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Overview: This lesson is targeted at college students in MATH4625. They have learned about matrices in linear algebra but may have forgotten how to do some of the simple calculations along with matrix multiplication, and inverses. The lesson expands on high school level introduction to matrices, introducing 3x3 matrices, Gauss-Jordan Elimination, inverses, graphical connections, and more. Goals: To expand students' knowledge about solving linear systems of equations with three unknowns using the method of matrices. We will also apply different problem solving strategies such as matrix inverses, augmenting matrices, and the TI-Nspire calculator applications. Convince students that proper knowledge of matrix operations is a very useful tool when solving for 3+ equations and 3+ unknowns and is much more time efficient than previous strategies, then we will help the students discover the geometrical connections and connections between Gaussian elimination and inverses. DM.6. The student will solve linear programming problems. Appropriate technology will be used to facilitate the use of matrices, graphing techniques, and the Simplex method of determining solutions. MA.11. The student will perform operations with vectors in the coordinate plane and solve real-world problems, using vectors. This will include the following topics: operations of addition, subtraction, scalar multiplication, and inner (dot) product; norm of a vector; unit vector; graphing; properties; simple proofs; complex numbers (as vectors); and perpendicular components. MA.14. The student will use matrices to organize data and will add and subtract matrices, multiply matrices, multiply matrices by a scalar, and use matrices to solve systems of equations Represent and analyze mathematical situations and structures using algebraic symbols: · Write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency—mentally or with paper and pencil in simple cases and using technology in all cases · Use symbolic algebra to represent and explain mathematical relationships Use mathematical models to represent and understand quantitative relationships: · Identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships Process Standards: ProblemSolving: After learning various ways to solve a problem involving matrices and vectors, students should decide which approach works best for the final word problem. Connections:Students will make new connections or strengthen their previous understanding of matrices and vectors when solving real world problems. Students will also make technological connections to the TI-Nspire. Communication:The think-pair-share group activities will require positive communication between both peers and teachers in order for everyone in the group to obtain a solid understanding of the material covered. Representation: Students will learn and understand what is happening graphically during Gauss-Jordan elimination, and will learn to visually represent how a matrix transforms a vector. Materials and Resources: Smart Board or computer linked projector TI-Nspire Pencil and paper Whiteboard Procedure: Roughly 40-45 minutes is needed for this lesson. Starter Problem- (3 minutes) At the beginning of class the students will be given a system of equations to solve. This can also be used as a think-pair-share activity if students in a group are having difficulties. The teachers can walk around from group to group checking on the groups' progress or help lead them in the right direction. STARTER PROBLEM: Given the following system of equations, solve using elimination or substitution. x + y = 3 3x + 2y + z = 7 -x + 4y = 2 Solution: (2, 1, -1) Teacher will then talk about turning a system of equations into a matrix and then we'll explore the different ways in which matrix problems can be solved. (2 min) Start class discussion as to the methods of solving a matrix equation (5-10 min) -"What are some methods you guys might use to solve this matrix equation?". Have students work through the methods. Then have student/students come to the board and explain their processes. (10-15 min) If no one comes up with the inverse we, show them that the same process is used with this method. Begin graphical representation of concepts. Draw picture on board. "Matrices do what to a point?" [transform] Tell them why the Gaussian method works. "Why does the inverse method also work?" Think about what an inverse does to a matrix or to any function. (3 minutes) Show how the TI-Nspire can be used to solve these types of problems. Give students the "John Problem" for a think pair share. The problem states: John inherited $25,000 and invested part of it in a money market account, part in municipal bonds, and part in a mutual fund. After one year, he received a total of $1,620 in simple interest from the three investments. The money market paid 6% annually, the bonds paid 7% annually, and the mutually fund paid 8% annually. There was $6,000 more invested in the bonds than the mutual funds. Find the amount John invested in each category. (Credit given to this website). Teachers will go around the room such as the first time to check groups' progress and help any strugglers, but students should be setting up the system of equations and converting it to a matrix. They will then use the Nspire to do both inverses and reduced-row echelon form. The teacher will explain the different key strokes for setting up and solving matrices with the TI-Nspire. (15 minutes) Summarize the different ways we can solve a system of equations and efficient strategies for certain distinct problems. Answer any final questions the students may have or clear up any cloudy information (3 minutes) . Other Useful Information: Podcast - Using the TI-Nspire to work with matrices (*Note: This file is .m4v)
Essential Mathematical Methods for Physicists 9780120598779 ISBN: 0120598779 Pub Date: 2003 Publisher: Academic Pr Summary: This new adaptation of Arfken and Weber's bestselling Mathematical Methods for Physicists, Fifth Edition, is the most modern collection of mathematical principles for solving physics problems. Additional explanations and examples provide models and context for methods applicable to a wide range of physics theories and applications. Features: · Many detailed, worked-out examples illustrate how to use and apply mathema...tical techniques to solve physics problems · Frequent and thorough explanations help readers understand, recall, and apply the theory · Introductions and review material provide context and emphasis on key ideas · Many routine exercises reinforce basic, foundational concepts and computations "True to the title, this new text achieves a comprehensive coverage of the "essential" topics in mathematical physics at the undergraduate level. This new version is filled with enlightening examples, which is the key to undergraduate teaching . More importantly, many examples are real problems from various fields of physics. Illustration of the mathematical principles behind the solution of these problems further enhances the connection between this course and other courses in a physics curriculum. " David Hwang, University of California at Davis Weber, Hans J. is the author of Essential Mathematical Methods for Physicists, published 2003 under ISBN 9780120598779 and 0120598779. Seven hundred thirty seven Essential Mathematical Methods for Physicists textbooks are available for sale on ValoreBooks.com, one hundred twenty seven used from the cheapest price of $27.75, or buy new starting at $37Corners/spine lightly worn/bent, covers lightly scuffed, copyright page lightly stained, front fly/first few pages lightly stained/creased at right top corner, text pages clean/tight/bright
Document Actions Problem Sessions Spring 2014 Hours & Topics The Dolciani Mathematics Learning Center offers a Problem Session Series in each of five different courses. Each of these series is offered several times each week, day and evening hours, as well as Saturdays. Facilitators are experienced instructors and tutors. MATH 125 (Pre-Calculus) In these sessions we discuss and explore the concepts in pre-calculus. Questions posed in the session are designed to help you tune up the critical thinking and problem solving skills needed to be successful in MATH 125. MATH 150 (Calculus with Analytic Geometry) These sessions are conducted with small group activities. The problems presented will help you develop your calculus skills and help you better determine what you understand and what will require more work.
0387406nomials (Problem Books in Mathematics) The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems. In addition, 69 "explorations" invite the reader to investigate research problems
So far, I have videos for the following seven courses: Single Variable Calculus, Multivariable Calculus,Differential Equations, Statistical Methods,Fundamentals of Mathematics, Functions of a Complex Variable, and Introduction to Number Theory. Precalculus is planned.
Mathematics Course Descriptions MATH 0013 Pre-Intermediate Algebra - A course to teach the basic ideas in theory and application of several areas of mathematics. The student will be prepared to complete Intermediate Algebra. Course covers real numbers, simple algebraic expressions, linear equations in one variable and consumer multiplication. This course does not count as a degree requirement. MATH 0123 Intermediate Algebra - A course designed to meet the curriculum deficiency for beginning freshmen or transfer students. The course includes elementary algebra to give the student an adequate mathematical background. This course does not count as degree a requirement. MATH 1313 Statistics - Designed to introduce the non mathematics student to the techniques of experimental statistics, to furnish the background necessary to conduct research, and to read and evaluate associated literature. Will not satisfy general education requirements. MATH 1403 Contemporary Mathematics - Offers an overview of traditional algebraic topics using an applied format. An alternative to College Algebra, Contemporary Mathematics will satisfy the general education mathematics requirement. Students planning to take courses that have MATH 1513 College Algebra as a prerequisite SHOULD NOT TAKE CONTEMPORARY MATHEMATICS since it WILL NOT SATISFY ANY COLLEGE ALGEBRA PREREQUISITES. MATH 1513 College Algebra - Designed to provide techniques and concepts necessary to study applications in various fields. Course fulfills general education requirement. Pre: Curricular requirements from high school. MATH 1715Precalculus - This course covers various topics in algebra and trigonometry and is suitable for students preparing for Calculus. Algebra topics covered include: equations and functions (polynomial, rational, radical, exponential, logarithmic), graphing and solving equations, systems of equations, and elementary sequences and series. Additional topics in trigonometry include: trigonometric functions and inverses, graphs of trigonometric functions, trigonometric identities, law of sines, law of cosines, trigonometric form of complex numbers, and applications. Pre: cirricular requirements from high school MATH 2215 Analytic Geometry and Calculus I - Introduction to theory and applications of elementary analytical geometry and calculus including theory of limits, differentiation and integration. Pre: MATH 1613 or permission of the mathematics department. MATH 2315 Analytic Geometry and Calculus II - A continuation and extension of 2215 including techniques of integration, infinite sequences and series, and parametric and polar coordinates. Pre: MATH 2215 or permission of the mathematics department. MATH 3013 Linear Algebra - Fundamental concepts of the algebra of matrices, including the study of matrices, determinants, linear transformations, and vector spaces. Pre: MATH 2315 and MATH 3513 or permission of the mathematics department. MATH 3033 Theory of Probability and Statistics I - Probability as a mathematical system with associated applications to statistical inference. Pre: MATH 2315 or permission of the mathematics department. MATH 3042 Mathematics Technology - This course will introduce students to several types of mathematics technology. In particular, students will be introduced to graphing calculators, computer software such as Mathematica, Derive, Smart Notebook Math Tools, Microsoft Excel, and Equation Editor. The course is designed to help students learn and understand mathematics with the aide of technology. The technology will be used to help illustrate various applications of mathematics, including solving equations, graphing equations, trigonometry, elementary statistics, and calculus. Students will gain experience using technology to present mathematics topics as well as use technology to produce technical mathematics writing. Prerequisites: MATH 2215 Calculus I or permission of the department. MATH 3323 Multivariable Calculus - A continuation and extension of Calculus I and II to Euclidean 3-space. Pre: MATH 2315 or permission of the mathematics department. MATH 3353 Introduction to Modern Algebra - Fundamental concepts of the structure of mathematical systems. Group, ring, and field theory. Pre: MATH 2315 and MATH 3513 or permission of the mathematics department. MATH 4533 Mathematics Models and Applications - A study of the foundations of model building. Applications of advanced mathematics. Computer algorithms and practical evaluation of models. Pre: MATH 2315 or permission of the department. Mathematics Area of Concentration for Elementary Teachers (These classes will NOT satisfy general education requirements and will NOT count as electives for math majors) MATH 2233 Structural Concepts in Arithmetic - A modern introduction to the real number system and its subsystems. MATH 3203 Structural Concepts in Mathematics - A modern introduction to probability, statistics, geometry and other related topics. Pre: MATH 2233 or permission of the mathematics department. MATH 3223 Geometry for Elementary Teachers - Introduction to geometric concepts to provide a superior mathematical background for elementary teachers. A generalization and extension of intuitive Geometry studied in MATH 2233 and MATH 3203. Pre: MATH 3203 or permission of the mathematics department.
Pattison, TX SAT stories: * A 6th grader struggling with grammar and math improved her 'C' to 'A-' * A high school student who was scared of even attempting her math quizzes and exam conquered her lifelong fear of math within three months and did well on her final exam * An MBA student scored well oStudents learn to construct graphs of linear and quadratic functions and to use graphs to solve problems. Students are given opportunities to work with concrete manipulatives, to utilize calculator and computer technology, and to apply algebraic thinking and problem solving to everyday life. Algebra II extends the concepts of Algebra I to a more formal level.
Created by Jenny McFarland and Tom Murphy at Edmonds Community College, this site presents a coordinated studies course quantifying and incorporating biology and genetics into anthropology. Here, visitors will find... 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,... The Geometry Center at the University of Minnesota has created these learning modules, which ?emphasize geometric concepts of calculus while examining applications of mathematics to the physical and life sciences.? Eac... George Mason University?s Department of Computer Science is responsible for this great elementary calculus site. Each topic presented on this site contains learning objectives, definitions, examples, diagrams, and e... Created by Thomas Murphy and Kerrie Murphy of Edmonds Community College, this lesson describes the LEAF School, which combines academic instruction employing service-learning with an AmeriCorps program so that students...
This algebra unit from illuminations provides an in depth exploration of exponential models in context. The model of light passing through water is used to demonstrate exponential functions and related mathematical... This interdisciplinary lesson uses musical terms and concepts to teach algebra and geometry. Students will analyze musical scales and frequencies generated by a geometric sequence, and relate sine waves to musical... This interdisciplinary lesson ties earth science concepts in with algebra. The forest-fire danger rating index is applied to a mathematical model. Students will learn real-world meaning of the intercepts and slope in... This lesson will help students understand the law of cosines and the Pythagorean theorem. The material has students find out whether a triangle is acute, obtuse, or right; determine a formula for the law of cosines to... This lesson from Illuminations helps illustrate recursive sequences. The interdisciplinary lesson uses elements from the short story The Devil and Daniel Webster by Stephen Vincent Benet. A mathematical game has been...
Notes: Total Class Cost: $235.00 This course will reinforce basic mathematics concepts and progress through the first course in algebra. Topics covered but not limited to are: the operations on real numbers, simplifying and translating expressions, solving various types of equations and application problems, graphing concepts, exponents, radicals and introduction to factoring. Successful completion of the course depends on the student's mastery of assigned objectives, assessed by both pencil and paper exercises and a website that helps develop a student's math skills. Prerequisite: placement into Math 91 or 95. Lunch will be taken from 12:00-1:00 pm. Course materials will be discussed first day of class. No class on 7/4/14 in observance of Independence Day.
Book DescriptionEditorial Reviews From the Author This workbook is organized around a simple and easy-to-follow five-step study program: 1. Know what to expect on test day. 2. Become testwise. 3. Learn special math strategies. 4. Review SAT I math topics. 5. Take practice exams under test conditions. As you work your way through this book you will find: * Hundreds of practice SAT I type math questions with detailed solutions * Special math strategies that will help you get the right answers * All the math you need to know for the SAT I, conveniently organized into sets of easy-to-read lessons * "Tips for Scoring High," which will help you develop speed and accuracy * SAT I math practice tests with complete solutions * "Quick Review of Key Math Facts"--an instant summary of important SAT I math concepts --This text refers to an out of print or unavailable edition of this title. From the Back Cover [back cover] Effective March 2005, the math section of the SAT has been restructured and expanded in content. This thoroughly updated and comprehensive workbook offers test takers the best SAT math preparation available anywhere by keeping pace with all test changes. You'll find special math strategies to help you approach unfamiliar question types, as well as new content from third-year college preparatory math. Exercises include hundreds of multiple-choice and "grid-in" questions with worked-out solutions. Reflecting the new test format, this valuable workbook places special emphasis on Algebra II topics and questions based on expanded math content. This brand-new third edition provides everything you need to achieve a high score on the revised SAT math section. I've taken my SATs May of 2003, and October 2003. I scored 740 for May SAT and achieved 780 for October SAT. This book is one of the best books for mathematics. It depends on how well you use this book. Anyways, I'll tell how i used this book. First week: I bought the book, went over the concepts, structures, tricks, strategies, one of 10 REAL SATs practice exam to know what score i would rank, read through beginning stuff. Second week: Starting this week, I work on chapter 3, which deals with arithmetic skills and concepts. There are 8 lessons in chapter 3. I did 2 lessons a day starting Monday, and then Friday, I relax and review the lessons I've practiced. When you study, you must MASTER the concepts. Knowing the concept does not help. Third week: There are 7 lessons in Chapter 4 which deals with Algebra. I do two lessons a day, for 4th day, when I only do 1 lesson, I work on my weaknesses in Chapter 4. Then 5th day, I review and study. When review, review lessons from previous chapters so that you won't forget. Fourth week: There are 5 lessons in Chapter 5. I work 2 lessons a day, and then I review and study as usual. Fifth week: Chapter 6 deals with Geometry, which was one of my weaknesses. So I decided to learn 1 lesson a day since there are 8 lessons and SAT strongly emphasizes a lot on geometry. So fifth week, I've done 4 lessons, one lesson each day. 5th day, I reviewed. Sixth week: I've continued and finish last 4 lessons and reviewed as well Seventh week: I went back to my routine plan and studied two lessons a day, and then reviewed. Eighth week: I worked on Chapter 8, last chapter before practice exams. 5 lessons, study. 9th week: Then after I've studied these chapters, I go over and review all the problems, questions, concepts from previous chapters. I review chapters 3-5. 10th week: Same as 9th week but I reviewed chapters 6-8. 11th and 12th week. I took practice exams to familiar myself with the exams. After you see the score you've got, go to problems and check to see if you made a mistake because you weren't careful enough. Then assume that it's correct and check your score again. For instance, You got 630 on practice exam but if you didn't make stupid mistakes, what could you have gotten?, 650? 700? From this point, you're pretty much set for SAT Math. Note that I'm one of the biggest slacker with horrible English skills who's from Korea and still get high score. I am NOT a genius or some nerd. I received grades of Bs and Cs in mathematic courses in past and if I can pull this off, you can. This is a 3 month plan I've made beginning of junior year. My parents told me that cramming does not work and that I should space out studying to learn more effectively. I am a fan of Bruce Lee and he has stated long time ago that "I fear not the man who has practiced 10,000 kicks once, but I fear the man who has practiced one kick 10,000 times." This means that you shouldn't assume you know the concept just because you've solved few easy problems. You should apply the concept as many times as you can and do them properly. People say "practice makes perfect". It does not. PERFECT practice ALMOST makes perfect. You'll never get your goals to be perfect if you don't practice it properly and people make mistakes once in a while, so nobody is perfect. In Psychology, It shows that spaced practice and overlearning helps for studies because overlearning and spaced practice puts your learning to long-term memory where it wont' decay for a long time. When I say review and stdy everytime, it means, know the concept really well and master them by applying them as much as possible to every problems. When i say two lessons, it means, solve every problems in those lessons. I've also used Kaplan Math Workbook for practice problems to strengthen my concepts. I've studied previous chapters When I was studying chapters 4/5/6/7/8 to prevent my brain from forgetting. I used this method to tutor students also as well. It worked for my studnets. I've raised most students' scores. My best student raised his score from 580 to 720, then he quit learning from me after 3 months, learned on his own from knowing this method for 2 months, and achieved 800. Student getting higher than a teacher? If I can do this, anyone can.Read more › It does not surprise me that a SAT Prep teacher does not care for this book. If more students bought and used this book, their math score would improve dramatically and the SAT prep teachers would be out of business. Would I rather spend 225 dollars on a course for improving my score or 15 dollars for a book to do the same. I chose the book and boy did it work. I bought this book and used it for about 2 months prior to my second SAT. I knew I should have spent longer time with it, because I wasnt able to get all the way through this in-depth book. Yet I improved my math score by 105 points just by using this book only half of the way through. Imagine if I had the time to read the whole book! I am really impressed with Barron's. I strongly urge this for anyone who is looking to improve their SAT math skills....Oh and when I took the actual SAT I recognized about 90% of the math problems from the Barron's book. So yes it does help tremendously. I've only completed 50 or so pages in this workbook, but it has immediately covered many of my weaknesses. Although this book is helpful to all (except for the very low or very high scorers,) I think it will be most beneficial to those who are currently in the 600's. I highly recommend this book. Barron is always the best study tool for the SATs, and this math workbook is tremendously helpful. It not only gives you a million math problems to work through, it tells you little tricks and approaches to the math problems. Plus, you get explanations for all the problems. It's terrific, and helped me a lot. I highly recommend this book. I first took the SATs in May of my Junior year. I got a 640 on the math. I then bought Barron's Math Workbook (2nd Edition), along with the College Board's 10 Real SATs, and re-took the test in December. My math score improved 120 points--- I received a 760. This book is very thorough and effective, the questions have understandable answers, and it also offers good tips. However, I would strongly recommend getting the College Board's book in addition to this one, as the practice on real tests in invaluable. I'm an SAT tutor that actually takes the SAT three times a year. This is a great book and I wish all my students had the discipline to use it. The complaint from the other SAT tutor is not relevant to the objective of raising your score (which if you are scoring in the 500's can easily go up 100 points if you use this book in conjunction with the eight practice tests in the College Board Official Study Guide). This book remediates your math skill weaknesses which is the first step in preparing for the SAT math section. Once completed, (just the sections you are weak or rusty in)then dive into the eight practice tests in the College Board book which combine math reasoning with math skill. My other favorite resource for my students is Acing the New SAT I Math by Greenhall Publishing---an excellent resource to use by itself or in combination with Barron's. It's actually more comprehensive than Barron's and ideal for the student that is looking for a challenge and a score over 650. I would do the Barron's book first and then the Acting the New SAT I Math for each math section. Have fun! This book really helped me review for the math section of the SAT. It covers every type of question and gives a thorough review of every math concept you will need to know for the SAT. I highly recommend this book if you are looking to raise your scores significantly.
Ratings Overall Rating: This is a collection of over three dozen animations of standard calculus and differential equations topics that are enhanced by visualization; the main sections include limits, derivatives, Riemann sums, multivariable Calculus, numerical methods and Statistics. All files are uncompressed avi files; for most animations, MathCAD code is available. Learning Goals: To enable students to gain a visual as well as conceptual understanding of selected mathematical concepts Target Student Population: Students in freshman and sophomore calculus and differential equations classes. Prerequisite Knowledge or Skills: Pre-calculus. Additional calculus for the advanced animations; elementary statistics for the Statistics animations. Type of Material: Animations Recommended Uses: Classroom demo and introduction of concepts Technical Requirements: Video player such as Quicktime or RealPlayer Evaluation and Observation Content Quality Rating: Strengths: This collection of animations includes a number of common math topics that benefit from visualization. "A picture is worth 1000 words" is quite apropos for this site. Animations on limits, derivatives and Riemann sums are valuable for beginning Calculus students; the multivariable animations are excellent for advanced Calculus students. Concerns: None Potential Effectiveness as a Teaching Tool Rating: Strengths: As indicated by the author in his introduction, these animations provide a most effective means by which to introduce and illustrate dynamic mathematical concepts. The animation topics are well-chosen and cover a variety of subjects. Concerns: The animations, while able to stand alone, are best used with instructor preview and oversight. Students who were unfamiliar with the concepts involved would most likely have difficulty in understanding the import of the animations. Ease of Use for Both Students and Faculty Rating: Strengths: The animations run smoothly in RealPlayer and Windows Media Player. The ability to stop the movie and play again is helpful for examining specific values of the variables involved. Concerns: The author warns that some of the .avi files are quite large (over 5MB) and that it is best to first download a file and then view it since plug-ins slow down the process and sometimes also display the animation at the wrong size, which leads to de-rezzing or illegible text. However, this reviewer experienced no difficulty when running the applets directly from the host server. A high-speed Internet connection would be helpful for the larger files
TI-84 Plus Keyboard Basics The row of keys under the calculator screen on the TI-84 Plus keyboard contains the keys you use when graphing. The next three rows, for the most part, contain editing keys, menu keys, and arrow keys. The arrow keys control the movement of the cursor. The remaining rows contain, among other things, the keys you typically find on a scientific calculator. Keys on the calculator are always pressed one at a time; they are never pressed simultaneously. An instruction such as [2nd][ON] indicates that you should first press [2nd] and then press [ON]. Access the TI-84 Plus functions in blue Above and to the left of most keys is a secondary key function written in blue. To access that function, first press y and then press the key. For example, is in blue above the key, so to use in an expression, press [2nd] and then press that key. Use the TI-84 Plus [ALPHA] key to write words Above and to the right of most keys is a letter written in green. To access these letters, first press [ALPHA] and then press the key. For example, because the letter O is in green above the [7] key, to enter this letter, press [ALPHA] and then press [7]. You must press [ALPHA] before entering each letter. However, if you want to enter many letters, first press [2nd][ALPHA] to lock the calculator in Alpha mode. Then all you have to do is press the keys for the various letters. When you're finished, press [ALPHA] to take the calculator out of Alpha mode. For example, to enter the word TEST into the calculator, press [2nd][ALPHA][4][SIN][LN][4] and then press [ALPHA] to tell the calculator that you're no longer entering letters. Use the TI-84 Plus [ENTER] key The [ENTER] key is used to evaluate expressions and to execute commands. After you have, for example, entered an arithmetic expression (such as 5 + 4), press [ENTER] to evaluate that expression. In this context, the [ENTER] key functions as the equal sign. Use miscellaneous TI-84 Plus keys is the key you use to enter the variable in the definition of a function, a parametric equation, a polar equation, or a sequence. In Function mode, this key produces the variable X. In Parametric mode it produces the variable T; and in Polar and Sequence modes it produces the variables and n, respectively. The arrow keys control the movement of the cursor. These keys are in a circular pattern in the upper-right corner of the keyboard. As expected,
This site provides a rich environment to visualize and explore a variety of mathematical objects and includes Java applets,... see more This site provides a rich environment to visualize and explore a variety of mathematical objects and includes Java applets, Quicktime movies and pdf descriptive documents of the mathematics involved in the objects displayed. It will reward considerable exploration but is not for the mathematically faint of heart. This is a page of links to several different learning/teaching materials, including: an extensive laboratory manual of... see more This is a page of links to several different learning/teaching materials, including: an extensive laboratory manual of computer activities for calculus in pdf format, a page of animations in various calculus subjects produced by Mathcad 6.0 but viewable in most browsers, an interactive tutorial in infinite series and an interactive test in integration techniques. While this site is described here as primarily "Lecture/Presentation," unquestionably parts of it would serve well for "tutorial" purposes and even "drill and practice.״The Wolfram Demonstrations Project--Calculus is an open-code resource that uses dynamic computation to illuminate concepts in... see more The Wolfram Demonstrations Project--Calculus is an open-code resource that uses dynamic computation to illuminate concepts in calculus. Its daily-growing collection of interactive illustrations is created by Mathematica users from around the world, who participate by contributing innovative Demonstrations. The free Mathematica Player is required to view the demonstrations; there are 166 at present. Mathway is a mathematics problem solving tool where students can select their math course - Basic Math, Pre-Algebra, Algebra,... see more Here is a demonstration of the flow of a vector field. You may choose a vector field from the pull down menu. In the graphing... see more Here is a demonstration of the flow of a vector field. You may choose a vector field from the pull down menu. In the graphing area, select a rectangular region by clicking and dragging. When you release, you will see how the rectangle moves under the flow. The change in the area of the rectangle is described by the divergence of the vector field while the rotation of the sides is described by the curl. This applet allows a person to test several numerical integration approximation methods by having the user fill out theleft... see more This applet allows a person to test several numerical integration approximation methods by having the user fill out theleft and right endpoint fields, type in the formula, select the method, and pressing the calculate button. For example trytyping in -1 for the left endpoint, 1 for the right endpoint, and y=x^2 for the formula then press calculate. For each method selected, the estimated integral for that method will appear in the text area at the bottom. Certainfunctions will also appear on the graph on the left. The java graph class is still experimental and does not use equalstretch principles. y = x2 from -1 to 1 will appear the same as y = x2 from -100 to 100. Thousands of FREE, short, online videos that are focused on explaining and modeling the learning of specific topics in math... see more Thousands of FREE, short, online videos that are focused on explaining and modeling the learning of specific topics in math (basic arithmetic and math to calculus), statistics, biology, physics, chemistry, finance, and other topics. The topics cover K-12 levels and higher education. The simple and clear presented information enables learners to see and review the topics and how to solve the problems at their pace with as much practice as they wish. In particular there are over a thousand videos just for mathematics. The site also contains a handful of interactive mathematics learning objects that are of the drill and practice type.
Mathtutor - The Algebra Word Problem Tutor ( Extabit - Rapidgator ) Description The Algebra Word Problem Tutor is a 6 hour course spread over 2 DVD disks that will aid the student skills needed to master Algebra Word Problems. Word problems are frequently hard for students to master because you have to learn how to extract the information out of the problem and decide how to proceed with finding the solution - and there are usually many ways to do this! This DVD course teaches by examples how to set up algebra word problems and solve them. It is applicable to any Algebra course, SAT, GRE, and other standardized testsJava 7 Recipes: A Problem-Solution Approach ( Netload - Rapidgator ) "Managerial Economics: A Problem Solving Approach is a breath of fresh air. MBAs Teach your MBA students how to use economics to solve business problems with this breakthrough text. Froeb/McCann's MANAGERIAL ECONOMICS: A PROBLEM SOLVING APPROACH, 2E covers traditional material using a problem-based pedagogy built around common business mistakes. Models are used sparingly, and then only to the extent that they help students figure out why mistakes are made, and how to fix them. The real challenge of programming isn't learning a language's syntax—it's learning to creatively solveproblems so you can build something great. In this one-of-a-kind text, author V. Anton Spraul breaks down the ways that programmers solveproblems and teaches you what other introductory books often ignore: how to Think Like a Programmer. Each chapter tackles a single programming concept, like classes, pointers, and recursion, and open-ended exercises throughout challenge you to apply your knowledge. You'll also learn how to: This book teaches the reader how to write programs using Java. It does so with a unique approach that combines fundamentals first with objects early. The book transitions smoothly through a carefully selected set of procedural programming fundamentals to object-oriented fundamentals. During this early transition and beyond, the book emphasizes problem solving. For example, Chapter 2 is devoted to algorithm development, Chapter 8 is devoted to program design, and problem-solving sections appear throughout the book. Problem-solving skills are fostered with the help of an interactive, iterative presentation style: Here's the problem. How can we solve it? How can we improve the solution?. This book provides a comprehensive, up-to-date look at problem solving research and practice over the last fifteen years. The first chapter describes differences in types of problems, individual differences among problem-solvers, as well as the domain and context within which a problem is being solved. Part one describes six kinds of problems and the methods required to solve them. Part two goes beyond traditional discussions of case design and introduces six different purposes or functions of cases, the building blocks of problem-solving learning environments. It also describes methods for constructing cases to support problem solving. Part three introduces a number of cognitive skills required for studying cases and solving problems. Finally, Part four describes several methods for assessing problem solving. Key features includes: Wireshark is the world's most popular "packet sniffer," allowing its users to uncover valuable information about computer networks by analyzing the TCP packets that travel through them. This significantly revised and expanded second edition of Practical Packet Analysis shows you how to use Wireshark to capture raw network traffic, filter and analyze packets, and diagnose common network problems. Author Chris Sanders begins by discussing how networks work and gives you a solid understanding of how packets travel along the wire. He then explains how Wireshark can be used to monitor and troubleshoot networks. Numerous case studies help you apply your newfound knowledge to your networks. This revision offers more detailed explanations of key networking protocols; expanded discussions of wireless protocol analysis and an examination of network security at the packet level; expanded discussion of the meaning of packets and how they can offer insight into network structure; and new scenarios and examples. Whether fighting a virus infestation or a confounding connectivity problem, Practical Packet Analysis, 2nd Edition will help you find the problem and fix it. The Slow Fix: Solve Problems, Work Smarter, and Live Better in a World Addicted to Speed ( Rapidgator - Uploaded ) In The Slow Fix, bestselling author Carl Honore delivers an exhilarating model for effective problem-solving, and provides brilliant insights on how you can solveproblems, work smarter, and live better. Honore decodes how we approach problems and paves the way to better decision-making and generating long-term solutions to lifes inevitable challenges. Engaging and thought-provoking, The Slow Fix revolutionizes the way we live, work, consume, and think, ultimately increasing our wins and enhancing personal success. AutoCAD 2011: A Problem-Solving Approach ( Uploaded - Rapidgator ) AutoCAD 2011: A Problem-Solving Approach is the ideal book for a progression from the rudiments of AutoCAD to the advanced concepts of 3D modeling and customization. This is a comprehensive resource with problems in each chapter that will challenge you, whether you are a student or already a professional, to think beyond step-by-step approaches and will teach you the "whys" and "hows" behind using AutoCAD to solve drafting and design problems. Catering to the basic needs of beginners as well as to the advanced requirements of industry professionals, detailed explanations of AutoCAD 2011 commands and enhancements will enable you to take maximum advantage of Autodesks newest and most essential software featuresProblem Solving Cases in Microsoft Access and Excel, 9th Edition helps you apply the Access database management system and Excel spreadsheet to effectively analyze and solve real-world, business problems. Six individual tutorials build a practical knowledge of each software applications capabilities, while twelve all-new case studies present scenarios and problems common in business. Further, a skill-building integration feature requires readers to use Access and Excel together on cases, making this the most up-to-date, practical guide for these widely used software programsNode.js Recipes is your one-stop reference for learning how to solve Node.js problems. Node.js is the de facto framework for building javascript-powered servers. You will first be introduced to this exciting technology and what it can do, then learn through comprehensive and easy-to-follow recipes that use a problem-solution approach. Node.js Recipes teaches you to fully utilize the Node.js API, and leverage existing modules to build truly exciting projects.
New Elementary Mathematics is recommended for those who want a challenging math series with a proven international track record. For use in grades 7 to 10, this series "integrates pre-algebra, algebra, and geometry and includes some advanced math topics. Many questions require students to apply knowledge to new situations rather than following a procedure. Includes challenging questions for enrichment and discussion as well as math investigations. Teacher involvement is generally required." What you need for each level are the Textbook and the Teacher's Manual. For Levels 1 and 2 a Solutions Manual is also available with detailed answers for the textbook Chapter Exercises, Revision Exercises, Miscellaneous Exercises and Assessment Papers. If your student needs more practice, then there are workbooks for each level. NOTE: Years three and four of the series are out of print and have been discontinued. If you are new to Singapore Math, you might want to try their Discovering Math instead.
Students who require Math 1823 in their program will normally take one of the following: a Pre-Calculus course (Math 0863 UNBF or Math 1863 UNBSJ) a regular (one semester) section of Math 1823 Students intending to take Math courses beyond their minimal requirement should take Math 1003 instead. They should consult with the Department. Students who come to UNB intending to take Math 1003 or Math 1053 will take a short placement test to determine if they are ready to do so. Based on their test scores, and the regulations set out by the Mathematics Departments, students who require Math 1003 in their program will take one of the following: a Pre-Calculus course (Math 0863 UNBF or Math 1863 UNBSJ) a special section of Math 1003 that covers the material of the course over two semesters a regular (one semester) section of Math 1003 Students with high scores are encouraged to consider Math 1053, Enriched Introduction to Calculus I, at UNBF. They should consult with the Department. Students are allowed one retake if they are unhappy with their score. To give you an idea of what to expect, we have provided a list of sample questions for such a test. The answers are provided. Since June 2005, some NB high school teachers have participated in workshops held at UNBF to prepare final examination papers for NB Math 122 and Math 120. Those students who score 42/60 or higher on these teacher-prepared examination papers are eligible for exemption from writing the university mathematics placement test at UNB, Mount Allison University and Saint Mary's University. Many students in universities across Canada find first-year calculus difficult. The main reason is that in mathematics, as in music or athletics, the development of knowledge and skill is cumulative: what you learn next depends heavily on retention of what you learned before. Facility with basic algebra is very important, as is ability to combine techniques from several areas. University courses proceed at a faster pace than courses in school. It is easy to fall behind and difficult to catch up, especially if your skills have diminished over the summer. In order to ease the transition from high school to university, we suggest you keep up your mathematical knowledge and skills during the summer. The APICS (Atlantic Provinces Council on the Sciences) Committee on Mathematics and Statistics has created a website which you should look at. Also, we at UNB have compiled a selection of exercises, with answers, called `Are You Ready for Calculus?'. These cover the parts of the high school curriculum most essential as background for calculus. Many of the problems are challenging. It will take some time to work through the complete set, but do not become discouraged if you have difficulty with some of them. You should consider working with friends or asking your high school teachers for assistance.
A Problem Solving Approach to Mathematics for Elementary School Teachers edition: 11th Author(s): Billstein, Rick; Libeskind, Shlomo; Lott, Johnny W. ISBN: 9780321756664 text book (same content, just cheaper!!). May not contain access card/supplementary materials. Second day shipping available, ships same or next day. GET BOMBED!!This is the U.S. student edition as pictured
Key Curriculum Releases IMP Year 4, 2nd Edition IMP is four-year core mathematics curriculum and is aligned with Common Core State Standards. Adoption of the IMP curriculum includes implementation strategies, supplemental materials, blackline masters, calculator guides, and assessment tools. Year 4 covers topics such as statistical sampling, computer graphics and animation, an introduction to accumulation and integrals, and an introduction to sophisticated algebra, including transformations and composition. The second edition of Year 4 includes a new student textbook, 2 new unit books, and three updated unit books
COURSE DESCRIPTIONS 760-040 PRE-ALGEBRA - 3 cr A course for students who need a review of basic mathematics or who lack the computational skills required for success in algebra and other University courses. Topics include fractions, decimals, percent, descriptive statistics, English and metric units of measure, and measures of geometric figures. Emphasis is on applications. A brief introduction to algebra is included at the end of the course. This course does count toward the semester credit load and will be computed into the grade point average. It will not be included in the 120 credits required for graduation. It may be taken for a conventional grade or on a satisfactory/no credit basis. Not available to students who have satisfied the University Proficiency requirement in mathematics. Unreq: 760-140 or 760-141 760-041 BEGINNING ALGEBRA - 3 cr A course for those who have a sound background in basic arithmetic, but who have not been exposed to algebra, or who need to strengthen their basic algebra skills. Topics include properties of the real numbers, linear and quadratic equations, linear inequalities, exponents, polynomials, rational expressions, the straight line, and systems of linear equations. The course counts towards the semester credit load and will be computed into the grade point average. It will not, however, be included in the credits necessary for graduation. It may be taken for a conventional grade or on a satisfactory/no credit basis. Prereq: 760-040 or equivalent demonstration of capability. Students cannot receive credit for 760-041 if they have been waived from the Mathematics Proficiency Requirement. Not available to students who have satisfied the University Proficiency requirement in mathematics. Unreq: 760-140 or 760 141. 760-111 MATHEMATICS FOR THE ELEMENTARY TEACHER I - GM - 3 cr A study of sets, whole numbers, fundamental operations of arithmetic, fundamental algorithms and structural properties of arithmetic, fractions, problem solving and introduction to inductive and deductive logic stressing the structure of mathematics. All students will prepare a mathematics based activity and present it at an area elementary school. For elementary education prekindergarten-6 and elementary education elementary/middle school emphasis students. Prereq: A grade of C or better in 760-141 or 760-141B or a waiver from the university mathematics proficiency requirement. 760-112 MATHEMATICS FOR THE ELEMENTARY TEACHER II - 3 cr Selected topics in logic. The computer as a useful tool in mathematical explorations is introduced and applied throughout the course. Topics in probability and statistics, with emphasis on descriptive techniques. Investigations in geometric figures, measurement, construction, congruent and similar geometric figures. An introduction to coordinate geometry. Problem solving, discovery, and student projects are emphasized throughout. All students will prepare a mathematics based activity and present it at an area elementary school. Prereq: 760-111 760-140 MATHEMATICAL IDEAS - Proficiency - 3 cr Designed to give students a broad understanding and appreciation of mathematics. Includes topics not usually covered in a traditional algebra course. Topics encompass some algebra, problem solving, counting principles, probability, statistics, and consumer mathematics. This course is designed to meet the University Proficiency Requirement in mathematics for those students who do not wish to take any course which has 760-141 as a prerequisite. Prereq: Satisfactory completion of 760-041 or demonstration of equivalent capability. This course cannot be taken for credit after completing any mathematics course above 141. 760-141141BThis course covers the same material as 760-141, but meets 5 days a week143 FINITE MATHEMATICS FOR BUSINESS AND SOCIAL SCIENCES - GM - 3 cr Mathematical preparation for the understanding of various quantitative methods in modern management and social sciences. Topics included are sets, relations, linear functions, interest, annuities, matrix theory, the solution of linear systems by the graphical, algebraic, Gauss-Jordan, and inverse methods, linear programming by graphical and simplex methods, counting and probability, and decision theory. College of Business and Economics majors must take this course on a conventional grade basis. Prereq: Waiver of or a grade of C or better in 760-141. 760-177 THE LOGIC OF CHESS - 1 cr A study of logic particularly as it is used in the game of chess and, most particularly, in chess strategy and the end game of chess. The rules are taught to those who are not already acquainted with the game. Prereq: Fulfillment of University Proficiency requirement in mathematics. 760-230 INTRODUCTORY STATISTICS - 3 cr A pre-calculus course in statistics. Descriptive statistics, probability distributions, prediction, hypothesis testing, correlation, and regression. This course does not count towards a mathematics major or minor in either liberal arts or secondary education or towards a mathematics minor in elementary education. This course may not be taken for credit if credit has been or is being earned in any other statistics course. Prereq: Waiver or a grade of C or better in 760-141. Unreq: Any other statistics course. 760-231 UNDERSTANDING PROBABILITY AND STATISTICS - GM - 3 cr A pre-calculus course in probability and statistics. Descriptive statistics, classical probability, probability distributions, prediction, parametric and nonparametric hypothesis testing, correlation, regression, and use of some statistical software. This course does not count towards a mathematics major or minor in liberal arts or towards a mathematics major in secondary education. This course may not be taken for credit if credit has been or is being earned in any other statistics course. Prereq: Completion, with a grade of C or better, of either 760-143 or 760-152. Unreq: Any other statistics course. 760-243 SHORT CALCULUS FOR BUSINESS AND SOCIAL SCIENCES - GM - 3 cr A general survey of the Calculus. Topics covered include limits, differentiation, max-min theory, exponential and logarithmic functions, integration and functions of several variables. As in 760-143, business and social science applications are stressed. College of Business and Economics majors must take this course on a conventional grade basis. Prereq: Completion with a grade of C or better in either of the courses 760-143 or 760-152. Unreq: 760-250. Students should check with their major department for advice on whether to take 760-243 or 760-250. 760-250 APPLIED CALCULUS SURVEY FOR BUSINESS AND THE SOCIAL SCIENCES - GM - 5 cr An applied calculus course covering elementary analytic geometry, limits, differentiation, max-min theory, transcendental functions, integration, functions of several variables, and elementary differential equations. Some computer topics may be included. College of Business and Economics majors must take this course on a conventional grade basis. Prerequisite: 760-143, with a grade of C or better, or equivalent preparation as determined by the Mathematics Department. Unreq: 760-243, 760-253. 760-253 CALCULUS AND ANALYTIC GEOMETRY I - GM - 5 cr Review of algebraic and trigonometric functions, study of the derivative, techniques of differentiation, continuity, applications of the derivative, the Riemann integral, applications of the integral. Conventional grade basis only if course is required in the College of Business for major. Prereq: 760-152 or equivalent high school preparation as determined by the Mathematics Department. Unreq: 760-243 and 760-250. 760-255 CALCULUS AND ANALYTIC GEOMETRY III - 3 cr 760-280 DISCRETE MATHEMATICS - 3 cr This course will supply a thorough grounding in the mathematical topics which are central to the study of computer science, and which form the basis for many modern applications of mathematics to the social sciences. Topics covered will include sets, logic, Boolean algebra and switching circuits, combinatorics, probability, graphs, trees, recursion, and algorithm analysis. Expressing mathematical ideas and writing proofs will be emphasized. Prereq: 760-250 with a grade of B or better, or 760-253. 760-342/542 APPLIED STATISTICS - 3 cr This course will cover the basics of statistical testing, regression analysis, experimental design, analysis of variance, and the use of computers to analyze statistical problems. Prereq: 760-253 or 760-250 or cons instr. Unreq: 230-245. 760-353 COLLEGE GEOMETRY I - 3 cr A course following high school geometry, especially adapted to the prospective teacher of plane geometry. The course includes the foundations of geometry, logic and proof, finite geometries, introduction to non-Euclidean geometry and topics in modern geometry such as transformations, vectors, similarities and inversion. Prereq: 760-253 and 760-280. 760-354 COLLEGE GEOMETRY II - 3 cr A continuation of 760-353 which includes non-Euclidean geometry, synthetic and analytic projective geometry and subgeometries of projective geometry. Their relation to Euclidean geometry will also be considered. Prereq: 760-353, or 760-253 and 760-280 and cons instr. 760-361 DIFFERENTIAL EQUATIONS - 3 cr Ordinary differential equations: general theory of linear equations, special methods for nonlinear equations including qualitative analysis and stability, power series and numerical methods, and systems of equations. Additional topics may include transformation methods and boundary value problems. Applications stressed throughout. Prereq: 760-255. 760-365/565 LINEAR PROGRAMMING - 3 cr A study of the vector-matrix theory and computational techniques of the simplex method, duality theorem, degeneracy problem, transportation problems and their applications to engineering and economics. Machine solution of large linear programming problems. Prereq: 765-171 and 760-355. 760-375/575 DEVELOPMENT OF MATHEMATICS - 3 cr A study of the development of mathematical notation and ideas from prehistoric times to the present. The development and historic background of the new math will be included. Prereq: 760-152 or cons instr. 760-380/580 PATTERNS OF PROBLEM SOLVING - 3 cr This course will expose students to a variety of techniques useful in solving mathematics problems. The experiences gained from this course can be applied to problems arising in all fields of mathematics. The student will have the chance to see how some general techniques can be used as tools in many areas. Homework for this course will consist mostly of solving a large number of mathematics problems. Consent will be given to students with substantial interest in problem solving, and adequate preparation. Prereq: 760-280 or cons instr. 760-415/615 MODERN ALGEBRA AND NUMBER THEORY FOR THE ELEMENTARY TEACHER - 3 cr An introduction to modern algebra with special emphasis on the number systems and algorithms which underlie the mathematics curriculum of the elementary school. Topics from logic, sets, algebraic structures, and number theory. Prereq: 760-112 and 760-152. Unreq: 760-452. 760-416/616 GEOMETRY FOR THE ELEMENTARY TEACHER - 3 cr A study of the intuitive, informal geometry of sets of points in space. Topics include elementary constructions, coordinates and graphs, tesselations, transformations, problem solving, symmetries of polygons and polyhedra, and use of geometry computer software. Prereq: 760-112 and 760-152 760-417/617 THEORY OF NUMBERS - 3 cr A study of the properties of integers, representation of integers in a given base, properties of primes, arithmetic functions, modulo arithmetic. Diophantine equations and quadratic residues. Consideration is also given to some famous problems in number theory. Prereq: 760-280 or 760-415 or cons instr. 760-446/646 ACTUARIAL MATHEMATICS - 3 cr This course will discuss the actuarial profession and the insurance industry, provide direction to students wishing to take the first few actuarial examinations, thoroughly cover the theory of interest, and introduce the basic concepts of actuarial mathematics. Prereq: 760-441 or concurrent registration 760-452/652 ALGEBRAIC STRUCTURE OF THE NUMBER SYSTEMS - 3 cr An introduction to abstract algebra with emphasis on the development and study of the number systems of integers, integers mod n, rationals, reals, and complex numbers. These offer examples of and motivation for the algebraic structures of groups, rings, integral domains, fields, and polynomial rings. Prereq: 760-280 and either 760-355 or 760-255. Unreq: 760-415. 760-459/659 PARTIAL DIFFERENTIAL EQUATIONS - 3 cr 760-463/663 FUNCTIONS OF A COMPLEX VARIABLE - 3 cr A study of the algebra of complex numbers and the calculus of the functions of a complex variable. Analytic functions, complex integrals, calculus of residues, conformal mapping and applications are studied. Prereq: 760-255 and 760-280. 760-464/664 ADVANCED CALCULUS I - 3 cr Rigorous treatment of the differential and integral calculus of single variable functions, convergence theory of numerical sequences and series, uniform convergency theory of sequences and series of functions. Prereq: 760-255 and 760-280. 760-465/665 ADVANCED CALCULUS II - 3 cr Differential and integral calculus of functions of several variables, calculus of vector valued functions, inverse and implicit function theorems. Prereq: 760-355 and 760-464. 760-471/671 NUMERICAL ANALYSIS I - 3 cr Emphasis on numerical algebra. The problems of linear systems, matrix inversion, the complete and special eigenvalue problems, solutions by exact and iterative methods, orthogonalization, gradient methods. Consideration of stability and elementary error analysis. Extensive use of microcomputers and programs using a high level language, such as PASCAL. Prereq: 765-171 and 760-355. 760-472/672 NUMERICAL ANALYSIS II - 3 cr Emphasis on algorithmic approach to numerical analysis. Methods of iteration, interpolation and approximation applied to numerical differentiation and integration and to solution of nonlinear systems, difference equations, ordinary and partial differential equations. Consideration of rounding error and numerical stability. Extensive use of microcomputers and programs using a high level language, such as PASCAL. Prereq: 765-171 and 760-471. 760-490/690 WORKSHOP - 1-3 cr Repeatable. Prereq: Consent of instructor. 760-492 FIELD STUDY - 1-3 cr A study for which data is obtained or observations are made outside the regular classroom. Repeatable. Prereq: Consent of instructor. 760-494/694 SEMINAR - 2 cr Repeatable. Prereq: Consent of instructor. 760-496/696 SPECIAL STUDIES - 1-3 cr Repeatable three times maximum in 6 years. Prereq: Consent of instructor. 760-498 INDEPENDENT STUDY - 1-3 cr Repeatable. Prereq: Consent of instructor and consent of department chairperson. 760-499 PROJECT FOR MAJORS - 1 cr This course is designed to give students experience and to improve their skill in reading, writing, and understanding mathematics by requiring them to research one or more mathematical topics and then write a report about their activities and discoveries. The focus is on the learning and communication of mathematics: how to read with understanding, write with clarity and precision, and in the process discover how writing can aid in understanding. Prereq: Jr st or cons dept chp.
279 total 5 214 4 35 3 18 2 1 1 11 Best matrix app With free step by step solutions this app is very useful for solving and learning matrix and vector operations. Cool new interface tooSimilarThis app covers the following topics applicable to linear algebra: - Solve an equation or a system of equations - Add or subtract any two vectors - Find the cross product or dot product for two vectors - Find the dimensions, transpose, adjugate, rank, inverse, determinant, and reduced row echelon form of a matrix - Calculate a matrix product - Add and subtract matrices - Compute linear transformations - Determine subspaces, including row space, column space, and null space - Find the characteristic equation, eigenvalues, and eigenvectors of a matrix The Wolfram Linear 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. The Wolfram Linear Algebra Course Assistant draws on the computational power of Wolfram\|Alpha's supercomputers over a 2G, 3G, 4G, or Wi-Fi connection Calculator
Rent Textbook Buy New Textbook eTextbook 180 day subscription $138.67 Used Textbook We're Sorry Sold Out More New and Used from Private Sellers Starting at $23 2Student's Solutions Manual Elementary Number Theory Summary Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton's engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Imagine Yourself in This Calculus Classroom Luajean Bryan The efforts to attract students to precalculus, trigonometry, and calculus classes became more successful when projects-based classes were offered. Data collection from an untethered hot air balloon flight for calculus students was planned to maximize enrollment. The data were analyzed numerically, graphically, and algebraically. The project made calculus more meaningful and memorable for students. The Internet: Problem Solving Friend or Foe? Jeffrey Wanko Teaching problem solving to today's students requires teachers to be aware of the ways their students may use the internet as both a resource and as a tool for solving problems. In this article, I describe some of my own experiences in teaching problem solving to preservice teachers and how the existence of the internet has affected the ways in which I design and pose problems to my students. Proof for Everyone Eugene Olmstead How all students can apply the algebra skills they have learned to problem solving through investigation, along with different levels of proving the conjectures algebraically. The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
That children understand, acquire and apply mathematical skills and knowledge related to number and measurement in everyday life is the primary objective of Genee K12 content for Class XI Math Show More That children understand, acquire and apply mathematical skills and knowledge related to number and measurement in everyday life is the primary objective of Genee K12 content for Class XI Math syllabus. Specifically crafted to cultivate the development of analytical and computational abilities, Genee K12 interactive content greatly aids in imparting systemic mathematical education to students. "Learn the Concise and Logical representation of Mathematical ideas." Structured in perfect accord with the rules and regulations of Central Board of Secondary Education, Genee K12 Math content for students of standard XI is a reasonably priced study material for achieving high flying effective results. The motive of the curriculum is to use mathematical language to communicate mathematical ideas and arguments precisely, concisely and logically to students across the nation. "Genee Math Content instills in your child a logical perspective to learn the fundamentals and apply them in real world situations." The Genee K12 content for class XI Mathematics has been designed and written in clear and succinct terms with emphasis on the correct way of argument expression. All concepts and identities have been illustrated by situational examples with corresponding test questions to judge the understanding level of the students. Also, with Genee's ICT and AV products like the smart white boards, visualisers and student response systems, teachers can effectively know which concept is still unclear to students and reinforce the conceptual misunderstanding by reiterating the lesson. The coursework is definitely extensive and spans a whole wide range of topics such as sets and functions, trigonometry, algebra, co ordinate geometry, calculus, mathematical reasoning, statistics and probability. These topics covered in detail and explored with a plethora of applications, are fundamental in developing a healthy understanding of Mathematics. Needless to say, they may even encourage the child to take up this subject as a major field of study in college life and beyond.
Linear Algebra with Applications for an Amazon.co.uk gift card of up to £10.00, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Learn more Book Description- Bare Bones explanations of theorems - Usually the example problems are trivial - Teaches material out of a proper canonical order - One definitely should have an adequate professor to back the material presented in this text. I didn't. Just had to grind through the material and absorb it bit by bit on my own. - You most definitely CAN learn linear algebra from this text, just not very efficiently. Side Note: I highly suggest watching Gilbert Strang's MIT OpenCourseWare to accompany this course as well as using his text as a supplement. [...] 19 of 23 people found the following review helpful 1.0 out of 5 starsStudents in my class (including myself) have given up21 May 2012 By Perfectrancenow - Published on Amazon.com Format:Hardcover For the student who is proficient in calculus and algebra but is taking linear algebra for the first time, this book is mostly unreadable. Here is my overall summary of the book: heavy on symbol usage, theorems, and proofs, light on examples. Then after reading the section, you get thrown off into the deep end with tons of complicated word problems. You are left with the task of connecting theorems with the applications. If you ask me, this is just plain lazy on the author's part. My advice: as a punishment to your instructor for picking this book for your class, be in his or her office every single day and ask them to explain all of the problems past number 30 to you. You will get a good laugh when you realize that THEY struggle with them. 6 of 7 people found the following review helpful 1.0 out of 5 starsTERRIBLE DISCONNECT FROM EXAMPLES TO PROBLEMS13 July 2011 By Joseph - Published on Amazon.com Format:Loose Leaf Ditto on most of the bad reviews: bad, if not overly simple examples compared to assignments; bad order (studying supspaces before defining vector spaces). Why didn't we choose Strang's book for this class I'll never know. Thankfully there was a great teacher to teach from this terrible text. 2 of 2 people found the following review helpful 1.0 out of 5 starsAbysmal3 Jan 2013 By Torque - Published on Amazon.com Format:Hardcover This textbook is about as engaging as it is attractively typeset. There are numerous cheap/free resources from which a student can learn linear algebra that far surpass this book; I can only assume that pure nepotism accounts for the fact that this was used in a course I took at Harvard. I conquered the course and the subject with no help whatsoever from Dr. Bretscher's arrogant text - the sad part is that whenever I think about matrices the first thing that jumps to mind is the oh-so-illuminating picture of an ancient Chinese matrix analog in Section 1.2, ya know, the thing with the vertical and horizontal rods (???). Avoid. 2 of 2 people found the following review helpful 1.0 out of 5 starsPoor textbook. Would have given 0 stars if possible.12 Oct 2010 By Kevin Manktelow - Published on Amazon.com Format:Hardcover\|Amazon Verified Purchase Do not buy this book unless it is absolutely required for your class. The other reviewers discussing the lack of clarity and completeness in this book are telling you the truth. The presentation of the information is poor. It's not that people are giving it bad reviews because it isn't "Mathematical" enough. Textbooks do exist that give a good treatment of the subject without going into gory detail. However, this book has information haphazardly organized and essentially glosses over almost everything in a "you get the hang of it, right? Lets move on" type feeling.
Browse Results Modify Your Results A flexible program with the solid content students need Glencoe Algebra 1strengthens student understanding and provides the tools students need to succeed--from the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests. From the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests, these programs strengthen student understanding and provide the tools students need to succeed. THE PROGRAM STUDENTS NEED; THE FOCUS TEACHERS WANT! "Glencoe Algebra 2" is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today's high-stakes assessments. "New York Algebra 2 with Trigonometry" is the third of three books in Glencoes New York High School Mathematics Series. This series offers complete coverage of New Yorks Mathematics standards, strands, and performance indicators. As students learn to integrate a comprehensive array of tools and strategies, they become proficient in mastering concepts and skills, solving problems, and communicating mathematically. This series of books helps your students identify and justify mathematical relationships; acquire and demonstrate mathematical reasoning ability when solving problems; use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes; and succeed on the Regents Examinations. ENGAGING MATHEMATICS, SUPPORTING ALL LEARNERS, DELIVERING THE CONTENT NEEDED TO MEET TODAY'S STANDARDS Glencoe Geometrydelivers the depth of content required to meet the new changes in your state's standards; provides relevant applications for teens; unique instructional resources for teachers; and is available in print, online, and on CD-ROM or DVD formats. This textbook of Glencoe Mathematics Course 1 has unit lessons on Number, Operations, and Statistics, Number and Operations: Decimals and Fractions, Patterns, Relationships, and Algebraic Thinking, Measurement and Geometry, Number, Operations, and Algebraic Thinking. This book is talked about The Texas Prairies and Lakes region offers a wide range of attractions. Among them is the States Fair of Texas. Located in Dallas, it boasts the 212-foot Texas Star-the tallest Ferris wheel in North America. As with all circles, the ratio of the circumference of the Texas Star to its diameter is a constant, π. You'll learn more about ratios in Chapter 7 and circumference in Chapter 12. Mathematics: Applications and Conceptsis a three-text Middle School series intended to bridge the gap from Elementary Mathematics to High School Mathematics. The program is designed to motivate middle school students, enable them to see the usefulness of mathematics in the world around them, enhance their fluency in the language of mathematics, and prepare them for success in Algebra and Geometry
More About This Textbook Overview Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of geometry and trigonometry, algebra, number theory and combinatorics. While it may be considered a sequel to Mathematical Olympiad Challenges, the focus of Treasures is on engaging a wider audience of undergraduates to think creatively in applying techniques and strategies to problems in the real
The TI-108 is the least expensive, most basic, and most widely used calculator by Texas Instruments. The TI-108 is probably the most common Americanelementary school calculator due to low price, ruggedness, and solar panel power source. Along with the more expensive and newer TI-10, this calculator targets the K-3 student group for whom it will likely be a first calculator. The TI-15 is targeted to older students. The TI-108 is the last member of the TI calculator family to continue a design language first introduced in the mid-1980s, with textured keys and straight edges with curved bottom corners, as well as a recessed frame around the display. This design was also shared with the landscape-aspect Galaxy line of scientific calculators, though the textured keys were not used on contemporary portrait-aspect designs due to a lack of space. The current model 108 is, at least externally, virtually identical to the original TI-108 introduced in 1990, and is the cheapest design in the TI calculator line. Though the internal electronics are different, the TI-108 is fundamentally the same as the TI-1100II introduced in 1985, a four-function calculator with additional square root and percentage keys. Basic calculators do not follow the order of operations and most of them do not have a command line in which parentheses can be entered; they merely evaluate each expression in the order in which they are given. The TI-108 has a very simple feature that stores one number in memory; it is by default zero. The M- and M+ keys will respectively subtract or add the number on the screen to the number in memory, and the MRC key recalls this memory number. By keeping the current number in memory, subtracting and adding to it with the memory keys, and then multiplying and dividing it in the normal fashion, a problem of arithmetic can be done in the proper order with the TI-108 without physically writing down results intermittently.
Product Description The Prentice-Hall mathematics series is designed to help students develop a deeper understanding of math through an emphasis on thinking, reasoning, and problem-solving. A mix of print and digital materials helps engage students with visual and dynamic activities alongside textbook instruction. Course 2 (Grade 7) presents a structured approach to a variety of topics such as ratios, percents, equations, inequalities, geometry, graphing, and probability. In the "Getting Ready to Learn" portion of the textbook lesson, "Check your readiness" exercises help students see where they might need to review before the lesson. "Check skills you'll need" list out the skills used in the lesson, and new vocabulary is listed before it's introduced. Sidebar helps tell students where to go for help in the textbook if they need to review, or note when an online tutor video is available. The lesson itself includes "quick check" problems for students to see if they understand the concept just introduced; "key concepts" boxes that summarize definitions, formulas, & properties, online activities for review and practice; vocabulary sidebars and features that help focus on the language of math; and multiple types of practice activities that feature new material, integrate older material, and provide challenges. A homework video tutor for every lesson is provided online. Designed to especially help students prepare for high-stakes tests like the SAT and ACT, as well as standardized tests, test-taking strategies are included in each chapter. Skills handbook, Spanish/English glossary, instant check answers, and selected answers are included in the student textbook. The workbook provides complete daily support for the lesson, and includes a daily notetaking guide, guided problem solving exercises, and additional practice for every lesson. For each chapter vocabulary and study skills are emphasized. The Daily Notebooking Guide is designed to be used while working through the text; each section corresponds to a section in the text, with objectives clearly laid out. Perforated, newsprint-like pages, softcover. The Teacher Center CD-ROM includes all the tools parents will need to successfully teach this course. This CD-ROM includes the TeacherExpress CD which includes a lesson planner, teacher's edition, and teaching resources, as well as the MindPoint QuizShow CD and the Presentation Express that has lesson PowerPoint Presentations. This Grade 7 kit includes: Parent Guide Pamphlet for Homeschoolers Course 2 Textbook Course 2 Workbook Teacher's Center CD-ROM System Requirements for Teacher's Center CD-ROM: Windows 2000, XP 4X CD-ROM Drive 100 MB hard drive Space 128 MB RAM (256 MB RAM or higher recommended) Mac Users, please note: the Teacher's Resource DVD-ROM will only work on PowerPC & G4 Macs, and is not supported for new versions.
Overview 1 Covers all the key information from the three mandatory units: Maths 1, Maths 2 and Maths 3. 2 Contains an indispensable overview of the course, and an introduction to what to expect from the exam. 3 Fully reflects the new exam format and incorporates the Objective Questions element. 4 Addresses the most ... More About This Book Overview 1 Covers all the key information from the three mandatory units: Maths 1, Maths 2 and Maths 3. 2 Contains an indispensable overview of the course, and an introduction to what to expect from the exam. 3 Fully reflects the new exam format and incorporates the Objective Questions element. 4 Addresses the most frequently asked questions in a way that is most useful and manageable for the student. 5 Provides best advice on how to tackle the concepts and areas identified in the Principal Assessor's Report as the most problematic for students. BrightRED Revision books: 6 Are full colour, attractive and engaging, displaying a clean and completely modern design. 7 Address all the essential arrangement material, which is arranged in easily digestible topics, runs in a logical order and is contained in double page spreads, to make revision manageable. 8 Have been developed specifically to appeal to 16- and 17-year old learners: to be sophisticated in approach, while being accessible enough to be a benefit for
Let's Review Algebra 2/Trigonometry (Barron's Review Course) Book Description: This review book offers high school students in New York State advance preparation for the Regents Exam in Algebra 2/Trigonometry. Fourteen chapters review all exam topics and include practice exercises in each chapter. The book concludes with a sample Regents-style exam presenting problems similar to those that will appear on actual exams. Answers are provided for all questions. Topics covered in this book are: algebraic operations, functions and relations, types of functions, composition and inverses of functions, transformation of functions, imaginary and complex numbers, exponential and logarithmic functions, trigonometric functions, trigonometric graphs, trigonometric identities and equations, applications of trigonometry, probability and statistics, regression, and sequences and
introduces business, biology, allied health, behavioural, and social science students to the basic concepts and techniques of calculus. Intended for use in a one-semester course, it implements an applications-oriented apporach. Coverage of topics such as trigonometric and curve sketching are included but left as optional to make the text more flexible. A brief algebra review is provided in Chapter 0: a more complete review is in the appendix.
eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
EdenMath X v.1.1.1 On this page Description EdenMath is a Cocoa-based scientific calculator, exclusive for Mac OS X. EdenMath can handle standard arithmetic, algebraic, trigonometric, and probability functions. What makes EdenMath different from its competitors is the addition of a developer's tutorial which chronicles the design and making of a scientific calculator. Edenwaith.
Short Description for A Second Step to Mathematical Olympiad Problems The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. This book is an amalgamation of the booklets produced to guide students intending to contend for placement on their country's IMO team. Full description Full description for A Second Step to Mathematical Olympiad Problems The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the booklets originally produced to guide students intending to contend for placement on their country's IMO team. See also "A First Step to Mathematical Olympiad Problems" which was published in 2009. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though "A Second Step to Mathematical Olympiad Problems" is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.
MA 150 Precalculus Mathematics Miller, Russelrequisite: <a href='index.aspx?Class=MA131'>MA131</a> or equivalent. 3:0:3 Educational Philosophy: Success in mathematics requires a lot of <b>practice</b>, and students are expected to work sufficient numbers of problems outside of class to attain an adequate level of proficiency. Math courses are not exercises in "memorization", rather, upon completion of the course the student should have a thorough understanding of the fundamentals and be able to effectively apply the learned concepts to new problems and accurately interpret the results. <b><i>Students must take responsibility for their own learning.</b></i> Learning Outcomes: Core Learning Outcomes Demonstrate the basic features of the Cartesian coordinate plane Analyze and graph the defining features of linear equations Analyze and graph the defining features of circles, parabolas, ellipses, and hyperbolas Explain, graph, and apply logarithmic and exponential functions Demonstrate the fundamental properties of trigonometric definitions, theorems and equations - Daily mini-quizzes/participation: Approximately half of the class periods will include a mini-quiz. These 10 minute quizzes cover fundamental concepts and are intended to provide both the student and the instructor feedback on the students' progress. The mini-quizzes also encourage the students to stay caught up...falling behind in math classes can be disasterous! Students fully participating in the class and working the recommended homework problems will easily excel on the mini-quizzes. Students will also receive a daily participation grade (0.5%/day for a total of 8% of the final grade). The participation grade will be adjusted according to the student's participation (e.g., absence=0, leaving midway through class=50%, etc.). Missing class detracts from the learning experience (whether the absence is excused or not), so there will be NO make-up's for mini-quizzes/participation grades under any circumstances. Late Submission of Course Materials: Assignments should be turned in on the specified due date. A penalty of 10% per class period beyond the due date will be assessed on late work, at the discretion of the instructor. Classroom Rules of Conduct: Students will be courteous and respectful to each other and the instructor at all times. Disruptions of the learning environment will not be tolerated. Students will not eat or drink (except water
Presented by HippoCampus, a project of the Monterey Institute for Technology and Education, this free online course "is a study of the basic skills and concepts of elementary algebra, including language and operations... This excellent site, from LessonCorner, helps educators create customized math worksheets for students of all levels. Creating worksheets is free, and visitors can also name them what they wish and print them to site from Northern Illinois University provides online notes for students using the Abstract Algebra textbook (which is also available online). The materials cover the topics of integers, functions, groups,... 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,...
Publisher's Description Natty Scientific Calculator is an original scientific calculator. Using an advance mathematical parser (JEP), it is able to calculate mathematical equations very accurately. What makes this calculator different is its simplicity. It is much easier to use than its competitors and any input can immediately be converted to a graph. Natty Scientific Calculator features: Scientific and engineering calculations. Complex numbers can be inserted and stored (e.g. (radians&angle) OR (real+imaginary)). Easy store and recall. Definite Integration function (e.g. I(1,5,sin(x)+2)) Differentiation function (e.g. D(3,cos(x^2))) y(x) graphing function. polar graphing function. parametric graphing
Mathematical Modeling I - preliminary Advertisement Mathematical modeling is the most effective bridge connecting mathematics and many disciplines such as physics, biology, computer science, engineering, and social sciences. A mathematical model, which is a mathematical description of a real system, can potentially help to explain a system, to uncover the underlying mechanisms via hypotheses and data fitting, to examine the effects of different components, and to make predictions.
Intermediate Algebra With Early Functions and Graphing 9780321064592 0321064593 Summary: The Lial/Hornsby developmental mathematics paperback series has helped thousands of students succeed in math. In keeping with its proven track record, this revision includes a sharp new design, many new exercises and applications, and several new features to enhance student learning. Among the features added or revised include a new Study Skills Workbook, a Diagnostic Pretest, Chapter Openers, Test Your Word Power, F...ocus on Real-Data Applications, and increased use of the authors' six-step problem solving process. Lial, Margaret L. is the author of Intermediate Algebra With Early Functions and Graphing, published 2001 under ISBN 9780321064592 and 0321064593. Thirty one Intermediate Algebra With Early Functions and Graphing textbooks are available for sale on ValoreBooks.com, twenty eight used from the cheapest price of $0.01, or buy new starting at $22.14 In the original shrink wrapping. Book and MYMathLab unopened. NO remainder markings. A brand... [more]NEW. In the original shrink wrapping. Book and MYMathLab unopened. NO remainder markings. A brand new book perfect inside and out
Scatter Plots, Trend Lines, Regression Equations and Data Analysis PDF (Acrobat) Document File Be sure that you have an application to open this file type before downloading and/or purchasing. 14.76 MB \| 25 pages PRODUCT DESCRIPTION 24 Pages. This unit on scatterplots and trend lines is designed to accompany the study of linear functions. It is fully aligned with the Common Core Standards. Students should already be familiar with the following: * Writing equations of lines given slope and y-intercept or point and slope * Graphing points and lines (from slope & intercept and from point & slope) * Identifying slope (rate of change) and intercepts from a graph I have used this unit in both a beginning algebra course (between linear functions and systems of linear equations) and an advanced algebra course (in the introductory unit on linear functions). It consists of three parts: 1. Introduction to scatter plots and trend lines through an analysis of Olympic swimming results. Students first learn to work with scatter plots by hand plotting and drawing trend lines. Equations are used to explore and interpret the scenario. 2. Student Activity exploring an epidemic of West Nile Virus. This lesson introduces technology for calculating regression equations and explores non-linear regressions. Instructions are included for TI-83/84 and MS Excel (more possibilities available, upon request). 3. Performance Task Assessment: two fictional families travel the frontier in search of the American dream. Students must use their regression skills to analyze data taken from found journals in order to determine if either family makes it before running out of water. Comprehensive grading rubric is included. This unit contains full answer keys for all handouts as well as a cover page detailing essential question, common core standards and student objectives, and teaching notes. I am a new seller. Your feedback is my foundation to a good start. A full version of the unit (less answer keys) is available for free preview on the right. Feel free to take a free look before you purchase. I purchased this back in August & am using it next week for American Education Week. This is an amazing resource for teaching scatter plots & linear regression. I love the creativity and real world applications. I did note one tiny typo, could you possibly fix the charts on pages 11 & 12 to say "21" days and not "2" days? Thank you so much for this valuable resource. Can't wait for my kiddos to work on it next week! BTW, I don't see how anyone can not give this product a 4.0 rating for thoroughness & creativity. A+ in my book! Product Questions & Answers On November 25, 2012, Buyer asked: It is password protected. Thank you again! On November 24, 2012, Buyer asked:For this item, the cost for one user (you) is $6.95. If you plan to share this product with other teachers in your school, please add the number of additional users licenses that you need to purchase. Each additional license costs only $3.48.
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).
Complex Analysis 9780387950693 ISBN: 0387950699 Pub Date: 2001 Publisher: Springer Verlag Summary: The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The first part comprises the basic core of a course in complex analysis for junior and senior undergraduates. The second part includes various more specialized topics as the argument principle the Poisson integral, and the Riemann mapping theorem. The third part consists of a selection of to...pics designed to complete the coverage of all background necessary for passing Ph.D. qualifying exams in complex analysis. Gamelin, Theodore W. is the author of Complex Analysis, published 2001 under ISBN 9780387950693 and 0387950699. Seven hundred twenty nine Complex Analysis textbooks are available for sale on ValoreBooks.com, one hundred fifty nine used from the cheapest price of $36.68, or buy new starting at $51.35
The authors' thoroughly explain and illustrate each new idea when it is first introduced and then reinforce the new idea or concept by having students work related problems. For undergraduate and graduate courses in derivatives, options and futures, financial engineering, financial mathematics, and risk management. Designed to bridge the gap between theory and practice, this highly successful book is regarded is the standard reference on trading floors and in academic classrooms throughout the world. Building on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB and MAPLE further support students. Study more effectively and improve your performance at exam time with this comprehensive guide! Written by Susan McMurry, the Study Guide and SolutionsManual provide answers and explanations to all in-text and end-of-chapter exercises. Content has been updated to match the new in-text and end-of-chapter exercises. The tenth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read style and real-world examples.
books.google.com - Now in its eighth edition, this text masterfully integrates skills, concepts, and activities to motivate learning. It emphasises the relevance of mathematics to help students learn the importance of the information being covered. This approach ensures that they develop a sold mathematics foundation and... for Elementary Teachers
For Algebra, Spreadsheets Beat Newer Teaching Tools You already own better algebra-teaching software than any educational software developer is making. If you do a search on "from arithmetic to algebra" as a verbatim phrase, you'll get about 600 hits, with the ones from Google Books reaching back into the nineteenth century. About three out of every four will be about helping students make the transition from arithmetic to algebra -- it has been known for a very long time that that's where we lose many people who are never able to advance much further in math. As I noted before, 25 years ago RAND surveyed the then-nascent field of educational software and found many effective arithmetic teaching programs and practically nothing that taught any of the important aspects of algebra (abstract relations, strategy, fundamental concepts and so on). Even back in 1988, it was clearly understood that arithmetic training programs should not be the model for developing algebra educational software because arithmetic is taught as procedural training. When you teach the quadratic formula, polynomial factoring or Cramer's Rule as if they were mere complex recipes like long division, you miss the fundamental concepts that are the whole point of studying algebra. Depressingly, my survey of algebra-teaching software revealed that 25 years later the situation remains the same. Plenty of programs will drill a student on algebraic procedures, but most do not even attempt to teach any sort of insight, strategy or deeper understanding. Even the best merely offer supporting text or "guess the next step," the same wrong-headed approach that the pioneering math educator Mary Everest Boole identified about the arithmetic-to-algebra transition in 1909. Proceduralism is about performing tasks (now write this number here and do this ...), but conceptualism is the heart of mathematics (how are these numbers connected or related?). In the leap from "what do I do?" to "what is it?" we're losing many students who might otherwise have gained not only the higher incomes, but the much better understanding of the world, to which mathematics is the gateway. Now, there may be an educational software design company out there right now about to fix this problem, but probably there's not. And parents and teachers who need to get a seventh-to-ninth grader across the gap right now can't very well wait until he or she is halfway through college, or longer, for algebra teaching software that actually teaches algebra. And yet there is a piece of instructional software right on your computer that can be used to teach all levels of algebra to all levels of student, in a fully conceptual way. It's the spreadsheet. You can find plenty of discussion and advice about how to do this from excellent teachers like Tom Button, Sue Johnston-Wilder and David Pimm, Teresa Rojano and Ros Sutherland, but let's just quickly hit the highlights of how exploring spreadsheets, and then exploring with spreadsheets, can provide a conceptual doorway into algebra. If you're interested, you'll find all but limitless resources for this. Consider, to begin with, that variables and parameters in spreadsheets are very similar to what they are in ordinary algebra. For that matter, Microsoft Excel notation (and most of the Open Office software notation) is either algebra notation outright, or so close that only simple explanations need to be given ("in algebra the multiplication asterisk is understood, in Excel you have to put it in," "what we call a function in algebra is what a formula is in Excel," etc.). A basic insight of algebra is that a function can be thought of as a rule OR a table OR a graph. (I'm capitalizing because it's the Boolean logical OR rather than ordinary English "or.") In fact, they are three different ways of looking at the same thing. Similarly, a spreadsheet formula can be used to generate a table of data, and the spreadsheet's graphing features can be used to turn it into a graph.
Calculus Calculus! Many students get fear with this branch of mathematics, as it is considered as one of the difficult topics of math. The word Calculus is derived from Latin word, which means calculating something and used for counting anything. Calculus covers a wide area of modern mathematics. It mainly focuses on limits, functions, derivatives, integrals, and infinite series. Calculus plays a very important role in modern mathematics. It has two branches Differential Calculus and Integral Calculus. Calculus have various applications as follows: Differential calculus persist velocity, acceleration optimization and slope of the curve, while integral calculus contains area, volume, center of mass, work, pressure and arc length. Calculus provides tools to solve many problems. One of the problem is paradox, which comes in limit and infinite series. If we see the fundamental theorem of calculus, then we find that the differential and integration operation are opposite to each other or we can say that inverse to each other. Calculus have so many applications, and is widely used in different fields like computer science, statistics, economics business, physical science etc. Calculus Topics Chain rule: Chain rule is a formula for computing the derivative of the composition of two or more functions. If l and m are two functions, then the chain rule is $\frac{dl}{dy}$ = $\frac{dl}{dm}$ . $\frac{dm}{dy}$ where, 'l' differentiate with respect to m and m differentiate with respect to y. Continuity: A function with no gaps, jumps or undefined points. A continuous function is a function in which small changes in the input results to small changes in the output. Definite Integral: Let f be a function which is continuous on the closed interval [a, b]. The definite integral of f from a to b is defined to be the limit $\int_{a}^{b}$ f(x) dx = $\lim_{n\rightarrow \infty}$ $\sum_{i=1}^{n}$f($x_{i})$ $\Delta x$ Derivative: Derivative is a measure of how a function changes as its input changes. Discontinuity: If a function is not continuous at a point in its domain, then it is said to have a discontinuity. Extreme Value Theorem: Helps in determining the possible maximum and minimum values of a function on certain intervals. If a function f(x) is continuous on a closed interval [a, b], then f(x) has both a maximum and minimum values on [a, b]. Higher Order Derivatives: Any derivative beyond the first derivative is referred as higher order derivative. Indefinite Integral: An integral without upper and lower limits. Limit: The value of a function approaches as the variable approaches some point. If the function is not continuous, the limit could be different from the value of the function at that point. Maximum: A function f(x) has relative maximum value at x = a, if f(a) is greater than any value immediately preceding or following. Mean Value Theorem: If f(x) is defined and continuous on the interval [a, b] and differentiable on (a, b), then there is atleast one number c in the interval (a, b), such that f'(c) = $\frac{f(b) - f(a)}{b-a}$ Minimum: A function f(x) has relative minimum value at x = b, if f(b) is less than any value immediately preceding or following. Newton's Method: Method for finding successively better approximations to the roots of a real-valued function. Slope: Slope is the ratio of the rise divided by the run between two points on a line. It describes its steepness, incline or grade. Power Rule: Power rule is an important differentiation rule. Polynomials are differentiated using the rule. $\frac{d}{dx}$ x$^{n}$ = nx$^{n - 1}$ ; n$\neq$ 0 Quotient Rule: Method of finding the derivative of a function that is the quotient of two other functions for which derivative exist. Quotient rule is given as $\frac{d}{dx}$ ($\frac{g(x)}{h(x)})$ = $\frac{g'(x)h(x) - g(x)h'(x)}{[h(x)]^{2}}$
High School John Denman Course Description: 11th grade Pre-Calculus/Introduction to Calculus Friday, July 19, 2013 This is a mathematics class for 11th graders who have taken Algebra II/Trigonometry/Pre Calculus as sophomores. As such, they are ready to explore the wonders of the Calculus. Calculus revolves around systems that are changing and is represented by two specific tasks: finding gradients of functions and finding the area under a function. The former sets the foundation for differential calculus, while the latter is an important aspect of integral calculus. A list of topics includes:
Sunday, October 08, 2006 We had the first quiz of the second unit. Students did well - the average score was a 79%. After this, we began exploring graphical analysis. The example shown here is part of the homework. As predicted, answering these types of questions was hard for many of the students, but we did seem to make some good progress. I didn't give them any direct instruction - just asked them to try to figure out the questions in their groups based on what they already know. Then, we reviewed the answers together. We will keep coming back to these types of problems in the upcoming lessons. After this, I did direct instruction on adding, subtracting, and multiplying functions. Students liked this, because it only required use of their algebra 1 skills. Though the notation was different, they didn't have to learn anything "new"; the feeling of relief was almost palpable in the room
Key skills Develop problem-solving skills and apply them independently to problems in one or two areas of pure and or applied mathematics. Communicate effectively in writing about the subject (using precise notations and coherent arguments of a variety of kinds). Improve own learning and performance (e.g. ability to organise study time, to study independently, exploit feedback and meet deadlines). Teaching, learning and assessment methods All relevant material is taught in the module texts and through the study of set books. Your knowledge is built up gradually, with learning fostered by in-text examples. You assess your own progress and understanding by using the in-text problems and exercises at the end of each unit. You also engage with what is taught by attempting the tutor-marked assignment (TMA) questions, and your understanding is reinforced by personal feedback from your tutor in the form of comments based on your TMA answers. Your understanding of principles, concepts, and techniques is assessed through TMA questions and the final, unseen, three-hour examination for each module.
linear programming mathematical programmingTheoretical tool of management science and economics in which management operations are described by mathematical equations that can be manipulated for a variety of purposes. If the basic descriptions... simplex methodStandard technique in linear programming for solving an optimization problem, typically one involving a function and several constraints expressed as inequalities. The inequalities define a polygonal region...
This 102-page PDF file addresses mathematical thinking. The goals of this publication are to outline and substantiate a broad conceptualization of what it means to think mathematically, to summarize the literature relevant to understanding mathematical thinking and problem solving, and to point to new directions in research, development and assessment consonant with an emerging understanding of mathematical thinking and instruction goals.
9 Workbook: Year 9 Introducing Maths Frameworking ! the scheme that delivers the Framework. This full colour write-in book provides exercises designed to support you ...Show synopsisIntroducing Maths Frameworking ! the scheme that delivers the Framework. This full colour write-in book provides exercises designed to support you in accessing the Framework for Year 9
"I teach a lot of engineers. They all had calculus in high school, and they know how to compute a thing or two, but they don't know what it all means," he says. "This helps them understand why it's important." He offers the book for free to those who want a refresher course, but don't want to "lug around a ten pound calculus book that is unloved and unread." Ghrist doesn't describe himself as an artist, but says he "mostly doodles for therapy." Drawing, he says, helps him in his work as a topologist (a mathematician who studies abstract shapes). "It's a beautiful branch of mathematics. It was long considered too abstract to be used for anything. My research leads me to draw lots of pictures, to think visually and that has a nice resonance for how I teach," Ghrist says. Dr. Ghrist will be teaching a free calculus class via coursera.org, starting January 7, 2013. You can get a taste of the class in the video below. *Dr. Ghrist is the Andrea Mitchell University Professor of Mathematics and Electrical & Systems Engineering. (Yes, THAT Andrea Mitchell.)
This eBook introduces the topic of proportionality, from developing the relationship between mathematical expressions and word sentences, describing mathematical relationships and exploring direct and inverse proportionality through expressions and graphical illustrationsThis book contains some tricks extracted from Vedic Mathematics Which are useful in making Calculations in short peroid of time or While solving some problems.The book is very useful,the thing is Some practise need to be done,these tricks help make calculations In less peroid of time.
Numerical computation and optimization is an important tool to solve many practical engineering problems. The goal of this course is to teach a number of commonly-used algorithms (e.g., linear/nonlinear solver, matrix computation, nonlinear optimization, Monte Carlo simulation, etc.) and, most importantly, how they can be used to solve practical problems related to electrical and computer engineering. This course will help to develop the mathematical skills to build customized tools, as well as the background required to use commercial solvers. At the end of this course, students should know the basic algorithms and methodologies for numerical computation and optimization, and implement prototype solvers in MATLAB for these problems. This goal will be achieved by a combination of learning through lectures, homeworks, exams, and importantly, learning to implement numerical algorithms via selected projects. Students will be required to write MATLAB code for computation and optimization tasks. Grades will be based on project results and reports, homeworks, and exams.
It obviously requires single- and multi-variable calculus and linear algebra, but what else? And where do you suggest to get that background from?this isn't a duplicate because I'm for the math needed ... Every once in a while, we get a question asking for a book or other educational reference on a particular topic at a particular level. This is a meta-question that collects all those links together. ... Note: I will expand this question with more specific points when I have my own internet connection and more time (we're moving in, so I'm at a friend's house). This question is broad, involved, and ...
SYLLABUS MATHEMATICSUNIT 1 : SETS, RELATIONS AND FUNCTIONS: Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;. one-one, into and onto functions, composition of functions.UNIT 2 : COMPLEX NUMBERS AND QUADRATIC EQUATIONS: Complex num ROORKEE UNIVERSITY (NOW IIT-ROORKEE)EXAMINATION WAS CONSIDERED ONE OF THE TOUGHEST EXAMINATION IN IT'S TIME.THE QUESTIONS WERE NOT ONLY TO TEST CONCEPTS BUT ALSO THERE WERE LOT OF CALCULATIONS IN THOSE QUESTIONS.ALTHOUGH MANY OF YOU MAY HAVE THESE QUESTIONS AND U MAY THINK THESE ARE SUBJECTIVES AND NOT UP THE PRESENT PATTERN BUT I M PUTTING THESE UP FOR THEM WHO DON'T HAVE ,AS THESE CAN BE BENEFICIAL FOR JEE ADVANCE.ALTHOUGH THESE ARE TIME CONSUMING (I REALISED WHEN I DID QUES 4 AN EASY ONE FROM SEQUENCE SERIES SECTION BUT SLIGHTLY CALCULATIVE):-1)A ball moving around the circle x2+y2-2x-4y-20=0 in anti-clockwise sense direction leaves it tangentially Here is the value of pi and answer the following question given below in the comments3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502 8410270193852110555964462294895493038196442881097566593344612847564823 3786783165271201909145648566923460348610454326648213393607260249141273 7245870066063155881748815209209628292540917153643678925903600113305305 4882046652138414695194151160943305727036575959195309218611738193261179 3105118548074462379962749567351885752724891227938183011949129833673362 44065664308602139494639522473719070217986094370277053921717629317 KOTA ...........................FINALLY DEVOID OF STUDENTS BECAUSE OF CHANGE IN JEE PATTERN..... AFTER THE ANNOUNCEMENT THAT THE BOARD EXAMS WOULD BE HAVING A 40 PERCENT WEIGHTAGE IN THE SELECTION FOR THE PRESTIGIOUS IITS,THE PLACE WHICH WAS ONCE MECCA OF EDUCATION HAS BEEN REDUCED TO A SECLUDED PLACE......HAVING SPENT 3 YEARS OF MY LIFE THERE.....IN THE CROWD OF STUDENTS MANY OF WHOM ARE THERE BECAUSE OF SHEER PEER PRESSURE AND FOR ENJOYING A LUXURIOUS LIFE..{AT PUBS AND CYBER CAFES}....EVEN YESTERDAY WHILE STROLLING IN THE MARKET HERE I FOUND GLOOM ON THE FACES OF THE LOCAL PEOPLE I This is one of the most valuable shortcuts that we use. It is advanced, but once you master this, integrals can become much, much faster. Nearly every integral that you come across after Calculus II requires U-Substitution, and that is why this trick is very useful.Before we get to the good stuff, let's do an example with regular U-Substitution.Let's try this again, but completely avoid U-Substitution. It's a very similar concept, but it is much faster and will help you make less mistakes. With U-Substitution, you must remove yourself from the problem, go off to the side, figure out what u and du are, and then finally comeWhy?Well, there isn't a closed-form expression for the antiderivative of the integrand, so the Fundamental Theorem of Calculus won't help.But the expression is meaningful, since the it represents the area under the curve from 0 to infinity.Furthermore, there is a nice trick to find the answer!Call the integral I. Multiply the integral by itself: this gives I2 =then view as an integral over the first quadrant in the plane: I2 then change to polar coordinates (!): Now this is quite easy to evaluate: you find that .This means that I, the original value of the integral you were looking for, is . Wow! Source:http Pigeonhole Principle Here's a challenging problem with a surprisingly easy answer: can you show that for any 5 points placed on a sphere, some hemisphere must contain 4 of the points? How about an easier question: can you show that if you place 5 points in a square of sidelength 1, some pair of them must be within distance 3/4 of each other? If you play with this problem for a while, you'll realize quickly that the extreme case occurs when 4 points are at the corners of the square with a 5th point at the center. In this case adjacent points It is the quickest way, and it works for all non perfect squares ..Find two perfect squares that your square falls between. For example if I am trying to find the square root of 12, then I know my number is going to fall between the square root of 9 (3^2=9) and the square root of 16 (4^2=16).Divide your square by one of these two square roots. Therefore, I am going to divide my square, 12, by one of the square roots 3 or 4. I will choose 3. So, 12/3 = 4.I will average the result from Step 2 with the root I divided by. So, I take my answer from Step 2 (4), and will average this with the root I chose to divide my square by in Step 2 (3). Therefore, (4+3)/2 = 3.5. The 1.) SYLLABUS For ISAT:PHYSICS Syllabus:MECHANICSUnits & Measurements: The international system of units, measurement oflength, mass and time, accuracy, precision of instruments and errors inmeasurement, Significant figures, dimension of physical quantities, dimensionalformulae and equations, dimensional analysis and its applications.Motion in a straight line: position, path length and displacement, average velocityand speed, instantaneous velocity and speed, acceleration, kinematic equations foruniformly accelerated motion, relative velocity. Motion in a plane: scalars and vectors, multiplication of vectors by real numbers,addition and aubtraction of vector THE CUBE ROOTS OF UNITY:Let the cube root of 1 be x i.e., 3√ 1 = x. Then by definition, x3 = 1 or x3 – 1 = 0 or (x – 1) (x2 + x + 1) = 0 Either x – 1 = 0 i.e., x = 1 or (x2 + x + 1) = 0 Hence Hence, there are three cube roots of unity which are which the first one is real and the other two are conjugate complex numbers. These complex cube roots of unity are also called imaginary cube roots of unity. PROPERTIES OF THE CUBE ROOTS OF UNITY: 1.) One imaginary cube root of unity is the square of the other. Hence it is clear that one cube root of uni Hi there!!! I am gonna write here a full fledged tutorial on introduction to complex numbers (at the moment only for the people in 11th ).Those who are new to it are welcome to read it. Before starting off we must know the first and foremost thing. That is iota.Iota is the square India being one of the long haul destinations is the perfect holiday destination for budget tourists. The multiplicity of tourist places in India is simply mind- boggling. Be it people, places, customs, dresses or food, the sheer diversity you get to see is an eye opener for tourists. Nowhere in the world one gets to see such a diverse congregation of cultures in one landmass. India with its diverse landscape provides the perfect destination for any type of tour that you would like to undertake. Whether you want to undertake a Yoga tour, Ayurveda tour or a pilgrimage that you and your family would like to undertake. North India tour packages typically cover the stat
Product Description This book focuses exclusively on K-8 mathematics, developing elementary mathematics at the level of "teacher knowledge". Themes focus on "how the nature of a mathematics topic suggests an order for developing it in the classroom", "how topics are developed through 'teaching sequences'", and "how math builds on itself." Originally designed as a textbook for teachers, this book is divided into short sections, each with a single topic and homework set. The homework sets were designed with the intention that all or most of the exercises will be assigned; many of the questions involve solving problems in actual elementary school textbooks. Others involve "studying the textbook" - carefully reading a section of the book and answering questions about the mathematics being presented, with attention to the prerequisites, the ordering, and the variety of problems on that topic. Both types of exercises will help you develop a teacher's understanding of elementary mathematics. 237 pages, paperback. Other Customers Also Purchased
Get ready to master the principles and operations of algebra! Master Math: Algebra is a comprehensive reference guide that explains and clarifies algebraic principles in a simple, easy-to-follow style and format. Beginning with the most basic fundamental topics and progressing through to the more advanced topics that will help prepare you for pre-calculus... more... Prepared for students by renowned professors and noted experts, here are the most extensive and proven study aids available, covering all the major areas of study in college curriculums. Each guide features: up-to-date scholarship; an easy-to-follow narrative outline form; specially designed and formatted pages; and much more. more... Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate... more... The updated guide to the newest graphing calculator from Texas Instruments The TI-Nspire graphing calculator is popular among high school and college students as a valuable tool for calculus, AP calculus, and college-level algebra courses. Its use is allowed on the major college entrance exams. This book is a nuts-and-bolts guide to working with... more... The existence, for every sub-Laplacian, of a homogeneous fundamental solution smooth out of the origin, plays a crucial role in the book. This makes it possible to develop an exhaustive Potential Theory, almost completely parallel to that of the classical Laplace operator. This book provides an extensive treatment of Potential Theory for sub-Laplacians... more...
ProbabilityAdvanced Algebra II: Teacher's Guide Collection Properties Summary: This is the Teacher's Guide for Kenny Felder's course in Advanced Algebra II. This guide is not an answer key for the homework problems: rather, it is a day-by-day guide to help the teacher understand how the author envisions the materials being used. This text is designed for use with the "Advanced Algebra II: Conceptual Explanations" ( and the "Advanced Algebra II: Homework and Activities" ( collections to make up the entire course
More About This Textbook Overview The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. New chapter on proof by contradiction New updated proofs Afull range of accessible proofs Symbols indicating level of difficulty help students understand whether a problem is based on calculus or linear algebra Editorial Reviews From the Publisher "It is written with great accuracy and a level of enthusiasm necessary for the Herculean task of launching mathematical handle-turners into the world of mathematical thinking…for those required to teach 'transition courses', I recommend perusal of this book as a possible course text."—MAA online, December 3, 2013 Meet the Author Antonella Cupillari is an associate professor of mathematics at Pennsylvania State Erie in Behrend College. She received her Laurea in Mathematics in Italy, and her M.A. and Ph.D. at the State University of New York at Albany. She has been a participant in the Mathematical Association of America/National Science Foundation Institute on the "History of Mathematics and Its Use in Teaching." Cupillari is the author of several papers in analysis, mathematics education, and the history of mathematics. She is also the author of the first edition of The Nuts and Bolts of Proof
Middle School Mathematics (0069) Download Free Viewers Topics Covered In each of the content categories, the test will assess an examinee's ability to use appropriate mathematical language and representations of mathematical concepts, to connect mathematical concepts to one another and to real-world situations, and to integrate mathematical concepts to solve problems. Because the assessments were designed to measure the ability to integrate knowledge of mathematics, answering any question may involve more than one competency and may involve competencies from more than one content category. Representative descriptions of topics covered in each category are provided below. III. Functions and Their Graphs Understand function notation for functions of one variable and be able to work with the algebraic definition of a function (i.e., for every x there is one y) Identify whether a graph in the plane is the graph of a function; given a set of conditions, decide if they determine a function Given a graph, for example, a line, a parabola, a step, absolute value, or simple exponential, select an equation that best represents the graph; given an equation, show an understanding of the relationship between the equation and its graph Determine the graphical properties and sketch a graph of a linear, step, absolute-value, quadratic, or exponential function Demonstrate an understanding of a physical situation or a verbal description of a situation and develop a model of it, such as a chart, graph, equation, story, or table Determine whether a particular mathematical model, such as an equation, can be used to describe two seemingly different situations. For example, given two different word problems, determine whether a particular equation can represent the relationship between the variables in the problems Find the domain (x-values) and range (y-values) of a function without necessarily knowing the definitions; recognize certain properties of graphs (e.g., slope, intercepts, intervals of increase or decrease, axis of symmetry) Translate verbal expressions and relationships into algebraic expressions or equations; provide and interpret geometric representations of numeric and algebraic concepts
MERLOT Search - materialType=Simulation&keywords=mathematics A search of MERLOT materialsCopyright 1997-2014 MERLOT. All rights reserved.Fri, 7 Mar 2014 06:36:52 PSTFri, 7 Mar 2014 06:36:52 PSTMERLOT Search - materialType=Simulation&keywords=mathematics 4434Geogebra GeoGebra is a free and multi-platform dynamic mathematics software for education in secondary schools that joins geometry, algebra and calculus. On the one hand, GeoGebra is a dynamic geometry system--you can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards; on the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum. These two views are characteristic of GeoGebra: an expression in the algebra window corresponds to an object in the geometry window and vice versa.Interactive Mathematics--Probability This site contains an extensive collection of java applets involving probability miscellany and puzzles. Written by Alexander Bogomolny, these applets are designed to engage the reader in interactive investigations. Background material is provided and the site serves as an excellent educational resource.Maths Online A collection of mathematics learning materials for high school and college students. It incudes several applets,.Exploremath.com Highly interactive mathematics activities for students and educators.Isometric Drawing Tool This java applet simulates drawing block and mat diagrams on isometric dot paper. Part of the NCTM Illuminations project.Seeing Math--Secondary Interactives Seeing Math™ has developed a series of interactive software for grades 6-12 that clarify key mathematical ideas for teachers and students of algebra. Free for educational uses.Interactive Mathematics--Geometry This site contains an extensive collection of java applets involving goemetry miscellany and puzzles. Written by Alexander Bogomolny, these applets are designed to engage the reader in interactive investigations. Background material is provided and the site serves as an excellent educational resource.Population Modeling Applet In this applet, the user applies Euler's Method to modeling population growth using the Malthus exponential model and the Verhulst constrained growth model. After finding the Euler solution, the user can check the solution with the Adaptive Euler Approximation or with a slope field. Also, the user can enter an exact solution obtained from separating variables (or whatever) and again check the Euler solution graphically.Manipula Math with Java The material presented in the following pages are for middle school students, high school students, college students, and all who are interested in mathematics. You will find interactive programs that you can manipulate and a lot of animation that helps you to grasp the meaning of mathematical ideas.LiveGraphics3D
Course Description: This course continues the development of the useful topics of logic, Probability presented in Geometry. The goals are to develop proficiency with mathematical skills, to expand understanding of mathematical concepts, to improve logical thinking, and to promote success. The topics that are covered are: advanced algebra, complex numbers, relations and functions, logarithmic functions, and trigonometry.
Elementary and Inter. Algebra : Graphs and Models - 4th edition Summary: TheBittinger Graphs and Models Serieshelps readers learn algebra by making connections between mathematical concepts and their real-world applications. Abundant applications, many of which use real data, offer students a context for learning the math. The authors use a variety of tools and techniques-including graphing calculators, multiple approaches to problem solving, and interactive features-to engage and motivate all types of learners4853.20321726346
BASIC MATH HANDBOOK ... The first part contains a formula sheet of commonly referred to formulas in the water industry. ... By analyzing units (called dimensional analysis) in a formula or mathematical calculation you can determine if the problem is set up correctly. BasicFormulas and Mathematical Results Used in the Analysis 219 Let us call r∗ the expected rate of return on contributions that an individual who enters the system at time 1 and retires at time R would these concepts we first have to master some basicmathematical skills that will allow us to ... Many students treat mathematical equations (or formulas) as mystical black boxes, memorized, used to "plug and chug", but generally without meaning. This article has three basic steps on how to master reading Mathematicalformulas. These steps are a good reference. The same method of reading Math formulas in Algebra ... Understanding how to read mathematics formulas requires a basic understanding UNIT1 Electrician's Math and . Basic The most basic functions create formulas for basic arithmetic or for evaluating numbers in a range of cells. Basic arithmetic The simple arithmetic functions are addition, ... For statistical and mathematical purposes, Calc includes a variety of ways to round off numbers. If Entering a basic formula A formula is a worksheet entry that performs a calculation. You can use the following mathematical operators in formulas. Operator Description + Addition - Subtraction * Multiplication / Division You ... mathematical calculation like 15 + 46 can be accomplished as shown ... The most basic functions create formulas for basic arithmetic or for evaluating numbers in a range of cells. Basic arithmetic The simple arithmetic functions are addition, subtraction, Basic Water and Wastewater Formulas Summary Operators obtaining or maintaining their certification must be able to calculate complex formulas and conversion factors. This Tech Briefprovides basic examples of these formulas and conversion factors. Basicformulas You can write many different inquiry formulas using basicmathematical operators and no SQL knowledge. These formulas create new columns by specifying mathematical operations between columns that already exist in the inquiry. Basicmathematical symbols Example: To get the sale price, the formula should look like this ... Formulas work the same way As we fill-in the formula will change Relative references Copying Formu las Two ways Click on the cell you want Solving Equations, Formulas, and Proportions Section 1: Introduction One of the basic goals of algebra is solving equations. An equation is a mathematical statement in which two expressions equal one another. We first describe some of the basic skills and knowledge that a solid elementary school ... and mathematical reasoning are the fundamental defining principles of mathematics and it is difficult to ... working with formulas and equations. Textbooks can be a tremendous help to students. Australian Journal of Basic and Applied Sciences, 5 ... mathematical symbols and mathematicalformulas. The MDS can help distance learners understand mathematical knowledge, with the freedom and flexibility offered by the online environment. Formulas for Area (A) and Circumference (C) Triangle A 1 2 bh 1 2 base height ... Justification refers to the student using mathematical principles to support the reasoning used to solve the problem or to demonstrate that the solution is correct.
Product Details: Finance: The Basics is an introductory text intended to convey the essential elements of the broad topic of finance, with a particular focus on the practical dimension of financial tools, instruments, and markets. The book, which will be written in a jargon-free style, is aimed at first year undergraduates with no previous exposure to financial concepts and will include simple, yet comprehensive, explanations of the primary elements of the topic. Upon completing the book the reader will have a solid working knowledge of the key drivers of the financial marketplace and be comfortable applying and relating the concepts to daily activities, the financial press, and the financial markets. The overarching emphasis of this work is on the practical mechanics of finance. Author: Banks, Erik Series Title: Basics Binding Type: Hardcover Number of Pages: 264 Publication Date: 2006/12/21 Language: English *Dimensions: 8.08 x 5.50 x 0.96 inches Description: Throughout banking, mathematical techniques are used. Some of these are within software products or models; mathematicians use others to analyse data. The current literature on the subject is either very basic or very advanced."The Mathematics of Banking" offers an ... Description: This text addresses a variety of numerical methods for pricing derivative contracts, including Fourier techniques, finite differences, numerical simulation, and Monte Carlo simulation methods one of the first books to cover all of these techniques. After presenting the basics ... Description: Theory and application of a variety of mathematical techniques in economics are presented in this volume. Topics discussed include: martingale methods, stochastic processes, optimal stopping, the modeling of uncertainty using a Wiener process, Ito''s Lemma as a tool of ...
In my opinion, all you need for a first course is Axler's "Linear Algebra Done Right" and perhaps Strang's "Introduction to Linear Algebra." I also second Logan's suggestion to use MIT Open Courseware. – Derek AllumsMay 22 '12 at 20:53 Strang's introductory course on MIT Open courseware along with with Halmos' Finite Dimensional Vector spaces as a reference make a good first course in the subject. – Ragib ZamanMay 23 '12 at 0:58 1 Answer MIT Open Courseware has some linear algebra materials, for example here. There are video lectures on youtube. There are a number of other resources, but any of these is probably sufficient. You should probably invest in a textbook if you go the MIT route. From what I understand Khan Academy is supposed to be self-contained, but a textbook wouldn't hurt.
Handbook for Matrix Computations 9780898712278 ISBN: 0898712270 Publisher: Society for Industrial and Applied Mathematics Summary: Provides the user with a step-by-step introduction to Fortran 77, BLAS, LINPACK, and MATLAB. It is a reference that spans several levels of practical matrix computations with a strong emphasis on examples and 'hands on' experience.
In the 19th century, Kummer introduced "ideal numbers" to salvage unique factorization of integers into primes (which breaks down in some rings of algebraic integers). This course discusses unique factorization and the modern theory of rings and their ideals, emphasizing Euclidean domains. Other algebraic structures (groups, fields) also are introduced. Required for all mathematics majors. Prerequisite: Math 130 Linear Algebra. Course goals. To provide students with a good understanding of the theory of modern algebra as described in the syllabus. To help students develop the ability to prove theorems and solve problems. To introduce students to some of the basic methods of modern algebra. To develop abstract and critical reasoning by studying logical proofs and the axiomatic method as applied to modern algebra. To make connections between modern algebra and other branches of mathematics, and to see some of the history of the subject.
Discrete Mathematics Using Latin Squares An intuitive and accessible approach to discrete mathematics using Latin squares In the past two decades, researchers have discovered a range of uses for Latin squares that go beyond standard mathematics. People working in the fields of science, engineering, statistics, and even computer science all stand to benefit from a working knowledge of Latin squares. Discrete Mathematics Using Latin Squares is the only upper-level college textbook/professional reference that fully engages the subject and its many important applications. Mixing theoretical basics, such as the construction of orthogonal Latin squares, with numerous practical examples, proofs, and exercises, this text/reference offers an extensive and well-rounded treatment of the topic. Its flexible design encourages readers to group chapters according to their interests, whether they be purely mathematical or mostly applied. Other features include: An entirely new approach to discrete mathematics, from basic properties and generalizations to unusual applications 16 self-contained chapters that can be grouped for custom use Coverage of various uses of Latin squares, from computer systems to tennis and golf tournament design An extensive range of exercises, from routine problems to proofs of theorems Extended coverage of basic algebra in an appendix filled with corresponding material for further investigation. Written by two leading authorities who have published extensively in the field, Discrete Mathematics Using Latin Squares is an easy-to-use academic and professional reference. "...a welcome addition and expands the options available for teaching...it is refreshing to see authors take a subject they are passionate about and design a unique text around that topic while simultaneously covering many of the basic topics expected..." (SIAM Review, Vol. 44, No. 4)
Offering 9 subjects including calculus
An Introduction to Algebraic Topology - 1 edition Summary: A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced. 2011$137.44 +$3.99 s/h New El Pinarillo Books Morden, 2011 Paperback New Book New and in stock. 10/5
Recommended Preparation The best preparation is to follow the mainstream of mathematics courses offered in high school. Students find it extremely beneficial to have at least two years of algebra and a year of geometry before they enter the IU Southeast program. College-bound high school students should keep in mind that lower-level algebra courses do not count toward the mathematics concentration requirement at IU Southeast, although some of these courses do count toward graduation. For further information, please contact Professor Lang at (812) 941-2270 or by email, wclang@ius.edu
Book has appearance of light use with no easily noticeable wear.Millions of satisfied customers and climbing. Thriftbooks is the name you can trust, guaranteed. Spend Less. Read ...More. Read aim of 16-19 Mathematics has been to produce a course which, while challenging, is accessible and enjoyable to all students. The course develops ability and confidence in mathematics and its applications, together with an appreciation of how mathematical ideas help in the understanding of the world and society in which we live. This unit: • is a self-contained introduction to Newton's laws of motion; • integrates the use of practical work; • develops concepts through the modelling of physical
Math Teachers, Not Students, Make Those Math Moron Myths Published: May 30, 1991 To the Editor: John Allen Paulos is right on target when he writes about student math preparation or the lack of it and student attitudes to math in "Math Moron Myths" (Op-Ed, April 24). It is gratifying that an experienced math professor should echo what physics instructors like myself have been saying for years. There is no doubt that the math moron myths he describes are real and have been detrimental to math and science education. Ironically, he does not identify the source of these myths, which is math teachers. Yes, students think that "math is mere computation." That is what they have been taught day in and day out in introductory math courses. I have seen a generation of students walk into my physics class with excellent grades in calculus, but no inkling of what calculus is about. They are ready to compute, but are at a loss to analyze a problem using the concepts of calculus. The students insist they know math, because they have the grades to prove it. How did they get good grades without learning analytical skills? Because of the mistaken generosity of math instructors who reward students for computing, rather than thinking. We cannot blame students for believing that "math is a rigidly hierarchical subject." The fault lies with math teachers again. Students cannot learn about differential equations until they have completed at least two semesters of calculus. What students do not know is that every equation involving one or more derivatives is a differential equation. Students are under the impression that differential equations are high-brow stuff that they cannot understand until they have done their time in a series of calculus courses. Math is taught in such a rigidly compartmentalized form that students are victims, not creators of moron myths. Students have no appreciation for math as a language that expresses ideas and has a beauty of its own. If they do not get a chance to learn to appreciate the beauty of math in the classroom, how can they do it outside the classroom? Linguists tell us that we are born with an ability to learn our mother tongue and could master it at a very early age. Most of us do not have a similar ability to learn math. It has to be taught and has to be learned through hard work. Math teachers should scrutinize what is done in their classrooms before criticizing what they helped create. POOVAN MURUGESAN Associate Professor of Physics San Diego City College San Diego, May 9, 1991
Book DescriptionI have a Ph.D. in math and teach at a college in California. I compared the Hughes-Hallett book with 7 other calculus books: Anton, Edwards, Larson, Rogawski, Smith, Stewart, Thomas. Here are some concerns with the Hughes-Hallett book. This book is missing the following topics: reciprocal trigonometric functions (sec x, csc x, cot x), squeeze theorem, logarithmic differentiation, sketching graphs by hand by using derivatives, telescoping series, curvature, tangential and normal components of acceleration, line and surface integrals over scalar fields. All the other 7 books include these topics. Six series tests are crammed into section 9.4. None of the other 7 books cram all six of these series tests into one section. The Root Test for series is embedded into two homework problems. All of the other 7 books include the Root Test in a box within a section. Planes (12.4) are discussed before talking about vectors (chapter 13). All the other 7 books discuss vectors first and then use vectors to develop planes. Center of mass multiple integral formulas are embedded into the homework problems. All the other 7 books explain center of mass multiple integral formulas within a section. The preface reads, "Students are expected to use their own judgment to determine where technology is useful." All the other 7 books make it clear when the students should use technology. The preface reads, "There are very few examples in the text that are exactly like the homework problems. This means that you can't just look at a homework problem and search for a similar-looking `worked out' example." Many students learn calculus by seeing `worked out' examples. Instructors: If you are considering adopting this book, then you've been warned. Students: If you have to use this book, then go to class, do your homework, and good luck. For those of us who learn by example and who need more active guidance through difficult material, this book falls short. It appears to be a deliberate design strategy of this book, to under-explain then over-exercise. This is tolerable until one gets to integration, where the sink-or-swim approach will result in many unnecessary drownings. Stewart seems at least a little better in this regard, and I note that it is replacing Hughes-Hallett in my school. One could hope some day for a text written by someone who had enough trouble learning the subject, to be able to remember the value of a patient explanation. No, 8 pages (including the exercises) are NOT sufficient to explain algebraic identities and trigonometric substitution in integration, except to a bright student with a fresh memory of trigonometry. The physical weight of this book is burdensome, and the price is symptomatic of the shameless shakedown racket that American textbook publishing has become. Some Web research reveals that a typical price for a German university mathematics text is under $50 equivalent. I teach mathematics and computer science at a small college, so I examined this book for possible adoption as a text in our three class sequence in calculus. Since it does cover calculus all the way through flux integrals and the calculus of vector fields, there is certainly enough material for the sequence. One characteristic that I approved of was the lack of "using technology" segments. In this area, I will be the first to admit that I am of the old school, even though I have taught a course in programming with Maple and am a heavy user of Mathematica. The reason why I disapprove of using these programs in calculus is that the students have enough on their minds without having to learn how to program a symbolic mathematics package. Learning calculus is very hard, all mathematics, especially calculus, is not a spectator sport. Some people liken it to a contact sport, as it can be very exhausting to learn it. Forcing the students to simultaneously learn programming is in my opinion too much to ask. There are plenty of exercises and solutions to the odd-numbered ones are included. However, I will not be adopting this book or recommending that it be adopted. I do not think the depth of the explanations is adequate. For example, on page 50 there is the epsilon-delta definition of a limit. After that, there is only one example (limit of 2x as x goes to 3) of how this definition is used to determine a limit. On the next page there is a theorem listing many of the properties of limits but no explanations as to why they are true. Proofs are largely nonexistent, the pedagogical style is to say, "here is something that is true" and then go immediately to an example of how it is used. I will readily concede that if that is your style of teaching calculus, then this book will work for you. However, if you want to occasionally give a true proof-style explanation as to why a property holds, then you are on your own. I was required to buy this book because of my Calc II class, and I must say it was rather horrible. As my teacher was incompetent and simply took samples out of the book and did them on the board, I found myself relying on teaching myself the material out of the book. Unfortunately, the amount of explanation in the text is... minimal, at best. It usually just says "This is what you do, and it works because it's MATH." The examples skip a fair number of algebraic steps--great, if you remember every bit of your middle and high school math classes, but very confusing if you forget anything. I ended up failing the class because I couldn't learn an adequate amount out of this book. I used a different book for Calc I, and this can't hold a candle to it. If I was unsure of something, I could read the start of a chapter and understand it. This book, more often than not, leaves me more confused than when I started.
Introduction to Numerical Methods and Analysis 9780470049631 ISBN: 0470049634 Pub Date: 2007 Publisher: John Wiley & Sons Inc Summary: Praise for the First Edition". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." -Zentrablatt Math". . . carefully structured with many detailed worked examples . . ." -The Mathematical Gazette". . . an up-to-date and user-friendly account . . ." -MathematikaAn Introduction to Numerical Methods and Analysis addresses the mat...hematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics.A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth.The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis. Epperson, James F. is the author of Introduction to Numerical Methods and Analysis, published 2007 under ISBN 9780470049631 and 0470049634. Fifteen Introduction to Numerical Methods and Analysis textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $70.28, or buy new starting at $73.17
More About This Textbook Overview "Innovative introductory text . . . clear exposition of unusual and more advanced topics . . . Develops material to substantial level."--American Mathematical Monthly "Refreshingly different . . . an ideal training ground for the mathematical process of investigation, generalization, and conjecture leading to the discovery of proofs and counterexamples."--American Mathematical Monthly " . . . An excellent textbook for an undergraduate course."--Australian Computer Journal A stimulating view of mathematics that appeals to students as well as teachers, this undergraduate-level text is written in an informal style that does not sacrifice depth or challenge. Based on 20 years of teaching by the leading researcher in graph theory, it offers a solid foundation on the subject. This revised and augmented edition features new exercises, simplifications, and other improvements suggested by classroom users and reviewers. Topics include basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 ed
Linear Equations 6-9 - MAT-942 how to use engaging hands-on activities within the context of real-world situations to help students develop an understanding of linear function concepts. Through measuring and counting students discover patterns and relationships that they analyze, generalize, represent, and describe with tables, graphs, and rules that are expressed in words and with equations. This course requires student participation.
Takoma Park PrecalculusPrealgebra includes a long list of introductory topics in both algebra and geometry. Topics covered include, but or not limited to the following: Algebra: - Mathematical operations of signed numbers - Order of Operations (PEMDAS) - Classification of Numbers - Simplifying algebraic expressions -...
You will learn how to draw graphs of straight lines and parabolas. You will learn about the shapes of graphs for many types of equations. Algebra 1 also includes some statistics and probability and a small amount of geometry.
Metadata Name: Solving Linear Equations and Inequalities: Summary of Key Concepts ID: m21914 Language: English (en) Summary: This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. In this chapter, the emphasis is on the mechanics of equation solving, which clearly explains how to isolate a variable. The goal is to help the student feel more comfortable with solving applied problems. Ample opportunity is provided for the student to practice translating words to symbols, which is an important part of the "Five-Step Method" of solving applied problems (discussed in modules ((Reference)) and ((Reference))). This module provides a summary of the key concepts of the chapter "Solving Linear Equations and Inequalities".
Explained: Matrices Dec 06, 2013 by Larry Hardesty Among the most common tools in electrical engineering and computer science are rectangular grids of numbers known as matrices. The numbers in a matrix can represent data, and they can also represent mathematical equations. In many time-sensitive engineering applications, multiplying matrices can give quick but good approximations of much more complicated calculations. Matrices arose originally as a way to describe systems of linear equations, a type of problem familiar to anyone who took grade-school algebra. "Linear" just means that the variables in the equations don't have any exponents, so their graphs will always be straight lines. The equation x - 2y = 0, for instance, has an infinite number of solutions for both x and y, which can be depicted as a straight line that passes through the points (0,0), (2,1), (4,2), and so on. But if you combine it with the equation x - y = 1, then there's only one solution: x = 2 and y = 1. The point (2,1) is also where the graphs of the two equations intersect. The matrix that depicts those two equations would be a two-by-two grid of numbers: The top row would be [1 -2], and the bottom row would be [1 -1], to correspond to the coefficients of the variables in the two equations. In a range of applications from image processing to genetic analysis, computers are often called upon to solve systems of linear equations—usually with many more than two variables. Even more frequently, they're called upon to multiply matrices. Matrix multiplication can be thought of as solving linear equations for particular variables. Suppose, for instance, that the expressions t + 2p + 3h; 4t + 5p + 6h; and 7t + 8p + 9h describe three different mathematical operations involving temperature, pressure, and humidity measurements. They could be represented as a matrix with three rows: [1 2 3], [4 5 6], and [7 8 9]. Now suppose that, at two different times, you take temperature, pressure, and humidity readings outside your home. Those readings could be represented as a matrix as well, with the first set of readings in one column and the second in the other. Multiplying these matrices together means matching up rows from the first matrix—the one describing the equations—and columns from the second—the one representing the measurements—multiplying the corresponding terms, adding them all up, and entering the results in a new matrix. The numbers in the final matrix might, for instance, predict the trajectory of a low-pressure system. Of course, reducing the complex dynamics of weather-system models to a system of linear equations is itself a difficult task. But that points to one of the reasons that matrices are so common in computer science: They allow computers to, in effect, do a lot of the computational heavy lifting in advance. Creating a matrix that yields useful computational results may be difficult, but performing matrix multiplication generally isn't. One of the areas of computer science in which matrix multiplication is particularly useful is graphics, since a digital image is basically a matrix to begin with: The rows and columns of the matrix correspond to rows and columns of pixels, and the numerical entries correspond to the pixels' color values. Decoding digital video, for instance, requires matrix multiplication; earlier this year, MIT researchers were able to build one of the first chips to implement the new high-efficiency video-coding standard for ultrahigh-definition TVs, in part because of patterns they discerned in the matrices it employs. In the same way that matrix multiplication can help process digital video, it can help process digital sound. A digital audio signal is basically a sequence of numbers, representing the variation over time of the air pressure of an acoustic audio signal. Many techniques for filtering or compressing digital audio signals, such as the Fourier transform, rely on matrix multiplication. Another reason that matrices are so useful in computer science is that graphs are. In this context, a graph is a mathematical construct consisting of nodes, usually depicted as circles, and edges, usually depicted as lines between them. Network diagrams and family trees are familiar examples of graphs, but in computer science they're used to represent everything from operations performed during the execution of a computer program to the relationships characteristic of logistics problems. Every graph can be represented as a matrix, however, where each column and each row represents a node, and the value at their intersection represents the strength of the connection between them (which might frequently be zero). Often, the most efficient way to analyze graphs is to convert them to matrices first, and the solutions to problems involving graphs are frequently solutions to systems of linear equations. In the last decade, theoretical computer science has seen remarkable progress on the problem of solving graph Laplacians—the esoteric name for a calculation with hordes of familiar applications in scheduling, image processing, ... The maximum-flow problem, or max flow, is one of the most basic problems in computer science: First solved during preparations for the Berlin airlift, it's a component of many logistical problems and a staple ... It took only a few years for high-definition televisions to make the transition from high-priced novelty to ubiquitous commodity—and they now seem to be heading for obsolescence just as quickly. At the ... ...
As a mathematician and advocate for mathematics education, there are several reactions that I often get whenever I discuss what I do. One of the most interesting of which is the following statement, some version of which I have heard an numerous occasions: "You do college math. Is that like really hard calculus?" This question is interesting to me because it reflects several aspects of our cultural understanding of mathematics. The average person in our society has very little knowledge of what math looks like after high school. We all live through the progression from Algebra I to Geometry to Algebra II. Some take a class called Pre-calculus or Trigonometry or Advanced Functions. Even fewer make it through Calculus in high school. In any event, the high school math student lives in a world where Calculus is the pinnacle of all mathematics. Only the smartest seniors take Calculus. How could there be math that is harder than Calculus? What would that math even look like? The reality is that Calculus is just one more step in a long progression of subjects that together make up the body of modern mathematical knowledge. These subjects are usually taken in the designated order because understanding the concepts taught in one course requires mastery of the concepts and techniques taught in all of the preceding courses. You have to have mastered the tools from Geometry and Algebra II in order to have any hope of really understanding Pre-calculus. Similarly, you have to have completed a couple semesters of calculus before jumping into Differential Equations, which often follows Calculus. Below is a diagram laying out the progression of math courses that a typical math major will take before finishing college. Some schools will offer additional classes or call these ones by different names, but the basics are shown below. Most graduate schools offer deeper versions of each of the top rung classes listed here, as well as very specific research courses that delve into narrow corners of Algebra, Analysis, and Topology. Linear Algebra is the study of vector spaces, which is a fancy name for the usual 1-, 2-, and 3- dimensional spaces that we learn about in high school. We discuss the properties inherent to such spaces, and how they can be generalized to higher dimensions and new types of "vectors". The tools of the trade are matrices. We use matrices to efficiently solve very large systems of equations and to create linear approximations for more complicated functions. Computer programmers use matrices for numerous applications, including most three dimensional animations. Any animation in which you see the scenery move as if you are turning, looking up, etc. is using matrices to simulate those changes in perspective. Differential Equations is the intersection of Calculus and the solving of equations. The equations that we learn to solve in differential equations have variables that themselves represent functions or the rates of change of functions. Consider a 50 gallon tank full of pure water. Suppose that we open a spigot that pours into the top of the tank a mixture that is 10 % salt by volume, at a rate of 5 gallons per minute. From a second spigot at the bottom of the tank we extract the salt mixture at a rate of 5 gallons per minute. The volume in the tank remains constant, but the salt content changes with time. How much salt is in the tank after 10 minutes? After 50? Questions such as these are very easy to ask, but very difficult to answer without a solid understanding of calculus. Differential equations are the bread and butter of modern engineering. Without the tools and strategies learned in this course we could have no fancy bridges, jet airplanes, or small hand-held electronic devices. Proof-writing is the course in which students learn the art of writing truly rigorous math proofs. While the math content covered in a proof-writing course will change from school to school, the emphasis is always on helping students make the transition from computation-oriented courses such as Calculus and Differential Equations to the proof-based nature of the higher level courses. This course is generally where students first encounter math research in any meaningful way. Abstract Algebra is the study of number systems and how they work. We discuss the structures that different types of number systems must have in order to to be consistent. We also look at exotic examples of number systems that behave very strangely. For instance, we might examine a number system in which the multiplication operation fails to be commutative. Real Analysis is the technical study of the details behind Calculus. So yes, this is like really hard calculus. In this course we develop rigorous proofs of the concepts of limits, derivatives, and integrals. We then develop versions of these concepts for more abstract number systems. Complex Analysis brings the same tools of limits, derivatives, and integrals to bear in the study of the complex numbers. This is also like really hard calculus. Complex calculus. Topology is the study of shapes when we remove the notion of distance. Put another way, topology studies the properties of shapes that remain when we make them of rubber that we can stretch and smash to our hearts content. We also define in very rigorous terms what we mean by geometric notions such as open and closed sets, connectedness, compactness, etc. We then have fun applying all of these notions to exotic spaces where things do not turn out to work like we might expect them to. Non-Euclidean Geometry is the study of geometric structures in which our basic postulates from Euclidean geometry are tweaked slightly. Exotic spaces result, and many of the theorems that we take for granted in Euclidean geometry begin to fail. For instance, we no longer get the sum of angle in a triangle adding up to 180 degrees.
Unit 1: Relationships between Quantities and Reasoning with Equations Instructional Note: Standards N.Q.1-N.Q.3 should be emphasized throughout all units of instruction. These standards should not be taught in isolation. Reason quantitatively and use units to solve problems. N.Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. N.Q.A.2 Define appropriate quantities for the purpose of descriptive modeling. N.Q.A.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. Linear and Exponential Expressions Interpret the structure of expressions. A.SSE.A.1 Interpret expressions that represent a quantity in terms of its context. (Note: Limit to linear expressions and to exponential expressions with integer exponents.) a. Interpret parts of an expression, such as terms, factors, and coefficients. b. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P. Note: For the 2012-2013 school year, students have had some exposure to simplifying expression with integer exponents, but will need to review the following: Work with radicals and integer exponents. Use square root and cube root symbols to represent solutions to equations of the form x^2=p and x^3=p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that the square root of 2 is irrational. (8.EE.2) Relationships in One-Variable Create equations that describe numbers or relationships. A.CED.A.1 Create equations and inequalities in one variable and use them to solve problems. Limit to linear equations and inequalities. Understand solving equations as a process of reasoning and explain the reasoning. A.REI.A.1 Explain each step in solving a linear equation as following from the equity of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Note: Students have solve multi-step linear equations in Pre-Algebra. Pretest this standard and review as needed. Solve equations and inequalities in one variable. A.REI.B.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Note: Students have solve multi-step linear equations in Pre-Algebra. Pretest this standard and review as needed. Create equations that describe numbers or relationships. A.CED.A.4 Rearrange linear formulas to highlight a quantity of interest, using the same reasoning as in solving equations. Relationships in Two Variables Understand the concept of a function and use function notation. F.IF.A.1 Understanding F.IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Represent and solve equations and inequalities graphically. A.REI.D.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Create equations that describe numbers or relationships. A.CED.A.3 Represent constraints by linear equations or inequalities, and by systems of linear equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods. Unit 2: Linear and Exponential Relationships Representing Linear and Exponential Functions Understand the concept of a function and use function notation. F.IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + f(n – 1) for n greater than or equal to 1. Note: Connect F.IF.3 to students' experiences with arithmetic and geometric sequences from Pre-Algebra. Build a function that models a relationship between two quantities. F.BF.A.1 Write a function that describes a relationship between two quantities. a. Determine an explicit expression, a recursive process, or steps for calculation from a context. b. Combine standard function types using arithmetic operations. Construct and compare linear and exponential models and solve problems. F.LE.A.1 Distinguish between situations that can be modeled with linear functions and with exponential functions. a. Prove that linear functions grow by equal differences over equal intervals; and that exponential functions grow by equal factors over equal intervals. b. Recognize situations in which one quantity change at a constant rate per unit interval relative to another. c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. F.LE.A.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). F.LE.A.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasingly linearly or exponentially. Interpret linear and exponential functions that arise in applications in terms of a context. F.IF.B.4 For a and end behavior. F.IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function. F.IF.B.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Analyze linear and exponential functions using different representations. F.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and exponenial functions and show intercepts, maxima, and minima. e. Graph exponential functions, showing intercepts and end behavior. F.IF.C.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Build new functions from existing functions. F.BF.B.3 Identify the effect of the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the values of k given the graphs. Experiment with cases that illustrate an explanation of the effects on the graph using technology. Focus on vertical translations of graphs of linear and exponential functions. Relate the vertical translation of a linear function to its y-intercept. Interpret expressions for functions in terms of the situations they model. F.LE.B.5 Interpret the parameters in a linear or exponential function in terms of a context. Limit exponential functions to those of the form f(x) = bx + k. Modeling Data with Linear and Exponential Functions Summarize, represent, and interpret data on quantitative variables. S.ID.B.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Note: Students have informally seen scatter plots and line of best fit, but have not calculated line of best fit. a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear and exponential models. b. Informally assess the fit of a linear function by plotting and analyzing residuals. c. Fit a linear function for a scatter plot that suggests a linear association. Interpret linear models. S.ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. S.ID.C.8 Compute (using technology) and interpret the correlation coefficient of a linear fit. S.ID.C.9 Distinguish between correlation and causation. Systems of Equations and Inequalities Solve systems of equations. Note: For students in Algebra I in 2012-2013, this will be the first experience solving systems of equations. The following standards from Common Core 8 will need to be infused in this unit. Analyze and solve pairs of simultaneous linear equations. (8.EE.8) a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x+2y=5 and 3x+2y=6 have no solutions because 3x+2y cannot simultaneously be 5 and 6. c. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair. A.REI.C.5 Prove that, given a system of equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. A.REI.C.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. Note: This will be students first exposure to parallel and perpendicular lines in a coordinate plane. Represent and solve equations and inequalities graphically. A.REI.D.11 and exponential functions. A.REI.D.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. Unit 3: Descriptive Statistics Summarize, represent, and interpret data on a single count or measurement variable. S.ID.A.1 Represent data with plots on the real number line (dot plots, histograms, and box plots). Note: This will be the students first exposure to histograms. S.ID.A.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different sets. Note: Students should be comfortable finding mean and median. S.ID.A.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). Note: Include analysis of stem-and-leaf plots. Summarize, represent, and interpret data on two categorical and quantitative variables. S.ID.B.5 Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. Unit 4: Quadratic Functions and Modeling Graphical Analysis and Modeling of Quadratic Functions Perform arithmetic operations on polynomials. A.APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. Focus on polynomial expressions that are linear or quadratic in a positive integer power of x. Build a function that models a relationship between two quantities. F.BF.A.1 Write a quadratic function that describes a relationship between two quantities. a. Determine an explicit expression, a recursive process, or steps for calculation from a context. b. Combine standard function types using arithmetic operations. Analyze functions using different representations. F.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and quadratic functions and show intercepts, maxima, and minima. Interpret functions that arise in applications in terms of a context. F.IF.B.4 For a quadratic relative maximums and minimums, symmetries, and end behavior. F.IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationships it describes. Build new functions from existing functions. F.BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f Algebraic Analysis of Quadratic Functions Interpret the structure of expressions. A.SSE.A.1 Interpret quadratic expressions that represent a quantity in terms of its context. a. Interpret parts of an expression, such as terms, factors, and coefficients. b. Interpret complicated expressions by viewing one or more of their parts as a single entity. A.SSE.A.2 Use the structure of an expression to identify ways to rewrite it. Write expressions in equivalent forms to solve problems. Instructional Note: It is important to balance conceptual understanding and procedural fluency in work with equivalent expressions. For example, development of skill in factoring and completing the square goes hand-in-hand with understanding what different forms of a quadratic expression reveal. A.SSE.B.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a. Factor a quadratic expression to reveal the zeros of the function it defines. b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. Solve equations and inequalities in one variable. Instructional Note: Students should learn of the existence of the complex number system, but will not solve quadratics with complex solutions until Algebra II. A.REI.B.4 Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a+/-bi for real numbers a and b. Analyze functions using different representations. F.IF.C.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. a. Use the process of factoring and completing the square in a quadratic function to show zeroes, extreme values, and symmetry of the graph, and interpret these in terms of a context. Unit 5: Modeling with Other Functions Build new functions from existing functions. F.BF.B.4 Find inverse functions. Focus on linear functions, but consider simple situations where the domain of the function must be restricted in order for the inverse to exist, such as f(x) = x2, x > 0. a. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) = 2x3 or f(x) = (x + 1)/(x – 1) forx not equal to 1. Analyze functions using different representations. F.IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. Additional Objectives to Review/Teach for the HSA: Notes for Algebra I/Data Analysis H.S.A.: Objectives to review briefly prior to test: Use the concepts or ratio and proportion to solve problems. Determine the experimental probability of an event using real-world data.
Stock Status:(Out of Stock) Availability::Permanently Out of stock Product Code:NSAMT Qty: Description Contents_Samples New Syllabus Additional Mathematics is specially written for students preparing for the GCE "O" level examinations. The book covers the Ministry of Education, Singapore Syllabus for Secondary Mathematics implemented from 2007. The distinctive qualities of this book are its simple and direct treatment of each topic and its emphasis throughout on examples and practices. New concepts and principles are introduced using short, concise explanations which serve to lay the groundwork for advance students. The language used throughout is simple and theoretical explanations are kept to a minimum. Four sets of revision (review) exercises are provided for students to recapitulate what they have learnt. The more difficult questions are marked with an *. This book (first published in 1979) has been carefully revised to cover the complete syllabus for the Singapore-Cambridge G.C.E. 'O' Level Examination in Additional Mathematics. There is some reorganisation in the sequence of presentation in order to better prepare pupils for learning more difficult concepts. For example, in calculus, pupils are taught simple differentiation and its application before dealing with the differentiation of trigonometrical functions. We hope that pupils will find this approach easier to handle. Special Features Problem Solving Tips to enhance thinking skills IT activities to encourage computer-based leaning Your Attention to remind students of common errors Self-assessment to incite active learning and independent thinking Awareness of problem-solving strategies is systematically enhanced Thinking Time to provide opportunities for creative and individual thinking New Syllabus Additional Mathematics is ideal for both classroom and home use for 9th - 10th grades. Recommended for those who want a more in-depth coverage of advanced math topics than provided in the other series. It can be used in conjunction with, or after, New Elementary Math or New Syllabus Math. It covers pre-calculus and some calculus topics.
8 Developmental Arithmetic (3-0-3). Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is less than 15 or COMPASS Math score of 30 or less. Fundamental topics in arithmetic, geometry, and pre-algebra. 099 Developmental Algebra (3-0-3). Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is at least 15 but less than 19 or COMPASS Math score of 31 to 58. Fundamental topics in algebra for students with insufficient knowledge of high school level mathematics. PR: ACT Mathematics Main score of 15 or grade of "S" in MATH 098. 109 Algebra (3-0-3). Real numbers, exponents, roots and radicals; polynomials, first and second degree equations and inequalities; functions and graphs. PR: ACT Mathematics main score of 19 or grade of "S" in MATH 099. 211 Informal Geometry (3-0-3). Theorems are motivated by using experiences with physical objects or pictures and most of them are stated without proof. Point approach is used with space as the set of all points; review elementary geometry, measurement, observation, intuition and inductive reasoning, distance, coordinate systems, convexitivity, separation, angles, and polygons. No field credit for math majors/minors. PR: MATH 101 or higher. 220 Calculus I (4-0-4). A study of elements of plane analytical geometry, including polar coordinates, the derivative of a function with applications, integrals and applications, differentiation of transcendental functions, and methods of integration. PR: MATH 109 and MATH 110, or GNET 116, or ACT Mathematics main score of 26 or COMPASS Trigonometry score of 46 or above. 250 Discrete Mathematics (3-0-3). Treats a variety of themes in discrete mathematics: logic and proof, to develop students' ability to think abstractly; induction and recursion, the use of smaller cases to solve larger cases of problems; combinatorics, mathematics of counting and arranging objects; algorithms and their analysis, the sequence of instructions; discrete structures, e.g., graphs, trees, sets; and mathematical models, applying one theory to many different problems. PR: MATH 109 and MATH 110 or GNET 116. 290 Topics in Mathematics (1-4 hours credit). Formal course in diverse areas of mathematics. Course may be repeated for different topics. Specific topics will be announced and indicated by subtitle on the student transcript. PR: Consent of instructor. 400 Introduction to Topology (3-0-3). A study of set theory; topological spaces, cartesian products, connectedness; separation axioms; convergences; compactness. Special attention will be given to the interpretation of the above ideas in terms of the real line and other metric spaces. PR: MATH 240. 490 Topics in Mathematics (1-4 hours credit per semester). Advanced formal courses in diverse areas of mathematics. Courses may be repeated for different topics. Specific topics will be announced and indicated by subtitle on transcript. PR: Consent of instructor.
Geometric and Engineering Drawing is an established text suitable for GCSE and basic engineering courses. This book aims to cover the whole range of subject matter relevant to introductory courses in technical drawing, with diagrams free of irrelevant information and a large number of examples of an appropriate standard, many of them taken from past examination papers. Each of this books lessons contains one or more Try It sections that enable you to practice the concepts covered by that lesson. The Try It includes a highlevel overview, requirements, and stepbystep instructions explaining how to build the example.This DVD contains video screencasts showing a computer screen as we work through key pieces of the Try Its from each lesson. In the audio we explain what were doing stepbystep so you can see how the techniques described in the lesson translate into actions. (Note that Lesson 4 does not have an accompanying video lesson.) Regardless of which medium you prefer or what your project may be, drawing is essential to give your art a solid foundation. Learn the fundamentals of drawing to the detailed final touches; ideal for any skill level. You can trust Drawing magazine to be your single source for everything related to drawing. This course provides a comprehensive overview of the principles and basic marketing skills. Students will learn how marketing managers develop strategy, research consumer needs and identify target markets. In addition to covering the importance of global marketing and e-commerce, students will learn how to meet market opportunities with'' 4'' Ps - product, price, promotion and placement. Each video lesson includes a company ora case study of the organization with the core learning objectives. As each case study unfolds, students learn general concepts, definitions of terms history, product or service, and the latest trends in marketing. The study guide reinforces the content of the manual and video lesson, and includes exercises and practice drill foranall inclusive learning experience.
For Welders Math for Welders is a combination text and workbook that provides numerous practical exercises designed to allow welding students to apply basic math skills. Major areas of instructional content include whole numbers, common fractions, decimal fractions, measurement, and percentage. Provides answers to odd-numbered practice problems in the back of the
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":37.62,"ASIN":"0821804308","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":22.8,"ASIN":"0821846833","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":23.03,"ASIN":"0821868748","isPreorder":0}],"shippingId":"0821804308::Vfvobs7vznojhCoHwS%2BIuYrmZv9t7f2ImC29cNcn%2BO1QcJ%2FPeuz%2BhFkYGkkbR4b3P6%2BRHi5Tg%2BzCihzBccAKTdUkr76pZcuHPXGIchEK6Xs%3D,0821846833::kfLdVRt2nwkk6ppn9fP0bhDGeQpyR1NZzA2ZqwYxb79d0cOZtBdWsk6fOXIhggZ8ZSd7Xv7VPgkQm4TLqJW6yqKNoJ1n03uCwTTDLyedUIs%3D,0821868748::KNI8qzwFUM9Ypj7vjIofuOWwtAYITSt3AYPSf5VIPUoGy6GUfbQKpXYwwJTUcd2baliXCNmut2lGHo8pqErmesa5znHCVfibhBxF7UR%2F4zemPx4aaZBcThere is much to find, learn, and enjoy in this work for both students and teachers ... well-prepared mathematical amateurs will also be delighted ... throughout, the presentation and tone are charmingly appealing and appropriately "light", even when more difficult topics are under discussion ... a very worthwhile book; it most definitely belongs in every school and personal library." ----Mathematical Reviews "Could be considered among many other recreational mathematics books as one source of interesting problems to supplement instruction and encourage an appreciation for the beauty of mathematics." ---- Mathematics Teaching in the Middle School In sharp contrast to standard US math education, which is generally a death march from algebra to calculus, this book suggests a wonderful new way to organize the ideas of elementary mathematics. The organizational principle here is around fundamental ideas that underlie every mathematical proof ever conceived: parity, the pigeonhole principle, induction, counting (combinatorics), etc. Each section starts off with easy problems that anyone can get, and leads you through to more and more challenging illustrations of that section's principle; the last problems of each section are often quite sophisticated and rewarding. Do the problems in this book, and you can't help but just be smarter for it. When I was a kid, I was mystified by puzzle problems that I had no idea how to tackle, and intimidated by kids who could solve those types of problems. Had this book been available back then, it would have de-mystified those problems for me, and I would have acquired the kinds of skills and insights that make a real mathematician. Whatever your age, if you are interested in developing your core competencies in math, I can't think of a better endeavor than to do all the problems in this book. If I were the US Secretary of Education, I would make solving all the problems in this book a mandatory requirement for all math teachers, and all graduating high school students. Even a partial implementation of such a policy would make this country mathematically literate in a way that we can't even conceive of today. It would de-mistify mathematical "genius" on a global scale. Russia perennially places among the top three performers in the International Mathematical Olympiad, the world's most prestigious mathematical competition for high-school students. The "mathematical circle" is undoubtedly one element of the mathematical culture that has contributed to Russia's success in that competition. A Russian mathematical circle is not a geometrical shape, but rather a group of mathematically motivated students guided by a university-level mathematician who helps the students enlighten themselves about simple, yet beautiful and powerful, mathematical concepts. Fomin's Mathematical Circles is a strikingly elegant, practical tool for enabling American high-school teachers and math coaches to replicate the Russian mathematical circle here. Mathematical Circles has two parts, each intended to be taught over one year. The first part has sections covering parity, combinatorics, divisibility and remainders, the pigeon-hole principle, graphs, the triangle inequality, and games. The second part has sections covering more advanced topics in divisibility, combinatorics, and graphs, as well as sections on invariants, number bases, geometry, and inequalities. Each section begins with a short introduction addressed to the teacher and then proceeds to a series of problems periodically interspersed with concise explanations about new concepts being introduced through the problems and pedagogical advice related to those concepts. In any given section, the first problem is generally extraordinarily simple. The first problem in the parity section is: Problem 1. Eleven gears are placed on a plane, arranged in a chain as shown [in a diagram with eleven gears interlocking in a circular arrangement]. Can all the gears rotate simultaneously? What a beautiful first problem this is for illustrating the utility of the parity concept as a mathematical tool! The parity-based argument not only leads rapidly to a solution, but also disposes of the whole class of problems of this sort, regardless of the number of gears. In the inequality section, Fomin introduces the triangle inequality, the most important inequality in elementary geometry. When this inequality is proved in conventional American geometry textbooks, the proof generally involves the construction of an altitude and comprises multiple lines of statements and reasons. Fomin's proof is algebraic and comprises all of one line. Mathematical Circles overflows with such poetry. The problems are well conceived, well composed, well sequenced, and outright interesting. For those teachers interested in deepening their own understanding of mathematics, in search of material to enhance the traditional curriculum, or coaching math clubs or teams, Mathematical Circles is an invaluable tool. I recommend it without reservation.Read more › I bought this book to help me learn how to solve problems. However, when it arrived, I realised it was destined as a book for 12 to 14 year old students. Still, I gave it a try ( I am 19 years old). The problems are well stated, easy to do, and methodologicaly sound. I found the problems too easy, but my little brother ( 9 years old ) had trouble. It's great for some young students who would like to learn the basics of problem solving.
Teach Algebra: Write Exprssns - MAT-960Teach Algebra: Write/Simplifying Expressions - Teaching the first ideas of Algebra is extremely important to give students the foundation that they will need to succeed in math courses for years to come. This course, and the accompanying AIMS lessons, will help any teacher build a strong foundation in Algebraic principles using hands-on activities. Primarily focused on the Common Core standard 6.EE, these lessons use four big ideas along with activities, video demonstrations and animations to reinforce the concepts. Teachers will also reflect on the lessons based on concepts from the National Board for Professional Teaching Standards in an effort to bridge content and pedagogy. Connect With Testimonial "I really enjoyed this course! It has helped broaden my approach to teaching. I have learned many new practical applications and I'm very excited about implementing them into my classroom! My professor was always very helpful and prompt to answer my questions."
Foundation ActEd Course What is the Foundation ActEd Course? The Foundation ActEd Course (FAC) is designed to help students improve their mathematical skills in preparation for the Core Technical subjects. It is a reference document to which students can refer when they need help on a particular topic. Each chapter contains explanatory notes, examples and self-assessment questions to test understanding. There is also a Summary Test and a Question and Answer Bank providing extra practice for students. Why purchase Foundation ActEd Course? The Actuarial Profession produces guidance on the mathematics skills required by students joining the profession. FAC reflects this guidance and therefore comprehensively covers all the mathematics required for the Core Technical subjects. Unlike other mathematical textbooks it is geared specifically towards actuarial students. Which topics does the Foundation ActEd Course cover? FAC covers the mathematical material needed as the background for Subjects CT1, CT3, CT4, CT5, CT6 and CT8. Many of the topics covered are beyond the scope of A-Level or Higher Level syllabuses. The topics covered by FAC include: Notation and conventions used in financial and actuarial mathematics Differentiation and integration techniques Complex numbers Algebra, including summation of series and binomial expansions A sample of the Course Notes and the full Syllabus for FAC can be downloaded at the end of this section. Which students will benefit from the Foundation ActEd Course? Students with numerate degrees and a good memory of the topics covered in A-Level or Higher Level mathematics may not need to purchase this course. Many other students (particularly those with less numerate degrees or those whose maths is a little rusty) will benefit greatly from the study material and practice questions provided by FAC. We have written an Initial Assessment to help employers assess whether or not a student would benefit from the Foundation ActEd Course. There are 18 questions which are typical of problems that will be encountered in the context of the actuarial exams and which are covered in detail in the course. Students should attempt the Initial Assessment without reference to a textbook and should take around 60 minutes. The Initial Assessment and full solutions are available at the end of this section. Does ActEd provide face-to-face tuition? We have an Online Classroom available for FAC consisting of pre-recorded tuition with plenty of worked examples. A sample unit can be found below: Complimentary access will be given to all new students for the 2014 session when they purchase their first CMP or a paper copy of FAC. If your company would like to give new students a flying start to their study we are happy to run a full-day face-to-face in-house maths refresher tutorial. Please contact Bev Butler to discuss your requirements.
Units Summary: This module is part of a collection of modules intended for use by students enrolled in a PreCalculus (MATH 1508) at the University of Texas at El Paso. Units Introduction Engineering is a field of study that involves a very high level of calculations. Thus students of engineering must become familiar with a wide range of formulas and computational methods. Virtually all the calculations that engineers perform involve the use of units. Because many calculations involve the use of multiple units, an engineer must become competent in the process of unit conversions. Unit conversions allow an engineer with the ability to convert units in one system of measurement (say, the British system of measure) to those of another system (say, the System Internationale or SI system of measure.) Units and unit conversion are important not just to engineers, but all members of society. Everyday activities such as driving an automobile, shopping at a grocery store, or visiting an pharmacy illustrate situations where an individual experiences units and unit conversions. Let us consider driving an automobile. A simple glance at a vehicle's speedometer reveals that the speed of the vehicle can be expressed in the units miles/hour or kilometers/hour. Depending upon the country in which you reside, gasoline is sold in the units of gallons or liters. At the grocery store, the volume of a can of your favorite soda is often expressed in terms of ounces or milliliters. Likewise, the dosage of cough syrup that you obtain from your local pharmacy can be expressed in terms of the units ounces or milliliters. This list of examples from everyday life that involve units can be expanded without bound. Whenever an engineer deals with a physical quantity, it is essential that units be included. Units are especially important to engineers for they provide the ability for engineers to express their thoughts precisely and to provide meaning to the numerical values that result from engineering calculations. Units provide a means for engineers to communicate results among other engineers as well as laymen. Units are an integral part of what could be called the language of engineering. As a student of engineering, you should become accustomed to the inclusion of units with virtually all your answers to engineering problems. Failure to include units with your numerical results can lead to your having points deducted from your grades on assignments, laboratory exercises and examinations. Metric Mishaps Failing to include the proper units with the results of engineering calculations can lead to unanticipated failures in engineering systems. Serious errors that result from the dual usage of metric and non-metric units are often grouped under the heading of metric mishaps. Some common examples of metric mishaps include the following: According to the National Transportation Safety Board, confusion surrounding the use of pounds and kilograms often results in aircraft being overloaded and unsuited for flight. The Institute for Safe Medication Practices has reported that confusion between the units grains and grams is a common reason for errors associated with the dosage of medication. A Notable Engineering Failure: The NASA Mars Climate Orbiter In 1999, NASA experienced the failure of its Mars Climate Orbitor spacecraft because a Lockheed Martin engineering team used English units of measurement while a NASA engineering team used the more conventional metric system for a key spacecraft operation. (NASA, 1999). This mismatch in units prevented the navigation information from transferring properly as in moved between the Mars Climate Orbiter spacecraft team in at a Lockheed Martin ground station in Denver and the flight team at NASA's Jet Propulsion Laboratory in Pasadena, California. Working with NASA and other contractors, Lockheed Martin helped build, develop and operate the spacecraft for NASA. Its engineers provided navigation commands for Climate Orbiters thrusters in British units although NASA had been using the metric system predominantly since at least 1990. After a 286 day journey, the spacecraft neared the planet Mars. As the spacecraft approached the surface of Mars, it fired its propulsion engine to push itself into orbit. Instead of the recommended 276 kilometer orbit, the spacecraft entered an orbit of approximately 57 kilometers. Because the spacecraft was not in the proper orbit, its propulsion system overheated and was subsequently disabled. This allowed the Mars Climate Orbiter to plow through the atmosphere out beyond Mars. It is theorized that it could now be orbiting the sun The primary cause of this discrepancy was human error. Specifically, the flight system software on the Mars Climate Orbiter was written to calculate thruster performance using the metric unit Newtons (N), while the ground crew was entering course correction and thruster data using the Imperial measure Pound-force (lbf). This error has since been known as the metric mixup and has been carefully avoided in all missions since by NASA. Unit Conversion Procedure The process of transforming from one unit of measure to another is called unit conversion. One can easily perform unit conversion using the procedure that will be presented in this section. You will soon discover that performing unit conversion can be reduced to multiplying one measurement by a carefully selected form of the integer 1 to produce the desired measurement. Prior to presenting the procedure of unit conversion, it is important to understand a simple fact. Numbers with units such as 25.2 kilometers or 36.7 miles can be thought of and treated in exactly the same manner as coefficients that multiply variables, such as 25.2 x or 36.7 y. Of course here, x and y are variables. From Algebra, we know that we can always multiply a quantity by 1 and retain its value. The key idea of unit conversion is to choose carefully the form of 1 that is used. We will illustrate this idea by means of an example. Suppose that we wish to convert 25.2 kilometers to miles. In order to accomplish this conversion of units, it is important that one know the following information Thus we establish the result that 25.2 km is equivalent to 15.65 miles. In obtaining the result, we developed a fraction that was equal to the integer 1. We then multiplied our original quantity by that fraction to give rise to our result. This is the basic idea behind unit conversion. A Two-Step Procedure for Producing Correct Unit Conversion Factors Here we will present a simple two-step procedure that produces the conversion factor that can be used to convert between a given unit and a desired unit. For the purpose of illustration, let us use the conversion between the given unit (pounds) and the (desired) unit of kg. Step 1: We begin by writing an equation that relates the given unit and the required unit. So to covert from pounds to kg we may use this as the proper conversion factor. Another Notable Engineering Failure: The "Gimli Glider" Like the NASA Mars Climate Orbiter, the "Gimli Glider" incident is an engineering failure that can be attributed directly to the errors involving the mismatch of units. The "Gimli Glider" is the nickname of the Air Canada commercial aircraft that was involved in an incident that took place on July 23, 1983. In the incident, a Boeing 767 passenger jet ran out of fuel at an altitude of 26,000 feet, about midway through its flight from Montreal to Edmundton via Ottawa. The aircraft safely landed at a former Canadian Air Force base in Gimli, Manitoba, thus contributing to the nickname associated with the aircraft. (New York Times, 1983) We will trace some of the steps that led to the incident while making use of data drawn from the website (Wikipedia). Air Canada Flight 143 originated in Montreal. It safely arrived in Ottawa on its first leg. At that time, the pilot properly determined that the second leg of the flight (from Ottawa to Edmundton) would require 22,300 kilograms of jet fuel. The ground crew at the Ottawa airport, performed a dipstick check on the fuel tanks. They measured that there were 7,682 liters of fuel onboard the aircraft upon its arrival to Ottawa. Based on these data, the air and ground crew proceeded to calculate the amount of jet fuel that would need to be transferred to the fuel tanks in order to assure safe arrival in Edmundton. However, they used an incorrect conversion factor in their calculations. At the time of the incident Canada was converting from the Imperial system of measurement to the metric system. The new Boeing 767 aircraft were the first of the Air Canada fleet to calibrated to the new system, using kilograms and liters rather than pounds and Imperial gallons. The crew wished to convert the 7,682 liters of fuel to its equivalent went in kilograms. In order to do so the crew applied an incorrect conversion factor (1 liter of fuel weighs 1.77 kg.) Actually, 1 liter of fuel weighs 0.803 pounds, but the crew used an improper weight. The crew inaccurately calculated ed the weight of the fuel onboard the aircraft to be 13,597 kilograms. The erroneous calculation is shown below. Finally, the volume of fuel in liters that needed to be transferred to the fuel tanks before departure for Edmundton was calculated. Once again, the erroroneous conversion factor was used as shown below As consequence of these steps, the ground crew transferred 4,916 liters of jet fuel into the fuel tanks. Both the air and ground crews incorrectly believed that this volume of jet fuel (4,916 liters) would be sufficient to insure a safe arrival in Edmundton. Unfortunately, the sequence of calculations contained errors and the aircraft was forced to glide to a safe landing well short of its desired target. Let us now examine the steps of calculation that should have been performed and that would have enabled a safe landing of the aircraft in Edmundton. We first determine the correct weight of fuel that remained in the fuel tanks upon the aircraft's arrival in Ottawa. Here, we use the proper conversion information. That is one liter of jet fuel weighs 0.803 kilograms. So only 6,169 kilograms of fuel remained in the fuel tank when the aircraft landed in Ottawa. The next step involves the determination of how much fuel needed to be transferred to the fuel tank in order to accomplish the flight to Edmundton. This is properly computed by differencing the weight of the fuel needed to accomplish the flight to Edmundton and the weight of the fuel remaining in the fuel tanks. Thus a quantity of jet fuel weighing 16,131 needed to be transferred by the ground crew into the fuel tanks in order to insure the safe arrival of the aircraft in Edmundton. This weight of fuel (kilograms) can be converted to a volume (liters) as follows We conclude that 20,088 liters of fuel needed to be transferred to the fuel tank to successfully complete the leg of the flight from Ottawa to Edmundton. This represents approximately 4 times as many liters of fuel as was incorrectly calculated by the air and ground crew in 1983. The inadequacy in the provisioning of fuel resulted in the "Gimli Glider" having to perform an emergency landing well short of its desired arrival location. Due to some skillful piloting of the aircraft, no one onboard was seriously injured. Summary This chapter has attempted to illustrate the level of importance that engineering students should assign to the topic of units. In addition, a procedure that allows for the conversion of a quantity expressed in one unit to another unit has been presented. This method is quite simple in that all it requires is that one multiply the quantity expressed in the original unit to be multiplied by a fractional form that is equal to the integer 1. A process for correctly determining the proper fractional form is presented also. Engineering students should view mastering the topic of units as an importance step in their formal education as an engineer. They should keep in mind that virtually all problems in engineering courses will involve solutions that include units. Events surrounding the NASA Mars Climate Orbiter and the "Gimli Glider" show how seemingly small mistakes involving units and conversion factors can cause failures to complex systems. Exercises How many millimeters, centimeters and meters are in 62.8 inches? Use 1 inch = 2.54 centimeters. Express each answer using 3 significant digits of accuracy. Find the range of temperature in degrees Fahrenheit (⁰F) for the following range of temperatures in degrees centigrade/Celsius (⁰C): -15⁰C to +25⁰C . "Normal" body temperature is said to be 98.6⁰F + 0.6⁰F. Convert these values to Celsius and give the answer in terms of minimum and maximum values. If a computer file is 8.2 gigabytes and the effective transfer rate is 41 megabits per second, how long does it take to transfer the file from one location to another? Assume that 1 byte = 8 bits. Homeostasis is the condition of keeping our bodies alive by regulating its internal temperature and maintaining a stable environment. Approximately 2,000 calories per day are required to maintain the human body. It is known that 1 calorie is equivalent to 4.184 joules and that one watt is equivalent to one joule per second. Determine the number of watts that are equivalent to 2,000 calories/day
This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus,... see more This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are entered. A collection of mathlets for Precalculus, Single Variable Calculus, Multivariable Calculus and Vector Analysis, Parametric... see more A collection of mathlets for Precalculus, Single Variable Calculus, Multivariable Calculus and Vector Analysis, Parametric Curves and Surfaces, Derivatives, Integrals and Integration Theorems, and Topology and Geometry. This website is intended to provide extra learning resources in algebra for middle school and high school students. The... see more This website is intended to provide extra learning resources in algebra for middle school and high school students. The approach is to teach math concepts in basic terms using examples and diagrams, if necessary. This is a collection of activities for use in precalculus and single variable calculus. It is prefaced by a brief summary of... see more This is a collection of activities for use in precalculus and single variable calculus. It is prefaced by a brief summary of what I know about group learning and how I use the activities. Many activities are quick combinations of discovery and practice. The statistics gets a bit lengthy, but I thought I'd include it anyway. As far as I recall, my text is only mentioned once and this posting should not be considered a commercial. Use the activities any way you want. The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems... see more The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. The single-topic units can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and environmental science.
Notes: Instructional program. Program content: c1999. "Recommended for junior high, high school, college and beyond!"--Container. "CE657"--Container. Summary: Instruction on the basics of mathematics presented in a lively manner. Covers: integers; decimals; addition and subtraction; multiplication and division; percents; exponents; the order of operations; fractions; prime and composite numbers; ratios.
-printed headings, provide a structure for the problems, which helps students get started and saves them time. Additional blank forms are included.Hide synopsis Description:Fair. Some exercises solved in pencil, Item is intact, but may...Fair. Some
This section is a Distance Learning course taught using Blackboard via the Internet. Proctored testing is required for this class. Tests may be taken at TNCC's Testing Center or, for those who live a distance away, at another prearranged site. The testing site and proctor must be approved by the instructor. Typically there will be 3 to 5 proctored tests/exams required. Students must have regular access to a computer and the Internet to successfully complete this course. Orientations for Spring 2014 will be held on Thursday, January 9, from 5-6 pm in the Mary T. Christian Auditorium in Templin Hall on the Hampton Campus and Wednesday, January 85 as demonstrated through the placement and diagnostics tests, or by satisfactorily completing the required Math Essentials units or equivalent. Presents topics in sets, logic, numeration systems, and selected topics in algebra and geometry. The course will include computer applications. Lecture 3 hours per week.
Shortcuts to Ace the SAT* (New SAT*) and the New PSAT/NMSQT Most SAT preparation books on the market offer a review of arithmetic algebra and geometry and include general strategies with practice exams. Unlike ...Show synopsisMost SAT preparation books on the market offer a review of arithmetic algebra and geometry and include general strategies with practice exams. Unlike these traditional study guides, this book is a supplement with 34 specific shortcuts and strategies for the mathematics portion of SAT and PSAT college entrance exams. Fractions, quantitative comparisons, square roots, algebraic expressions, and geometric concepts are just a few of the topics that are covered. Each shortcut is described in a step-by-step method and examples are provided. A concise summary of formulas and concepts along with a glossary of terms is also included. Students who need an extra edge on the mathematical portion of these tests will benefit from the specific strategies Math Shortcuts to Ace the SAT & PSAT. This book is in Good...Good. Math Shortcuts to Ace the SAT & PSAT

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