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ALEX Lesson Plans Title: I'm Walking Through Functions Description: The I'm Walking Through Functions Description: The Title: How Do Functions Behave? Description: In How Do Functions Behave? Description: In Web Resources Podcasts Title: Logarithmic and Exponential Functions TV Description: This website has different videos explaining how to graph logarithmic and exponential functions. Standard(s): MI1 (9-12) 11: Describe the development of mathematical tools and their applicationsAssessments Interactives/Games as well as inequalities (opt) in all standard coordinate systems: Cartiesian plane, polar, spherical and cylindrical, all with amazing speed and results, which can be copied, emailed, or saved to the photo library. Learning Activities
Elementary Number Theory and Its Applications 9780321237071 ISBN: 0321237072 Edition: 5 Pub Date: 2004 Publisher: Addison-Wesley Summary: Elementary Number Theory and Its Applicationsis noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the m...athematical content and the exercises. The blending of classical theory with modern applications is a hallmark feature of the text. The Fifth Edition builds on this strength with new examples and exercises, additional applications and increased cryptology coverage. The author devotes a great deal of attention to making this new edition up-to-date, incorporating new results and discoveries in number theory made in the past few years. Rosen, Kenneth H. is the author of Elementary Number Theory and Its Applications, published 2004 under ISBN 9780321237071 and 0321237072. Twenty six Elementary Number Theory and Its Applications textbooks are available for sale on ValoreBooks.com, twenty one used from the cheapest price of $79.69, or buy new starting at $407
wh... read more Point Set Topology by Steven A. Gaal Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition. Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature." 1963Introduction to Topology: Third Edition by Bert Mendelson Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition. Product Description: who haven't time for extensive study and for beginning investigators. The book is not a substitute for a systematic text, but an unusually useful intuitive approach to the basic concepts. Its aim is to present these concepts in a clear, elementary fashion without sacrificing their profundity or exactness and to give some indication of how they are useful in increasingly more areas of mathematics. The author proceeds from the basics of set-theoretic topology, through those topological theorems and questions which are based upon the concept of the algebraic complex, to the concept of Betti groups which binds together central topological theories in a whole and upon which applications of topology largely rest. Wholly consistent with current investigations, in which a larger and larger part of topology is governed by the concept of homology, the book deals primarily with the concepts of complex, cycle, and homology. It points the way toward a systematic and entirely geometrically oriented theory of the most general structures of space. First English translation, prepared for Dover by Alan E. Farley. Preface by David Hilbert. Author's Foreword. Index. 25
Books Geometry & Topology From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book." For the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points. Some necessary concepts from linear algebra are included where appropriate. The first edition contained numerous worked examples and an ample collection of exercises for all of which solutions were provided at the end of the book. The second edition retains this feature but in addition offers a set of problems for which no solutions are given. Teachers may find this a helpful innovation. Orbit and Constellation Design and Management (OCDM) provides greatly expanded detail on many topics first introduced in the 2 of the earlier Wertz works - Spacecraft Attitude Determination and Control (SADC) and Space Mission Analysis and Design (SMAD). If these two books got you started in mission engineering and you need more detail on the key area of Spacecraft Orbit and Attitude Systems (SOAS), then this book provides more detail in SOAS requirements definition, mission geometry, orbit and constellation design, relative motion of satellites, observation and measurement systems engineering, orbit control and management, and similar topics. The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the important applications of analysis leading to numerical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification. The basic study of fundamental notions, such as Lebesgue integration and theory of distribution, allow the establishment of the following areas: Fourier analysis and convolution Filters and signal analysis time-frequency analysis (gabor transforms and wavelets). The whole is rounded off with a large number of exercises as well as selected worked-out solutions. This valuable teachers resource provides teachers with classroom tested activities that help children develop in-depth understandings about 2-D and 3-D geometry concepts and spatial awareness. Understanding Geometry is more than a book about geometry activities. Kathy provides the following resources for teachers: - Background information on what we need to know about geometry - Assessment and observation moments are highlighted - Geometry Terminology Glossary - Planning Guide for Grades K-3 - Task Cards This book comprises a broad selection of expository articles that were written in conjunction with an international conference held to honor F.W. Gehring on the occasion of his 70th birthday. The objective of both the symposium and the present volume was to survey a wide array of topics related to Gehring's fundamental research in the field of quasiconformal mappings, emphasizing the relation of these mappings to other areas of analysis. The book begins with a short biographical sketch and an overview of Gehring's mathematical achievements, including a complete list of his publications. This is followed by Olli Lehto's account of Gehring's career-long involvement with the Finnish mathematical community and his role in the evolution of the Finnish school of quasiconformal mapping. The remaining articles, written by prominent authorities in diverse branches of analysis, are arranged alphabetically. The principal speakers at the symposium were: Astala, Baernstein Earle, Jones, Kra, Lehto, Martin, Sullivan, and Va"isa"la". Other individuals, some unable to attend the conference, were invited to contribute articles to the volume, which should give readers new insights into numerous aspects of quasiconformal mappings and their applications to other fields of mathematical analysis. Friends and colleagues of Professor Gehring will be especially interested in the personal accounts of his mathematical career and the descriptions of his many important research contributions. The subject of space-filling curves has generated a great deal of interest in the 100 years since the first such curve was discovered by Peano. Cantor, Hilbert, Moore, Knopp, Lebesgue, and Polya are among the prominent mathematicians who have contributed to the field. However, there have been no comprehensive treatments of the subject since Siepinsky's in 1912. Cantor showed in 1878 that the number of points on an interval is the same as the number of points in a square (or cube, or whatever), and in 1890 Peano showed that there is indeed a continuous curve that continuously maps all points of a line onto all points of a square, though the curve exists only as a limit of very convoluted curves. This book discusses generalizations of Peano's solution and the properties that such curves must possess and discusses fractals in this context. The only prerequisite is a knowledge of advanced calculus. The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches. The completeness of the theoretical account, combined with the wide scope of the collection of practical examples have resulted in a book that will be indispensable for pure mathematicians, applied mathematicians, and physicists. The purpose of this book is to explore the rich and elegant interplay that exists between the two main currents of mathematics, the continuous and the discrete. Such fundamental notions in discrete mathematics as induction, recursion, combinatorics, number theory, discrete probability, and the algorithmic point of view as a unifying principle are continually explored as they interact with traditional calculus. The book is addressed primarily to well-trained calculus students and those who teach them, but it can also serve as a supplement in a traditional calculus course for anyone who wants to see more. The problems, taken for the most part from probability, analysis, and number theory, are an integral part of the text. There are over 400 problems presented in this book. In this second edition of a Carus Monograph Classic, Steven G. Krantz, a leading worker in complex analysis and a winner of the Chauvenet Prize for outstanding mathematical exposition, develops material on classical non-Euclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disk. He also introduces the Bergmann kernel and metric and provides profound applications, some of which have never appeared in print before. In general, the new edition represents a considerable polishing and re-thinking of the original successful volume. A minimum of geometric formalism is used to gain a maximum of geometric and analytic insight. The climax of the book is an introduction to several complex variables from the geometric viewpoint. Poincaré's theorem, that the ball and bidisc are biholomorphically inequivalent, is discussed and proved.
CAHSEE Mathematics - Chapter 1 Notes To The Teacher Introduction How to use the Student Workbook? The student workbook was designed to be used as independent study or in after school tutoring classes. Therefore, the directions and activities are simplified and cut to the core of what will be tested on CAHSEE Math. It is also perfect for parents to use with their children, for students to study at home, or for teachers to use in class with study groups where each group is self-paced. The student workbook is also great for short-term review classes that precede a test administration date and for students who have taken CAHSEE Math one or more times without passing. Math and Test Anxiety Reduction Strategies Were Used As Follows: • Attractive Colors with "friendly font." • Overview information is provided so students know exactly what is on the test. • Students project what their score might be so they know how to improve. • Students are guided to develop a focused study plan so they don't become overwhelmed trying to study "everything;" including information that is not tested. • The standards are referenced for each practice problem so students can prioritize and focus on studying the content they need to know. How to use this Teacher Edition? This Teacher Edition (TE) will give you ideas on how to support students as they implement their independent study plan which focuses on specific areas of math content identified through the Self-Analysis. The focus of the student workbook is for students to gain a strategy to pass CAHSEE math and review the math content that will be tested in the context of achieving proficiency on the exam. Therefore, helping students complete the Self-Analysis and then translating those results into a study plan is critical. • If teaching in a short-term whole group setting, individual or group assistance is recommended over whole class instruction. However, we do recommend direct instruction to familiarize students with test taking strategies. The blackline masters in each content section facilitate this process. The Teachers' Role: • Demystify the CAHSEE Math Test • Policy information is included in the student edition. The included excerpts were taken directly from bulletins on the California Department of Education (CDE) website. The policy information provided addresses common concerns that students have about the test. Be sure to allow time for students to read and discuss the regulations. • Allow students time to study the CAHSEE Math blueprints in their student workbook so they know what is being tested. • Allow students to turn to the practice problems to see examples of what math problems look like that go with a given standard. In the right corner of each practice problem, the standard for that problem is referenced as well as how many items from that standard will appear on CAHSEE Math. CAHSEE Math Teacher Edition CAHSEE Mathematics - Chapter 1 Notes To The Teacher How To Use The Blueprint In order to make what is on CAHSEE Math clear, ask students the following questions as they look at the blueprints in their student workbook: How many problems are on CAHSEE Math? (80) Note: the state will add in 2 field test questions for a total of 92 items. However, a students' score is based on the 80 items. Most of the standards tested on the CAHSEE Math come from what grade? (7) Which standards have the most test items? (3 items… 6SDAP. Compute the mean, median, and mode of data sets; 7 NS .2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number power; 7AF . Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph. 7AF 4. Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. 7MG2. Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. All of the standards from grade six fall under which mathematical strand? (Statistics, data and probability) How many statistics, data and probability questions are there from grade 6? (8) How much time do you have to complete the test? (the test is untimed) Remind students to ask for time beyond the allotted in the testing schedule, if needed. What math content strands (areas) are tested on CAHSEE Math? • Part of algebra • Algebra and functions • Statistics, data and probability • Measurement and geometry • Mathematical reasoning • Number sense What math content areas have the most test questions on CAHSEE Math? Algebra and Functions (7 items) Measurement and Geometry (7 items) What are some other things that you know about CAHSEE Math based on looking at the blueprints? (Make sure students defend their answers by referencing what they are looking at on the blueprints) Possible Observations: • Most of the standards in grade 6 and Algebra are not on the test. • Combining grade 7 algebra and functions with algebra , makes a lot of algebra questions. • A lot of the math content has only question on the test. • Statistics, data and probability has questions from grade 6 and 7. CAHSEE Math Teacher
You've already been using functions in algebra, but just didn't realize it. Now you will. By introducing a little more notation and a few new ideas, you'll hopefully realize that functions are a very, very powerful tool. This tutorial is an old one that Sal made in the early days of Khan Academy. It is rough on the edges (and in between the edges), but it does go through the basic idea of what a function is and how we can define and evaluate functions. What values can you and can you not input into a function? What values can the function output? The domain is the set of values that the function is defined for (i.e., the values that you can input into a function). The range is the set of values that the function output can take on. This tutorial covers the ideas of domain and range through multiple worked examples. These are really important ideas as you study higher mathematics. You know a function when you see one, but are curious to start looking deeper at their properties. Some functions seem to be mirror images around the y-axis while others seems to be flipped mirror images while others are neither. How can we shift and reflect them? This tutorial addresses these questions by covering even and odd functions. It also covers how we can shift and reflect them. Enjoy! In second grade you may have raised your hand in class and asked what you get when you divide by zero. The answer was probably "it's not defined." In this tutorial we'll explore what that (and "indeterminate") means and why the math world has left this gap in arithmetic. (They could define something divided by 0 as 7 or 9 or 119.57 but have decided not to.) Functions associate a set of inputs with a set of outputs (in fancy language, they "map" one set to another). But can we go the other way around? Are there functions that can start with the outputs as inputs and produce the original inputs as outputs? Yes, there are! They are called function inverses! This tutorial works through a bunch of examples to get you familiar with the world of function inverses.
AP Calculus BC provides a deeper understanding of the fundamental concepts and methods of single-variable calculus developed in AP Calculus AB. There is a continued emphasis on calculus applications and techniques, with the use of multiple representations including graphic, numeric, analytic, algebraic, and verbal and written responses. Topics of study include: functions (including parametric, polar and vector), limits, derivatives, the interpretation and application of integrals, and polynomial approximations and series. Technology is an integral part of the course and includes the use of graphing calculators, computers, and data analysis software. On a regular basis, graphing calculators are used to explore, discover, and reinforce concepts of calculus. Though our system has an open enrollment policy, students should understand that this course is designed to be a fourth-year mathematics course and the equivalent of a year-long, college-level course in single variable calculus. The course requires a solid foundation of topics in advanced algebra, geometry, trigonometry, analytic geometry, and elementary functions. The breadth, pace, and depth of material covered exceeds the standard high school mathematics course, as does the college-level textbook, and time and effort required of students. AP Calculus BC is an extension of AP Calculus AB, and provides the equivalent of a second course in a college calculus sequence, while AP Calculus AB provides the equivalent of the first course in a college calculus sequence. Students are expected to take the AP Calculus BC Exam at the end of this course. Develop an in-depth understanding of major topics of calculus including functions, limits, derivatives, integrals, and polynomial approximations and series. Incorporate multiple representations of functions using graphic, numeric, analytic, algebraic, and verbal and written responses, and understand the connections among these representations. Construct an understanding of derivatives as an instantaneous rate of change, applications of derivatives as functions, and use various techniques to solve problems including local linear approximations. Understand definite integrals as a limit of Riemann sums, and as the net accumulation of sums, and use them to solve a variety of problems. Develop an understanding of the Fundamental Theorem of Calculus as a relationship between derivatives and definite integrals. Understand the concept of a series as a sequence of partial sums, and use the Power series and Taylor polynomial approximations and series. Analyze parametric, polar, and vector functions through the use of parametric equations, polar coordinates, and derivatives and applications of these functions
UltimaUltimaCalc is a collection of mathematical tools in one program, for scientists, engineers, and students. Perform symbolic algebra simplify expressions and differentiate them. Integrate an expression and see how the result was obtained. Factorize polynomials, divide a polynomial by another, and find their GCDs. The calculator window accepts mathematical expressions as plain text, evaluates them to 38 digit precision, and logs the
GCSE Mathematics - Adult Learners Course details ThisRequirementsWhat you'll learn on the course GCSE Mathematics Course programme Course Level: Level 2 Entry RequirementsCourse Description: ThisCourse Content: The course is presented as three topic modules. The topics are Number, Data Handling, and then the main module Algebra and Shape and Space. An advantage of the modular programme is that you will know your marks for the early modules before the end of the year and can re-take to improve your grades if you wish. Progression: Most people are taking GCSE Maths as it is a requirement for another course or for following an occupation. If you decide you enjoy Maths (many people do) and want to continue, the College provides an AS course in Maths. Board: AQA Benefits: A Grade C or better in GCSE Mathematics is regarded as an essential entry requirement for many courses and occupations. You will also improve your study skills and acquire useful problem-solving skills. Assessment: Assessment is by four written exams (one exam each for the Number and Data Handling modules and two exams for the Algebra and Shape and Space module). A course calendar showing exam dates will be provided early in your course. Course Length: 31 weeks. 3.5 hours hours per week. Starts 3rd week in September and runs till the end of May 3 - 3.5 hours a week evening or daytime weekdays and Saurdays Course Available at: Great Barr Campus Sutton Campus Add to comparator GCSE Mathematics - Adult LearnersBirmingham Metropolitan College Price on request Do you see something that is not right in this course? Let us know if there are any mistakes and you will help users like yourself.
Find a Penns GroveLinear, quadratic, exponential, logarithmic, polynomial, and rational functions are studied with an emphasis on making connections to other disciplines and as preparation for a multitude of careers. Students apply advanced data analysis techniques to find, justify and use the best-fit model from...
Mathematical Analysis for Business, Economics, and the Life and Social Sciences This book is ideal for one- or two-semester or two- or three-quarter courses covering topics in college algebra, finite mathematics, and calculus for ...Show synopsisThis book is ideal for one- or two-semester or two- or three-quarter courses covering topics in college algebra, finite mathematics, and calculus for students in business, economics, and the life and social sciences. Haeussler, Paul, and Wood establish a strong algebraic foundation that sets this text apart from other applied mathematics texts, paving the way for students to solve real-world problems that use calculus. Emphasis on developing algebraic skills is extended to the exercises-including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize manageability for teachers and learning for students. The table of contents covers a wide range of topics efficiently, enabling instructors to tailor their courses to meet student needs
Introduction to Real Analysis (Hardcover) Introduction to Real Analysis Book Description This text provides the fundamental concepts and techniques of real analysis for students in all of these areas. It helps one develop the ability to think deductively, analyse mathematical situations and extend ideas to a new context. Like the first three editions, this edition maintains the same spirit and user-friendly approach with addition examples and expansion on Logical Operations and Set Theory. There is also content revision in the following areas: introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible. Popular Searches The book Introduction to Real Analysis by Robert G Bartle, Donald R Sherbert (author) is published or distributed by John Wiley & Sons [0471433314, 9780471433316]. This particular edition was published on or around 2011-1-18 date. Introduction to Real Analysis has Hardcover binding and this format has 402 number of pages of content for use. The printed edition number of this book is 4. This book by Robert G Bartle, Donald R Sherbert
97802010739Abstract Algebra: A First Course The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course
Browse Results Modify Your Results Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained
MCS 314: Modern Algebra II (Spring 2013) General Day to Day Useful Links Course Description Overview Abstract algebra has its roots in the centuries-old efforts of mathematicians to find solutions to polynomial equations. Over the last few hundred years, as the subject has evolved, it has become the source of some of the most widely used tools in mathematics. Groups, rings, fields, and related algebraic structures are used in almost all areas of mathematics - analysis, topology, number theory, discrete mathematics - as well as in physics, chemistry, computer science, and other disciplines. This course will continue where MCS-313 left off, focusing on rings, fields, and a branch of algebra called Galois theory, which can be used to settle such classical questions as the squaring of the circle, the trisection of an arbitrary angle by straight edge and compass, and the solution of polynomial equations of degree five or greater. Course Objectives to continue to develop the ability to think abstractly, make conjectures, and understand and write rigorous mathematical proofs to learn and practice how to present mathematics orally to continue to understand the basic philosophy, purpose and history behind the development of abstract algebraic structures to understand Galois theory, which involves an an interplay between the most common algebraic structures - groups, rings and fields - to answer apparently unrelated classical questions in particular, to understand how questions in one area (field theory) can be answered by translating those questions in another area (group theory) using correspondences called functors Text Contemporary Abstract Algebra, seventh edition, by Joseph Gallian. For the second half of the course, I will Probably distribute as set of notes on Galois theory which wil supplement Gallian. For each class session, I encourage you to read the pertinent portion of the text at least once beforehand and at least twice afterwards. Study the book with a pencil in hand. Make notes in it. Mark where you have questions. Do NOT try the exercises without reading the text; simply skimming the examples is not sufficient. You will find that it will be necessary to read the text several times before attempting any exercises. Classes Classes will be used for lectures, problem solving, discussions, and other fun activities. You should prepare for classes by doing the reading beforehand (reading assignments are posted on the Web), thinking about the problems in the text, and formulating questions of your own. You should also participate as much as possible in class. Class meetings are not intended to be a complete encapsulation of the course material. You will be responsible for learning some of the material on your own. Should you need to miss a class for any reason, you are still responsible for the material covered in that class. This means that you will need to make sure that you understand the reading for that day, that you should ask a friend for the notes from that day, and make sure that you understand what was covered. If there is an assignment due that day, you should be sure to have a friend hand it in or put it in my departmental mailbox (in Olin 312). You do not need to tell me why you missed a class unless there is a compelling reason for me to know. Two comments: Attendance, both physical and mental, is required. I reserve the right to lower your grade if you habitually miss class or fail to participate in class. Texting is not permitted in class. If you receive an urgent phone call, please just leave the class quietly and deal with the call. Guidelines for writing proofs Since one of the main objectives of this course is for you to understand how to write rigorous mathematical proofs, I am including the following link giving guidelines for writing proofs. I will use these guidelines when I am grading your mastery and exam problems (described below) as well as the proofs you write on exams. Homework I will assign homework at the beginning of each chapter by posting them on the web. The problems will be designated as practice problems, mastery problems, and exam problems: Practice problems are problems to give you practice understanding and presenting mathematics. You should do these problems as you read the material and prepare for class. You will often be asked to present your solutions in class on the day we cover the material. You may work together on these problems, and they will be fair game for the tests. Mastery problems are homework problems that are graded on an mastered/not mastered basis. You may turn in any individual homework problem in class whenever you think you have it solved, and I will return it to you by the next class, if not earlier (in which case I will put it outside my office in a folder I will supply for you), but normally with only an indication of whether it is acceptable or needs more work. The reason why I won't write much on the work I turn back to you is because I would like to talk with you face-to-face. If a problem needs more work, you should treat that as an invitation to come talk with me about it. Once you've done the additional work, you may turn the problem in again, attached to the original (you need to re-write it, but I would like to see what you did before). If your write-up is messy or grammatically incorrect, I will return it as not mastered. I only allow you to turn it on class days, since I want to force you to be careful about what you hand in, and not rely on me to make minor edits. I will give a deadline for each problem and until that deadline you may turn it in as often as there are class days. Mastery problems must be done individually, with no help from other people, books, or on the internet. Exam problems are problems that each of you must do individually. You can think of these as miniature take-home tests; you are on your honor not to cheat by consulting other people, books, or on the internet. These problems will be graded using a 10 point scheme for each problem, and, except in extreme circumstances, you only have one chance to do each one. Exam problems are due on the day listed on the assignment. Presentations There will be two forms of presentations in this course: Presentations of your solutions to the practice problems described above. I expect these presentations to be at most 5 minutes and will be graded on a 3-point scale. A longer presentation of a topic from Galois theory during the second half of the semester. Your presentation will be anywhere from 20-50 minutes in length and will be over a topic we will agree upon and for which you will have some weeks to prepare. Tests There will be two exams: a mid-term and a final. These tests will be closed-book and closed-notes, though I will allow you a note-sheet or note-card of size to be specified later. Course grade The course components will contribute to your grade in the following proportion: Practice problems/Class participation 10% Mastery problems 10% Exam problems 10% Longer presentation 10% Mid-term 30% Final 30% Academic Integrity You are expected to to adhere to the highest standards of academic honesty, to uphold the Gustavus Honor Code and to abide by the Academic Honesty Policy. A copy of the honor code can be found in the Academic Bulletin and a copy of the academic honesty policy can be found in the Academic Polices section of the Gustavus Guide. On practice problems, I encourage you to discuss problems and their solutions with each other. However, each of you should first make a real effort to solve each problem by yourself. On mastery problems, exam problems, and the tests, you are expected to work completely by yourself, and to sign the honor pledge on each of these assignments. The first violation of this policy will result in a 0 on that assignment and notification of the Dean of Faculty. Further violations will result in failing the course. Disability Services Gustavus Adolphus College is committed to ensuring the full participation of all students in its programs. If you have a documented disability (or you think you may have a disability of any nature) and, as a result, need reasonable academic accommodation to participate in class, take tests or benefit from the College's services, then you should speak with the Disability Services Coordinator, for a confidential discussion of your needs and appropriate plans. Course requirements cannot be waived, but reasonable accommodations may be provided based on disability documentation and course outcomes. Accommodations cannot be made retroactively; therefore, to maximize your academic success at Gustavus, please contact Disability Services as early as possible. Disability Services is located in the Advising and Counseling Center. Help for Students Whose First Language is not English Support for English Language Learners (ELL) and Multilingual students is available via the College's ELL Support staff person, Andrew Grace (7395). He can meet individually with students to consult about academic tasks and to help students seek other means of support. The ELL Support person can also consult with faculty members who have ELL and multilingual students enrolled in their classes. The College's ELL staff person can provide students with a letter to a professor that explains and supports academic accommodations (e.g. additional time on tests, additional revisions for papers). Professors make decisions based on those recommendations at their own discretion. In addition, ELL and multilingual students can seek help from peer tutors in the Writing Center.
From angles to functions to identities - solve trig equations with ease Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or worse yet, not know where to begin? No fear - this hands-on-guide focuses on helping you solve the many types of trigonometry equations you encounter in a focused, step-by-step manner.... more... If you're preparing for The American Institute of Professional Bookkeepers' (AIPB) bookkeeping certification test, you need an easy- to-follow test-preparation guide that gets you up to speed quickly in all of the bookkeeping basics, from setting up a company's books and recording transactions to managing employee payroll, handling government paperwork,... more... When you have the right math teacher, learning math can be painless and even fun! Let Basic Math and Pre-Algebra Workbook For Dummies teach you how to overcome your fear of math and approach the subject correctly and directly. A lot of the topics that probably inspired fear before will seem simple when you realize that you can solve math problems,... more... From genetics to ecology — the easy way to score higher in biology Are you a student baffled by biology? You're not alone. With the help of Biology Workbook For Dummies you'll quickly and painlessly get a grip on complex biology concepts and unlock the mysteries of this fascinating and ever-evolving field of study. Whether used as a complement... more... Gruber's Complete SAT Math Workbook includes shortcuts and tips, strategies and practice tests. It also features the exclusive Gruber system that has raised actual SAT scores by more than 600 points!This friendly self-help workbook covers mathematics essential to first-year undergraduate scientists and engineers. In the second edition of this highly successful textbook the author has completely revised the existing text and added a totally new chapter on vectors. more... Balance the books -- without all the headaches! Trying to get certified and become an accountant? Own a small business but need a little help balancing your books? Don't worry! This hands-on guide provides the learning and vital practice you need to master important accounting concepts and basics. Perfect as a companion workbook for Accounting For... more...
130, 145, 200, 241 Math 222 or ... Orientation Workbook ~ 29 CSM STUDENT EDUCATIONAL PLAN THIS IS YOUR WORKSHEET. KEEP A RECORD OF YOUR COURSE WORK AND PLANS. ... a student's and educational goals. Should be monitored each semester and revised and modified Copies of the 2011 Facilitator Guide and StudentWorkbook will be available for download from the ... RT-130. Core content is ... at Questions and Additional Information Firefighter Training, S-130 Fire Exercise Day INSTRUCTIONS TO THE INSTRUCTOR Exercise set up and logistics: ... Student demonstrated proper travel procedures (vehicle, foot, etc.) en route to and from an incident. Yes _____ No_____ If no is ... If the hours are a minimum versus recommended they will be ... In both the Instructor Guide and StudentWorkbook, Appendix A includes optional readings. Read through these articles before conducting the class so you have a good The files for the 'Four Step Programme to Times Tables' Handbook and StudentWorkbook may be freely distributed provided they are not altered in any way. Request to Schools ... ..………………………130 10. Square Numbers (1 ... The Glencoe Parent and Student Study Guide Workbook is designed to help you support, monitor, and improve your child's math performance. ... If she spent $130.29, what is a reasonable estimate for the cost of the third book? A $30.00 B $35.00 C $40.00 D $25.00 Show What You Know® on STAAR for Grade 4 Mathematics, StudentWorkbook includes many features ... H 130 calories J 113 calories 23 The fourth grade classes at Pinedale Elementary School are going on a field trip to the natural history museum. StudentWorkbook. ii TO THE STUDENT ... each section of the Student Edition, you are alerted to key terms, asked to draw ... Study Guide 2 Russia's People and Culture 130 Study Guide 3 The Republics Emerge 135 Birthplace of Civilization The All-in-One StudentWorkbook, available as both on-level and adapted for special needs, ... ongoing student support o Teacher's Edition – Provides comprehensive support for planning, ... 130-134, 153, 537-538, 540-545, 553 ... student achievement. This workbook, along with many other resources including videos of classroom instruction, pre- and post-conferences ... ... demonstrates familiarity with each student's background knowledge and experiences, ...
The two Ordinarylevel courses are complementary to each other, catering for different populations with different interests, needs, ... new syllabus in Mathematics – Foundation Level has been introduced for the Leaving Certificate Examination in 1997 and after. 3.6 ORDINARY ALTERNATIVE COURSE: ...12,Cover sheet01,Cover sheet GCE OrdinaryLevel Syllabus Booklet London Examinations GCE OrdinaryLevel Chemistry (7081) May/June 2005 January 2006. Edexcel is one of the leading examining and awarding bodies in the UK and throughout the world. ordinarylevelmathematics pupils of 54%, high school B had 25% of pupils and high school C had 21% with a total enrolment of 784. The researchers opted for form four pupils just before they sat for their final national examinations in 2010 so as to get pupils attitudes after preparing ... Relatively few students who pass OrdinaryLevelMathematics go on to take Advanced LevelMathematics two years later in form 6B. 11. The G.C.E. OrdinaryLevel, a most important milestone in the life of every Ordinary: This paper will cover the Leaving Certificate OrdinaryLevelMathematics syllabus as defined for Leaving Certificate Examinations 2013. There will be two sections A & B in the paper, each having four questions. Section A competence for effective teaching of Basic and Additional Mathematics in the ordinarylevel secondary schools. Rationale for review of the subject syllabus Mathematics is poorly performed subject at al levels of education in the country. must pass the OrdinaryLevel examination in order take the Advanced Level examination. ... = 360) were mathematics test marks of grade 11 Ordinarylevel students in Dehiowita educational zone collected during the last term of the 2009 school year. and OrdinarylevelMathematics. The main objective of the enquiry was to provide an active and collaborative learning environment, in which students could elicit previous knowledge and develop or construct new knowledge through applying new technologies
Buy PDF "No matter how it's calculated, more students, combined with greater difficulty, equates to big demand for help with advanced algebra. The percentage of high school graduates who have taken Algebra II has more than doubled in the last two decades. Algebra II is a prerequisite to trigonometry and calculus–both required for careers in science, math, and business. There is also an increased emphasis on algebra and advanced algebra in standardized tests such as the all-important ACT and SAT. This book picks up where Algebra For Dummies, America's top-selling algebra title, leaves off. It emphasizes the meaning and use of linear and quadratic equations; polynomial, exponential, and logarithmic functions; and irrational and complex numbers. In addition, it covers in-depth graphing and inequalities and introduces probability, statistics, sequences, and series. Perfect for students and others who want to go beyond the basics of algebra, this guide does it all in the friendly, unintimidating For Dummies style with easy-to-understand, step-by-step examples and explanations. Mary Jane Sterling (Peoria, IL), author of Algebra For Dummies (0-7645-5325-9), Trigonometry For Dummies (0-7645-6903-1), Algebra Workbook For Dummies (0-7645-8467-7), and Trigonometry Workbook For Dummies (0-7645-8781-1), is a lecturer in mathematics at Bradley University in Peoria, Illinois, where she teaches courses in algebra and calculus. She has more than 30 years of experience as a teacher of higher mathematics. "
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).Pc Calculator is a clever note and formula editor combined with an advanced and strong scientific calculator. Being an editor it is extremely user-friendly allowing all possible typing and other errors to be easily corrected and fast recalculated
Modify Your Results The unique feature of this compact student's introduction is that it presents concepts in an order that closely follows a standard mathematics curriculum, rather than structure the book along features of the software. As a result, the book provides a brief introduction to those aspects of the Mathematica software program most useful to students. The second edition of this well loved book is completely rewritten for Mathematica 6 including coverage of the new dynamic interface elements, several hundred exercises and a new chapter on programming. This book can be used in a variety of courses, from precalculus to linear algebra. Used as a supplementary text it will aid in bridging the gap between the mathematics in the course and Mathematica. In addition to its course use, this book will serve as an excellent tutorial for those wishing to learn Mathematica and brush up on their mathematics
Elementary Algebra - 9th edition Summary: Ideal for lecture-format courses taught at the post-secondary level, ELEMENTARY ALGEBRA, Ninth Edition, makes algebra accessible and engaging. Author Charles ''Pat'' McKeague's passion for teaching mathematics is apparent on every page. With many years of experience teaching mathematics, he knows how to write in a way that you will understand and appreciate. His attention to detail and exceptionally clear writing style help you to move through each new concept with ease, and real-wor...show moreld applications in every chapter highlight the relevance of what you153.42 +$3.99 s/h New Textbookcenter.com Columbia, MO Ships same day or next business day! UPS(AK/HI Priority Mail)/ NEW book $160160
thirteen books of Euclid's Elements. Often called the Father of Geometry, Euclid was a Greek mathematician living during the reign of Ptolemy I around 300 BC. Within his foundational ...Show synopsisOften called the Father of Geometry, Euclid was a Greek mathematician living during the reign of Ptolemy I around 300 BC. Within his foundational textbook "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized meticulous proofs and a brief set of axioms to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For 23 centuries, this work was the primary textbook of mathematics, containing the only possible geometry known by mathematicians until the late 19th century. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements" and is translated by Thomas Heath.Hide synopsis 1. Softcover, Pranava Books, 2013 Description:New. 439 pages. Reprinted from 1908 edition. New 2013 edition...New. 439 565 pages. Reprinted from 1908 edition. New 2013 edition...New. 565 449 pages. ReInk Books reprint from the 1908 edition. This...New. 4494. Softcover, ReInk Books, 2012-13 Description:New. 456 pages. ReInk Books reprint from the 1908 edition. This...New. 4565. Softcover, ReInk Books, 2012-13 Description:New. 570 pages. ReInk Books reprint from the 1908 edition. This...New. 570Description:New. This item is printed on demand. Often called the Father of...New. This item is printed on demand. Often called the Father of Geometry, Euclid was a Greek mathematician living during the reign of Ptolemy I around 300 BC. Within his foundational textbook "Elements, " Euclid presents the results of earlier mathematicians
Forget taking down calculus formulas on a paper! Calculus Quick Reference lists down all the important formulas and evaluation techniques used in calculus which makes it easier for you to memorize and apply them in solving problems. The topics include: 1) Limits (Basic Properties, Basic Limit Evaluations, Evaluation Techniques)
offers four practice exams in Calculus AB and four more in Calculus BC, all with answers and explanations. Extensive review sections cover functions and their graphs, derivatives and integrals, differential equations, sequences and series, and many applications. Students will also find important information about the AP testing program and guidelines for using a graphing calculator on the exam. Test-taking tips help students get higher scores.
extremely easy class but with an extremely boring and bland teacher. his classes are so boring that it is quite hard staying for the whole 3h. his book is ok but it doesn't have enough problems and contains lots of mistakes. word of advice: if you have a friend taking the same class with another teacher that use another book, borrow it from them
Book DescriptionEditorial Reviews Review From Book News, Inc. A general introduction to the popular mathematics software product, emphasizing graphics, methods of applied mathematics, and programming. Assumes no previous experience with the software, but at least some background in differential and integral calculus, equations, optimization, interpolation, approximation, differential and partly differential equations, probability, statistics, and the other mathematical functions described. The CD-ROM allows the entire text to be entered into the help system of ; it can be read with Windows, Macintosh, or Unix. Book News, Inc.r, Portland, OR Praise for the 2nd Edition: "Each [chapter] is a gem of clarity and concise application, but space limits the praise. If the book has any failings, it is in leaving the reader begging for more." - John A. Wass, Scientific Computing "Novices or beginners who may be students of engineering, science or mathematics ... definitely needs Mathematica Navigator. ... Those who do not use Mathematica everyday, and may work with it for a period of time and then not again for several weeks or more ... finds that Mathematica Navigator is totally indispensable. ... Finally, some users are constantly working with Mathematica, probably teaching courses or writing programs ... should definitely have Mathematica Navigator. ... Run, do not walk, to get your copy." - Robert M. Lurie, Mathematica in Education and Research "The present book is one of the best sources in many respects: its perfect layout, carefully thought-of exposition of the fine points of the software, sophisticated and illuminating examples that are all available on the accompanying CD-ROM. The topics discussed cover many topics which occur in the first two or three years of universioty curriculum in Mathematics such as calculus in single and several variables, linear algebra, differential equations, numerical analysis, partial differential equations." - Matti Vuorinen, Zentralblatt MATH "The book is a must for all beginners in Mathematica, and a great help as a reference for those who already know Mathematica." - K. Waldhör, Computing Reviews "... does a fantastic job at introducing Mathematica for the applied scientist. The book's use of Mathematica is slick, intelligent and comprehensive. It emphasizes Mathematica's strengths, and does it in the best possible way." - Joaquin Carbonara, Buffalo State University "This is an excellent reference book that I would recommend to any one who is thinking about becoming (or already is) a serious user of Mathematica ... I am particularly impressed by the organization which allows a mathematician to approach Mathematica by specific mathematical topics rather than using the organization of Wolfram's Mathematica Book. In addition, I find that the text is clearly written and the examples are well-chosen." - Bill Emerson, Metropolitan State University "There is a great need for this book. The outstanding feature of Mathematica Navigator is the great variety of Mathematica programs." - Mike Mesterton-Gibbons, Florida State University This comprehensive volume covers many topics. Indeed, I would probably call it the most COMPREHENSIVE yet GENERAL text on the inner workings of the Mathematica program. For instance, Dr. Ruskeepaa treats the topic of 4 dimensional graphics, and I have not found that topis highlighted in any text. Furthermore, when it comes to specific mathematical models, such as difference equations, more information is located in this volume that anywhere else [except perhaps the on-line MathSource Mathematica Library]. Dr. Ruskeepaa's book not only demonstrates the basics in each category, but goes beyond what other resources have taught me. I highly recommend this book! Additionally, the CD-ROM which accompanies the book is quite handy. Lastly, I have had occaision to ask Dr. Ruskeepaa specific questions, and he has been MORE THAN HELPFUL and PUNCTUAL in providing me with solutions from his vast Mathematica knowledge. FIVE STARS -- better than any Mathematica book [I've seen most Mathematica books about graphics, physics and science; and programming]. The positive reviews were right on the money, this book is the best! It allowed me to start using Mathematica with ease, compared to the many hours of past frustration while working on optimizations. I fought endlessly, struggling to decipher the software's baroque navigation, cryptic errors, hostility to the user which borders on abuse - but now Mathematica and I are becoming great friends thanks to Heikki Ruskeepaa's wonderful tome. THANK YOU FOR WRITING THIS BOOK!!! Of particular benefit is the guidance s/he provides for best practices in formatting cells to avoid common, productivity-killing pitfalls. I have many books on Mathematica and use Mathematica a lot to do both symbolic and numerical calcualtions. This book is the best I have seen. I would recommend it to anyone using Mathematica for serious symbolic or computational work. If you are looking for a book about applied mathematics and numerical methods with Mathematica this is the one. The treatment of the graphical capabilities of Mathematica is complete and very useful. The only minor criticism I would have for this book is that it has no unsolved exercises and problems. However the examples presented are excellent. I have the highest regard for the author of this book. He has produced a superb piece of work! Mathematica is an excellent program, with good built-in and online documentation - although many feel the Documentation Centre in version 6 is not as good as the Help Browser in version 5.2. But sooner or later you will find a problem for which the official Mathematica documentation does not help. The program can then be very frustrating, as the syntax is complicated and error messages can be very cryptic. Help online is painfully slow, as the official resource, the news group comp.soft-sys.math.mathematica (Mathgroup), is moderated, so help requests have to be approved before they will appear. (The newsgroup sci.math.symbolic is sometimes helpful and since its not controlled by Wolfram Research, posts appear immediately). Hence Mathematica users will need one or more good books - more so than with other similar programs such as Maple or Matlab. plus a few more old books I've either had a very long time or bought very cheaply on Amazon. Given the choice of only one book, I would choose Mathematica Navigator by Ruskeepaa. It comes with a CD-ROM which has the whole contents of the book, which may be integrated into Mathematica's help system. It's not unique in that respect, as so do Micheal Trott's Mathematica Guidebooks, but they have far too much irrelevant material in them. Ruskeepaa's book sticks to important facts about Mathematica. The book covers a wide range of topics. Sometimes I wish in more depth, but the book offers a good compromise between width and depth. In particular, the information on writing Mathematica programs is far too short, so its unlikely to satisfy someone wanting to write a major Mathematica package. For writing packages, Programming in Mathematica (3rd Edition) by Roman Maeder based on Mathematica 3 is arguably still the best, although Maeder's 1997 book is very old. The only significant fault I can find of Ruskeepaa's book is its age. Mathematica 6 is a really major upgrade from 5 with many functions now built into the kernel which previously needed to be loaded from packages. Many functions or options have been deprecated. As such, some of the information is no longer accurate. But given at the time of writing (December 2007) there is no book on Mathematica 6 published, I think Ruskeepaa's book, which is based on version 5, is the best Mathematica users can get. However, if by the time you read this, someone has published a book on Mathematica 6, then it might be worth buying that instead. I would have given this 5 stars, but it is getting a bit dated now.Read more › I started learning Mathematica with this book, and it got me up and running quickly. Concepts are presented in order (if a technique is used that hasn't been introduced yet, the reference to later in the book is always included). Explanations are clear. Multiple examples are included for more difficult concepts. What's more, it's a great reference... A good index and appropriate references are provided. I really couldn't fault this book in any way. While it is unlikely that there is a pure Mathematica course anywhere, the textbook for it already exists! Mathematica Navigator by Heikki Ruskeepaa is an absolutely wonderful book that teaches you everything you ever wanted to know about Mathematica. Out of about 10 books I've used, this book is THE BEST on Mathematica out there. As another reviewer has already pointed out, much of the material in this book is just a rehashed version of the Mathematica v6.0 documentation -- written by someone with a rather quirky grasp of English as a second language. However, Mathematica is now up to version 8, so the book is already out of date. Given that "Mathematica Navigator" is nothing but a feature-by-feature overview of Mathematica, it's not clear what value it offers. In comparing the third edition of "Mathematica Navigator" to a friend's copy of the second edition, I also noticed that the publisher has significantly decreased the size of the typeface used in the body of the text. This appears to be the publisher's strategy for including extra topics without adding many extra pages. Unfortunately, it makes the book very painful to read. At first glance, "Mathematica Navigator" gives the impression of being useful, but after reading it, the truth becomes clear: It's just the Mathematica documenation repackaged, printed in a typeface guaranteed to induce eye strain.
Numerical Mathematics and Computing 9780495114758 ISBN: 0495114758 Pub Date: 2007 Publisher: Thomson Learning Summary: Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more t...heoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION. Cheney, Ward is the author of Numerical Mathematics and Computing, published 2007 under ISBN 9780495114758 and 0495114758. Three hundred eleven Numerical Mathematics and Computing textbooks are available for sale on ValoreBooks.com, one hundred twenty six used from the cheapest price of $21.15, or buy new starting at $67
13 2010This book was recommended to me by one of the authors ... so I may be a bit biased. However it was money well spent. I teach grade 8 math in Ontario and although the title is "Secondary Mathematics" there is almost equal weight given to grade 7 and 8 level material. Not only is the theory sound, but the authors have compiled many many sample problems that are ready to use with a class. They are even organized by the strands used in the Ontario curriculum. This will certainly be a part of my teaching this year and in the future. 5.0 out of 5 starsNot just for high school - Grade 6 and up!Nov. 24 2010 By SarahQuilts - Published on Amazon.com Format:Paperback I love this book! I will admit to a slight bias - I met one of the authors, Amy Lin because she worked at my school board and she suggested I buy this book. It is money well spent. I really like that there are many many practical suggestions and example questions that you can use in the classroom right away. The questions are divided by strand, and there are enough that you could use them weekly through an entire year. I wish that the grade level was indicated in the title. Half of the content is geared towards grades 6-8 (and many of the lower grade questions would be good for high school classes too) There are two types of activities "open questions" that let students participate in a mathematical discussion at multiple levels, and "parallel tasks" that give student choice, but achieve the same big picture understandings. The authors even included scaffolding questions or prompting questions to help re-start a discussion that has stalled or help a student get started. Finally, there is a clear index organized by topic that lets you flip straight to the page that has the questions you need for today's lesson. 2 of 3 people found the following review helpful 2.0 out of 5 starsThere are NO questions.March 22 2013 By Janet Orloski - Published on Amazon.com Format:Paperback\|Amazon Verified Purchase This book addresses generalities about differentiation and does not include specific lessons that differentiate mathematics. I do not recommend this book. 5.0 out of 5 starsGreat Common Core resource!Dec 22 2013 By Emily Y. - Published on Amazon.com Format:Paperback I have used the questions and parallel tasks for math journals. My students love them because they can think outside the box, and there are no wrong answers. I especially appreciate the sample teacher questions that the authors provide to help facilitate class discussion. I would recommend this book to math teachers looking for a way to incorporate more writing and discussion in their class.
Lessons in Electric Circuits Vol V ReferenceMathematics for Photonics Education has developed program planning and course materials to support education and training for future and current photonics technicians. Classroom materials include Scientific Notification, Unit Conversion, Introductory Algebra, Introductory Geometry, Introductory Trigonometry, Exponents, Logarithms, and Graphing. Visitors can request evaluation copies of any of these materials or purchase them via the contact information given.Mon, 22 Oct 2012 10:56:35 -0500Do the Math by staff members at the University of Arizona's Center for Recruitment & Retention of Mathematics Teachers (CRR), Do the Math is a weekly cable television show that features mathematics teachers explaining key mathematical concepts. Recently, the folks at CRR decided to create a "best of" playlist that offers segments from this popular program. Here visitors will find 18 segments that last between 26 and 38 minutes. Some of the subjects covered include geometry, advanced algebra, and calculus. Visitors may be interested in the materials on the left-hand side of the page, such as an AP Calculus practice exam, information about the related academic programs offered at the University of Arizona, and more. Also, the site contains a listserv for mathematics teachers and information on upcoming conferences that may be of interest.Thu, 15 Mar 2012 03:00:05Aviation Maintenance Technician Handbook document from SpaceTEC National Aerospace Technical Education Center is one of three handbooks for people preparing for mechanic certification with airframe or powerplant ratings, or both. This particular volume contains information on mathematics, aircraft drawings, weight and balance, aircraft materials, processes and tools, physics, electricity, inspection, ground operations, and FAA regulations governing the certification and work of maintenance technicians.Wed, 20 Jul 2011 12:22:00EqWorld: The World of Mathematical Equations site contains methods and exact solutions for a multitude of mathematical equations, including algebraic, differential, partial differential, integral, and functional equations.Fri, 6 May 2011 03:00:02 -0500Engineering Faster Bikes is a video about Niko Henderson, an engineer for Easton Sports. He uses science, mathematics, engineering and innovative testing to help produce some of the fastest bikes on the road. Treat your students to a rare glimpse inside the research and development test laboratory at Easton Sports. Running time 4:45 minutes. Engineering Faster Bikes deals with the following: Frame Stress Subject: Mathematics Topics: Algebra Grades: 8 - 9 Concepts:- Function- Independent variable- Dependent variable- Linear Function- Slope- Extrapolation- Domain Knowledge and Skills:- Can find the slope of a linear function- Can solve equations of the form ax = b. A free 14 day trial is available for the site.Wed, 23 Mar 2011 03:00:03 -0500Federal Resources for Educational Excellence (Federal Resources for Educational Excellence) is a website from the Unitedropriate Math of All Students the technical math courses needed for your technology courses teaching the right math requirements? Please see this web site for ways to improve and enhance your math offerings. AMATYC has funding for the NSF CCLI grant, The Right Stuff, to provide mathematics faculty with resources that will enable them to explore best practices for college algebra. This award provides funds to construct, deliver, and evaluate a strand of AMATYC Traveling Workshops that will assist faculty who wish to explore best practices for their college algebra course.Thu, 10 Feb 2011 03:00:03 -0600
: Calculus, Volume I Hecht brings to bear the perspective of both historical concepts and contemporary physics. While the text covers the standard range of material from ...Show synopsisHecht brings to bear the perspective of both historical concepts and contemporary physics. While the text covers the standard range of material from kinematics to quantum physics, Hecht has carefully limited the math required to basic calculus and very basic vector analysis. He omits obscure, high-level topics while focusing on helping students understand the fundamental concepts of modern-day physics. Calculus and vector analysis are both painstakingly developed as tools, and then used only insofar as they illuminate the physics. Hecht deliberately paces comfortably, justifies where each topic is going, stops to take stock of where the students have been, and points out the marvelous unity of the discourse. Informed by a 20th century perspective and a commitment to providing a conceptual overview of the discipline, Hecht's CALCULUS 2/e keeps students involved and focused Volume 1. With CD! Shows some signs of wear, and may have...Good. Volume 1. With CD! Shows some signs of wear, and may have some markings on the inside. Shipped to over one million happy customers. Your purchase benefits world literacy! Description:Very Good. 053437350X Has some shelf wear, highlighting,...Very Good. 053437350X
Roads to Geometry 9780130413963 0130413968 Summary: Clarifying, extending and unifying concepts discussed in basic high school geometry courses, this text gives readers a comprehensive introduction to plane geometry. Wallace, Edward is the author of Roads to Geometry, published 2003 under ISBN 9780130413963 and 0130413968. Six hundred seventy six Roads to Geometry textbooks are available for sale on ValoreBooks.com, one hundred thirty seven used from the chea...pest price of $61.99, or buy new starting at $98.00.[read more] Pages have significant wear and cover is damaged. May have writing and highlighting throughout. All pages are intact. This item contains a significant amount if highlighting. [more] Pages have significant wear and cover is damaged. May have writing and highlighting throughout. All pages are intact. This item contains a significant amount if highlightingThis new book clarifies, extends, and unifies concepts discussed in basic high school geometry courses. It gives readers a comprehensive introduction to plane geometry in a h [more] This new book clarifies, extends, and unifies concepts discussed in basic high school geometry courses. It gives readers a comprehensive introduction to plane geometry in a historical context. Chapter topics include axiomatic sy.[less]
Mathematics Scoring rubric for summative assessment Holistic Scoring Guide for Mathematics Open-Ended (OE) Items (Generic Rubric) 3-Point Response The response shows complete understanding of the problem's essential mathematical concepts. The student executes procedures completely and gives relevant responses to all parts of the task. The response contains few minor errors, if any. The response contains a clear, effective explanation detailing how the problem was solved so that the reader does not need to infer how and why decisions were made. 2-Point Response The response shows nearly complete understanding of the problem's essential mathematical concepts. The student executes nearly all procedures and gives relevant responses to most parts of the task. The response may have minor errors. The explanation detailing how the problem was solved may not be clear, causing the reader to make some inferences. 1-Point Response The response shows limited understanding of the problem's essential mathematical concepts. The response and procedures may be incomplete and/or may contain major errors. An incomplete explanation of how the problem was solved may contribute to questions as to how and why decisions were made. 0-Point Response The response shows insufficient understanding of the problem's essential mathematical concepts. The procedures, if any, contain major errors. There may be no explanation of the solution or the reader may not be able to understand the explanation. The reader may not be able to understand how and why decisions were made. Re-writing the rubric for analytic/formative use 3-Point Response a) complete understanding of the problem's essential mathematical concepts b) executes procedures completely and c) gives relevant responses to all parts of the task. d) few minor errors, if any. e) clear, effective explanation detailing how the problem was solved showing how and why decisions were made. 2-Point Response a) nearly complete understanding of the problem's essential mathematical concepts b) executes nearly all procedures c) gives relevant responses to most parts of the task d) may have minor errors e) explanation detailing how the problem was solved may not be clear causing the reader to make some inferences. 1-Point Response a) limited understanding of the problem's essential mathematical concepts b) procedures may be incomplete c) may contain major errors d) incomplete explanation of how the problem was solved reader may not be able to understand how and why decisions were made 0-Point Response a) insufficient understanding of the problem's essential mathematical concepts b) procedures, if any, contain major errors c) may contain major errors d) the explanation not understandable reader may not be able to understand how and why decisions were made Re-casting the rubric for analytic/formative use only 0 1 2 3 a) understanding of the insufficient limited nearly complete complete problem's essential mathematical concepts b) procedures if any, contain may be executes nearly all executes major errors incomplete completely c) relevant responses to most parts of the to all parts of the task task d) errors major major minor minor, if any e) how the problem was explanation incomplete explanation not clear, effective solved not explanation clear explanation understandabl reader may reader may shows how e not need to make and why reader may understand some decisions were not how and why inferences made understand decisions were how and why made decisions were made
Introduction to Lattices+order 9780521365840 ISBN: 0521365848 Publisher: Cambridge University Press Summary: This is the first introductory textbook on ordered sets and lattices, and covers both the basic theory and its applications. The importance of ordered structures has been increasingly recognised in recent years due to an explosion of interest in computer science and all areas of discrete mathematics. The authors provide a thorough introduction to ordered sets, lattices, distributive lattices and Boolean algebras. Ord...ered sets, and in particular lattices, can be represented pictorially, and this key feature is emphasised throughout. Lattices are also considered as algebraic structures and their study from this viewpoint reinforces ideas encountered in the theory of groups and rings. The representation of distributive lattices by ordered topological spaces is presented; a self-contained treatment of the requisite topology is included. Two chapters are devoted to topics with application to computer science. These cover complete partial orders, domains (including their relation to information systems), and fixpoint theory. Another chapter deals with formal concept analysis - a new and important application of lattice theory of interest to mathematicians and social scientists. Prerequisites are minimal; all that is assumed is exposure to the notation of set theory and elementary abstract algebra. The numerous classroom-tested exercises will make the book especially useful for course accompaniment, but it will also be valuable as a background reference for mathematicians, logicians and computer scientists. Priestly, H. A. is the author of Introduction to Lattices+order, published under ISBN 9780521365840 and 0521365848. One Introduction to Lattices+order textbook is available for sale on ValoreBooks.com, and one used from the cheapest price of $100.92.[read more] Seller Rating:(0) Ships From:Lee's Summit, MOShipping:StandardComments:Ex-library but only has one small sticker on cover. Binding is tight. Cover is clean. Pages are v... [more]Ex-library but only has one small sticker on cover. Binding is tight. Cover is clean. Pages are very crisp and unmarked. [less]
Abstract Numerous examples help the reader to quickly solve a variety of differential equations in the open source software R Shows how R can be used as a problem solving environment, using examples from the biological, chemical, physical, mathematical sciences Introduces the theory behind solution methods of differential equations at a basic level Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematical background. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differential equations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Many examples are well-known test examples, used frequently in the field of numerical analysis.
Main navigation This book is an informal guide to Intermediate Olympiads, not only for potential candidates, but for anyone wishing to tackle more challenging problems. The discussions of sample questions aim to show how to attack a problem which may be quite unlike anything seen before. Includes 10 years' IMOK Olympiad papers (Cayley, Hamilton, Maclaurin) and their solutions. For ages 13-16. Latest News The final deadline for JMC 2014 entries (UK) is Fri 28 Mar. Cost is £13 per pack of 10 papers. Click here for an entry form. About the Trust The UK Mathematics Trust (UKMT) is a registered charity whose aim is to advance the education of children and young people in mathematics. The UKMT organises national mathematics competitions and other mathematical enrichment activities for 11-18 year old UK school pupils. We were established in 1996 and last academic year over 600,000 pupils from 4,000 schools took part in the three individual challenges, the UK's biggest national maths competitions. Each challenge leads into a follow-on Olympiad round and we run mentoring schemes and summer schools for high performing students as well as training the team of six to represent the UK in the International Mathematical Olympiad. We also run team maths competitions for two age ranges, publish books and organise enrichment seminars for teachers.
A Level Heinemann Modular Mathematics for Edexcel AS and A Level The most extensive course for Edexcel A level maths Drawing on over 10 years' experience of publishing for Edexcel maths, this series brings you dedicated textbooks and revision guides plus solutionbank CD-ROMs to help you give your students a clear route to success. Plus they're written by the Edexcel examiners! Core books Ease the transition from GCSE to A level with concise and manageable texts. Endorsed by Edexcel, the author team includes experienced examiners to provide students with what they need to succeed. Exam-focused, the textbooks offer plenty of exercises, worked examples and practice questions to help students prepare for their exams. Provides thorough coverage, to the right depth, of all the topics needed for the new specification. These books are suitable for the International Baccalaureate Diploma. Take a look at the matching chart to see how each book is matched to topics in the syllabus. Revision Guides Include worked examination questions and examples with hints on answering examination questions successfully. Offer a test-yourself section to make sure students are ready for the exam. Cover key points to reinforce the teaching students have received through the course. Includes answers to all the questions so students can check their work. Solutionbanks Offer a complete set of solutions to the questions in the textbooks, showing students exactly how to lay out a perfect exam answer. Give examiners' hints on the questions where students need them most, giving the first step and helping students work towards a solution themselves. Offers a straightforward interface to questions, hints and solutions can be displayed and printed quickly and easily. Available in two formats - the affordable Student editions give students access to complete worked solutions where they need them most - at home. The Network editions can be installed and run over a school or college network.
Rewritten and updated excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas. Covers all of geometry, minus differential geometry. Very complete collection of definitions, formulas, tables... Problems With a Point is a site developed for mathematics students and teachers in grades 6-12. The site contains practice problems on various topics that designed to help students understand mathematical concepts and... Just about everyone has wondered: "How does this button work?" They may not have been thinking of the world of dynamic geometry, but Chris Sangwin of the University of Birmingham has been thinking about just this... Would Lewis Carroll have approved of using "Alice in Wonderland" to teach algebra? We may never know, but that exact possibility turns up in episode two of the valuable "Teaching Math" series created by staffers at WGBH...
more details Getting ready to take your first algebra class? Don't panic. Making the leap from the concrete world of numbers and real objects to the abstract world of letters and symbols doesn't have to be as scary as it sounds. Dr. Math®–the popular online math resource for students, parents, and teachers–is here to help! Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at The Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Mathò Gets You Ready for Algebra, you'll learn just what it takes to succeed in this subject. You'll find the answers to dozens of real questions from students who needed help understanding the basic math concepts in a typical pre-algebra class. You'll learn all about basic algebraic operations and their connections to the real world. Pretty soon, everything from integers to single-variable equations will make sense. Plus, you'll get plenty of tips for working with tricky problems. You won't find a better introduction to the world and language of algebra anywhere!
I have learned SO MUCH from Module 1! Module 1 is basically the first part of the textbook. It doesn't take up all of the trimester, only about half. This is what I have learned: Graphs: This is the first thing that I learned in Module 1. Bar graphs and line graphs. We have worked with both of them, making them, seeing examples, even looking for them in articles. Tables: A huge part of Module 1 was learning to make frequency tables. We mostly made these throughout the whole module. You get data from a probability experiment and put them on these. Number tricks: I didn't enjoy this part very much. During this section of the module, we learned ways to start with one number and always end with the same result using blocks or algebra. Number sequences: This is basically solving patterns. For instance, 2, 4, 6, and so on, we would find out the next number, or term, 8. We would also need to find the rule, in this case, term number plus itself equals the term. Exponents: In module 1, we learned a little bit about exponents. Not too big ones, but things like two to the fourth power, or sixteen. We learned how to write it in standard form, or a normal number, as well as the exponential form. Probability: Goodness, this was a big part of Module 1! This was basically learning the probability of certain events and putting it into fractions and frequency tables, like picking a certain color marble out of a bunch. We even created our own instance in a project and recorded the data. We also learned how to find the theoretical probability as well as the experimental probability. Order of Operations: My favorite part. I just love solving the mathematical signs as well as the parentheses. It's so fun!
This online course includes elements from an undergraduate seminar on mathematical problem solving. The material will help students develop their mathematical and problem solving skills. A few topics that are covered... This algebra lesson helps students explore polynomials by solving puzzles. The activity explains the relationship between expanding and factoring polynomials, as well as factoring trinomials, and multiplying monomials... This lesson from Illuminations asks students to look at different classes of polynomial functions by exploring the graphs of the functions. Students should already have a grasp of linear functions, quadratic functions,... Murray Bourne developed the Interactive Mathematics site while working as a mathematics lecturer at Ngee Ann Polytechnic in Singapore. The site contains numerous mathematics tutorials and resources for students and... The University of Akron has created these excellent algebra tutorials that review some of the main topics in the discipline. There are ten lessons, which focus on topics like radicals and exponents, basic algebra,...
Geometry Geometry introduces students to mathematics as a deductive science. It shows how a few simple assumptions about points, lines, etc., can lead to a substantial body of geometric theorems and the ability to solve problems involving the properties of various two- and three-dimensional geometric figures. For each chapter in the textbook, students start with a preview of the concepts covered and a self-evaluation of the prerequisite skills needed. The students engage study material both in their textbook and online, including games, other activities and animations. Checkpoints are provided each step of the way for students to practice their skills and problem solving with additional practice assigned in the event the student encounters difficulties. In completing this subject students construct various types of proofs, including two-column proofs; apply postulate and theorems and explain their reasoning in solving geometric problems; and solve various types of problems using geometric and algebraic concepts and principles. Completion of Algebra 1 is a prerequisite for taking Geometry, and access to a hand-held or computer-based scientific or graphing calculator is required. There are 12 examinations in Geometry. Larson, Geometry, Holt McDougal. What others are saying: The American School exceeded my expectations. I didn't think the comments the instructor wrote would help, but they did. They made me want to do better. The textbooks and methods were just what I needed. Every textbook should be written as the American School's are. — Rebecca, Illinois
MATH 101 Introduction to Mathematical Sciences (3) Catalog Description: The course is designed to introduce students to systematic, mathematical thinking as it applies to classical problems in the history of mathematics and as it connects to modern society. Meets the General Education Mathematical Sciences requirement. (Offered each semester.) The typical course audience is students majoring in behavioral sciences, social sciences, languages, fine arts, and elementary education. Course Objectives: To acquire an appreciation for the patterns of mathematics and their inherent beauty. To develop an understanding and appreciation for the distinctive methods and modes of reasoning of the mathematical sciences. To improve problem solving skills of many types. To develop competency in the process of making appropriate conjectures, finding suitable means to test those conjectures and drawing conclusions about their validity. To recognize the human origins of mathematics through the integration of historical material related to various other course topics. To develop skill in communication of mathematical ideas through class discussion and short expository written exercises. To recognize the interplay of the algebraic/verbal and geometric/visual aspects of mathematics and to learn to exploit them in concert for deeper understanding of concepts and problems. General Education Objectives for the Mathematical Sciences Courses: To introduce students to the methods and philosophy of the mathematical sciences. To introduce students to at least one of the three mathematical sciences of computing, mathematics and statistics from a liberal arts perspective. To help students develop logical, analytical, and abstract thinking through quantitative problem solving activities. To integrate student use of the computer as a tool in the pursuit of the above objectives. Topics: This course is designed to introduce students to systematic, mathematical thinking as it applies to classical problems in the history of mathematics and as it connects to modern society. We will study topics in some or all of the following areas:
The Faculty of Mathematics The Mathematics Faculty provides further information about the mathematics courses, including a description of the first-year options. It also provides information specifically about applications to read mathematics. The Guide to Admissions outlines the procedures and requirements of individual Colleges, and contains information about the examination called STEP (Sixth Term Examination Papers). Most admissions offers for mathematics are conditional on both A-level and STEP results. There is a page listing STEP resources. Stop Press: NRICH have launched a new collection of free online resources to help potential university applicants prepare for sitting STEP Mathematics examinations: see These STEP Preparation resources have been designed as a series of linked modules for individual additional study. The programme is aimed at mathematics students who have completed the first year of A-level or equivalent study: students can start working on them from the summer after the end of Year 12, but equally it is possible to start later and catch up. Each fortnight, a new module will appear on the STEP Preparation page. Each module will consist of problems, articles, worked examples, advice for STEP candidates and much more. By working through these modules, students should be able to learn and practise the problem-solving skills and new mathematical techniques needed for STEP, and have a good idea of what to expect by the time they sit the exam at the end of Year 13. As the modules appear, previous modules will be archived to allow students to revisit earlier content, or to pick up the programme part of the way through. By the summer of 2014 the complete set of modules will form a permanent STEP preparation collection. There is also information especially for Scottish candidates and a reading list containing a selection of books which should appeal to any students interested in mathematics, not just to those planning to come to Cambridge. In addition there is also a workbook, which is a booklet of fairly straightforward questions intended for students to work through shortly before they arrive in Cambridge to check that there are no gaps in their mathematical knowledge. The Colleges Specific information concerning mathematics at an individual College is best obtained by contacting the College directly (there is a central list of college contact details). Most Colleges provide specific information about mathematics:
WMI is an open web-based eLearning system in mathematics for grammar school and/or university students, including basic mathematical functions (equation solving, function plotting, symbolic differentation and antiderivation) and thematic modules
Elementary Technical Mathematics Book Description: ELEMENTARY TECHNICAL MATHEMATICS helps you develop the math skills so essential to your success on the job! Ewen and Nelson show you how technical mathematics is used in such careers as industrial and construction trades, electronics, agriculture, allied health, CAD/drafting, HVAC, welding, auto diesel mechanic, aviation, and others. The authors include plenty of examples and visuals to assist you with problem solving, as well as an introduction to basic algebra and easy-to-follow instructions for using a scientific calculator. Each chapter opens with useful information about a specific technical
Algebra and Trigonometry - 3rd edition Summary: This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, the book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into math...show moreematical ideas. The authors' attention to detail and clarity, the same as found in James Stewart's market-leading Calculus text, is what makes this text the market leader142.44 +$3.99 s/h Good PaperbackshopUS Secaucus, NJ Used - Very Good Book. Shipped from US within 4 to 14 business days. Established seller since 2000 $144.64149176.95177.09 +$3.99 s/h Good southbrooklyntexts Brooklyn, NY 0840068131181.45 +$3.99 s/h Good Assumption Bookstore Worcester, MA 2011 Hardcover Good May contain some highlighting or underlining. $195
Tutoring now available Welcome! Welcome to Stanford's precalculus learning tool! Mathematical skills and a good facility with quantitative reasoning and critical thinking are the cornerstones of a college education and crucial for almost every Stanford major, no matter whether you plan to major in the natural sciences, engineering, or even medicine or the humanities. Mastering basic mathematical skills early gives you the freedom and prerequisites to study whatever subject you wish. It has been our experience that students often find the first few weeks of math class familiar enough that they concentrate their energies elsewhere, only to find that their math classes pick up steam and move into less familiar territory quickly. If you are at all shaky with high school algebra, you might find yourself working hard just to stay even. We would like to do all we can to help you succeed in this transition. Stanford has always provided many ways to keep up, including numerous free individual and group tutoring sessions, in the math department, in tutoring centers, and in the residences. Our new program is an online review of precalculus, using the McGraw-Hill ALEKS software program, which the publisher is offering in a special partnership with Stanford. Using this material to consolidate what you already know and to brush up on some things you could know better is an excellent way to make sure you are at the right level to get your freshman year off to a good start. For complete instructions on how to access and use the Stanford curriculum on the ALEKS software, please visit our page Using ALEKS and follow the step-by-step instructions. For a list of topics covered by the Stanford ALEKS curriculum and how they relate to the calculus classes offered at Stanford, please visit our page List of Modules. Using the Stanford ALEKS curriculum involves a fee (to the publisher, not to Stanford), comparable to or less than that of many textbooks. We have secured some limited scholarships from McGraw-Hill for those of you who find this fee a burden. (For more information on these scholarships, please contact Professor Rafe Mazzeo.) You can begin working through this material immediately starting in mid-August, or else wait until the beginning of the quarter. We recognize that it can be difficult to stay motivated, so we will be offering online tutoring from mid-August until the middle of the Fall quarter, as well as drop-in tutoring hours during the first half of the Fall quarter. More information on how to access these resources can be found on our Tutoring page.
This supplemental DVD is designed to be used along with the corresponding ACE Math PACE 1102 for Grade 9 (sold-separately). Twelve lessons are included and cover number lines, the Cartesian coordinate system, linear equations of two variables, the substitution method, and more. Lessons range in time from approximately three minutes through eleven minutes in length. Customer Reviews for Algebra I Vol. 6, DVD This product has not yet been reviewed. Click here to continue to the product details page.
Contest Closed Math Flyer (universal) by Shodor is more than just another graphing tool. It is an essential app to have for teachers and students alike. Paul gets lot from her on how to deal with meg. kamagra uk best price I thought they were catheter sports. If polynomials, variables, sine, cosine, tangents and rates of change mean nothing, when they should, this is the app to buy. For highschool or college students or teachers, this is a ideal way to demonstrate abstract concepts and interact with them in a dynamic way. Functions, for algebra, geometry, trigonometry and calculus can be difficult for many students to grasp. Graphs help by providing pictorial representations and Math Flyer graphs can make the concepts clearer still. Typically, graphs are presented on a static page. With this app, students are able to interact with graphs and the functions they represent in an intuitive manner. The interface is simple to use. Sliders allow students to change the variables on the graph without making the process complicated. Math Flyer supports 28 different functions and users can input additional functions manually. Comprehensive help is available in the app – for teachers there are even suggested lesson plans. Users can easily modify the graphs by adding or removing variables. The sliders that on either side of the screen control the variables. Functions can be viewed with fractions or decimals using the app's iterated conversion tools. Math Flyer supports pinch-to-zoom, which is great for students to focus on one specific area and the changes therein. Favorite functions can be saved for easy access. The full list of supported functions can be found in the app description. There are a ton of advanced features in Math Flyer. For teachers, the app is a great way to introduce a topic, or show students functions in a visually dynamic way. The app even allows users to save their results to the camera roll, which can then be sent to teachers for evaluation. Math Flyeris a great tool for high school and college students and teachers alike. With an easy-to-use interface, endless functions, and gesture support, it's a great tool for making math not only easier to understand, but also fun.
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
How to Fix Our Math Education - NYTimes Imagine replacing the sequence of algebra, geometry and calculus with a sequence of finance, data and basic engineering. In the finance course, students would learn the exponential function, use formulas in spreadsheets and study the budgets of people, companies and governments. In the data course, students would gather their own data sets and learn how, in fields as diverse as sports and medicine, larger samples give better estimates of averages. In the basic engineering course, students would learn the workings of engines, sound waves, TV signals and computers. Science and math were originally discovered together, and they are best learned together now. I think this is a great idea, especially for connecting non-math inclined students to real world applications. It certainly could help drive the points home and not leave the students wondering how any of the current math classes will have relevance in their lives. Sadly, this probably wouldn't happen any time soon. Fundamental changes to core education would probably take decades. Anyway, what do you guys think about getting away from the current algebra->geometry->pre-cal->calc->trig path that is currently used? I think it's a great idea. nod vigorously I am a super recent high school grad, other than studying for the College Math CLEP, the last math I took was in 08. I already remember nothing and haven't used it at all since. Utterly pointlessUmm, I think that was the point. You don't need geometry, etc. to understand personal finance. People learn how to find the sin and tangent of an isosceles triangle but can't figure out why paying the interest on credit card debt isn't making it go away!This bolded part is exactly why I think a change would be good. Give the kids some real-world lessons with math. Let them learn examples that will directly influence and enlighten them as 18 yr olds looking at the option of taking on thousands of dollars of debt for school, housing, car, etc. along with everyday life choices such as "Do I really need to spend this extra $10 right now on eating out?". Maybe that would be better in a special money-management class though. Anyway, I think using real world applications to teach math can only help, but I like hearing both sides +++ school schoolSpot on irnbru, very well said. I feel like being lazy right now so this'll be short. Almost every other sentence in that article made me think of a counterpoint instantly. Irnbru summed up almost everything that occurred to me. The "real value" of maths is their abstraction. You learn how this stuff "really works" so no matter what situation you run into, if it applies, you can use it. Also, the authors mention more than once our falling behind other countries in maths but actually never say how those countries' kids are taught their maths. Unless all these countries that are kicking our butt pulled ahead of us by making the changes the authors are suggesting I'd say their point is dealt a lethal blow. Honestly, I think we as a people need to decide whether we want to "educate people", "prepare them for life" or "get them jobs". I think these three things have both a lot of overlap and a lot differences between them. They definitely are not synonymous. An early apprenticeship in many fields better prepares you for success in that field than unfocused, general liberal arts-style schooling usually does. So people more concerned about employment problems for kids than their "abstract education" should push for that. I sort of disagree with the math gurus here. Tying a real application to a mathematical concept is so important. Here is an example. In HS physics we were given two equations that modeled the velocity and acceleration of a dime dropped from 50 ft high, for example. Then we were asked questions like, how fast is it going at time T? How long until it hits the ground? I noticed back then that these two equations looked similar. There was something about them. Once I did 50 problems I had it down pat but I was still spoon fed both equations. Fast forward to the next year when I took calculus. We were learning how to calculate the derivative of a function. I was concentrated on the abstract and how to perform the calculation. I watched a function derive from specific to less specific and it somehow looked familiar. Then I realized what the heck I was doing. I suddenly got chills on my arms when I realized that I was now capable of computing the acceleration equation that always accompanied the velocity equation back in HS physics. So I raised my hand and asked my teacher. Hey, isnt this derivative useful in determining acceleration equations from a velocity equation? Isn't the constant C at the end of the equation lost since it has no bearing on the acceleration, just like what happens when you take the derivative of something? She said yes. At that point I realized that you could do something useful with calculus. I was shocked. Another story involves video game programming. I got an A in calc 3 because all of the practical applications of spatial math, vectors, dot products, intersection of a ray with a plane in 3-space were screaming at me. I realized that by learning this math I could write a kick ass 3d game. Tying a real application to a mathematical concept is so important. ... No disagreement here; especially when the example you gave was pretty much the same as the one previously given edit: This is application -> maths, rather than maths -> application. Some concepts in maths, even those delivered at a relatively early age, really don't have any application. Previous edit timed out, trying to add some content in an attempt to communicate the position. Some half-baked analogies which describe the over-emphasis of application over actual maths: Learning to play songs on a piano or guitar without studying and practicing scales. Learning a language without studying grammar. Learning to play chess or go without studying opening/endgame/shape. Learning 'about' psychology without studying statistics. Learning to play a sport competitively without the rules. Learning CIS without picking up a programming language. Okie, the fourth example is specifically mathsy, but I hope overall that the gist is there. In each example, people could do fairly well and some exceptionally talented individuals could still do very well. Ultimately, people who go into the technical/abstract will have a much better understanding of their specific field and also have learned general (higher-level/abstract) information which could also be applied to other fields. That's pretty much what maths is. Interesting question that came up once was, "What is Maxwell's theory of electromagnetic radiation?" The only meaningful answer is, "Maxwell's theory of electromagnetic radiation is Maxwell's field equations." Someone stated in another thread that they drill their kids with their times tables and basic arithmetic. I fully applaud and support this approach - you've got to have the basics down. To be honest, if anything I think that there is a slight over-emphasis in 'applied'-type problems in maths classes; put x into y to get z, write down z and get a point. I'd rather see a return to the more classical style of maths where actual proofs were studied and taught in Euclidean geometry from a relatively younger age. A lot of people don't like maths. I'm pretty much one of them. It's still our own responsibility to actually do the work, however.
a booklet containing 87 problem sets that involve a variety of math skills, including scale, geometry, graph analysis, fractions, unit conversions, scientific notation, simple algebra, and calculus. Each set of problems is contained on one...(View More) page. Learners will use mathematics to explore varied space science topics in the areas of Earth science, planetary science, and astrophysics, among many others. This booklet can be found on the Space Math@NASA website.(View Less)
SHARE A mathematical way to think about biology A mathematical way to think about biology comes to life in this lavishly illustrated video book. After completing these videos, students will be better prepared to collaborate in physical sciences-biology research. These lessons demonstrate a physical sciences perspective: training intuition by deriving equations from graphical illustrations. "Excellent site for both basic and advanced lessons on applying mathematics to biology." -Tweeted by the U.S. National Cancer Institute's Office of Physical Sciences Oncology This is not a quick fix: It can take a couple months to work through this material at a comprehensible pace. We briefly review algebra and calculus, describe basic probabilistic modeling, explain how to solve dynamical systems, and then present an area of application in physical oncology. Even after viewing these sections, students will still need to invest significant effort in order to participate in multidisciplinary research. These videos provide starting points for conversation between biological and physical disciplines. Students may wish to return to these tutorials periodically for review as research proceeds. (PowerPoint files and backup links to videos, in case the udemy versions experience technical difficulties, available at main website lookatphysics.com) Gauss summation trick, which is used when counting the number of pairwise interactions in a population of components 04:05 8 Sums b: First glimpse of infinite series When adding more and more numbers to a running total, the running total becomes arbitrarily close to a finite number. Another possibility is that the running total becomes arbitrarily large. As the examples in this video show, both of these outcomes are possible even if we are assured that individual terms in a sum are becoming successively smaller. When we counted the number of ways to arrange objects in a row in the last video, we assumed that all the objects were distinct from each other. In this video, we relax this assumption and obtain the famous (L + N)! / (L! N!) formula for counting the number of ways to arrange L indistinguishable objects and N indistinguishable objects together in a row. This is also the formula for counting the number of combinations of L objects drawn from a container of L + N objects. 06:59 11 Combinatorics c: Binomial theorem The formula for counting combinations from the previous video helps us to write an expression for the binomial quantity (x + y)^p. The resulting sum can contain many terms. However, in some applications, only a small number of terms is necessary for approximate calculations. 05:05 SECTION 2: Calculus (Arie antiche) 12 Limits ε-δ definition of limit, notion of "arbitrarily close" Example of calculating a limit Limits do not always exist 14:12 13 Differentiation a: Derivative and differentials The goal of this and the next 4 videos is to formalize an idea of "slope" and then to build a cribsheet of rules for studying the slopes of some example functions. In this video, we define the derivative, caution against interpreting differentials as numbers, and remark that derivatives do not always exist. It is important to become familiar with derivatives because they provide a basic vocabulary for talking about dynamical systems in the natural sciences (including in biology). 08:47 14 Differentiation b: Power rule Power law functions can serve as ingredients for more complicated structures because, as we will later learn, many more complicated functions can be approximated as sums of power laws. For this reason, it is important to learn the power rule for calculating the slopes of such expressions. The power rule is written d(x^n)/dx = nx^(n-1). 07:23 15 Differentiation c: Chain rule (composite functions) One way to combine basic functions in more sophisticated structures is to nest functions sequentially within each other. This is called "composition of functions." The chain rule is used to study the slopes of composite functions. The rule is written d(g(f(x))/dx = dg(f(x))/df(x) df(x)/dx or d(g(f))/dx = dg/df df/dx and memorized using the mnemonic, "derivative of a function with an outside and an inside is derivative of the outside times derivative of the inside." 03:54 16 Differentiation d: Products and quotients Another way to put basic functions together to make more sophisticated structures is to write their expressions next to each other as a product. In this video, we derive the product rule, which is used in such situations. The product rule is written d(fg)/dx = (df/dx)g + f(dg/dx) and memorized by reciting "derivative of the first, times the second, plus first times derivative of the second." 04:25 17 Differentiation e: Sinusoidal functions The derivative of sine is cosine, and the derivative of cosine is negative sine. This back-and-forth relationship (with a negative sign in one of the equations) is a hallmark of dynamical systems that might support oscillations. Thus, this pattern, which you will derive in this video, is important to keep in mind when you later study biological oscillations. 08:27 18 Partial differentiation When a function depends on multiple independent variables, the "partial" symbol is reserved to denote slopes calculated by jiggling one independent variable at a time This set of four videos introduces power series representations. Using a power series representation is like using decimal representation. Both techniques organize the description of the target object at levels of increasing refinement. In this first video, we show that the second derivative corresponds to the curvature of a plot. In this way, we strengthen intuition that higher-order derivatives can also have geometric interpretations. 06:54 20 Power series representations b: Determining power series terms We imitate a function by combining the descriptions of its geometric properties as embodied in its value and the values of its higher derivatives at an expansion point. 13:51 21 Power series representations c: Power series for sine We obtain a power series representation for the sine function expanded about the point θ = 0. 05:06 22 Power series representations d: Decimal approximation for π Using the first three terms of the power series representation for sine we obtained in the previous video, we iteratively approximate π to four decimal places. 04:50 23 Integration a: Area under a curve In these four videos, we develop a familiar with integration that will later be useful for deducing functions of time (e.g. number of copies of a molecule as a function of time) using rates of change (e.g. the first derivative of the number of copies of a molecule with respect to time). In this first video, we develop the concept of the definite integral in terms of the area under a curve. 10:02 24 Integration b: First fundamental theorem of calculus We demonstrate that differentiation undoes integration. This is called the first fundamental theorem of calculus. 03:52 25 Integration c: Second fundamental theorem of calculus We demonstrate that integration undoes differentiation. This is called the second fundamental theorem of calculus. This theorem allows us to construct a table of integrals using differentiation rules we previously learned. 09:19 26 Integration d: Change of variables Sometimes, superficial differences can make it seem that a listing in an integration table does not match the integral we want to study. We develop a change of variables (also called a "u-substitution") rule that can sometimes help us to identify a match between an integral we want to study and a listing in a table. 06:28 27 Separation of variables Two wrongs make a right Tear two differentials apart as though they retained meaning in isolation Slap on the smooth S integral sign as though it were a unit of meaning itself, even without a differential You get the same integral expression you would obtain long-hand using u-substitution or "change of variables" in integrals This is a canonical worked problem from introductory systems biology (Alon, Ch. 2.4, pp. 18-21). We will explain one way to fantasize about the classic protein dynamics equation dx/dt = beta - alpha x and analytically demonstrate that protein "rise time" depends on degradation rate only. 18:12 37 Mass action 1a: Law of mass action Using a collision picture to understand why reaction rates look like polynomials of reactant concentrations 12:50 38 Mass action 1b: Cooperativity and Hill functions Cooperativity of a simple (oversimplified) kind 12:27 39 Mass action 1c: Bistability How Hill functions, considered in combination with linear degradation, can support bistability 06:52 40 Evolutionary game theory Ia: Population dynamics Collisional population dynamics and tabular game theory An outcome of the prisoner's dilemma is simultaneous survival of the relatively most fit with decrease in overall fitness 15:35 41 Evolutionary game theory 1b: Preview comparison with tabular game theory Brief introduction to tabular game theory An outcome of the prisoner's dilemma is simultaneous stability of D with, as a consequence, lower than maximum possible payoff for D We give a taste of the idea that tabular game theory and the population dynamics from the preceding video are connected deeply. We state that (1) that payoffs from tabular game theory can be associated with rate coefficients from the population dynamics in part 1a, and (2) that part 1a should be referred to as evolutionary game theory. The purpose is to inspire the audience to read in textbooks how this conceptual connection can be established. 12:32 42 Evolutionary game theory IIa: Cells repeatedly playing games In the previous slide deck, we noted similarities between population dynamics and business transaction payoff pictures. In this and the next video, we provide deeper understanding of these connections. In this video, we derive the population dynamics equations in such a way that it is natural to say that cells being modeled repeatedly play games and are subject to game outcomes. 19:20 43 Evolutionary game theory IIb: Relationship between time and sophisticated comput Repeated simple interactions in a population of robotic replicators can achieve results seemingly related to results obtained from sophisticated computations. The use of population dynamics and business transaction payoff matrix analyses from the previous slide deck to obtain this understanding is an example of quantitative reasoning. 10:58 SECTION 4: Probability and statistics (Debussy) 44 Statistics 101 Distributions, averages, variances, useful identities Statistical independence Routinely-exploited expressions: Covariances vanish and variances of sums are sums of variances Uncertainty propagation 50 Uncertainty propagation a: Quadrature Quadrature formula is a result of Taylor expanding functions of multiple fluctuating variables, assuming that fluctuations are independent, and then applying the identity "variances of sums are sums of variances" Origin of the famous factor of sqrt(n), which is the ratio by which the standard deviation of the distribution of the sample means is smaller than the standard deviation of the distribution of the measurements (parent distribution) 05:27 53 Uncertainty propagation d: Comparing error bars visually Are error bars non-overlapping, barely touching, or tightly overlapping? What p-value do people associate with the situation in which error bars barely touch? 03:23 54 Uncertainty propagation e: Illusory sample size "I quantitated staining intensity for 1 million cells from 5 patients, everything I measure is statistically significant!" It is quite possible that you need to use n = 5, instead of 5 million, for the √ n factor in the standard error. 06:47 55 Uncertainty propagation f: Sample variance curve fitting Reduced chi-square χ2 fitting Normalized residuals 18:35 56 Sample variance curve fitting exercise for MatLab The purposes of this exercise are (1) to practice sample variance curve fitting in MatLab and (2) to understand that the time-sequence according to which data are acquired can affect the apparent size of error bars. This exercise is a PDF, instead of a video, so that you can refer to a print-out next to your computer as you work through the commands described. Model: RNA polymerase makes many (usually unsuccessful) independent attempts to initiate transcription. Once a mRNA strand is produced, it begins to make independent (usually many unsuccessful) attempts to be degraded. Differential equations 68 Numerical integration of differential equations Direction fields, quiver plots, and integral curves Numerical integration of systems of differential equations. CAUTION: I'm not familiar enough with numerical integration to know whether the particular example of the method for step-size adaptation in the video is used generally (or at all) in commonly available software packages. The purpose of the example was to show that it is possible to generate an error estimate (a) without knowledge of the actual solution and (b) by comparing the solutions from two numerical integration algorithms. 10:16 69 Diff Eqs IIIa: Transcription-translation model Canonical mRNA-protein system from systems biology 101 10:17 70 Diff Eqs IIIb: Eigenvector-eigenvalue analysis Determine the directions of "unbending" trajectories for a more precise hand sketch of the phase portrait 16:17 71 Diff Eqs IIIc: Cribsheet for linear stability analysis Use eigenvalue-eigenvector analysis to find analytic solutions for linear systems and describe the qualitative features of trajectories approaching, side-swiping, or departing from steady state. 11:48 72 Diff Eqs IVa: Adaptation Adaptation is not absence of change; instead it is the presence of eventually compensatory changes See also: Read Ma, Trusina, El-Samad, Lim, and Tang, "Defining network topologies that can achieve biochemical adaptation," Cell138: 760-773 (2009). 21:55 73 Diff Eqs IVb: Cribsheet of almost linear stability analysis Linear analysis of almost linear systems 03:52 74 Diff Eqs V: Visual heuristics for oscillations in 2-d Intuitive introduction to 2-d oscillations (Romeo and Juliet) Twisting nullclines Time-delays Stochastic resonance 08:55 75 Dynamic heterogeneity for the physical oncologist Stochasticity in biochemical reaction times Phenotypic interconversion Outcome (expansion vs. shrinkage of burden) can depend on frequency of drug administration This video abstract highlights two recent papers from authors at the University of California, San Francisco working within the Princeton Physical Sciences Oncology Center † The authors dedicate this paper to Dr Barton Kamen who inspired its initiation and enthusiastically supported its pursuit. The research described in these articles was supported by award U54CA143803 from the US National Cancer Institute. The content is solely the responsibility of the authors and does not necessarily represent the official views of the US National Cancer Institute or the US National Institutes of Health. (C) 2012-2013 David Liao (lookatphysics.com) CC-BY-SA (license updated 2013 March 27). When distributing this video under the Creative Commons license, please cite the full journal references above (including authors and dois) as well as the citation information for this video: Title: Dynamic heterogeneity for the physical oncologist Author of work: David Liao The full citation of the papers (at least the first paper) is necessary because the journal Phys. Biol. has released these works under a CC-BY-NC-SA license. These papers are copyrighted and not public domain. Has this happened to you or someone you know? You read through every word and memorize all the equations in the textbook. You do all the homework. Then you barely pass or fail the exam. Unless you are already well trained in the area you are studying (in which case, why are you taking the cours… REVIEWS AVERAGE RATING NUMBER OF RATINGS Por favor escribe el título de tu calificacion aquí A mathematical way to think about biology I am very interested in the course but as a biologist I had little maths during my education years. I only have school level maths & it is now very rusty. The lectures are very fast with little to no explanations, if you get struck up. May be others are more familiar with maths required here so it is easier for them. From my point of view the course could be divided into two or three parts & more examples should have been included to make it more intuitive. The language used is really hard to understand. It is very technical.
5. EMSolution Trigonometry 3.0 This bilingual problem-solving mathematics software allows you to work through 84102 trigonometric problems with guided solutions, and encourages to learn through in-depth understanding of each solution step and repetition rather than through rote... Details - Download 4. Mathtopper Class 10 - Screenshot 5. Mathtopper Class 11
Dynamical Systems: Continuous and Discrete This book gives an introduction into the ideas of dynamical systems. Its main emphasis is on the types of behavior which nonlinear systems of ...Show synopsisThis book gives an introduction into the ideas of dynamical systems. Its main emphasis is on the types of behavior which nonlinear systems of differential equations can exhibit. It is divided into two parts which can be read in either order: the first part treats the aspects coming from systems of nonlinear ordinary differential equations, and the second part is comprised of those aspects dealing with iteration of a function. For professionals with a strong mathematics background
This is a text for an one-semester course for graduate students interested in applying methods from numerical linear algebra to scientific computational problems from natural and engineering sciences. The emphasis is on understanding the algorithms involved, the authors are eager to explain why things happen in a certain way, and often use well-chosen small numerical examples. The text is organised into 40 lectures in a pedagogically interesting order, each giving a new aspect, but still selfcontained enough to be readable separately. Topics covered include (in this order): Vectors and matrices: orthogonality, norms, singular value decomposition (SVD) QR factorization, Gram Schmidt, Householder, least squares. Conditioning, floating point arithmetic, stability. Systems of equations: Gauss elimination, pivoting, stability, Cholesky. Eigenvalues: reduction to Hessenberg form, QR algorithm, algorithm for SVD. Iterative algorithms: Arnoldi, GMRES, Lanczos, conjugate gradients.
Thus, I can not only explain linear algebra to students, but also provide examples of how it is used in real-life applications. I am a PhD Computational Scientist, and in the course of my research I have written hundreds of Perl programs to solve computational problems. I have an excellent knowledge of the language, and I have experience training graduate students to program in Perl.
Calculus Quick Links Webinars Unit Downloads Derivatives The derivative is one of the "big ideas" in calculus – capturing the notion of instantaneous rate of change and generalizing the idea of slope to more general curves. The lessons in this unit are intended to provide a strong foundation for student understanding of the derivative, especially in terms of graph. The use of the derivative as a tool for understanding behavior of functions and the implications of differentiability are also emphasized.
has students collect data for rolling objects of differing sizes in order to further understand periodic phenomena. They will then create two sinusoidal graphs of the data.... This lesson uses the example of successive discounts at a retail store to demonstrate numeric, algebraic, and graphical representations of compositions of mathematical functions. Students will get the opportunity to... This lesson plan involves comparing different methods to determine the shortest route when traveling from Cleveland to Boston. Students will be given the opportunity to interpret data presented in table and graph format...
Description of Saxon Algebra 1/2: Complete Kit by Saxon Based on Saxon's proven methods of incremental development and continual review strategies, the Algebra 1/2 Kit combines pre-algebra mathematics with a full pre-algebra course and an introduction to geometry and discrete mathematics. Kit includes Student Textbook with glossary, index, and answers to odd-numbered problems; Homeschool Packet with tests and test answers; and Solutions Manual with solutions to all textbook practices and problem sets. This helped my first two children to be ready for calculus in college--they were able to test out of college algebra. My youngest child needed to go at a slower rate and had to take college Math in college. So it is great for those who have a bent for math and science. I have used Saxon with all three of my children. I like it because each lesson is clearly defined with instructions and sample problems to reinforce each lesson. There are tests available after every five lessons with clear guidelines on when to administer them. I also like that the child can read through the lesson independently and proceed with it if they have a good understanding. Thus it did not require teacher participation for every lesson.
... More specific pre-algebra problems on the fly. This app covers the following pre-algebra topics: - Find the divisors and prime factorization of a number - Calculate the GCD and LCM of two numbers - Determine the percent change - Reduce and round numbers - Evaluate expressions - Solve equations and simplify expressions - Convert units of length, area, volume, and weight - Compute the mean, median, and mode of a dataset - Plot equations on the coordinate plane - Graph inequalities on a number line - Calculate the area, surface area, or volume of a geometric figure - Find the midpoint, slope, and distance between two points The Wolfram Pre-Algebra Course Assistant is powered by the Wolfram\|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.'
Book DescriptionEditorial Reviews From the Inside Flap (back cover) A solid review of math basics emphasizes topics that appear most frequently on the GED: number operations and number sense; measurement; geometry; algebra, functions and patterns; data analysis; statistics and probability Hundreds of exercises with answers A diagnostic test and four practice tests with answers Questions reflect math questions on the actual GED in format and degree of difficulty --This text refers to an alternate Paperback edition. This workbook was extremely helpful to me in studying for a placement test to back to college. I have been out of high school for over 25 years. This book was easy to understand and easy to learn from. I would recommend it to any adult who has to take placement tests when returning to college. This math workbook works well for someone with a decent math education history who needs a good refresher tool before taking the GED. The fractions and geometry sections are especially useful. I would NOT recommend the workbook for beginners. As a homeschooled teen, I took my Ged! I was uneasy about the math section. After using this book I was ready though! This book is also helpful for the SAT...most people know how to do algebra, they have just forgotten the fractions and percents! This is a great refresher as well as helping you brush up on algebra and basic trig! This is the first time that I have been using this workbook and I find that it fills a gread need for Math preparation of GED students.I contains very little text and many exercises and word problems.An ideal book for Math. tutors like myself.I highly recommend this work book.
Williams offers a refreshing and innovative approach to college algebra, motivating the topics with a variety of applications and thoroughly integrating the graphing calculator. Written in a clear and friendly voice that speaks to students with weak algebra skills, this text teaches students to look at math from both algebraic and geometric viewpoints. Williams focuses on the underlying concepts, introducing and using the graphing calculator as an integral means, not an end. New applications examples and exercises from a variety of fields motivate the key ideas and show students why math is useful and powerful. Packaged free with every new copy of the text, an ELECTRONIC COMPANION TO COLLEGE ALGEBRA CD-ROM is a dynamic and interactive college algebra tutorial. It covers key concepts through multiple representations: graphic, numerical, algebraic, and verbal. "Review Topics" boxes present the main ideas of the course and "Test Yourself" problems test student understanding. A workbook of additional examples and exercises is built into the CD-ROM.
This Mathcad document is a highly annotated introduction to the method of Steepest Descents for finding a minimum in a function. The treatment here is more detailed than that found in most texts or review papers. This makes this document an excellent introduction for junior and senior level chemistry majors. It is also suitable for graduate students and others who are beginning their studies in computational chemistry or who wish to learn the details of one of the basic tools found in popular molecular modeling and computational chemistry software. Three key references are included and the interested reader can find other referenced therein. There is also a suggested exercise for students to use to show mastery of the skills learned by interacting with the exercises and Mathcad experiments presented in this document.
Reviews of Guides for the COMPASS COMPASS Math Guides by Professionals A part of the COMPASS testing, the Math section is a standardized and diagnostic tool that helps educational institutions evaluate the college-readiness of applicants for college Math programs. While preparing for a college-Math course, it is vital that you learn more about this section in COMPASS, and accordingly prepare yourself. If you are planning to grab a few prep books, here is a list of three reviews for COMPASS test resources on which you can rely for the math test: An Introduction to COMPASS Math Test Before moving on to the list of review ofmath prepbooks, we need to understand this test. The Math section is a part of the COMPASS package, and it can be included in the test administration if required by the institution. For example, for a student taking Writing programs only, and no Math courses, the Math section may not be included in the test administration. The COMPASS test is conducted in both diagnostic and placement modes. While the placement test focuses on measuring the expertise and skill levels of applicants as required for college-Math courses, the diagnostic test provides a more diagnostic and analytical view of the students' abilities, strengths, and any shortcomings relevant to the Math programs at college-level. Thus, the Math test helps in both making placement decisions and planning for developmental programs for students for their weak areas. The following are the different core topics included in the Math COMPASS tests: Numerical skills/Pre-algebra Algebra College Algebra Geometry Trigonometry All Math COMPASS tests include multiple-option questions, where test takers are required to select the correct answers by making use of the following core skills and abilities: Basic operations Application of basic operations Conceptual understanding of theorems, principles, and relationships Analytical power COMPASS Math Preparation While preparing for this section, therefore, you need to understand the test pattern, content, and question types first, and then focus on relevant areas. For this, you may choose from a variety of preparation resources available including prep programs and review ofstudy materials. However, before choosing any material or program, ensure that it meets your specific needs for preparation.Though a comprehensive COMPASS test material would be of great help, you may also need specific resource for Algebra or College Algebra, if you need to focus on those areas. Thus, choosing a test preparation material can be a tricky thing, if you are not sure what you want. You may use the following review ofthese materials for choosing the best guide for yourself: COMPASS Math Resource Reviews Given below is a review list covering three professional COMPASS Math prep resources: COMPASS Exam - Bob Miller's Math Prep -This is an important and very popular resource for COMPASS Math placement test preparation today. This Math guide is authored by one of the experienced Math faculties and professionals, Mr. Bob Biller. With detailed review information and chapters covering all the relevant Math areas and topic, this guide also includes special tips and strategies from Mr. Miller. Practice tests and questions, examples, and drills are the other significant features of this guide, which is considered a comprehensive resource for COMPASS Math preparation. You may find more details about this prep resource at: The resources from MyCOMPASSTest.com are popular materials for test preparation ( The Math study guides from MyCOMPASStest include review lessons on core Algebra and pre-Algebra areas including integers, decimals, polynomials, and so on. Moreover, these resources are available free of cost online. COMPASS Math Test Success: 150 Compass Math Problems & Solutions is a resource used by many for COMPASS Math preparation. This is a guide that focuses on the practice aspect of preparation. Solutions are provided with illustrations, formulae, and steps so that it is easy to understand even the toughest problems. All the different areas of testing like Algebra, College Algebra, Pre-Algebra, Geometry, and Trigonometry are covered. This comprehensive Math study guide is from Academic Success Media, a reputed publisher with many COMPASS prep titles to their credit. You may find more details online at: Note that this is only an indicative review for COMPASS test prep materials list. There could be many more resources that you can choose for your test preparation. You may find them online, or at local bookstalls, or libraries. However, before choosing a prep material, ensure that it fits your requirements and help you score high in this test by going through the websites and resources that provide a review of COMPASS test prep materials
Short-Cut Math (Dover Books on Mathematics) Book Description: Clear, concise compendium of about 150 time-saving math short-cuts features faster, easier ways to add, subtract, multiply, and divide. Each problem includes an explanation of the method, a step-by-step solution, the short-cut solution, and proof, as well as an explanation of why it works. No special math ability needed
Differential Equations If you want top grades and thorough understanding of differential equations, this powerful study tool is the best tutor you can have! It takes you ...Show synopsisIf you want top grades and thorough understanding of differential equations, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 563 accompanying problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) Famous for their clarity, wealth of illustrations and examples, and lack of dreary minutiae, Schaum's Outlines have sold more than 30 million copies worldwide--and this guide will show you why! Schaum's Outline of Differential Equations, 3ed (Schaum's...Good. Schaum's Outline of Differential Equations, 3ed (Schaum's Outline Series) This book is in Good condition. Buy with confidence. We ship from multiple location Schaum's Outline of Differential Equations First, it must be said that the Schaum Outline series provides an inexpensive way for students to get more practice and be able to have check their answers. In general, I recommend these texts. That said, I used this as a supplement to a DE class I taught and it was such a pain. The notation
Actuaries' Survival Guide : How to Succeed in One of the Most Desirable Professions Overview What would you like to do with your life? What career would allow you to fulfill your dreams of success? If you like mathematics-and the prospect of a highly mobile, international profession-consider becoming an actuary. Szabo's Actuaries' Survival Guide, Second Edition explains what actuaries are, what they do, and where they do it. It describes exciting combinations of ideas, techniques, and skills involved in the day-to-day work of actuaries. This second edition has been updated to reflect the rise of social networking and the internet, the progress toward a global knowledge-based economy, and the global expansion of the actuarial field that has occurred since the first edition.
How To Teach with DWFK Precalculus Chapter 7: Systems and Matrices Matrices do not appear in most first-year calculus courses, so over the years they have gotten less than their proper share of attention in precalculus classes. Ironically, it is their importance for all the other applications of mathematics that makes them so important today. We recommend, therefore, that all classes work through at least the first three sections of this chapter. Students who go on to calculus will need matrices in the second year, and all students are likely to see matrices in some form sooner than that. Section 7.1 Solving Systems of Two Equations Objectives Students will be able to solve systems of equations graphically and algebraically. Key Ideas Demand curve Solution by substitution Equilibrium point Solution of a system Equilibrium price Supply curve Solution by elimination System of equations Teaching Tips Many students will have already seen the substitution and elimination methods for solving systems of linear equations, but a light review does not hurt. Be sure to emphasize the graphical interpretation of finding intersection points of lines. Not only does this clarify the phenomena of empty solutions and infinite solutions, but it serves as an easy bridge to the graphical solution of non-linear systems. Algebraic solutions of non-linear systems can be quite difficult in general, so our non-linear, algebraic examples are deliberately chosen to be simple. Technology Tips Calculators that will solve linear systems can obscure the algebraic theory that this section is intended to highlight, so explain to students that we are less interested (for now) in knowing they can get the answers than we are in knowing that they understand these pencil-and-paper methods. Assure them that we will all get technological in Section 7.3. Top Section 7.2 Matrix Algebra Objectives Students will be able to find sums, differences, scalar multiples, and products of matrices. They will be able to find the inverses of matrices by hand and the inverses of larger square matrices by using a calculator. Key Ideas Additive inverse Non-singular matrix Cofactor Order of a matrix Column Row Determinant Scalar Element (entry) of a matrix Singular matrix Inverse of a matrix Square matrix Matrix Transpose of a matrix Minor Zero matrix Teaching Tips Teachers might well decide to introduce this material much earlier in the course, since it is not dependent on anything in the first six chapters. Also, there are advantages to having matrices available for examples in other sections. For example, it is an interesting bit of trigonometry to prove that Be sure that students understand the application of matrix multiplication in Example 5. (There are several exercises that test this understanding.) Computer spreadsheets do matrix multiplications in the blink of an eye, but it is still up to computer users to set up the multiplications properly. The fact that matrix multiplication is not commutative is a significant algebraic discovery for students and should not be passed over lightly. The general determinant algorithm of expansion by cofactors, given on page 559, is shown in this section for the sake of completeness. It is not recommended that students find determinants by hand for matrices larger than , unless they know enough about row-reduction to make the task reasonable. (For example, students who compete in mathematics contests might be challenged to find larger determinants, but the secret is usually to reduce them first.) There is a fairly well-known trick for computing determinants, but teaching it to students might do more harm than good since it does not generalize at all to matrices of other orders. If the object is to understand determinants, teach cofactors. If the object is to find determinants, use a calculator. In this course, the object is usually to find determinants (or, more often, to find inverse matrices). Technology Tips Feel free to use the calculator quite freely in this section. Matrices were invented to take some of the tedium out of computations, and if the calculator can make things even less tedious, then they are right in step with the program. The section has quite a few technology tips in it already, but here is one more. Not many calculator users realize that they can build matrices on the home screen by using square brackets. For example, [[1,2,3][4,5,6][7,8,9]] is read as a matrix. The following screen shows how to type it on the home screen and store it as matrix [A]: Section 7.3 Multivariate Systems and Row Operations Objectives Students will be able to solve systems of linear equations using Gaussian elimination, the reduced row echelon form of a matrix, or matrix inversion. Key Ideas Augmented matrix Invertible square linear system Coefficient matrix Reduced row echelon form Equivalent linear systems Row echelon form Gaussian elimination Triangular form Teaching Tips The material in this section is not necessary for first-year calculus, but it explains the mathematics behind two time-saving calculator approaches to solving systems of linear equations. Since students will find the technique of Examples 7, 8, and 9 to be the easiest, teachers who are pressed for time might want to consider omitting the other examples. Note, however, that the solution only works on invertible square linear systems. Example 3 (no solution) and Examples 5 and 6 (infinitely many solutions) are best solved by Gaussian elimination or by interpreting the reduced row echelon form of the augmented matrix. Note that the calculator can be used to find reduced row echelon form. Technology Tips The solving of simultaneous linear equations is important for many real-world problems in elementary algebra, and most of them are modeled by invertible square linear systems. Since the modeling in this case is more important than the manipulations required to solve the systems, the day is not far off when Algebra I students will be solving such problems using (or possibly some user-friendly menu item) on their graphing calculators. The slower and riskier "pencil-and-paper" methods should therefore be studied for their historical and pedagogical value, not because they will actually be used. Top Section 7.4 Partial Fractions Objectives Students will be able to decompose certain rational expressions into partial fractions. Key Ideas Partial fractions Partial fraction decomposition Teaching Tips This little nugget of algebra is useful for finding antiderivatives of rational expressions in first-year calculus, although many calculus teachers skip those antiderivatives precisely because students do not know how to find the partial fractions. Realistically, it is not necessary for students to learn this process well. Those who have calculus teachers who like the topic will have it explained to them again, and those who have calculus teachers who skip the topic might never see it at all. The AB Calculus course description for AP Calculus does not include partial fractions. The topic is in the BC course description, but students only need to be able to decompose rational expressions with unrepeated linear factors in the denominator (as in Example 1). Technology Tips Graphing calculators with computer algebra systems (CAS) will decompose rational expressions into partial fractions. Indeed, they will find the solutions to the differential equations that partial fractions are needed to solve. These two facts suggest that it is only a matter of time before this topic disappears from calculus and precalculus courses entirely. Meanwhile, if you want your students to learn the algebraic manipulations required to find partial fractions, be sure to restrict the use of CAS calculators. Top Section 7.5 Systems of Inequalities in Two Variables Objectives Students will be able to solve linear programming problems and systems of inequalities using graphical methods. Key Ideas Constraints Objective function Half-plane System of inequalities Linear programming problem Vertex (corner) points of a feasible region Teaching Tips Linear inequalities are covered in this section so that linear programming can be included in the textbook. (Linear programming is a syllabus item on some state requirement lists.) As far as preparation for calculus is concerned, this section is an interesting detour. Notice the shading of the region in Figure 7.32. Shading only the region that satisfies all the constraints is vastly preferable to shading the constraints one at a time and searching the cross-hatched diagram for the intersection of all the shadings. Technology Tips Shown below is the way to select the shading "styles" necessary to shade the inequalities in Example 7. The result, as you can see, is too muddy to be very useful. A clever way to get a readable graph is to shade everything in the opposite direction! The feasible region that satisfies all the constraints then shows up in white, as shown below.
There is nothing quite like that feeling you get when you see that look of recognition and enjoyment on your students' faces. Not just the strong ones, but everyone is nodding in agreement during your first explanation of the geometry of directional derivatives. If you have incorporated animated demonstrations into your teaching, you know how effective... more... An introduction to the methods used to study monomial algebras and their presentation ideals, including Stanley-Reisner rings, subrings, and toric varieties. It emphasizes square-free quadratics and effective computational methods, and applies a combinatorial description of the integral closure of the corresponding monomial subring to graph theory. more... Besides being an important area of math for everyday use, algebra is a passport to studying subjects like calculus, trigonometry, number theory, and geometry, just to name a few. To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies... more... Maple is a very powerful computer algebra system used by students, educators, mathematicians, statisticians, scientists, and engineers for doing numerical and symbolic computations. Greatly expanded and updated from the author's MAPLE V Primer, The MAPLE Book offers extensive coverage of the latest version of this outstanding software package, MAPLE... more... The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working with complicated concepts and structures of modern mathematics. This volume contains a selection... more... Boost Your grades with this illustrated quick-study guide. You will use it from high school all the way to graduate school and beyond. FREE first 3 chapters in the trial version. Includes both Algebra I and II. Clear and concise explanations. Difficult concepts are explained in simple terms. Illustrated with graphs and diagrams. Search for the words... more... Examines a Tractatus algorismi written in 1307 in Montpellier by Jacopo da Firenze. It is one of the earliest surviving "abbacus" treatises and the first to contain a presentation of algebra. This book includes the text in late medieval Italian with an English translation. It discusses the contents and its place within early abbacus culture. more...
Introductory Linear Algebra An Applied First Course 9780131437401 ISBN: 0131437402 Edition: 8 Pub Date: 2004 Publisher: Prentice Hall Summary: This book presents an introduction to linear algebra and to some of its significant applications. It covers the essentials of linear algebra (including Eigenvalues and Eigenvectors) and shows how the computer is used for applications.Emphasizing the computational and geometrical aspects of the subject, this popular book covers the following topics comprehensively but not exhaustively: linear equations and matrices an...d their applications; determinants; vectors and linear transformations; real vector spaces; eigenvalues, eigenvectors, and diagonalization; linear programming; and MATLAB for linear algebra.Its useful and comprehensive appendices make this an excellent desk reference for anyone involved in mathematics and computer applications. Kolman, Bernard is the author of Introductory Linear Algebra An Applied First Course, published 2004 under ISBN 9780131437401 and 0131437402. Three hundred thirty seven Introductory Linear Algebra An Applied First Course textbooks are available for sale on ValoreBooks.com, seventy used from the cheapest price of $26.51, or buy new starting at $157.45
Produktbeschreibungen Kurzbeschreibung There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time! Now with 25% new and revised content, this easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems with confidence. You'll understand how to factor fearlessly, conquer the quadratic formula, and solve linear equations. Other titles by Sterling: Algebra II For Dummies and Algebra Workbook For Dummies Whether you're currently enrolled in a high school or college algebra course or are just looking to brush-up your skills, Algebra I For Dummies, 2nd Edition gives you friendly and comprehensible guidance on this often difficult-to-grasp subject. Buchrückseite The pain-free way to ace Algebra I Does the word polynomial make your hair stand on end? Let this friendly guide show you the easy way to tackle algebra. You'll get plain-English explanations of the basics — and the tougher stuff — in terms you can understand. Whether you want to brush up on your math skills or help your children with their homework, this book gives you power — to the nth degree. It's all about numbers — get the lowdown on numbers — rational and irrational, integers, and positive and negative Factor in the fun — discover the easy way to figure out working with prime numbers, factoring, and distributing Don't hate, equate! — get a handle on the most common equations you'll encounter in algebra, from basic linear problems to the quadratic formula and everything in between Resolve to solve — learn how to solve linear and quadratic equations, keep equations balanced, and check your work Put it to use — find out how to apply algebra to tackle measurements, formulas, story problems, and graphs I picked this up at my local bookstore so that I could re-learn the Algebra I'd forgotten from high school. At three chapters in, I am already frustrated with the writing style of the book and the lack of proper editing. (I have the newest edition as of 2011, released for the spring semester.) ~~ First off, the first chapter of the workbook does not coincide with the first chapter of the textbook. It appears the rest of the chapters might match up. ~~ Secondly, the math is not taught in the order it needs to be for you to work the equations. (Ex: The ability to multiply fractions is needed to solve many of the problems in WB chapter 2, but multiplying fractions is not introduced until Chapter 3 of the textbook and workbook.) THE AUTHOR ACTUALLY STATES IN THE BOOK THAT YOU CAN GO THROUGH THE CHAPTERS IN ANY ORDER. ANYONE WHO'S TAKEN ANY MATH AT ALL KNOWS THERE IS AN ORDER YOU MUST LEARN IT IN. (This is why there is Algebra 1 THEN Algebra 2 THEN Trigonometry.) ~~ Third: The book is poorly written in general. If I wasn't just refreshing my memory, I would not be able to learn Algebra from this book. Many words are partially defined or not defined at all- some may be defined later in the book but are USED in earlier chapters with little or no definition. The author explains the workings of Algebra HORRIBLY and jumps from one thing to the next, even if the two topics don't fit together or reinforce each other at all. (I had trouble understanding the section on POSITIVE and NEGATIVE NUMBERS even though I already completely understand positive and negative numbers!) Much of the time I just stare at the book thinking: WTF is the author trying to say???? ~~ Forth, the editing is horrific. Here are JUST A FEW of the errors in these books: ---1--- On page 24 of the Textbook, "greatest integers" are discussed. Then the books gives you an example that CONTRADICTS the definition. For those of you who don't know what a "greatest integer is, I'll explain it. To begin, an "integer" is a positive or negative whole number, like 1, 0, or -5. An integer is never a decimal or a fraction. So let's say you're given the number 5.76 and are supposed to find it's greatest integer. The "greatest integer" is the closest integer to 5.76 that is -NOT- greater than 5.76. So the answer would be 5. The "greatest integer" of 4.3 is 4. (Because 4 is the closest integer that is -NOT- greater than 4.3.) The "greatest integer" of 2 is 2. (Because 2 is -NOT- greater than 2.) Sorry if it's a crappy explanation, but I'm not a paid writer. HOWEVER! After the definition of "greatest integer" is given IN THE TEXTBOOK, the book says that the greatest integer of 4.5 is 5. IT ABSOLUTELY IS NOT. It is 4! 5 cannot be the "greatest integer of 4.5 because it is GREATER than 4.5! That's like saying that fire must be hot, and then as an example saying that a candle's flame is the same temperature as snow. ---2--- On Workbook pg. 20 a set of brackets are missing in the equation, causing it to read: 3 4+2 = instead of 3{4+2}= (There are more mistakes like this but I'm not going to try to find and list them all.) ---3--- In the section underneath the above example on pg 20 is Problem 1. Problem 1 reads: 3(2-5)+14= ______________ =19-11=8 You will notice that this chain of equations can't possibly be right. That's because it's not. The "=19-11=8" part is a reprint of the above example's answer, which is now also INSIDE of the new problem's question box. ~~ My last complaint is that I actually had to give someone money to learn from this book. If I had not already opened the package, I would return this immediately. ~~ IN CLOSING: My recommendation is to buy a used student textbook. They are available on Amazon and many other websites for a tenth of the price of this book. (I've seen some used HS Algebra textbooks for under $5.) Though they will probably be boring, at least they have been vigorously edited (and written in a sequence that even a 13 year old would understand). I have three children, all in Algebra and all needing help. I went shopping for a supplemental text. I took a look at "Algebra I for Dummies" as a possible choice. I have other "for Dummies" books and like that this one comes with workbook. I opened up the book to a random page and started reading. The page was on the greatest integer function. Their description was correct (greatest integer less than or equal to the value); however, the figures show the wrong result for a positive value ([3.8] = 4 if I remember correctly). I thought this was a simple typo until I noticed that the text attempts to justify it (BTW [3.8] = 3, not 4). It would have been nice for the editor to send the book to someone who knows basic math. I tolerate typographic errors but not conceptual errors. I can't trust a tutorial that gets concepts wrong, even just one. I assume where one, many. 11 von 13 Kunden fanden die folgende Rezension hilfreich 4.0 von 5 SternenGood for my purposes19. Juli 2010 Von Richard Stone - Veröffentlicht auf Amazon.com Format:Taschenbuch I needed a quick refresher because I am job hunting and this sometimes comes up on interviews due to my occupation. I havent had to use this type of math for quite a while though. I dont disagree however with some reviewers who have complained that the material is not really written for beginners. I had to struggle with much of the book and had to go over certain chapters more than once. Also, there isn't nearly enough explanation of certain key concepts. You are expected, for example, to accept that a complicated equation is an equation with a power no greater than 2 in which the equation is set to equal zero. However the accompanying workbook was a great help; in fact, there is just enough explanation of each concept in each chapter of the workbook that I could almost recommend buying the workbook as well as the main textbook. In the end, though it was a struggle at times, I was able to teach myself algebra from this book, and was able to take my placement exam with a passing grade. Like some other commenters. I bought this book because I am looking for a new job 2 years after leaving my prior one, and was advised that I should be ready to answer questions on it. I was panicked, because I was never a strong math student and haven't taken a math class in more than 20 years. 5 von 5 Kunden fanden die folgende Rezension hilfreich 5.0 von 5 SternenI wish I got them at school11. September 2011 Von ifrombelgium - Veröffentlicht auf Amazon.com Format:Taschenbuch Seriously, I love this bundle. The Dummies series are always enjoyable and learning math with them is a breeze. It's always funny and there are plenty of example why you do this or that. When at school there was not structure at all. I just had to copy what was written on the blackboard and as I'm short sighted with no glasses...I sucked at math. Thanks to these books I can have a nice way of reviewing math and I'm eager to learn. These are page turners. The geeky math history notes make math a living thing with a purpose: make our lives easier. One important thing to bear in mind is that to be good at math you need to practice. So the workbook is a must. I read all of Algebra I, started Algebra II but did't do the exercices. I took a step back and am now filling in the exercises in the workbook. That workbook is well done. It gives a condenses idea of the algebra concepts taught in the book itself. There are a lot of exercises and by doing these you get better for sure. If you want to learn math without being intimidated use this book. You can still listen to your teacher ask you to write down stuff in your ring booklet...these books are your corner stone 5 von 5 Kunden fanden die folgende Rezension hilfreich 4.0 von 5 SternenMATH REVISTED12. August 2010 Von Wildfire - Veröffentlicht auf Amazon.com Format:Taschenbuch\|Von Amazon bestätigter Kauf Algebra I for Dummies is clear, concise and helped me understand concepts I learned 40 years ago. The tips and examples are easy to apply. A must reference! Beliebte Markierungen According to the even-odd rule, when multiplying and dividing a bunch of numbers, count the number of negatives to determine the final sign. An even number of negatives means the result is positive. An odd number of negatives means the result is negative. Markiert von 28 Kindle-Nutzern An irrational number cannot be written as a fraction, and decimal values for irrationals never end and never have a nice pattern to them. Markiert von 25 Kindle-Nutzern The commutative property means that you can change the order of the numbers in an operation without affecting the result. Addition and multiplication are commutative. Subtraction and division are not.
Find a Riverside, RI Algebra ...Despite its seminal importance in the modern world, calculus introduces only one truly new concept: the limit. The other two major tools of calculus - differentiation and integration - are simply application of the limit to different kinds of problems. Mastering calculus requires a strong foundation of algebra and trigonometry, followed by an in-depth understanding of limits.
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Basic College Mathematics with Early Integers 9780321726438 ISBN: 032172643X Edition: 2 Pub Date: 2011 Publisher: Pearson Education Summary: Martin-Gay, Elayn is the author of Basic College Mathematics with Early Integers, published 2011 under ISBN 9780321726438 and 032172643X. Five hundred twenty five Basic College Mathematics with Early Integers textbooks are available for sale on ValoreBooks.com, two hundred sixteen used from the cheapest price of $45.41, or buy new starting at $178.31 the information used inside the book was helpful for my desire to re-learn math from the bottom up. Developmental math appreciation, I simply took the course so I could re-learn math from the bottom due to not having had a math class in over 10 yrs as well as I don't remember ever having a math teacher that really cared if I learned and understood.
For many people, mathematics is a subject inspiring dread rather than curiosity or fascination. Such negative feelings often come from experiences with school mathematics and the role in the mathematics learning process played by teachers or parents. Students frequently hold these views and lack confidence in their ability to do mathematics in two of the classes we teach. Mathematics 110, Liberal Arts Mathematics, satisfies the quantitative methods general education requirement and is taken by students majoring in the arts, humanities, communications, liberal studies, and child and adolescent studies. For many of them, this will be their last exposure to a course in mathematics. Mathematics 303A, Fundamental Concepts of Elementary Mathematics, is designed for prospective elementary teachers. So in both these courses, beyond the conventional outcomes associated with mathematics instruction, we seek to modify fundamental attitudes our students have about mathematics. We believe we are achieving some promising outcomes. In our classes we attempt to present in a stimulating and non-threatening environment both the practical and the aesthetic aspects of mathematics. We also explore some useful ways of thinking about and using mathematics, and demonstrate why mathematics is both an enjoyable and entertaining discipline. We feel that the ability to appreciate mathematics and the challenges of problem solving are vital outcomes for our students. Many of them are destined to become teachers, who will provide children with their first exposure to the discipline. All of them as adults will have a role to play with mathematics, whether as teachers, parents, voters, and decision-makers. We want them to take away from our class a greater appreciation for mathematics as a living, exciting subject, many parts of which they can comprehend and enjoy. Even if they don't become enthusiasts, we hope that they will at least become friends with respect to the importance and accessibility of the study of mathematics. Beyond teaching the content, we endeavor to influence students' views of mathematics and their own confidence in using it. Because of these objectives, we use a markedly different approach to instruction and assessment from that traditionally used in mathematics classes. Our belief is that students learn mathematics best when they are actively engaged with it. Consequently, we actively engage students in the learning process. To reduce anxiety, build confidence, and stimulate interest we focus classroom time on activities that involve students working in groups. The activities, in contrast to typical mathematical exercises, are designed to encourage students to communicate, explore, speculate, take risks, and to become personally engaged in the learning of the mathematical ideas being presented. Whenever possible, activities involve more concrete and visual experiences to bridge the transition from simple beginnings to more abstract understanding. Our techniques lead to lively classroom discussions in which students share discoveries and insights, successes and failures in a non-judgmental setting. This approach to instruction and our own philosophy about how best to measure learning mean that conventional mathematics assessment is not an option for us. The one-hour, closed book examination, so prevalent in mathematics classrooms, contributes to student anxiety and lack of confidence, and yields limited insight into student understanding. We use portfolios as the primary means of student assessment. Portfolios offer students the opportunity to extend ideas beyond the classroom and to reflect upon the content and the experience of learning mathematics. Without the time constraints imposed by a traditional examination, students are better able to respond to a richer variety of assessment items and to present evidence of their best work. Some Outcomes Student reactions have been overwhelmingly positive to our methods of teaching and assessment. Of equal importance, we believe we are accomplishing our objectives. We base this on the information we have gathered over the past two years of teaching Math 110 and three semesters of Math 303A. In Math 110 we have been measuring changes in the students' confidence in their ability to do mathematics and their feelings about the subject of mathematics. We have only recently begun to gather analogous quantitative information for Math 303A, but for both classes we have a variety of qualitative feedback. Since the summer of 1997, we have asked students in Math 110 to respond to two "before and after" prompts: Rate your feeling about the subject of mathematics before you took this class Rate your feelings about the subject of mathematics now and Rate your confidence in your ability to do mathematics before you took this class Rate your confidence in your ability to do mathematics now Each item requires a response on a scale of one to five. The choices for the first item are (1) strong dislike (2) dislike (3) neutral (4) like (5) strong like. For the second items the choices are (1) very low (2) low (3) average (4) high (5) very high Table 1 below displays information obtained from these items. The first row reflects the before and after scores for all 150 students in five sections who responded to the survey offered over the last two years. In the category of feelings about mathematics, the original average of 2.61 (a score midway between "dislike" and "neutral") increased 1.45 points to an average value of 3.92 (almost a score of "like"). For the category of confidence, the scores increased from an initial value of 2.92 by .89 to 3.81, a change from near "average" to near "high." While these results from the entire group are encouraging, we recognize that many of the students may have entered the class already feeling positive about mathematics and their ability to do it. Consequently, we were particularly interested in how our approach to the course influenced the more than two-thirds of the students whose initial feelings about mathematics ranged from neutral to strong dislike or whose confidence in their ability to do mathematics ranged from average to very low. There were 116 students in the former category and 103 students in the latter. We examined the changes in average scores for these groups. The results here are very rewarding. The second row in Table 1 reflects the before and after scores for these selected students. For the group whose feelings were neutral to negative the initial score of 2.07 increased by almost two points to 3.92. In the confidence category, the score went from 2.33 to 3.59, an increase of 1.26. Feelings Confidence Before After Increase Before After Increase All Students 2.61 4.05 1.44 2.92 3.81 .89 Selected Students 2.07 3.92 1.85 2.33 3.59 1.26 Table 1 Improvement in Math 110 Students Feelings and Confidence Based on Averages in All Sections Beyond the increase in average score, we were interested in the number of the selected students whose attitude and confidence improved to scores of three or above. Table 2 contains the data for these students. One hundred four (almost 90%) of the one hundred sixteen recorded an increased score of three or better, while eighty-nine (76.7%) reported their feelings about mathematics as either "like" or "strongly like." Confidence, too, improved for the selected group of one hundred three, with seventy-four (71.8%) reporting an increased score of three or better. Remarkably, fifty-four (slightly more than half) of those students who originally had described their confidence in their ability to do mathematics as "very low," "low," or "average" now describe themselves as having "high" or "very high" confidence in their abilities. Feelings Confidence Total > 3 % > 4 % Total > 3 % > 4 % 116 104 89.7% 89 76.7% 103 74 71.8% 54 52.4% Table 2 Improvement in Math 110 Students Feelings and Confidence Based on Initial Student Scores Below Four We do not yet have comparable data from our experiences in Math 303A. Nevertheless, students' written comments indicate that positive changes in feelings and confidence occur in this class as well. The examples of student reactions that follow are indicative of the responses that we receive from our students in Math 303A and closely parallel those from Math 110. The most important lesson I learned in your class [is] a greater appreciation for the art of mathematics. I walked into this class fearing and dreading math, but I'm glad I'm walking away with a different perspective. I truly believe that I will remember what I learned from this class and take it with me when I go into a classroom and teach. You made math more interesting. I feel that I have gotten so much out of this class by having very little lecture and lots of hands-on time. the best experience in a math class I have ever had. I have a higher appreciation for math now. [I] hated math. After completing this class, and even enjoying it, I can honestly say that I don't hate math . My eyes are wide open, and I see the mathematics I have in my life, and nature. While we believe that the manner in which the classes are taught contributes in a significant way to these changes, we also find that the use of portfolios for assessment of student learning plays an important role. Our students tell us that they uniformly prefer portfolios to traditional in-class exams. Almost all say the portfolios are challenging, but that they learn and retain more from assembling them. Because of the opportunity for reflection, our students feel that they produce higher quality work and are better able to demonstrate what they have learned with less stress. Again the students' comments speak for themselves. . teaching is not about the memorization of every single rule. The portfolio shows how we [use] our books for a basic understanding of a concept that we then apply to more advanced [problems]. I cannot articulate to you how helpful the portfolios have been for me this whole semester! They did not only help me learn, but I am sure they will help me in the future as well. The items in the portfolios challenged me immensely. I feel it's a great and unique way of measuring what I've learned in the class. [Portfolios] are a lot less stressful than a regular test. Having to do portfolios was a very great idea because it helps me think without rushing myself. I like the portfolios because they help me express what I have learned without any pressure. Conclusions When we began to teach Math 110, we knew that many of our students would enter the course with views of our discipline that ranged from neutral to hostile, with corresponding levels of confidence in their ability to do it. We also knew that we wanted to try to influence the way our students thought about themselves and mathematics. We have designed our approach to the teaching and assessment of our classes using ideas based in our own experience and on the literature on what constitutes good practice. Our work thus far, supported in part by the Los Angeles Collaborative for Teacher Excellence, a five-year, multi-campus project funded by the National Science Foundation, indicates that we have been able to change student perceptions for the better in a significant number of cases. These changes are occurring in the mathematics courses for elementary teachers as well. Two obvious next steps lie ahead. We want to try to determine how lasting these changes may be. If a few years from now, we measure how these same students view mathematics, will our class have had any lasting influence or will this turn out to be simply a temporary euphoria? Many of the students who enroll in liberal arts mathematics and never take another mathematics course will go on to hold opinions about mathematics education as parents, workers, voters, and opinion-shapers. Others, from that same course or from courses for prospective teachers, will live lives that may actively involve the use or teaching of mathematics. We know that early experiences with mathematics shape initial opinions; will positive experiences with the last courses taken restructure negative perceptions? We believe they will. We also must determine if our success can be generalized to other instructors and other classes. Ours is a challenging way to teach and the preparation is demanding of time and creative energy. But if we are correct that this approach enables more students to learn the subject with confidence and enthusiasm, and to demonstrate successfully what they have learned, then there is impetus for change on the part of our colleagues. Will faculty be willing to shift from traditional methods? We believe they will.
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The Need for Techno-Mathematical Literacies Improving Mathematics at Work questions the mathematical knowledge and skills that matter in the twenty-first century world of work, and studies how the use of mathematics in the workplace is evolving in the rapidly-changing context of new technologies and globalisation. Through a series of case... At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education... Published October 22nd
Without a basic understanding of maths, students of any science discipline are ill-equipped to tackle new problems or to apply themselves to novel situations. In this book, Keith Gregson covers a few essential topics that will help encourage an understanding of mathematics so that the student can build on their understanding and apply it to their... more... For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the... more... The purpose of this book is to give a comprehensive exposition of the theory of boundary integral equations for single and double layer potentials on curves with exterior and interior cusps. The theory was developed by the authors during the last twenty years and the present volume is based on their results. The first three chapters are devoted to...Students and research workers in mathematics, physics, engineering and other sciences will find this compilation invaluable. All the information included is practical, rarely used results are excluded. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference! If you don't have a lot of time... more... Mathematics is the basic foundation course for all Engineering students. This edition covers the topics of numerical methods, matrices, Fourier Series and Fourier transforms along with Partial differential equations and Z-transforms. The subject matter has been presented in detailed and simple lucid way. The theory aspect is explained with illustrations... more...
How to Learn Pre Calculus Pre-calculus learning is very good for mastering calculus with which students would encounter in later learning. If some students want to be good in science, mathematics, finance etc. they must gain knowledge of calculus. The best way to master calculus is to understand pre-calculus, at first. Learning Pre-Calculus Instructions - If you want to know pre-calculus, you must have knowledge of algebra. In pre-calculus you will meet problems that require algebraic knowlegde for their solving. If you do not have good knowledge in algebra, you should repeat that material. - If you didn't learn pre-calculus before, you can check whether in some local college they have pre-calculus classes. When you find out where you can take classes, go there and sign up for that classes. - The best way for mastering pre-calculus is if you have a tutor. He or she will help you to understand the material and they will help you solve pre-calculus problems, as well. - Exercise every day. This is the best way in learning mathematics, so this is the best way for mastering pre-calculus. If you practice pre-calculus problems every day, you will learn it much easier. Tips and warnings Every problems should be solved, at first, and only when you finish it, then you can check the answer. If your answer is not the same like in solution of the task you should re-work the problem and try to find where you have made an error.
Prime Numbers and Computer Methods for Factorization (Progress in Mathematics) Book Description: In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography
More About This Textbook Overview This is the second edition of the bestselling resource for mathematics teachers. This time-saving reference provides over 300 useful lists for developing instructional materials and planning lessons for middle school and secondary students. Some of the lists supply teacher background; others are to copy for student use, and many offer new twists to traditional classroom topics. For quick access and easy use, the lists are numbered consecutively, organized into sections focusing on the different areas of math, and printed in a large 8-1/2" x 11" lay-flat format for easy photocopying. Here's an overview of the ready-to-use lists you'll find in each section: I. NUMBERS: THEORY AND OPERATIONS presents 40 lists including classification of real numbers, types of fractions, types of decimals, rules for various operations, big numbers, and mathematical signs and symbols. II. MEASUREMENT contains over 30 lists including, things that measure, measurement abbreviations, the English and Metric Systems, and U.S. money¾coins and bills. III. GEOMETRY offers more than 50 lists covering topics such as lines and planes, types of polygons, types of quadrilaterals, circles, Pythagorean triples, and formulas for finding area and volume. IV. ALGEBRA gives you over 40 lists including how to express operations algebraically, powers and roots, common factoring formulas, quadratic functions, and types of matrices. V.TRIGONOMETRY AND CALCULUS provides more than 30 lists including the quadrant signs of the functions, reduction formulas, integration rules, and natural logarithmic functions. VI. MATH IN OTHER AREAS offers more than 30 lists that tie math to other content areas, such as descriptive statistics, probability and odds, numbers in popular sports, and some mathematical facts about space. VII. POTPOURRI features 16 lists that explore the various aspects of math including, famous mathematicians through history, world firsts, math and superstition, and the Greek alphabet. VIII. SPECIAL REFERENCE LISTS FOR STUDENTS provides 10 lists of interest to students such as overcoming math anxiety, steps for solving word problems, and math web sites for students. IX. LISTS FOR TEACHERS' REFERENCE contains 25 lists such as how to manage a cooperative math class, sources of problems-of-the-day, how to have a parents' math night, and math web sites for teachers. X. REPRODUCIBLE TECHING AIDS contains an assortment of helpful reproducibles including number lines, fraction strips, algebra tiles, and various nets for making 3-D geometric shapes. Related Subjects Meet the Author Judith A. Muschla has taught mathematics in South River, New Jersey, for over twenty-five years. Gary Robert Muschla, prolific author and classroom teacher, has taught reading and writing for more than twenty-five years in Spotswood, New Jersey. This is the eighth math resource coauthored by Judith Muschla and Gary Muschla. Their earlier books include The Math Teacher's Book of Lists, First Edition; Hands-On Math Projects with Real-Life Applications; Math Starters; The Geometry Teacher's Activities Kit; Math Smart; Algebra Teacher's Activities Kit; and Math Games all published by Jossey-Bass
Differential Geometry Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences. This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author's skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem. Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray's famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray's death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi's formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space. Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics. In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions. Robert Geroch's lecture notes on differential geometry reflect his original and successful style of teaching - explaining abstract concepts with the help of intuitive examples and many figures. The book introduces the most important concepts of differential geometry and can be used for self-study since each chapter contains examples and exercises, plus test and examination problems which are given in the Appendix. As these lecture notes are written by a theoretical physicist, who is an expert in general relativity, they can serve as a very helpful companion to Geroch's excellent "General Relativity: 1972 Lecture Notes."
Mathematics for Instrumentation Technicians (FG02) Description: This course is specifically designed for the instrument technician who may be struggling with mathematical computations or those who need a basic refresher. The course is focused entirely on fundamental problems and solutions that an instrument tech continuously works with from entry to supervisory level experience. It also provides a good prerequisite for the various math calculations involved in other ISA training courses. You will be able to: Recognize the role that mathematics plays in a technician's daily duties Manipulate formulas to obtain unknown value(s) Define how and why to linearize an output Analyze and define a word problem and its related answers Manipulate very large (M, K) and very small numbers (Milli, Micro, Nano, Pico, Femto, Atto)
Book DescriptionEditorial Reviews Review From the reviews: "Through an abundance of examples, this volume teaches the reader how to use Mathematica to visualize functions and data, manipulate graphics, and optimize their appearance. … the graphics GuideBook confronts you with a huge collection of 2D graphics, contour plots, plots of surfaces, free-form 3D surfaces, and animations. Hundreds of detailed examples and programs … illustrate visualization techniques, methods, and algorithms." (Willy Hereman, SIAM Review, Vol. 47 (4), 2005) From the Back Cover Mathematica is today's most advanced technical computing system. It features a rich programming environment, two- and "The Mathematica GuideBook for Graphics" provides a comprehensive step-by-step development of how to use Mathematica to visualize functions and data, manipulate graphics, and optimize their appearance. Two-dimensional graphics, contour plots, plots of surfaces, free-form three-dimensional surfaces, and animations are the core topics. Hundreds of detailed examples and programs show a large variety of visualization techniques, algorithms, methods, and tricks. These tools allow the reader to create virtually any possible graphic, from simple curves to scientific visualizations and artistic images and logos. Mathematica graphics functions are discussed in detail, explained in numerous examples, and put to work in programs that are all contained on the accompanying DVD. Unique Features: Step-by-step introductions to all Mathematica graphics capabilities Comprehensive presentation of two- and three-dimensional graphics primitives and directives, as well as plotting capabilities for functions and data Hundreds of unique and innovative scientific visualizations and artistic images Website for book with additional materials and updates: Accompanying DVD contains all material as an electronic book with complete, executable Mathematica versions 4 and 5 compatible code and programs, rendered color graphics, and animations Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading the development of the Wolfram Functions Site which currently features more than 80,000 formulas and identities, and thousands of visualizations. It is unfortunate that two recent Amazon reviewers have found it difficult to understand the programming style in this book. I am a retired mathematician, now an antiquarian bookseller. Over the last 14 months, I have been reading all four books in the GuideBooks set and am preparing detailed written reviews on their content for publication elsewhere. The Graphics volume, like volumes 3 and 4, assumes that the reader has read the first volume, Programming, the full text of which is available with this volume. Indeed, this is explicitly stated in Section 0.1.2 of the Introduction: "The four volumes of the GuideBooks are basically independent, in the sense that readers familiar with Mathematica programming can read any of the other three volumes. But a solid working knowledge of the main topics discussed in The Mathematica GuideBook to Programming -- symbolic expressions, pure functions, rules and replacements, list manipulations -- is required for the Graphics, Numerics, and Symbolics volumes. ... The whole suite of graphical capabilities and all of the mathematical knowledge in Mathematica are accessed and applied through lists, patterns, rules, and pure functions, the material discussed in the Programming volume." Mathematica's pure functional notation and nonprocedural programming and symbolic pattern-matching can appear quite cryptic, being difficult to understand without the detailed background provided in the Programming volume. This is not to slight the ability of people who have been programming in Mathematica for many years, for one can write procedural, pure function [nonprocedural], or object-oriented programs in this robust system. Fortunately, the Graphics volume comes with a DVD that includes the complete text of all four volumes in the 5029-page GuideBooks series, including an index and hyperlinks to references and material found in the other volumes. Once one has read the needed chapters of the Programming volume, reading and understanding the programs in this outstanding Graphics volume is quite straightforward.Read more › As an artist, I knew I was going to a raised eyebrow or two when I installed Mathematica on my computer. Math isn't art, the naysayers would chant. Au contraire! And at last I have the book to prove it! Reading through normal Mathematica manuals gives you the briefest of cursory introductions to what the software can do in terms of graphics. Mr Trott's opus, however, was an answer to a prayer. In excruciating detail he takes you step by step, teaching you how to develop the graphics that indeed show you that Math is Art! Page after page took my breath away, both at the complexity of the math involved and at the bauty that results. Thank you! Imagine thumbing through a technical 1340 page book full of Mathematica graphics codes. If you are a Mathematica user, you would love going over this book. Michael Trott's The Mathematica Guidebook to Graphics is a treasure. He generously shared his labor of love with the ever growing Mathematica user community. Each chapter of the book is flooded with a wealth of references; he has clearly done his homework. The number of reference chapters runs well into the hundreds, some chapters have more than 800. Reviewing the references helps to compliment the unfamiliar concepts. The book also has an accompanying DVD. I personally have not used the DVD; I'd rather rehash the codes manually and try to understand them by trail and error. Essential comments explaining the reasoning behind using the commands for the majority of the codes are embedded in the codes. This book is properly called Guidebook; it is not a text book. Its target audience is a semi-advanced Mathematica user. However, interested beginners may well learn a lot going over the codes. Chapters also end with suggestive practice problems, some challenging, but nonetheless rewarding. Michael is a physicist with profound mathematical knowledge and skills. He has developed his own Mathematica coding style. As we all may agree, Mathematica is the natural glue joining physics and mathematics together; the playground is Mathematica and the players are physics and math. In my view, this book needs to be in every Mathematica-using physicist's personal library. I highly recommend the book, and applaud Michael for his enormous efforts in bringing the extended graphics features of Mathematica to the fore. Trott is one of the most gifted programmers and teachers you'll ever encounter, and one of the few mathematicians left who knows CAS at a PhD level and DOESN'T work for TI or HP with all kinds of "I won't tell" agreements! The four guidebooks in the Mathematica series represent over 5,000 pages detailing all aspects of numerics, symbolics, graphics, and most importantly, programming. No mathematician, engineer, researcher (including "R" biostats folks), computer scientist or physicist using mathematica can pass on this series. Even if you use a "free" version of GNU-CAS or the home version of Mathematica (Wolfram Mathematica 9 Home Edition (Windows/Mac/Linux)), this series gives a peek into CAS levels that have long been unpatented trade secrets of TI and HP and very tough to decode. NO other good recent books cover the behind the curtain aspects of CAS as well as these volumes. If you're a math programmer, even if you love Maple, you'll find this series way helpful, at all kinds of levels. Mathematica is a layered object language, and has multiple compile levels (with an overriding interpreter), which are essentially functions in what, as a programmer, you'd call arrays or hashes (or in Mathematica-speak, lists, functions, rules and patterns). You MUST read the programming book to "get" the rest of the series, otherwise you'll be stuck in what seems like a no-man's land of not being able to define your own classes yet not being able to use typical CAS-like functions in assembly-- when in fact both, and much more, are supported once you get it. We still use the graphics volume at our shader joes sub, and it is as relevant in 2013 as it was 5 years ago. I probably don't have to mention that a C++ compiler is a must beyond a certain level of coding. The difference in "getting" the unique symbolics is code that takes forever to run vs. code that executes as if directly compiled just like Fortran. Now, for the Amazon deal. The simply AMAZING DVD that comes when you buy one of these volumes new (or used with a SPECIFIED unopened DVD) has an incredible reference with the texts for all the volumes. So, if you have an interest in one area over another (programming, symbolics, numerics, graphics), you can get that 1,000 to 1,300 page gem, and still read all the rest! I personally recommend getting the one you want new on Amazon to be sure you get the whole, functional DVD. Given that these are starting to skyrocket in price due to supply/demand, that could literally save you $300 or more. If you do find a good "deal" from a third party, follow this algorithm: 1. MAKE SURE the description on the LEFT (with the product condition) specifically says an unopened DVD is included. You can even comb the 4 volumes under Amazon's "see all offers" feature to find this statement. 2. Obviously, if the listing says "associated media MAY not be present" etc., do NOT buy there. Less obviously, if it says nothing but a condition like good or acceptable, remember that "good" itself CAN INCLUDE the UNSTATED spec that media "may" be missing. Pass there too! 3. In addition to the "includes unopened DVD," buy from a minimum 96% rated seller with at least 1,000 ratings, and be sure they SAY where they are shipping from. China and India do NOT have to tell you this, although they do have to meet Amazon's delivery time ranges. You just can't be sure what long transport times will do to media if it's not in the original, sealed shell. Joining Prime also gives the option of warehouse shipping free from Amazon itself if a third party tells you the above, yet Amazon warehouses and ships. That gives the added advantage of Amazon's professional packaging. Regardless of which volume your prefer, you need to start by reading volume one, the programming text, or you'll be lost even in graphics. Programming not only gives you a crash course in CAS, but shows the many unique functions and methods of this software. It really is a hybrid between CAS functions and libraries and much more C++ looking calls and features if you get into it deeply. This allows you to come from many different points of view, and help learn the others if you wish. Truly an extraordinary series, in math/computer education as well as using the software to its full ability. The publisher advertises these as stand alone, which is true, but ONLY because the DVD allows you to read programming first! Without the DVD, that statement is misleading (which isn't the publisher's or Amazon's fault, let alone the author!). One joke says that the definition of discrete math today is all the math/computer UI's they've removed from High School now! Don't get me started. Removing a calculus requirement means we're teaching 2,500 year old math to many of our HS grads. Adding just the basics of calc brings them up to 1666. If you teach, consider sneaking wisdom from these texts into your courses; we might even begin to bring our grandkids up to 1960 or so!!! forRead more ›
Calculus and Differential Equations for Life Sciences Calculus courses have been taught at universities around the world for hundreds of years. The teaching materials for calculus, from traditional textbooks to modern computer software, have been reinvented and refined over the years and have become classical and standard. Thus, the most challenging question for this project is: why do we need to develop a new calculus course? The straightforward answer is that although the basic concepts and techniques of calculus have not changed, many fields where mathematics is applied have developed and advanced, especially in the biological sciences, and most importantly the students have changed. All these changes have increased concerns over science, technology, engineering and mathematics (STEM) education [see Project Kaleidoscope (2006)]. The reforms in STEM education demand a redesign of foundation courses in mathematics, among which calculus is the key to quantitative analysis in sciences. Although we can teach and learn calculus from the pure and abstract mathematical point of view, the general consensus is that the most efficient way to study/teach Calculus is connecting the mathematical concepts with their applications. Classical applications for teaching Calculus include: moving objects, free fall problems, optimization problems involving area or volume and interest rate problems. These examples have been proved to be very efficient for engineering students but not for the life science majors. We have developed a set of application examples for Calculus, which are more biology oriented. These include: growth/decay problems in any organism population, gene regulation and dynamical changes in biological events such as monitoring the change of patients' temperature along with the medications. By using these examples, the students would feel the connection between mathematics and their major subjects. Consequently, they are more motivated to study Calculus. Traditionally, the first Calculus course does not include exponential functions and logarithm functions. Because of the applications as mentioned above, it is essential for us to discuss these two functions in our first Calculus course. With careful planning, this is not difficult to do. In fact, this course could be more efficient than the traditional Calculus I. The objective of the first semester calculus is to train the students in the basic concepts and techniques of calculus: limit, continuity, differentiation and integration. This course is important because it transitions from high school mathematics to higher mathematical thinking with analytical rigor. It is also important because of its wide applicability in many fields, from science and engineering to economics and social science, allowing students to broaden their horizons of investigation and career options. We believe that most of the students would learn calculus well if they were motivated by the prospective usefulness of calculus in their future studies and careers. They would also appreciate mathematics more if they felt that they were connected with the applications as well as the theories. However, the traditional first-semester calculus focuses on applications in mechanics and physics. Although calculus textbooks nowadays contain some problems in economics and business, chemistry and biology applications are rare and instructors usually do not mention them at all in class, being somewhat unfamiliar with those fields. We will design a new first-semester calculus course which would break this tradition and contain a balanced set of application examples in biology, chemistry, economics and physics. This will then serve as a gateway course for students from all fields so that they can have a broader view about calculus. Figure 1. Plot of a Michaelis-Menten function. This function is always increasing and concave down. It has a horizontal asymptote, y=4. For this part, we will cover all the theories and techniques that are covered in the traditional calculus-I course. Unlike in the traditional calculus-I course where most of application problems taught are physics problems, we will carefully choose a mixed set of examples and homework problems to demonstrate the importance of calculus in biology, chemistry and physics, but emphasizing the biology applications. Example 1. Traditionally, the first application discussed in Calculus I is the distance/velocity/acceleration problem for moving objects including the free-fall problem. For our Bio-enriched Calculus I, we will consider the Michaelis-Menten kinetics function [4][9]: This function has many applications in biological fields. For example, it can be used for modeling in enzyme reaction or population growth. Here n could be the nutrient concentration and f be the growth rate function for bacteria; Kmax and Kn are positive constant parameters standing for maximum growth rate and the nutrient density at which the bacteria growth rate reaches Kmax/2. This example can be used to introduce the dependence on nutrient as the first derivative and the acceleration (deceleration) of it as the second derivative. In the later discussions of related rates, we can revisit this example for the relationship of two time dependent functions, u(t) and n(t): where u(t) and n(t) are bacteria density and nutrient concentration as functions of time, t. Graphing of the Michaelis-Menten kinetics function can be one stone for two birds: using graphing techniques with derivatives and showing the biological significance of the two parameters Kmax and Kn (Figure 1). Example 2. (Example given in [2] adapted from [1]) Ichthyosaurs are a group of marine reptiles that were fish-shaped and comparable in size to dolphins. They became extinct during the Cretaceous. Based on a study of 20 fossil skeletons, it was found that the skull length (in cm) and backbone length (in cm) of an individual were related through the allometric equation: where S(x) is the skull length and B(x) is the backbone length at age x. After differentiation on both sides of the equation and a couple of manipulation steps, we end up with the equation: The first equation gives the relationship between S(x) and B(x). However, it is the second equation that clearly shows that the backbone grows faster than the skull. This example contains several basic calculus concepts and techniques, derivative, power chain rule, relative growth rates and related growth rates. Plus it stirs the students' curiosity with questions like why babies always seem to have big heads. Although all application examples of calculus are interesting in some way, examples from microbiology and paleontology as given above are certainly more fascinating to the students in life sciences. Throughout the course, we will carefully integrate the application examples with the calculus concepts and techniques. By the end of the semester, we have two missions to complete: a solid introduction to calculus with rigorous standards of understanding and mastery, and building a real bridge between mathematics and life sciences.
Crucial to business success, numerical methods are often viewed as too complex to understand, much less use. They are, in fact, far less complicated, able to be broken down into step-by-step instructions and processed by basic computing devices. This invaluable resource from the publishers of The Economist, the leading international business journal, simplifies and demystifies the numbers game, illustrating just how straightforward—and relatively easy—it really is.Taking you clearly and concisely through numerous fundamental functions, both elementary and advanced, The Economist Numbers Guide arms you with the tools necessary to not only approach numbers with more confidence, but solve financial problems more easily, analyze information more accurately, and make decisions more effectively.Covering finance and investment, forecasting techniques, hypothesis testing, linear programming, and a host of other important topics, it shows you how to handle everything from figuring interest and quantifying risk to projecting inflation and evaluating investment opportunities.In addition to the basic mechanics of numerical techniques, the Guide takes a look at their practical applications, including their role in stock control, simulation, and project management. To help you sidestep potentially costly mistakes, it also highlights common errors to avoid, such as rounding incorrectly and bypassing time series selection.Along with sample calculations, concise definitions, and clear explanations, as well as more than 100 charts, graphs, and tables, The Economist Numbers Guide features an A-to-Z dictionary that encompasses key terms—from autocorrelation to zero sum game—and provides useful reference material on such essentials as conversion factors and formulae for calculating areas and volumes.In-depth and easy-to-use, this is an indispensable reference for business and numbers success.From the publishers of the renowned international business journal, The Economist Numbers Guide helps you grasp key numerical methods, as well as apply them simply and effectively. Taking you step by step through a host of fundamental functions, from basic techniques to advanced concepts, it brings together all the information you need to use numerics in making better decisions, analyzing data, maximizing business potential, and a host of other important areas. Packed with sample calculations, clear explanations, and numerous charts and graphs, this invaluable resource covers: Key concepts—fractions, proportions, index numbers, probability Finance and investment—interest, annuities, inflation, exchange rates Forecasting techniques—time series, trends, cycles, residuals Linear programming and networking—optimal solutions, traps and tricks, multiple objectives Practical applications—game strategy, Markov chains, queuing, simulation And much, much more!
Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a... more... This paperback edition is a reprint of the 2000 edition. This book provides an overview of the theory and application of linear and nonlinear mixed-effects models in the analysis of grouped data, such as longitudinal data, repeated measures, and multilevel data. A unified model-building strategy for both linear and nonlinear models is presented and... more... This engaging text presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education. Key concepts are taught through a large collection of challenging yet fun mathematical games and logical puzzles that require... more... Offers an overview of theories, methodologies, and developments in the field of statistical learning and statistical analysis for visual pattern modeling and computing. This book describes a theoretical foundation, offers a summary of advances, and presents typical issues to be considered in making a real system for visual information processing. more... This book uses MATLAB as a computing tool to explore traditional DSP topics and solve problems. This greatly expands the range and complexity of problems that students can effectively study in signal processing courses. A large number of worked examples, computer simulations and applications are provided, along with theoretical aspects that are essential... more...
Franklin Park, IL Trigonometry Physics, it was related to Matrix Algebra. Not just adding and multiplication but computing eignevalues, too, or the Gauss elimination. In other classes, as Crystallography or Statics, it was mainly 3-D vectors
This course extends and further deepens the topics of the regular course by teaching the Algebra II concepts required for AP mathematics. This course is taught at a faster pace for highly motivated students. Content includes foundations for functions, algebra and geometry, linear and quadratic functions, complex number systems, radical and rational functions, exponential and logarithmic functions, higher-order polynomial functions, conic sections, and sequences and series. This course is designed to build on the concepts developed in Algebra II, while also introducing new concepts essential to the understanding of Calculus. Content includes functions, transformations, inverses of functions, polynomial functions, radical functions, rational functions, exponential and logarithmic functions, conic sections, trigonometric functions and equations, and sequences and series. This course provides a firm foundation for Calculus and is highly recommended for college bound students. This course is a study of functions, equations, and limits. It incorporates and extends topics from algebra and piece-wise defined functions. Students also study conic sections, vectors, and sequences and series. Topics include functions, graphs, limits, differentiation, integrals, and their applications. Students will receive credit for College Math 2413 (Calculus I). This course includes differential and integral calculus with applications of previous math courses. The intent is preparation for college and/or one or more semesters of advanced placement calculus. Topics include functions, graphs, limits, differentiation, integrals, and their applications. This course includes differential and integral calculus with applications of previous math courses. The intent is preparation for college and/or one or more semesters of advanced placement calculus. Topics include functions, graphs, and limits, derivations, integrals and their applications. Students enrolled in this course will be required to take the AP Calculus Exam offered by The College Board.
Mathematics for Economists 9780393957334 ISBN: 0393957330 Pub Date: 1994 Publisher: Norton, W. W. & Company, Inc. Summary: An abundance of applications to current economic analysis, illustrativediagrams, thought-provoking exercises, careful proofs, and a flexibleorganization-these are the advantages that Mathematics for Economists brings to today's classroom. Simon, Carl P. is the author of Mathematics for Economists, published 1994 under ISBN 9780393957334 and 0393957330. Six hundred eighty four Mathematics for Economists textb...ooks are available for sale on ValoreBooks.com, one hundred twenty six used from the cheapest price of $43.20, or buy new starting at $112.99.[read more
This course explores mathematical concepts including arithmetic, problem solving, number theory and pre-algebra using whole numbers, fractions and decimals. Students experience these concepts through real-world applications, hands-on models, and by using appropriate technology. This course prepares students for elementary algebra by experiencing concepts in rational and irrational numbers, percents, integers, unit conversion, rates of change, proportions, geometry and an introduction to variables and equations. Students experience these concepts using a problem solving approach with real-world applications, hands-on models and appropriate technology. This course explores beginning algebra concepts including linear equations and inequalities, quadratic equations, and an introduction to functions through numerical, graphical and symbolic representations. Students experience these concepts using a problem solving approach with appropriate technology. This course is the first half of MATH100 Elementary Algebra. The topics covered include an introduction to algebra, integers and rational numbers, solving equations and polynomial operations, all in a problem solving setting. Students must complete both MATH100A and MATH100B to have the equivalent of MATH100. Students may not receive credit in both MATH100A and MATH100. This course is offered only in the fall semester. This course is the second half of MATH100 Elementary Algebra. The topics covered include graphs, linear equations, systems of equations, inequalities, sets and quadratics. Students must complete both MATH100A and MATH100B to have the equivalent of MATH100. Students may not receive credit in both MATH100B and MATH100. This course is offered only in the spring semester. This is a terminal course in mathematics intended to satisfy the mathematics general education requirement for students pursuing bachelor's degrees. Topics covered may include set theory, logic, voting methods, probability and statistics, finance, linear programming, modeling, graph theory, number theory, and geometry. This course explores algebraic concepts including linear, quadratic, exponential and logarithmic functions using numerical, graphical, and symbolic representations; sequences; and systems of equations. Students experience these concepts using a problem solving approach with appropriate technology. This course is the first half of MATH104, Intermediate Algebra. The topics covered include linear, quadratic, and exponential functions using numerical, graphical and symbolic representations. Students must complete both MATH104A and MATH104B to have the equivalent of MATH104. Students may not receive credit in both MATH104A and MATH104. This course is the second half of MATH104, Intermediate Algebra. The topics covered include zeros of functions, factoring, graph transformations, systems of equations and logarithms. Students must complete both MATH104A and MATH104B to receive the equivalent of MATH104. Students may not receive credit in both MATH104B and MATH104. This course explores the development of the trigonometric functions. Topics included are radian and degree measures of angles, circular motion, graphing trigonometric equations and oblique triangles. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology. This first course in a two-course sequence provides some of the necessary background to teach mathematics in the elementary school, including such subjects as problem solving, set theory, systems of whole numbers, integers, rational and reals. This course is offered only in the fall semester. This second course in a two-course sequence provides some of the necessary background to teach mathematics in the elementary school, including such subjects as problem solving and logic, real numbers, probability, statistics, plane and solid geometry, transformational geometry and computer applications. This course is offered only in the spring semester. This course explores the concept of functions as models of change. Functions studied include linear, piecewise defined, quadratic, inverse, exponential, logarithmic, power, polynomial and rational. The functions are explored using symbolic, numerical, graphical and verbal representations. Other topics included are concavity, transformations of functions, compositions and combinations of functions and modeling. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology. This course is designed to provide students with a clear understanding of functions as a solid foundation for subsequent courses. Functions studied include exponential, logarithmic, trigonometric, polynomial, and rational. Other topics will include sequences, series and parametric equations. This course starts with a review of the functions needed in the study of calculus. The main topic of this course is differential calculus. Topics included are limits, differentiation, continuity, differentiability, optimization and modeling. In addition, definite integrals and theorems involving definite integrals will also be introduced. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology. This course focuses mainly on integral calculus. Topics included are techniques of integration, applications of the definite integral, improper integrals, sequences and series, approximating functions and differential equations. Numerous applications associated with some topics are also explored. Students experience these concepts using a problem solving approach with hands-on models and appropriate technology.
Secondary Curricula An effective Algebra Readiness program. Our Algebra Readiness curriculum, Carnegie Learning Bridge to Algebra, is designed as a pre-requisite course for Algebra I. Bridge to Algebra improves a student's foundational skills and prepares them for an Algebra I class. Please use the tabs below to learn more about the features and contents of this curricula and its various implementation options. Use the content browser on the left to view videos and image galleries of the curricula. Number Sense and Algebraic Thinking Fractions Operations with Fractions and Mixed Numbers Decimals Ratios and Proportions Percents Integers Algebraic Problem Solving Geometric Figures and Their Properties Area and the Pythagorean Theorem Probability and Statistics Volume and Surface Area Linear Functions Number Systems Transformations Readiness content can be delivered in a blended course format, with a combination of collaborative, student-centered textbook lessons and adaptive Cognitive Tutor software lessons. Can be used as core instruction. Carnegie Learning Algebra Readiness content can be delivered via textbooks that support a collaborative classroom. Our classroom activities address both mathematical content and process standards. Students develop skills to work cooperatively to solve problems and improve their reasoning and communication skills. Our Algebra Readiness content is available in our Adaptive Math Software Solutions, which are packages that feature our research-based Cognitive Tutor Software product line. Available in both the Carnegie Learning Adaptive Intervention Solution and the Carnegie Learning Adaptive Middle School Solution. Each features our Bridge to Algebra and Algebra I content. Documents & Brochures I have learned so much about how to approach the teaching part of math. To foster a student centered classroom and to not give students the answers, they will figure it out on their own and/or with help from their peers, which is often more important than what I can say.
Performs useful calculations such as finding the Area, Common Factors of a set of numbers, Distance between two points, Quadratic Roots, Midpoint, Perimeter, Find all the primes up to and including a number, the slope of a line, and the volume of a cube, cone, cylinder, and sphere.Finds the area of a Rectangle, Circle, Triangle, Oval, Cylinder, Cone, and Pyramid.Formula for each function is displayed at the top of the screen for easy reference. Easy to use, convenient and powerful math program. Great for math class and home work!An easy and convenient handwriting recognition system allows numbers to be entered by just writing on the screen with your finger
MA 125 Intermediate Algebra Gonzalez, Longino quizzes, dialogue, and examinations. The facilitator will engage each learner in what is referred to as disputatious learning to encourage the lively exploration of ideas, issues, and contradictions. Class Assessment: Homework-Mathematics is a discipline that requires hands-on practice to develop the necessary skills and problem solving strategies for success. It is important that the homework/reading and the necessary studying for quizzes/tests be completed in a timely manner. Quizzes-To assess skill level and mastery of concepts. These will serve as review material for tests. Midterm-Includes all concepts from chapters 1, 2, 3, 4, and 8. Final Exam- Includes all concepts from chapters 5, 6, and 9 Grading: Assessment % Homework 25% Quizzes 25% Midterm Exam 25% Final Exam 25% Late Submission of Course Materials: Due to shortness of term, no late work will be accepted and no make-up quizzes/exams will be administered. Make arrangements to be present for all quizzes and exams. If you are absent for a lecture you must make arrangements to acquire notes/homework that you miss. Classroom Rules of Conduct: The mathematics classroom must be an atmosphere where students are comfortable to discuss content and ask questions without fear of ridicule. We will respect the input of all. In today's electronic age, it is not uncommon to see cell phones, laptops, etc. on campus, but all attention must be dedicated to the math concepts at hand. Therefore, I request that all outside correspondence take place only during breaks. Devices should be set on silent mode. Tardiness will not be tolerated. The short term requires a fast pace in order to complete the required material. Therefore, 20 min. late/leaving early will be marked as absent. More than 3 absences (combination of excused/unexcused) will result in drop from class. This would relate to an excessive amount of material being missed and class credit cannot be justified. Course Topic/Dates/Assignments: Week Tuesday Thursday 1 Ch.1-Real Numbers Ch. 2-Linear Equations 2 Q1 (Ch. 1 & 2); Chapter 3-Graphing Equations Chapter 3-Graphing Equations 3 Q2 (Ch. 3); Chapter 4-Systems of Equations Chapter 4-Systems of Equations 4 Q3 (Ch. 4); Chapter 8-Radicals Midterm 5 Chapter 5-Polynomials Chapter 5-Polynomials 6 Q4 (Ch. 5);Chapter 6-Factoring Thanksgiving-No class 7 Q5 (Ch. 6);Chapter 9-Quadratics Chapter 9-Quadratics 8 Review
Course Attachments Textbooks Course Subjects: An introduction to probability and statistics, geometric shapes, constructions and measurement, and the mathematical basis for the use of manipulatives. Prerequisite(s): MATH 2033 with a grade of C or better. Course Expectations Text: A Problem Solving Approach to Mathematics for Elementary School Teachers, 10th Ed., by Billstein, Libeskind and Lott. Calculator: Any calculator may be used during specified times. However, the use of calculators on most quizzes and the tests will be prohibited. Grading Standards Course Evaluation: Suggested homework problems will be assigned but not graded. Instead, the material in the homework will be evaluated by a variety of methods: announced/pop/take-home quizzes, short student presentations (board work), and student participation in small groups. The quizzes/presentations/group work will count as 20% of the final grade. There will also be three In-class Exams which will each count as 20% of the final grade. Finally, there will be a cumulative Final Exam which will count as 20% of the final grade. Test Dates: Please note that the following test dates are tentative and may be changed (except for the scheduled date of the final). Any change will be announced in a timely manner. Exam I --- Tuesday, September 25, 2012 Exam II --- Tuesday, October 30, 2012 Exam III --- Tuesday, December 4, 2012 Final Exam --- Tuesday, December 11, 2012, 8:00-10:00AM Make-ups for exams and quizzes will only be allowed for a university approved excuse in writing. Wherever possible, students should inform the instructor before an exam or quiz is missed. Letter Grades: The final letter grades will be determined by the following scale: A --- 90% and above B --- 80% - 89% C --- 70% - 79% D --- 60% - 69% F --- 59% and below Final Exam 12/11/2012 8:00-10:00AMMake-ups for exams and quizzes will only be allowed for a university approved excuse in writing. Wherever possible, students should inform the instructor before an exam or quiz is missedMSU Student Handbook and Activities Calendar: Students should refer to the current MSU Student Handbook and Activities Calendar for university policies on Academic Dishonesty, Attendance, Student Rights and Activities
This course is designed to engage students in applying the basic concepts of arithmetic to the language of algebra. They will become familiar with the structure and properties of the real number system as they learn to solve linear and quadratic equations, as well as inequalities. Techniques of graphing and factoring will be learned as students work with polynomials, exponents, and radicals. The course also makes use of the TI graphing calculator to facilitate understanding and discovery of the topics covered. The Algebra I course endeavors to demonstrate the relevance and pervasiveness of math and mathematical thinking in today's world. Grades are based on weekly quizzes/tests, homework, class participation, and a final exam, with the approximate breakdown as follows: quizzes/tests: 70%, homework: 150%, and final exam: 20%. Homework is assigned nightly and consists of problems relating to what has been covered. Formal, graded binder checks will be done on quiz and test days (expectations are outlined below). Since much of class discussion is based on homework, it is imperative that students attempt each problem nightly so that they have some context for the discussion. It is expected that students will have something written down for each problem on their homework. It is also expected that students will show all work on their homework paper. Correct answers without proper support may receive reduced or no credit. Following class discussion of an assignment, students are expected to make any necessary corrections to homework problems. BINDER AND SPIRAL NOTEBOOK ORGANIZATION Your binder should be arranged as follows, with all sheets arranged "backwards" so that the most current handouts are on the top: Divider 1 - Assignment Sheets Divider 2 - Class Notes Divider 3 - Tests and Quizzes Divider 4 - Homework Spiral Notebook - I will collect your spiral notebook with your binder. All of your homework is to be done in the spiral. You should label each new assignment (i.e., 1.1 Homework, 1.1-1.3 Quiz Review). To receive full credit for homework, you must show work for those problems which require it. All answers must be correct by the time that I collect your binder on quiz or test day. You should be self-checking the odd numbered questions and we will always review all even numbered questions in class. If your original answer was wrong, you should have circled the question and gone back and made a correction. If you find a question challenging, you should put a star next to that problem when doing it so that you remember to ask me during class. EXPECTATIONS Students are expected to be prepared for class each day. They are expected to arrive on time, dress appropriately, and have necessary materials. Tardiness and dress code violations will be addressed as indicated in the Student Handbook. Students also should be familiar with the details and implications of the Honor Code and the Academic Honesty Policy. Missed graded work must be made up within TWO days of a student's return to class. A zero will be given on assignments or quizzes that are not taken within a reasonable period.
Mission Statement The mission of the Mathematics Department is to meet the mathematics needs of all Butte College students by offering quality mathematics instruction. Our department serves three primary groups of students: developmental, transfer, and STEM majors. Through our commitment to excellent teaching in a supportive environment, our students develop mathematical expertise, comprehension, and confidence. Another mission is to accelerate students in developmental math classes as quickly as possible, concluding their math courses with a passing grade in a transfer-level math class within two years of starting at Butte College. Program Description The mathematics department offers a comprehensive two-year program leading to an Associate of Science Degree in Mathematics. The submission of the AS-T in Mathematics will be complete spring 2013. The major is designed for students who will transfer to a four-year institution to pursue a degree in mathematics. The program allows the students to transfer with all of their freshman and sophomore requirements completed. The mathematics department also offers courses designed as general education courses for other majors (Business, Liberal Studies, etc.) and a complete developmental and basic skills program for students who need remediation before entering a transfer-level mathematics course. Recently, nearly every section of math we offer, from developmental math through calculus, are at or over 100% capacity with full wait lists. Most math classes offered on the main campus are scheduled in the Technology (TE) building. The TE building has nine classrooms and a math-only computer lab, used for Math 217 classes and is available as a drop-in lab to all Butte students taking a math class requiring online homework. For one year, we have been allowed to schedule classes in LB-105. We have continued the use of Supplemental Instruction (SI) in Math 31 and have greatly expanded the use of SI in all of our Math 217 sections. Two classrooms (TE-104 and TE-106) have high-end Wolf Vision cameras. Beyond the main campus, we schedule 16-17 classes at the Chico Center, 17-19 classes in the evenings at Chico State, 5 classes in Glenn County, and one class in Paradise. We currently offer 18 sections of math during the summer. Future Development Strategy Strategy 1 Initiatives Focusing on student success Supporting Rationale Supporting Rationale Alignment Strategy 2 Initiatives Focusing on student success Supporting Rationale Supporting Rationale Alignment Strategy 3 Initiatives Focusing on student success Supporting Rationale Supporting Rationale Alignment Strategy 4 Initiatives Focusing on student success Supporting Rationale Supporting Rationale Alignment Required Resources The Technology Building needs to be remodeled. This has been confirmed and approved by every level of administration up to the President. Our math department along with Facilities has met with state architects to redesign the building. We are ready any time. Until the remodel happens, the Technology building will continue to be the least student/teacher-friendly building on Butte's campus. Of the nine TE classrooms, only four (104, 105A, 106, and 128) are properly outfitted with 35-40 desks and smart-room technology. Two other rooms (110 and 111) contain smart-room technology, but use some folding chairs to make the cap of 35 because of the room layout. Two other rooms (116 and 118) contain smart-room technology, but only seat 32, while our final room (105B) has no smart-room technology and a room cap of 30. We continually ask other departments at the beginning of each semester to use spare rooms to hold our overflowing classes. The math department was able to schedule classes in LB 105 for 2012/2013 and we ask to continue to be able to schedule math classes in that room. With talk of not using Chico State to staff evening math classes and the likelihood of the Chico Center closing all day on Fridays, our access into the Chico area is being compromised. The brand new Skyway Center is underused and we are asking to have full access to one or two rooms, outfitted with ample whiteboard space and a quality camera/projector. The following are other upgrades to the Technology building that would improve the mission of our department: The women's restroom needs to be expanded or swapped with the men's restroom. It is severely inadequate for the amount of daily traffic that comes through the Technology building. The HVAC in some rooms shuts down when adjacent rooms are unoccupied. This is due to two rooms sharing one thermostat. Sound-proofing is needed between adjacent classrooms, offices, and restrooms. There continues to be leaking through the ceiling every winter. Damaged ceiling tiles (due to leaking) need to be replaced in many of the classrooms. The Technology building needs to be renamed Mathematics. All signage would need to be replaced. The rooms need to be re-numbered into a more logical pattern. ii. Other One-Time Requirements (non-recurring requirements for equipment, projects, etc. needed to meet the development strategy) We are requesting an upgrade to our smart room equipment. The document cameras purchased originally are sub-standard. They do not allow 90-degree image rotation, the lighting is either too dark or displays a glare, and they don't focus when zoomed in. Therefore, we are requesting an upgrade to high-end Wolf Vision cameras in seven rooms (105A, 105B, 110, 111, 116, 118, and 128). The cost for each camera is $3100. Keep the Technology building open until 2:30pm on Friday's to accommodate the five classes that continue to meet. It currently closes at 1:00pm. Reinstate the department secretary to a 12-month position. We offer 18-20 sections of math each summer and the transitions from spring to summer and from summer to fall semesters requires secretarial support. We continue to have a strong need for student graders. Our department expectation is that every math instructor assigns daily homework that must be collected and graded. The volume of paper that must be administered can only be dealt with adequately if we have student assistants help grade. Even with many instructors using online homework, the majority of our associate faculty and about half of our full-time faculty still depend on graders. We need a coordinator for the Self-Paced Remediation program that began fall 2012. This program is based on the web-based math site, MyMathTest. The coordinator will be the administrator who will work individually with students as they work through the self-paced modules and assessments. We are requesting a $3000 per year stipend for this position. On-going funding of the computer lab to hire student assistants, math tutors, proctors, and instructor release time will need to be institutionalized. We are hoping to expand the use of the computer lab in the tech building to serve as a working space for students to do online homework and work on developing basic math skills using a dedicated online math service (MyMathTest). The lab will need to be staffed with faculty and student assistants in order to service the students using the lab. At first faculty can use office hours as time spent in the lab helping questions. But we also need student math tutors to help students in the lab. We are requesting funding for 50 hours a week of student assistants. The lab will be open for drop-in service 25 hours per week, having two student assistants serving as tutors. Student assistants would also be expected to serve as test proctors and homework graders as needed. The expense for student assistant coverage is $2048 per semester (16 hours per week, 16 weeks, $8 per hour). The Supplemental Instruction (SI) program, coordinated by April Hennessy in CAS, has been shown to increase student success in courses in Mathematics, specifically Intermediate Algebra (SP10, FA10); Calculus II (FA09 through SP13); Calculus I (SP12); and Statistics (SP12). Each semester the program grows in terms of student participation, but is limited by funding to hire and train student SI leaders. This program supports several strategic initiatives, most prominently "Focusing on Student Success." Unlike tutoring or other learning assistance, SI fosters interdependence among students and independent study skill development that support student success beyond the individual course, instructor, or SI leader. We are happy to hear that a new CAS position will be created and filled by fall 2013 that includes a full-time SI coordinator. Our full-time faculty has been reduced to eleven with the departures of Faina Goberstein and Dave Dully. We are fortunate to have been given the opportunity to hire two full-time replacements to be ready by fall 2013. Our part-time faculty count currently stands around 30-32. We hired six new part-time instructors in 2012/2013 and look to hire 2-4 more in fall 2013. Current Revenue Stream Our budget is the only source of guaranteed revenue for the math department.
Use Wolfram\|Alpha to Solve Calculus Problems and…... Use Wolfram\|Alpha to Solve Calculus Problems and… Everything Else. Wolfram\|Alpha is like Google on crack. However, it is not technically a search engine; it is a "computational knowledge" engine. They use a huge collection of trustworthy, built-in data to get the user the information or knowledge they are looking for. When you search for an item, Wolfram\|Alpha gives you all of the relevant knowledge they have on that specific search query. For example, here is the results for the search "when did the Beatles break up?" Not only do you get the date the Beatles broke up, you also get how long away that date is from today and other noteworthy events that occurred on the same day. Here is another example, for the search "carbon footprint driving 536 miles at 32mpg" that tells you the amount of fuel consumed and the amount of c02 and carbon emitted. Because Wolfram\|Alpha is just retrieving answers from its huge database of information and formulas, you have to be specific and ask non-opinionated questions. For example, the website does not know which Lil Wayne song is the best. However, it does know things that are not opinions, like the nutritional facts of 10,000 big macs and how many planes are currently flying directly over you. I find Wolfram\|Alpha to be better than Google when I am quickly looking for specific answers. I just typed in "Countries that border France" on both Wolfram\|Alpha and Google. Wolfram\|Alpha quickly showed me a list of the 8 countries and a map with of France with its bordering countries highlighted. Google on the other hand sent me over to Yahoo Answers… Other than a fun search engine, Wolfram\|Alpha can also be used as a highly effective tool for college. Like the title mentions, the knowledge engine can in fact solve any calculus problem. It can easily solve any math problem thrown its way, from a basic algebra problem to whatever this is. Wolfram\|Alpha can also be used for many other college courses such as biology, astronomy, history, etc. As Wolfram\|Alpha can be kind of confusing and hard to get the hang of at first, I suggest going through this short tour and looking at some examples to help give you a better sense of how to use it. Even if you find it a little bit confusing at first, keep trying because Wolfram\|Alpha really is a great way to "hack college." ABOUT THE AUTHOR Logan James Ivey is a sophomore at the two year school of Sierra College located in the beautiful foothills of California. His plans are to transfer to the University of California, Davis as an international relations major and perhaps double major or minor in economics. In High School he enjoyed making yearbooks and short films in his Multi Media class. Logan's other interests include rivers, the Internet, becoming strong and listening to hip hop music. You can learn more about this amazing boy by following him on Twitter or Google +

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