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Students solve exponential equations using logarithms. In this solving exponential equations using logarithms lesson, students read a story on their Ti-Nspire about exponentials and logarithms. Students solve problems in the story using logarithms. Students use the power, product, and quotient properties to solve the stories' problemsYoung scholars review and analyze topics needed to be successful in calculus. In this precalculus lesson plan, students review the unit circle and its properties. The trigonometric ratios and its identities.
Pupils explore optimization problems. In this Pre-Calculus/Calculus/Algebra II lesson plan, students use Geometer's sketchpad to investigate the dimensions of the largest rectangle that can be inscribed under a parabola. Pupils use their findings to solve optimization problems.
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review basic algrebra terminology that could be useful in the present.
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called Froggy and Wanda.
Learners investigate step functions. In this Algebra II/Pre-calculus lesson, students examine various taxi fare schemes and model the fares with step functions by making use of the calculator's greatest integer function's step function properties.
Students explore scatter functions. In this pre-calculus lesson, students model data, evaluate the function and use their model to interpolate or predict end behavior of the function. The lesson employs the use of a graphing calculator.
Students explore an optimization problem. In this Pre-Calculus activity, students investigate a problem in which the distance between three points is minimized in order to determine the location of a switchboard. Students use Geometer's Sketchpad to explore and generate data, and use that data to hypothesize a function to describe the problem relate polynomials to real life situations. In this algebra instructional activity, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Baseball and statistics go hand-in-hand and knowing how to interpret, compare, and display this information is a key skill for any middle schooler. Using two sets of data, have young statisticians answer questions by constructing and comparing different representations of the data especially lineplots (dotplots), stemplots (including back-to-back stemplots) five number summaries, and boxplots.
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning calculator, it is also a computer algebra system (CAS).
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can provide.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16 |
Green, CA Physics, day-to-day uses (eg. in playin...In introductory linear algebra, this is done using the technique of elimination which works for systems of two or three equations. However, when more than three equations need to be solved simultaneously, one needs to begin using arrays and matrices. Thus, central to linear algebra is the study of matrices and how to perform basic operation such as matrix multiplication. |
MATH 125: Mathematical Perspectives (3 cr). Exploration of easily accessible, engaging, and thematically connected mathematical ideas as a vehicle to lead students to experiences that are characteristic of the mathematical enterprise. (Prerequisite: MATH 105 or by placement.)
MATH 147: Calculus from an Historical Perspective (3 cr). An overview of concepts from differential and integral calculus through excerpted readings in English translation of original texts which emphasizes connections with developments in science and philosophy. (Prerequisite: MATH 120 or by placement.)
MATH 150: Elements of Calculus I (3 cr). Modeling data with polynomial functions, exponential functions, and logistic functions. Rates of change and the derivative. Application of the derivative including optimization and inflection points. Result of cumulative change and the definite integral. (Prerequisite: MATH 120 or by placement.)
MATH 154: Milestones in Mathematics (3 cr). Charts milestones in various branches of mathematics through the reading of original sources: number theory, infinity, Euclidean and non-Euclidean geometry, and algebra are all possible threads of development. (Prerequisite: MATH 120 or by placement.)
MATH 158: General Statistics II (3 cr). Building upon the introductory material presented in MATH 156 (or equivalent), this is a second course in statistical methods and data analysis. The course objectives are: 1) To study in detail the distinctions between observational studies and controlled experiments, the questions they can address and what types of statistical methods are appropriate for analyzing them 2) To learn some basic statistical tools used to analyze data, such as: 2 sample t-tests, analysis of categorical data and Goodness-of-Fit tests, multiple comparison procedures, multiple regression, analysis of variance (ANOVA), nonparametric methods (such as the randomization test and the rank-sum test), and log transformations 3) To get hands-on experience analyzing data and computing with data (using R) 4) To gain experience in interpreting the results of a statistical analysis and communicating the results to others. (Prerequisite: MATH 156, or MATH 116 with minimum grade of B.)
MATH 169: Precalculus (3 cr). This is a study of linear, polynomial, rational, exponential, logarithmic, and trigonometric functions from symbolic, graphical, and numerical perspectives. Topics include algebraic and analytic properties of functions; sums, differences, products, quotients, and composites of functions; inverse functions; and functions as models. (Prerequisite: By placement.)
MATH 170: Calculus I (4 cr). Limits and continuity. Transcendental functions. The derivative, techniques of differentiation, and applications of the derivative. Parametric equations. The definite integral, numerical integration, antiderivatives, and method of substitution. (Prerequisite: MATH 169 or by placement.)
MATH 201: Foundations of Arithmetic - ECED (3 cr). Concepts necessary for understanding the structure of arithmetic and its algorithms (with whole numbers, integers, fractions and decimals), number patterns, and introductory probability and statistics. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 202: Geometry and Measurement - ECED (3 cr). Concepts necessary for an understanding of basic geometry: shapes in one, two, and three dimensions, scientific measurement and dimensional analysis, congruence and similarity of figures, compass and straightedge constructions, transformations, and coordinate geometry. Use of computer software to explore geometric concepts. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 211: Foundations of Arithmetic - MCED (3 cr). Concepts necessary for understanding the structure of arithmetic, its algorithms and properties (with whole numbers, integers, rational and irrational numbers), basic set theory and introductory number theory. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 212: Geometry and Measurement - MCED (3 cr). Concepts necessary for an understanding of basic geometry: shapes in one, two, and three dimensions, scientific measurement and dimensional analysis, congruence and similarity of figures, compass and straightedge constructions, transformations, coordinate geometry, conjecture and proof, perspective drawing and introductory trigonometry. Use of computer software to explore geometric concepts. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 213: Algebra Concepts - MCED (3 cr). Development of algebraic problem solving, polynomials, linear, quadratic and exponential equations and functions, pattern representation, sequences and series. Use of technology and manipulative materials in the teaching of algebra. (Restrictions: Must be enrolled in one of these programs: Master of Education, B.S. in Education.)
MATH 257: Data Modeling (3 cr). This is a course on applied statistics, which is supported by a statistical free-software R. The course aims to prepare a student to be a successful research manager, who can churn through huge data points and show where patterns emerge. The fundamental statistical methods as applied to practical problems will be taught in greater detail, so that the student will be able to extract meaningful statistics from raw data. The content includes methods of curve fitting, transformations of data, various regression techniques for both linear and nonlinear regressions, the generalized linear model, model selections and diagnostics, analysis of the categorical data, analysis of variance, and distribution free procedures. (Prerequisite: MATH 256.)
MATH 280: Combinatorics (3 cr). An introduction to counting techniques of discrete objects. The enumeration of sets, permutations and combinations, the binomial and multinomial theorem will serve as an appetizer; counting methods including the inclusion-exclusion principle; the pigeonhole principle, generating functions, and recurrence relations will be the main course. Applications of combinatorial techniques and problem solving will be emphasized. [Optional: finite geometries, permutation groups, latin squares, designs, and codes.] (Prerequisite: MATH 225.)
MATH 300: History of Mathematics (3 cr). Some of the highlights in the historical development of mathematics with special attention given to the invention of non-Euclidean geometry and its importance for mathematics and Western thought. (Prerequisites: MATH 220, MATH 240.)
MATH 303: Mathematical Logic (3 cr). Axiomatic development of propositional calculus, functional complete sets of operators, axiomatic development of the first order function calculus, the existential operator, the algebra of logic. (Prerequisite: MATH 225.)
MATH 316: Cryptology (3 cr). In this course we will be exploring cryptology - the making and breaking of secret ciphers and codes. We will start with classical ciphers: shift, affine, Vigenere, substitution, Hill, one-time pads, Enigma, etc. Then after a brief introduction to number theory, we will start on modern methods: the RSA algorithm, DES, and AES: Rijndael. If time permits, we will also explore discrete logarithms and elliptic curves. All codes will be placed in historical perspective by exploring the political and military contexts in which they were devised, through readings in The Code Book. (Prerequisite: MATH 225.)
MATH 370: Real Analysis (3 cr). Rigorous development of calculus of functions of a single variable. The real number system, topology of the real line, continuity, uniform continuity, the derivative, the Riemann integral, sequences and series of real numbers, and uniform convergence. (Prerequisites: MATH 220 and MATH 225.)
MATH 385: Secondary Mathematics from an Advanced Perspective (3 cr). The Mathematical Education of Teachers, a 2001 report of the Conference Board of the Mathematical Sciences, recommended that prospective teachers of high school mathematics take a capstone course in which "conceptual difficulties, fundamental ideas, and techniques of high school mathematics are examined from an advanced prospective". This course is intended to fulfill such a role for Xavier students pursuing secondary licensure. The primary learning mechanisms will be reading, problem solving, and communicating and justifying one's mathematical thinking to others, both verbally and in written form. Although the mathematical content of this ocurse is rooted in high school mathematics, we will approach it from a sophisticated undergraduate level that emphasizes the many interconnections among high school mathematics topics and includes analyses that reveal important insights and understandings not always considered in other undergraduate mathematics courses. (Prerequisite: MATH 340.)
MATH 391: Mathematics Seminar 1 (1 cr). Juniors (MATH 391) and seniors (MATH 393) meet together in the spring semester. Students will read selections from the mathematical literature, explore how to write mathematics effectively, learn how to use technical word processing tools, practice how to communicate mathematical ideas and give oral presentations. (Restriction: Must be enrolled as a major in mathematics.)
MATH 392: Mathematics Seminar 2 (1 cr). Each senior will meet with a faculty advisor to work on an individual research project. (Restriction: Must be enrolled as a major in mathematics.)
MATH 393: Mathematics Seminar 3 (1 cr). The student will write a paper and give a formal presentation describing the project developed during MATH 392. (Prerequisite: MATH 392; Restriction: Must be enrolled as a major in mathematics.)
MATH 397: Special Study (0-6 cr). Credit by special arrangement. Area to be specified. (Prerequisite: MATH 225.) |
Calculus Tests and Worksheets - All Grades - Help TeachingA library of free printable worksheets plus hundreds of Calculus questions
created ... Determine the intervals where the function is monotonically increasing
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Calculus Teaching Resources - TeachersPayTeachers.comThis is a free activity for AP CALCULUS AB Students. If you find this .....
Derivatives of Trig Functions Worksheet and Sticker Graphic Organizer. 4.0. This
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Calculus I workbook for high school calculus course - Make It Real Make It Real Learning Calculus I workbook contains activities with real-world
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CALCULUS WORKSHEET ON OPTIMIZATION Work the following CALCULUS . WORKSHEET ON OPTIMIZATION. Work the following on notebook
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Students are introduced to transforming equations, inequalities, functions and ... |
Ian Wild
A physicist by profession, Ian's career has always focused primarily on communication and learning.
Fifteen years spent in private industry designing communication systems software eventually saw Ian concentrate on the development of accessibility and learning aids for blind, partially sighted, dyslexic and dyscalculic computer users - whilst also working part-time as a math and science tutor.
Teaching only part-time meant not spending as much time with his students as he would have wanted. This and his background in learning and communication technology
What you will learn from this book
Integrate interactive presentations and explore different ways to include them in your course
Create your own SCORM activities using both free and commercial tools
Add rich animation and fun games by incorporating Flash games and activities for engaging your students
Build feature-rich quizzes and set online assignments
Monitor student progress and assess your teaching success
Configure Moodle to display the complete set of mathematical symbols and objects
In Detail
Moodle is a popular e-learning platform that is making inroads into all areas of the curriculum. Using moodle helps you to develop exciting, interactive, and engaging online math courses. But teaching math requires use of graphs, equations, special notation, and other features that are not built into Moodle. Using Moodle to teach Mathematics presents its own challenges.
The book will show you how to set-up a Moodle course to support the teaching of mathematics. It will also help you to carefully explore the Moodle plugins that allow the handling of equations and enable other frequently used mathematical activities.
Taking a practical approach, this book will introduce you to the concepts of converting mathematics teaching over to Moodle. It provides you with everything you need to include mathematical notation, graphs, images, video, audio, and more in your Moodle courses. By following the practical examples in this book, you can create feature-rich quizzes that are automatically marked, use tools to monitor student progress, employ modules and plugins allowing students to explore mathematical concepts. You'll also learn the integration of presentations, interactive math elements, SCORM, and Flash objects into Moodle. It will take you through these elements in detail and help you learn how to create, edit, and integrate them into Moodle.
Soon you will develop your own exciting, interactive, and engaging online math courses with ease.
Teach mathematics using the Moodle e-learning platform
Approach
The book presents the reader with clear instructions for setting up specific activities, based around an example maths course (Pythagorean Theorem) with plenty of examples and screenshots. No Moodle experience is required to use the book, but the book will focus only on activities and modules relevant to teaching mathematics. We will assume that the reader has access to a working installation of Moodle. The activities will be appropriate for teaching math in high schools and universities.
Who this book is for
The book is aimed at math teachers who want to use Moodle to deliver or support their teaching. The book will also be useful for teachers of "mathematical sciences", or courses with a significant mathematical content that will benefit from the use of some of the tools explored in the book. |
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 American Mathematical Association of Two-Year Colleges (AMATYC) has compiled a collection of mathematics resources related to various subjects and disciplines. ?Math Across the Community College Curriculum? is the...
This lesson was created by Larry Friesen and Anne Gillis for Butler Community College. It will help physics and calculus students differentiate between the uses of vectors in mathematics vs. physics. This website...
Developed by Tina Fujita, James Hawker, and John Whitlock of Hillsborough Community College, these five curriculum guides integrate mathematical and biological concepts. These guides can be used in mathematics courses...
Created by art historian Mary Wills and physicist Rebecca Hartzler of Edmonds Community College, this course helps students understand the interconnectedness of art and physics in the early European Renaissance. ... |
MA 125 Intermediate Algebra Daniels, James provide the student with a more in depth understanding of algebra the student will discuss, practice and collaborate on following algebraic procedures and practical applications of algebra in real life. This course will enable students to use algebraic techniques to solve systems of equations, determine maximum and minimum values, find areas and dimensions of figures, and solve rate problems.
Class Assessment:
Your final grade will be determined as follows:
Homework - 15%
Quizzes - 50%
Final Exam - 35%
Grading:
Your course grade will be determined after weighing your scores on homework, quizzes and the final exam. A letter grade is then assigned:
A: 90 - 100
B: 80 - 89
C: 70 - 79
D: 60 - 69
F: Less than 60 or more than three unexcused absences
Late Submission of Course Materials: No work is accepted beyond one class after the end of the unit unless an excused absence.
Classroom Rules of Conduct: Students are expected to attend all classes on time and prepared. Classes missed for legitimate reasons are excusable. The student will make up all work for classes missed.
Course Topic/Dates/Assignments:
25 Oct Review of Chapter 1
27 Oct Review of Chapter 2
1 Nov Quiz #1
3 Nov Review Chapter 3
8 Nov 4.1 - 3
10 Nov 5.1 - 3
15 Nov 5.4, 5; Take Home Quiz #2
17 Nov Review Chapter 6
22 Nov 7.1 - 3
24 Nov 7.4 - 6; Take Home Quiz #3
29 Nov 8.1 - 3
1 Dec 8.5 - 7
6 Dec 9.1 - 9.3
8 Dec 9.4 - 6; Take Home Quiz #4
13 Dec Final Exam Review
15 Dec Cumulative Final Exam
Various problems will be assigned for each section covered |
Fundamentals of Algebra and Trigonometry - 9th edition
Summary: This classic in the series of highly respected Swokowski/Cole mathematics texts retains the elements that have made it so popular with instructors and students alike: it is clearly written, the time-tested exercise sets feature a variety of applications, its exposition is clear, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent. Now this Ninth Edition of Fundamentals of Algebra and Trigonometry has been impr...show moreoved in three important ways. First, discussions have been rewritten to enable students to more easily understand the mathematical concepts presented. Second, exercises have been added that require students to estimate, approximate, interpret a result, write a summary, create a model, explore, or find a generalization. Third, graphing calculators have been incorporated to a greater extent through the addition of examples and exercises as well as the inclusion of a cross-referenced appendix on the use of the TI-82/83. All of this has been accomplished without compromising the mathematical integrity that is the hallmark of this text. ...show less18 +$3.99 s/h
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$21.0523.3824.95 |
You Are Here
Area of Knowledge: Mathematics Component
Learning Objectives
The student should be able to demonstrate proficiency in mathematical thinking.
Mathematical thinking has many facets, including the construction of mathematical
arguments using formal deductive reasoning, the utilization of theoretical models,
and application of general mathematical principles in problem solving. The student
should demonstrate the ability to:
invoke formal mathematical reasoning;
understand mathematical proofs;
recognize fallacies in faulty mathematical arguments.
The student should be able to demonstrate proficiency in the reading and writing
of mathematics.
Students should be able to:
utilize and interpret mathematical notation;
read and write mathematical arguments;
write sound and coherent solutions to mathematical problems.
Criteria
To be classified as a mathematics area of knowledge course, a course must:
Include the development of mathematical thinking as the primary objective of
the course.
Mathematical thinking does not come easily to most. Its development demands time
and effort to an extent that nonmathematical course objectives should be secondary.
Regularly engage the student in the process of doing mathematics.
The broader collegiate goal of active learning presumes that one learns by doing.
this is certainly true in mathematics.
Regularly engage the student in the process of reading and writing mathematics. |
Synopses & Reviews
Publisher Comments:
Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.
Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry.
Synopsis:
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
Synopsis:Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
"Synopsis"
by Firebrand, |
Rotation Transforms for Computer Graphics
This book provides a comprehensive description of mathematical techniques for rotating points and frames in 2D and 3D computer graphics. Such transforms are notoriously difficult to visualize, which is why the book includes a large number of illustrations.
Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task. Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners. The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa.
Table of Contents
Table of Contents
Introduction.
Complex Numbers.
Vectors.
Matrices.
Quaternions.
Multivectors.
Rotation Transforms in the Plane.
Frames of Reference in the Plane.
Rotation Transforms in Space.
Frames of Reference in Space.
Quaternion Transforms in Space.
Bivector Rotors.
Conclusion.
Appendix A: Composite Point Rotation Sequences.
Appendix B: Composite Frame Rotation Sequences.
Appendix C: The Four n
Square Algebras |
Teach Yourself Trigonometry is suitable for beginners, but it also goes beyond the basics to offer comprehensive coverage of more advanced topics. Each chapter features numerous worked examples and many carefully graded exercises, and full demonstrations of trigonometric proofs are given in the answer key. |
Elementary Differential Geometry
9781852331528
ISBN:
1852331526
Pub Date: 2000 Publisher: Springer Verlag
Summary: Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them a...re accessible to higher level undergraduates.Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there.
Pressley, Andrew is the author of Elementary Differential Geometry, published 2000 under ISBN 9781852331528 and 1852331526. Two hundred fifty one Elementary Differential Geometry textbooks are available for sale on ValoreBooks.com, fourteen used from the cheapest price of $9.20, or buy new starting at $38.43 |
Today's Mathematics: Concepts, Methods, and Classroom Activities
9781118425251
Buy New Textbook
Not Yet Printed. Place an order and we will ship it as soon as it arrives.
$162.03 13th edition with a publication date of 4Now in its 13th Edition, Today's Mathematics: Concepts, Methods, and Classroom Activitiess helps readersthoroughly understand today's NCTM standards and how to present them in the most effective way possible. Readers will find improved and increased coverage of technology while benefiting from a new feature that addresses math anxiety. A new chapter on developments in Common Core State Standards, PARCC and SBAC assessments is included. Elementary math teachers will quickly discover how to put the principles of mathematics to work in the classroom. This text includes increased coverage of diversity while integrating the latest NCTM guidelines. Today's Mathematics: Concepts, Methods, and Classroom Activities 13th Edition provides teachers with a resource that provides a valuable set of ideas and reference materials for actual classroom use. |
MATH32031 - Coding Theory
Requisites
Aims
To introduce students to a subject of convincing practical relevance that relies heavily on results and techniques from Pure Mathematics.
Brief Description
Coding theory plays a crucial role in the transmission of information. Due to the effect of noise and interference, the received message may differ somewhat from the original message which is transmitted. The main goal of Coding Theory is the study of techniques which permit the detection of errors and which, if necessary, provide methods to reconstruct the original message. The subject involves some elegant algebra and has become an important tool in banking and commerce.
Learning Outcomes
On successful completion of this course unit students will
have a theoretical understanding of how methods of linear and polynomial algebra are applied in design of error correcting codes,
and be able to analyse and compare error detecting/correcting facilities of simple linear and cyclic codes for the symmetric binary channel; |
By June E. Oliver. An enjoyable way to introduce a variety of topics for algebra. Each placemat focuses on a specific algebra topic and contains a range of activities that may include matching activities, simple problem solving, true-fal..
Designed to supplement any Algebra II textbook and provide students with the opportunity to not only solve, but graph algebraic equations. The book begins with an algebra review and continues with linear equations, matrix operations, quadratics, trigono..
Designed to provide students with practice in the necessary skill areas involved in mastering algebra concepts such as polynomials, linear equations, inequalities, and radicals. A review of basic skills is presented in the first part of the book and mor..
Designed to provide students with practice in the necessary skill areas involved in mastering pre-algebra concepts, such as fractions, integers, equations, and graphs. A review of basic skills is presented in the first part of the book and more spec..
The Standard Deviants once again bring you complicated math concepts in an entertaining and comprehensible manner. This six-title set is great for complimenting or supplementing your regular math curriculum. Get your fill of degree and radiant measu..
By June E. Oliver. Blackline masters include a review of functions, continuity and limits, differentiation and its applications, and integration and its applications. The jokes reinforce the concepts. 67 pages, spiral bound. Contains ample d..
Students can make sense of linear equations by matching slope and y-intercept cards. They will quickly grasp the relationship between cards and how graphs, point pair, slope, and y-intercept fit with equations. When used together, decks provide ..
Grade 9 and up. This book makes math textbooks less baffling. What appears to be a typical math workbook is full of solved problems with annotated notes that clarify what's being asked in each problem and fill in missing steps. Students will ..
Prices listed are U.S. Domestic prices only and apply to orders shipped within the United States.
Orders from outside the
United States may be charged additional distributor, customs, and shipping charges. |
Intermediate Algebra - 4th edition
Summary: Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! The Miller/O'Neill/Hyde author team continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Intermediate Algebra 4e. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. Throughout the text, the authors communicate to students the very points thei...show morer instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. Also included are Problem Recognition Exercises, designed to help students recognize which solution strategies are most appropriate for a given exercise. These types of exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructorINSTRUCTOR EDITION.ALL ANSWERS INCLUDED.Identical to student edition.Black tape on cover. NO CD OR ACCESS CODE.SHIPS FAST!! SAME DAY OR W/N 24 HOURS.EXPEDITED SHIPPING AVAILABLE TOO!!
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Warren Wilson College Catalog 07-08
MAT 366 Number Theory
4cr
The study of numbers dates back to the ancient Greek mathematicians. In this course, we will investigate both the classical and modern theory of numbers. In particular, we will explore the intergers, and examine issues such as primes, divisibility, congruences, primitive roots, quadratic residules, and quadratic reciprocity, while considering questions about them that are simple to understand, but can be quite difficult to answer. Upon successful completion of this course the student will have gained proficiency in the variety of number theoretic techniques and computations as well as become skilled in some applications such as cryptography and coding theory.
Triad:
Mathematics. |
2, 2nd or 3rd Edition cover 129 lessons plus 2 review lessons. 12 DVDs in plastic clamshell case.
$23.50
eBayJohn Saxon's Story Book A Genius Of Common Sense In Math Education
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Powered by Frooition Pro Shop Search John Saxon's Story Book A Genius of Common Sense in Math Education Click here to view full size. Full Size Image Click to close full size. Item Description In John Saxon s Story, a genius of common sense in math education, readers learn about a West Point graduate and Korean War military hero who took on America s math establishment from 1981 until his death in 1996. An explanation of his historically- based but uniquely- designed traditional math program, whiGeometry with Advanced Algebra), 2nd Edition covers lessons 1-90 in the Advanced Mathematics book. 10 DVDs in plastic clamshell case.
Product Description Step th 1/3, 3rd Edition includes 123 lessons plus 10 supplemental topics. 8/7, 2nd or 3rd Edition. DVDs come in plastic clamshell case.
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eBayPhysics Home School Study Kit By John Saxon And John H. Saxon Jr. 1995 Hardcover
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Physics is equally appropriate for average and gifted students. The entire program is based on introducing a topic to a student and then allowing them to build upon that concept as they learn new ones. Topics are gradually increased in complexity and practiced every day, providing the time required for concepts to become totally familiar. Includes: Student Textbook (Hardcover) 100 Lessons Appendix with selected tables Periodic Table of the Elements Answers to odd-numbered problems Homeschool PaTrigonometry & PreCalculus), 2nd or 3rd Edition covers lessons 60-125 in the Advanced Mathematics book, and lessons 1-25 in the Calculus book...
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This pencil drawing of a standing figure of a shirtless young man with a bit of attitude is an original work on paper and measures approximately 11x17. It is unframed and will be shipped rolled in a tube.
Free Delivery Worldwide : Anglo Saxon Art : Paperback : BRITISH MUSEUM PRESS : 9780714128092 : 0714128090 : 23 Apr 2012 : The seven centuries of the Anglo-Saxon period in England, roughly AD 4001100, were a time of extraordinary and profound transformation in almost every aspect of its culture, culminating in a dramatic shift from a barbarian society to a recognizably medieval civilization. This book traces the different roles art has played in Anglo-Saxon culture.
Saxon Physics 2 part set Saxon Physics. 2 pieces. New.Book, and home school packet. New. Textbook does have a scratch on the front.If you send an email through ebays system you may get a rejection from our spam filters. There is an email listed below, feel free to use it. You can also call 315-287-2852. We will not accept bids from users with 0 feedback. _gsrx_vers_567 (GS 6.7.2 (567))
This solutions manual accompanies Saxon Math's Algebra 1/2 Textbook. Make grading easy with solutions to all textbook practices, problem sets, and additional topic practices. Early solutions that contain every step, and later solutions omit obvious steps; final answers are given in bold type for accurate, efficient grading. Paperback. Payment :Payment is expected within 5 days of auction's end. You can contact us by phone at 731-577-4440 to make a payment with credit card.Shipping :We ship Mon
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DESCRIPTION NEW IN SHRINK WRAP THIS IS A SET OF 2 BOOKS HOMESCHOOL PACKET 1.ALGEBRA 2 AN INCREMENTAL DEVELOPMENT 2rd EDITION( HARDCOVER) 2.PAPERBACK ANSWER KEY, 3. TEST BOOKLET FROM A SMOKE FREE HOME /NO PETS PLEASE ASK ALL QUESTIONS. To Be Sure This Is What You Would Like. Please Send All Messages Through Ebay Messages. SHIPPING Buyer pays All shipping cost. Shipping is based on the weight and the length, width, height of the box . We ship out daily Monday Through Friday. If payment is receive
A welcome addition to Saxon's curriculum line, Saxon Geometry is the perfect solution for students and parents who prefer a dedicated geometry course...yet want Saxon's proven methods! Presented in the familiar Saxon approach of incremental development and continual review, topics are continually kept fresh in students' minds. Covering triangle congruence, postulates and theorems, surface area and volume, two-column proofs, vector addition, and slopes and equations of lines, Saxon features all the topics covered in a standard high school geometry course. Two-tone illustrations help students really see the geometric concepts, while sidebars provide additional notes, hints, and topics to think about. Parents will be able to easily help their students with the solutions manual, which...
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Water coloring painting of Justin Bieber as Tinkerbell. I made this for the following youtube video: com/watch? v=EoisPwz38ic Dimensions: 14in. x 17in. water color paper All artwork will usually be sprayed with a coat of a matte finish permanent fixative before shipment to reduce it's aging process.
Free Delivery Worldwide : The Anglo Saxon World : Hardback : Yale University Press : 9780300125344 : 0300125348 : 30 Jul 2013 : The Anglo-Saxon period, stretching from the fifth to the late eleventh century, begins with the Roman retreat from Western world and ends with the Norman takeover of England. In this book, the author reexamines Anglo-Saxon England in the light of new research in disciplines as historical genetics, paleobotany, archaeology, and literary studies.
Powered by Frooition Pro Shop Search Saxon Mathematics Homeschool Manipulatives Kit Click here to view full size. Full Size Image Click to close full size. Item Description Saxon Mathematics Homeschool Manipulatives Kit The Saxon Math Manipulatives Kit is designed to complement all of the Saxon Math K-3 programs. This kit contains 450 objects and counting games for hands-on learning. Usage instructions are included in the Teachers's Manual and a convenient storage case is also included. The k
This solutions manual accompanies Saxon Math's Advanced Math Curriculum. Make grading easy with solutions to all textbook problem sets. Early solutions contain every step, and later solutions omit obvious steps; final answers are given in bold type for accurate, efficient grading. Paperback. investigations. The Tests and Worksheets book provides a facts practice test...
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Saxon Math 2 Home Study Kit We're a Saxon dealer and have the full line of Saxon curriculum available as well as many others. This kit is brand new in the box. Product Description: Saxon math programs produce confident students who are not only able to correctly compute, but also to apply concepts to new situations. These materials gently develop concepts, and the practice of those concepts is extended over a considerable period of time. This is called incremental development and continual revi
Powered by Frooition Pro Shop Search Saxon Home Study Kit Calculus Second Edition Click here to view full size. Full Size Image Click to close full size. Item Description Saxon Home Study Kit Calculus Second Edition Compare at $80.60 Understanding the abstractions of calculus requires far more than limited exposure. Through the 148 sequential lessons in this comprehensive text, future mathematicians, scientists, and engineers will incrementally build and reinforce their knowledge through contin
Saxon Math 6/5 5th Grade Home Study Kit We are a Saxon dealer and have the full line of Saxon curriculum available as well as many others. This kit is brand new hot off of the press,never opened. It is the current 3rd edition. Product Description: Saxon math programs produce confident students who are not only able to correctly compute, but also to apply concepts to new situations. These materials gently develop concepts, and the practice of those concepts is extended over a considerable period
Saxon Math 7/6 6th Grade Home Study Kit We are a Saxon dealer and have the full line of Saxon curriculum available as well as many others. This is the complete grade 6 kit. It is brand new never opened. It is the current 4th edition. This Homeschool Kit includes the student textbook, a tests and worksheets book, and a solutions manual which is everything you need to teach 1 student for a whole year. Product Description: Saxon Math 7/6 is made up of five instructional components: Warm up Activiti
Saxon Math 8/7 7th Grade Home Study Kit I'm a Saxon dealer and have the full line of Saxon curriculum available as well as many others. This kit is brand new never opened. It is the current 3rd edition. This Homeschool Kit includes the student textbook, a tests and worksheets book, and a solutions manual which is everything you need to teach 1 student for a whole year. Product Description: Saxon Math 8/7 is made up of five instructional components: Warm up Activities including Facts Practice, Me |
Course Description
MA 1300
Calculus & Numerical Methods I
We will begin with an intensive review of critical topics in Pre-calculus, with the primary focus being on identifying different mathematical models and scenarios in which they are useful. Examples of such models are linear, quadratic, exponential, logarithmic, logistic and trigonometric. Once the groundwork is set, students will be introduced to the derivative and how it can be used to measure the rate of a dynamic process. Further applications of the derivative including optimization, linear approximations and related rates will be examined in some detail. Beginning topics of Numerical Analysis will be covered in the form of root finding algorithms for non-linear equations. |
Woodbridge, CA PrecalculusExcel is a very useful program for a variety of reasons. A few examples are making graphs, performing multiple math computations at once, and manipulating data. Don't go to college without a basic understanding of this programI |
MATHEMATICS
MATH-503
Foundations of Mathematics (3)
Course Level: Undergraduate/Graduate
An introduction to the proof-based methodology of advanced mathematics courses, with emphasis on the fundamentals of logic and set theory (truth-tables and quantifiers, Boolean operations, functions, relations, and cardinality); elementary number theory (mathematical induction and modular arithmetic), and structural properties of the fields of real and complex numbers. Usually offered every term. Prerequisite: MATH-222. |
mathematical methods that physical scientists need for solving substantial problems in their fields of study are set out clearly and simply in this tutorial-style textbook. Students will develop problem-solving skills through hundreds of worked examples, self-test questions and homework problems. Each chapter concludes with a summary of the main procedures and results and all assumed prior knowledge is summarized in one of the appendices. Over 300 worked examples show how to use the techniques and around 100 self-test questions in the footnotes act as checkpoints to build student confidence. Nearly 400 end-of-chapter problems combine ideas from the chapter to reinforce the concepts. Hints and outline answers to the odd-numbered problems are given at the end of each chapter, with fully-worked solutions to these problems given in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at less |
Group theory has long been an important computational tool for physicists, but, with the advent of the Standard Model, it has become a powerful conceptual tool as well. This book introduces physicists to many of the fascinating mathematical aspects of group theory, and mathematicians to its physics applications. Designed for advanced undergraduate and graduate students, this book gives a comprehensive overview of the main aspects of both finite and continuous group theory, with an emphasis on applications to fundamental physics. Finite groups are extensively discussed, highlighting their irreducible representations and invariants. Lie algebras, and to a lesser extent Kac-Moody algebras, are treated in detail, including Dynkin diagrams. Special emphasis is given to their representations and embeddings. The group theory underlying the Standard Model is discussed, along with its importance in model building. Applications of group theory to the classification of elementary particles are treated in detail. less |
The text covers the material of a first undergraduate Linear Algebra course. You can use it either as a main text, as a supplement to another text, or for independent study. Prerequisites: A semester of calculus; students with three semesters of calculus can skip a few sections. Each chapter has three or four discussions of additional topics and applications. These are suitable for independent study or for small group work. The approach is developmental. Although the presentation is focused on covering the requisite material by proving things, it does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class. Note: both the textbook and answers to exercises are included. Author suggests you save the two files in the same directory, so that clicking on an exercise will send you to its answer and clicking on an answer will send you to its exercise. Go to: to get the source. You need to know LaTeX and MetaPost to work with it; there is a readme file to get started and some optional material. For instructors considering adoption: the author suggests looking at the second chapter. The first chapter is necessarily computational but the second chapter shows more clearly what the book works on: bridging between lower-division mathematics with its reliance on explicitly-given algorithms, and upper division college mathematics with its emphasis on concepts and proof.
This text is Free. Use it under either the GNU Free Documentation License or the Creative Commons LicenseCreative Commons Attribution-ShareAlike 2.5 License [ ], at your discretion.
To bookstores: in particular, instructors have permission to make copies of this material, … |
Introduction to Probability - 2nd edition
Summary: This text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in mathematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques necessary for a firm understanding of the subject.
The text is also recommended for use in discrete probability courses. The material is organized so that the discrete and continuous probability discus...show moresions are presented in a separate, but parallel, manner. This organization does not emphasize an overly rigorous or formal view of probabililty and therefore offers some strong pedagogical value. Hence, the discrete discussions can sometimes serve to motivate the more abstract continuous probability discussions.
Key ideas are developed in a somewhat leisurely style, providing a variety of interesting applications to probability and showing some nonintuitive ideas.
Over 600 exercises provide the opportunity for practicing skills and developing a sound understanding of ideas.
Numerous historical comments deal with the development of discrete probability.
The text includes many computer programs that illustrate the algorithms or the methods of computation for important problems.
"The book is a beautiful introduction to probability theory at the beginning level. The book contains a lot of examples and an easy development of theory without any sacrifice of rigor, keeping the abstraction to a minimal level. it is indeed a valuable addition to the study of probability theory."129.90 +$3.99 s/h
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bargainforce Naperville, IL
0821807498 New. Looks like an interesting title |
Elementary and Intermediate Algebra - 6th edition
Summary: Larson IS student success. ELEMENTARY AND INTERMEDIATE ALGEBRA: ALGEBRA WITHIN REACH owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make co...show morennections between mathematical concepts and understand the content. With a bright, appealing design, the new Sixth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples90.88 +$3.99 s/h
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128507467X INSTRUCTORS EDITION. Exact same content as the student version only may include all answers and/or teaching notes in margins. DOES NOT include supplements such as CDs or access codes. Order...show mores ship within 1-2 business days w/ free tracking. ...show less
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128507467X used book - book appears to be recovered - has some used book stickers - free tracking number with every order. book may have some writing or highlighting, or used book stickers on front o...show morer back ...show less
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Textbook Charlie Nashville, TN
Very lightly used instructor's edition. Inside may contain answers/notes |
provides a lively introduction to pure mathematics. It begins with sets, functions and relations, proof by induction and contradiction, complex numbers, vectors and matrices, and provides a brief introduction to group theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with continuity and functions. The book features numerous exercises of varying difficulty throughout the text.
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":38.76,"ASIN":"3540761780","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":35.5,"ASIN":"3540761233","isPreorder":0}],"shippingId":"3540761780::uOfcGFTVLK1MbSWBviG1bw4XiV8ThfJMqN3NKtE9KJuNBwmHEGw4FXPRqO3qabIX30c8nbPcxbCIepgJx1i4kLrNqYYRWlvBrAvRvqsEQ2M%3D,3540761233::E2tuKOaHKqrIuzccSy1dyGj2Hl7%2BlKUxtTbOH9fhOQreZw5wWDIc0dUWQFtX6st%2F78NC4e9K8H7RG1VvZ1o%2BJTvqrqBu07kO5eh6sV3qHLHere is an author who brings a fresh vitality to basic undergraduate mathematics with his witty, discursive treatment of topics ranging from the nature of a proof to a kit for the construction of the real numbers. Smith adopts a tone of camaraderie which lures the reader along a trail of mathematical discovery, all the while remaining true to the standards of exactitude which must characterise mathematics at this level. Never condescending, he blithely raises issues which other authors would sweep under the carpet in a beginners' textbook, treating them with his inimitable forthright professionalism. The author's exuberant interest and keen mind pervade the book, making it a perfect delight to read. I would recommend that all young undergraduates/school-leavers are given this book before more traditional dusty texts blind them to the sheer pleasure of mathematics.
As a returning novice to university mathematics, (it is some 15 years since the last time I last took an introductory maths course) I found this book to be both refreshing and highly original. The material and layout is different to most textbooks. It is probably a book for people who want to grasp the idea of mathematics rather than just pass an exam. However, as the author notes in the preface, it is (other things being equal) both a 'gentle and relaxed introduction'. The mathematics is pure and the emphasis is on the idea rather than on how to solve particular problems in the life sciences or engineering. Topics covered include; Sets, functions and relations; Proofs; Complex numbers; Vectors and matrices; Group theory; Sequences and series; Real numbers; and Mathematical analysis. It is an excellent book for those interested in learning and understanding mathematics. The colloquial tone helps alot and it is a style that deserves to become more common in the future. The book also offers an interesting glimpse of the mathematical mind. The author has a remarkable sense of humour and the book is hilarious at times. |
Demystified
Unlike most books on algebra, this guide lets readers master algebra one simple step at a time--at their own speed. "Algebra Demystified" is loaded ...Show synopsisUnlike most books on algebra, this guide lets readers master algebra one simple step at a time--at their own speed. "Algebra Demystified" is loaded with diagrams to reinforce mathematical concepts, along with exercise sets, chapter ending quizzes, and final exams to master the material Algebra Demystified
I have found one statement that I think must be erroneous (and that has caused me hours of wasted time), and I see that another reviewer has found what he/she considers to be typographical errors. This is terribly serious for someone trying hard to brush up on algebra. The publisher should provide ...
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Some but not many penciled in answers, but I have an eraser(haha). The book was in tact and just what I needed to advance myself and with any textbook, to move to the next level.
Very Satisfied!! I give it a Five star rating!:) |
My college linear algebra course was held early in the morning, and
it was devoted almost entirely to blackboard proofs. The professor would
stand in front of the room, half asleep, and write:
"Theorem. Lemma. Lemma. Proof. Theorem…"
Despite this experience, I somehow managed to learn about eigenvectors
and kernels. Or at least, I learned how to write proofs about them. But I
had no intuition for linear algebra: I couldn't visualize it, and I couldn't
explain why anybody, anywhere, ever cared about eigenvectors.
Years later, in a computer vision class, I finally learned to care about
linear algebra. It could solve all sorts of cool problems!
(Eigenfaces, in particular, blew me away.) And since then, I've
encountered linear algebra everywhere. But my intuition is still
piecemeal, built from half-a-dozen applications over the years.
My motto for math is, "If it keeps showing up, build a rock-solid intuition
for how it works." And towards that end, I've been looking for a good
linear algebra textbook.
My ideal linear algebra textbook would:
Include plenty of motivating examples.
Show how to solve real-world problems.
Devote plenty of time to proofs.
The proofs, after all, are necessary in the real world. If you ever
attempt to do something slightly odd, you'll want to
prove that it actually works.
Jim Hefferon's Linear Algebra
Professor Jim Hefferon's Linear Algebra is available as a free PDF
download. But don't be fooled by the price: Hefferon's book is
better than most of the expensive tomes sold in college bookstores.
Everything in Hefferon's book is superbly motivated. The first chapter
begins with two real-world examples: Unknown weights placed on balances,
and the ratios of complex molecules in chemical reactions. These examples
are used to introduce Gauss's method for solving systems of linear
equations. Further into the book, the examples begin to tie back to
earlier chapters. Determinants, for example, are motivated by the
usefulness of recognizing isomorphisms and invertible matrices.
But Hefferon's emphasis on real-world examples is admirably balanced by an
abundance of proofs. The first proof appears on page 4, and nearly
everything is proven either in the main text or in the exercises. This
will be helpful for readers who (like me) are trying to bring more rigor to
their mathematical thinking.
The "Topics": Fascinating real-world problems
The most delightful part of the book, however, are the "Topics" at the end
of each chapter. These cover a wide range of fields, including biology,
economics, probability and abstract algebra. The topic "Stable
Populations" begins:
Imagine a reserve park with animals from a species that we are
trying to protect. The park doesn't have a fence and so animals cross the
boundary, both from the inside out and in the other direction. Every year,
10% of the animals from inside of the park leave, and 1% of the animals
from the outside find their way in. We can ask if we can find a stable
level of population for this park: is there a population that, once
established, will stay constant over time, with the number of animals
leaving equal to the number of animals entering?
Hefferon relates the solution to Markov chains and eigenvalues, cementing
several important intuitions firmly in place.
Other topics include basic electronics, space shuttle O-rings, and the
number of games required to win the World Series. There are plenty of
CS-related discussions, too: a survey of things that can go wrong in naive
numeric code, the time required to calculate determinants, and
how the memory hierarchy affects array layout.
Hefferon's love for linear algebra is infectious, and his "Topics" will
appeal to anybody who does recreational math.
"Free" as in "freedom"
What
this means: You may make copies of the book, or even print them out at a
copyshop and charge students a fee. You may also create a custom version of
the textbook, and share it with anybody who's interested. The only
restriction: You must "share alike," honoring the original author's terms
as you pass along the textbook.
Miscellaneous notes
Hefferon has put out a call for extra material. In particular, he'd love
to have a section on quantum mechanics:
Several people have asked me about a Topic on eigenvectors and
eigenvalues in Quantum Mechanics. Sadly, I don't know any QM. If you can
help, that'd be great.
On the downside, the internal PDF links in Linear Algebra are broken
in MacOS X Preview. This is odd, because the LaTeX hyperref
package usually works fine with Preview.
The reddit discussion of
Linear Algebra has pointers to several other linear algebra textbooks, with varying emphasis. And many other free math
textbooks are available online.
If you have any favorite math books (paper or PDF, for any area of
mathematics), please feel free to recommend them in the comment thread!
But there's a bunch of things I don't understand about monads. In each case, my confusion involves some aspect of the underlying math that "bubbles up" to affect the design of specialized languages.
(Warning: Obscure monad geeking ahead.)
Commutative monads
A "commutative monad" is any monad where we can replace the expression:
doa<-mab<-mbfab
…with:
dob<-mba<-mafab
…without changing the meaning. Examples of commutative monads include Reader and Rand. This is an important property, because it might allow us to parallelize the commonly-used sequence function across huge numbers of processors:
It remains to be seen whether monads would provide the appropriate
conceptual encapsulation for a semantic theory with broader coverage. In
particular, for both natural and programming language semantics, combining monads—or perhaps monad-like objects—remains an open issue that
promises additional insight.
Monad morphisms and abstract algebra
Dan Piponi has been drawing some fascinating connections between monad morphisms and abstract algebra. See, for example:
In each case, we want to classify something: Orders are either valid or
fraudulent, messages are either spam or non-spam, blog posts are either
interesting or boring. Unfortunately, most software is terrible at
making these distinctions. For example, why can't my RSS reader go out and
track down the 10 most interesting blog posts every day?
Some software, however, can make these distinctions.
Google figures out when I want to watch a movie, and shows me specialized
search results. And most e-mail clients can identify spam with over
99% accuracy. But the vast majority of software is dumb, incapable of
dealing with the messy dilemmas posed by the real world.
So where can we learn to improve our software?
Outside of Google's shroud
of secrecy, the most successful classifiers are spam filters. And most modern
spam filters are inspired by Paul Graham's essay A Plan for Spam.
So let's go back to the source, and see what we can learn. As it turns out, we can formulate a lot of the ideas in A Plan
for Spam in a straightforward fashion using a Bayesian
monad.
Functions from distributions to distributions
Let's begin with spam filtering. By convention, we divide messages into
"spam" and "ham", where "ham" is the stuff we want to read.
dataMsgType=Spam|Hamderiving(Show,Eq,Enum,Bounded)
Let's assume that we've just received a new e-mail. Without even looking
at it, we know there's a certain chance that it's a spam. This gives us
something called a "prior distribution" over MsgType.
>bayesmsgTypePrior[PerhapsSpam64.2%,PerhapsHam35.8%]
But what if we know that the first word of the message is "free"? We can
use that information to calculate a new distribution.
>bayes(hasWord"free"msgTypePrior)[PerhapsSpam90.5%,PerhapsHam9.5%]
The function hasWord takes a string and a probability
distribution, and uses them to calculate a new probability distribution:
This code is based on the Bayesian monad from part 3. As before,
the "<-" operator selects a single item from a probability
distribution, and "condition" asserts that an expression is true. The
actual Bayesian inference happens behind the scenes (handy, that).
If we have multiple pieces of evidence, we can apply them one at a time.
Each piece of evidence will update the probability distribution produced by
the previous step:
This technique is known as the naive Bayes classifier. Looked at from the right angle, it's surprisingly simple.
(Of course, the naive Bayes classifier assumes that all of our evidence is independent. In theory, this is a pretty big assumption. In practice, it works better than you might think.)
But this still leaves us with a lot of questions: How do we keep track of
our different classifiers? How do we decide which ones to apply? And do
we need to fudge the numbers to get reasonable results?
In the following sections, I'll walk through various aspects of Paul
Graham's A Plan for Spam, and show how to generalize it. If you
want to follow along, you can download the code using Darcs:
A very senior Microsoft developer who moved to Google told
me that Google works and thinks at a higher level of abstraction than
Microsoft. "Google uses Bayesian filtering the way Microsoft uses the if
statement," he said. -Joel Spolsky
I really love this quote, because it's insanely provocative
to any language designer. What would a programming language look
like if Bayes' rule were as simple as an if statement?
Let's start with a toy problem, and refactor it until Bayes' rule is baked
right into our programming language.
Imagine, for a moment, that we're in charge of administering drug tests for
a small business. We'll represent each employee's test results (and drug use) as follows:
Assuming that 0.1% of our employees have used heroin recently, and that our test is 99%
accurate, we can model the testing process as follows:
drugTest1::Distd=>d(HeroinStatus,Test)drugTest1=doheroinStatus<-percentUser0.1testResult<-ifheroinStatus==UserthenpercentPos99elsepercentPos1return(heroinStatus,testResult)-- Some handy distributions.percentUserp=percentpUserCleanpercentPosp=percentpPosNeg-- A weighted distribution with two elements.percentpx1x2=weighted[(x1,p),(x2,100-p)]
This code is based our FDist monad, which is in turn based on
PFP. Don't worry if it seems slightly mysterious; you can think of the
"<-" operator as choosing an element from a probability
distribution.
Running our drug test shows every possible combination of the two
variables:
In Part 1, we cloned PFP, a library for computing with probability distributions. PFP represents a distribution as a list of possible values, each with an associated probability.
But in the real world, things aren't always so easy. What if we wanted to pick a random number between 0 and 1? Our previous implementation would break, because there's an infinite number of values between 0 and 1—they don't exactly fit in a list.
As it turns out, Sungwoo Park and colleagues found an elegant solution to this problem. They represented probability distributions as sampling functions, resulting in something called the λ◯ calculus. (I have no idea how to pronounce this!)
With a little bit of hacking, we can use their sampling functions as a drop-in replacement for PFP.
A common interface
Since we will soon have two ways to represent probability distributions, we need to define a common interface. |
Description of Life of Fred City Answers: Linear Algebra - Grade 11-College by Z Twist Books
Featuring humor, easy-to-understand explanations, and silly illustrations, Life of Fred is guaranteed to make your math studies come alive! Each text is written as a novel, including a hilarious story line based on the life of Fred Gauss. As Fred encounters the need for math during his daily exploits, he learns the methods necessary to solve his predicaments – plus loads of other interesting facts! Filled with plenty of solved examples, each book is self-teaching and reusable – perfect for families full of learners.
Introduce your students to Fred today and see how his fun, lighthearted approach to learning is revolutionizing mathematics!
City Answers: Linear Algebra is the answer key for Life of Fred: Linear Algebra Student Book.
Product:
Life of Fred City Answers: Linear Algebra - Grade 11-College
Vendor:
Z Twist Books
Minimum Grade:
11th Grade
Maximum Grade:
College Senior
Weight:
0.29 pounds
Length:
11 inches
Width:
8.5 inches
Height:
0.2 inches
Subject:
Math
Curriculum Name:
Life of Fred
Learning Style:
Visual
Teaching Method:
Charlotte Mason, Unit Study, Unschooling
There are currently no reviews for Life of Fred City Answers: Linear Algebra - Grade 11-College.
Items Related to Life of Fred City Answers: Linear Algebra - Grade 11-College |
2014 AP Summer Institute Catalog
Workshop Description
This course is designed to delve into the content and activities appropriate for a Pre-AP Mathematics program. Participants will experience classroom activities designed to help prepare students for Advanced Placement Calculus. Both AP Calculus and AP Statistics require a strong foundation and this course will focus on the skills needed to enter those courses. Number and Quantity, Functions, and Mathematical Modeling will be the focus of the course. Multiple representations of mathematics from Linear Functions up to, and including, Trigonometric Functions will be addressed throughout the course. Participants will explore classroom tested activities and will have the opportunity to share some from their rooms.
What to Bring:
Participants may want to bring their laptops, personal graphing calculator, and a flash drive.
Learning Outcomes
Understand the role functions play in higher mathematics
Understand how to model real world applications with functions
Understand how to use multiple representations to illustrate mathematics to different students
Understand which topics are important to emphasize in a Pre-AP Mathematics curriculum to prepare students for AP Calculus and AP Statistics
Consultant Bio
Corey Boby is currently teaching Trigonometry, AP Calculus, and AP Statistics at Lakeside High School and has been in education since 1994. During his career he has worked for the Arkansas School for Mathematics and Science, Benton Public Schools, and Texas Instruments. Corey believes in the appropriate integration of technology. He uses a SMARTBoard, iPads, TI-Nspire CX, and TI-Navigator in his classroom, but believes technology should be used as a tool to support the mathematics not to do it for students. He is married to Tracy Watson, who also teaches math. They live out in the country and have 6 dogs and 3 cats. |
have completed university level differential equations, math methods for physicists, and have continued to study them through my physics education. Rates of change, the study of differential equations, play a major role in physics and describing physical processes. Currently I continue to study different methods of solving DEs through my Math Methods for Physicists graduate class. |
Mathematics
The aim of the Mathematics Department at Oakhill College is to promote each student's understanding and appreciation of the subject.
In Stage 4, students study a wide range of topic areas including Measurement, Algebra, Number, Data, Space and Geometry.
In Years 9 and 10, students undertake 5.3, 5.2, or 5.1. These strands cater for students of different mathematical abilities and help prepare them for the appropriate Stage 6 courses.
Students in Years 11 and 12 can elect to study General Mathematics, Mathematics, Mathematics Extension 1 and Mathematics Extension 2.
Technology and computers continue to be an integral part of the Mathematics Curriculum. Students have regular access to computer labs, using different software programs that enhance their understanding and learning. Graphics calculators are also frequently used in class at all stages. General Mathematics students are required to purchase a graphics calculator.
The Special Education Policy of the Department aims to provide a broad education which will challenge the creativity, initiative and ability of our Gifted and Telented students, as well as providing an integrated programme for students with specific learning disabilities and difficulties. |
Welcome to AlgebraHelp.com, the fastest growing online source for help with algebra. We use some of the latest technology to help you learn and understand algebra. Our website features lessons to learn or refresh old skills, calculators that show you how to solve problems step-by-step, and interactive worksheets to test your skills.
GEOMETRY
MATH
S.O.S. MATHematics is your free resource for math review material from Algebra to Differential Equations!
The perfect study site for high school, college students and adult learners.
Get help to do your homework, refresh your memory, prepare for a test, ....
Browse our more than 2,500 Math pages filled with short and easy-to-understand explanations - from simplifying fractions to the cubic formula, from the quadratic equation to Fourier series, from the sine function to systems of differential equations - this is the one stop site for your math needs |
course introduces students to the basic concepts, logic, and issues involved in statistical reasoning. Major topics include exploratory data analysis, an introduction to research methods, probability, and statistical inference. The objectives of this course are to give students confidence in manipulating and drawing conclusions from data and provide them with a critical framework for evaluating study designs and results.An important feature of the course is the use of an intelligent tutoring system developed at Carnegie Mellon called "StatTutor." StatTutor aims to facilitate understanding of statistical ideas and analytical techniques by helping students construct useful knowledge representations and thereby develop effective problem-solving skills. It uses a specified outline of steps to follow in solving problems, or "scaffolding״. StatTutor will use scaffolding and immediate feedback flexibly, tracking and responding to individual students as they navigate the learning environment.״
According to the website, "We believe that everyone, everywhere should have access to a college education. This website will...
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'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases...
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'From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who don't like calculus books to go on and on.״There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering except for numerical integration. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule.There are sufficiently many exercises at the end of each sections, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum's outline for additional problems.'
This is a free, online textbook offered by Bookboon.com. "This is free textbook is for people who want to know how to use...
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This is a free, online textbook offered by Bookboon.com. "This is free textbook is for people who want to know how to use SPSS for analysing data, who want practical help in as short a time as possible. The author has considerable experience of teaching many such people and assumes they know the basics of statistics but nothing about SPSS, or as it is now known, PASW.The Statistical Reasoning course is the same as the Probability and Statistics course except that it includes a new streamlined probability option that forgoes the classical treatment of probability in favor of an empirical approach using relative frequency. There is an early focus on probability distributions as a way to describe patterns arising in a long series of repetitions of random phenomenon. This approach includes only those concepts that are necessary to support a conceptual understanding of the role of probability in inference. Examples use contexts from real world problems and simulations set in real world contexts״The Promise and Peril of Big Data explores the implications of inferential technologies used to analyze massive amounts of...
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״The Promise and Peril of Big Data explores the implications of inferential technologies used to analyze massive amounts of data and the ways in which these techniques can positively affect business, medicine, and government.״ |
More About
This Textbook
Overview.
Related Subjects
Meet the Author
An award-winning instructor and best-selling author, Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.
Prior to writing textbooks, Elayn developed an acclaimed series of lecture videos to support developmental mathematics students in their quest for success. These highly successful videos originally served as the foundation material for her texts. Today, the videos are specific to each book in the Martin-Gay series. Elayn also pioneered the Chapter Test Prep Video to help students as they prepare for a test–their most "teachable moment!"
Elayn's experience has made her aware of how busy instructors are and what a difference quality support makes. For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topics and concepts in basic mathematics, prealgebra, beginning algebra, and intermediate algebra. Seasoned instructors can use them as a source for alternate approaches in the classroom. New or adjunct faculty may find the videos useful for review.
Her textbooks and acclaimed video program support Elayn's passion of helping every student to succeed.
Read an Excerpt
PREFACE:Third Edition ...
Preface of Interpret Technology activitiesCompanion Website
Visit http:ll
The companion Website includes basic distance learning access to provide links to the text's Real World Activities, career-related sites referenced in the chapter opening pages and a selection of online self quizzes. E-mail is available. For quick reference, the inside front cover of this text also lists the companion Website URL.
WebCT
WebCT includes distance learning access to content found in the Martin-Gay Companion Website plus more: WebCT provides tools to create, manage, and use on-line course materials. Save time and take advantage of items such as on-line help, communication tools, and access to instructor and student manuals. Your college may already have WebCT's software installed on their server or you may choose to download it. Contact your local Prentice Hall sales representative for details.
Blackboard
Visit
For distance learning access to content and features from the Martin-Gay Companion Website plus more, Blackboard provides simple templates and tools to create, manage, and use on-line course materials. Save time and take advantage of items such as on-line help, course management tools, communication tools, and access to instructor and student manuals. No technical experience required. Contact your local Prentice Hall sales representative for details.
Prentice Hall Interactive Math is an exciting, proven choice to help students succeed in math. Created for a computer-based course, it provides the effective teaching philosophy of K. Elayn Martin-Gay in an Internet-based course format. Interactive Math, Introductory and Intermediate Algebra, takes advantage of state-of-the-art technology to provide highly flexible and user-friendly course management tools and an engaging, highly interactive student learning program that easily accommodates the variety of learning styles and broad spectrum of students presented by the typical beginning and intermediate algebra class. Personalized learning includes reading, writing, watching video clips, and exploring concepts through interactive questions and activities. Contact your local Prentice Hall sales representative for detailsIntroduction Addenda of Interpret Technology activities |
fifth edition of Essential MATLAB for Engineers and Scientists provides a concise, balanced overview of MATLAB's functionality that facilitates independent learning, with coverage of both the fundamentals and applications. The essentials of MATLAB are illustrated throughout, featuring complete coverage of the software's windows and menus. Program design and algorithm development are presented clearly and intuitively, along with many examples from a wide range of familiar scientific and engineering areas. This is an ideal book for a first course on MATLAB or for an engineering problem-solving course using MATLAB, as well as a self-learning tutorial for professionals and students expected to learn and apply MATLAB.. Updated with the features of Matlab R2012b . More complete coverage of Matlab windows and menus . Expanded discussion of writing functions and scripts . Revised and expanded Part II: Applications . Expanded section on GUIs . More exercises and examples throughout . Extensive teacher support on solutions manual, extra problems, multiple choice questions, PowerPoint slides . Companion website for students providing M-files used within the book and selected solutions to end of chapter problems . Flexible access options: print, e-text, and e-text subscription |
About This Book:
The History of Mathematics: An Introduction, Seventh Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton's imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics' greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Seventh Edition a valuable resource that teachers and students will want as part of a permanent library |
Educational Use
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Algebra A (A) is the first semester of Algebra A.ĘAlgebra A and Algebra B make up a two-year Algebra program. The main goal of Algebra is to develop fluency in working with linear equations. This 2 year program gives students the opportunity to study, learn, and practice algebraic concepts at a pace that allows additional learning activities, projects, and discussions. In this course, students will work with tables, graphs, and equations and solve linear equations and inequalities and systems of linear equations and inequalities. Throughout the course, students will have opportunities to apply mathematical skills and make meaningful connections to lifeŐs experiences.
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Using and Understanding Mathematics: A Quantitative Reasoning Approach, Fifth Editionincreases readersrs" mathematical literacy so that they better understand the mathematics used in their daily lives, and can use math effectively to make better decisions every day. Contents are organized with that in mind, with engaging coverage in sections like Taking Control of Your Finances, Dividing the Political Pie, and a full chapter about Mathematics and the Arts. MyMathLabprovides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online. |
Exploring the use of Monte Carlo simulation in finance, this text reviews the essential mathematics and presents simple financial models. Beginning with the basics of Monte Carlo, the author gradually introduces advanced variance reduction techniques, covering such topics as importance sampling and stratified sampling. He also discusses numerical approximation, option pricing, and sensitivity analysis. The text presents diffusion techniques for diffusion models, American options, and sensitivity analysis. It also contains various types of exercises, progressive MATLAB -based coding assignments, and computational projects. |
MATH-3500
Introduction to most of the topics of elementary number theory such as modular arithmetic, prime factorizations, linear diophantine equations, the Chinese remainder theorem, quadratic reciprocity, Pythagorean triples, number theoretic functions, and related topics. Concrete examples will illustrate the concepts and abstract reasoning will develop the theories considered in the courses. Prerequisite: MATH-2210 Logic and Methods of Proof. |
Mathematics 10 Foundations & PreCalculus
Info
Course Description
Prerequisite: Math 9.
(Provincial Examination)
The goal of this course is to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies. Topics include algebra and number, functions and relations, and measurement. The seven mathematical processes (communication, connections, mental mathematics and estimation, problem solving, reasoning, technology, and visualization) are interwoven throughout the mathematical topics. After successful completion of the Foundations of Mathematics and Pre-Calculus 10 course students can choose to take Foundations of Mathematics 11 (if the student is planning to take a post-secondary program that does not require the study of theoretical Calculus) or Pre-calculus 11 (if the student is planning to take a post-secondary program that requires the study of theoretical Calculus). |
Full-color reduced student pages are contained on each page of the teacher's edition. Margins contain full solutions to both proofs and computational problems. Answers to cumulative review exercises contain the section number from which the question was taken. The margin contains section objectives and vocabulary. Recommended assignments are given in three tracks: remedial, average, and honors classes. Resources are listed for each section including appendixes, quizzes from the test packet, activities in the Activity Manual and other resources. The bottom margin contains suggestions for presenting the lesson, including motivational ideas and common student errors. Additional problems provide more examples, in-class drill or quiz questions. Reading and Writing Math develop these skills. Flashes tied to photos give information or answer questions tied to the photo captions. Tips alert teachers to difficult problems or alternate proofs. Intuitive, standard and rigorous schedules are provided. A comparison to NCTM standards tied to sections of the text is included.
Product:
Geometry 10 Teacher's Edition W/CD (3rd Edition)
Vendor:
BJU Press
Edition Number:
3
Binding Type:
Book with CD
Minimum Grade:
10th Grade
Maximum Grade:
10th Grade
Number of Pages:
720
Weight:
4.48 pounds
Length:
11 inches
Width:
10.75 inches
Height:
1.653 inches
Vendor Part Number:
238907 Geometry 10 Teacher's Edition W/CD (3rd Edition). |
This presentation will demonstrate the NEW Y2K+1 opportunities
and more - MathTalk™ /Scientific Notebook™ 3.5 ,
MathPad™ By Voice™ and MathBrailleTalk™ .
MathTalk™For The Visually Impaired™ -
(MT/VI)
In 1999, Dr. Henry L. Gray, Charles F. Frensley Professor of
Mathematics and Statistics, Southern Methodist University and MVC
, began research on a voiced program using Scientific Notebook
™ that would allow visually impaired students to
independently study mathematics.
3. be able to hear a "read back" of all
mathematics on the screen (this is programmed – not a
screen reader)
4. have a correction technique available for a
misrecognition
Dr. Gray was successful in developing an "echo"
and a "read back" for all 6,000 + math commands. MT/VI is the
only program in the world that will "read back" mathematics,
including fractions, complex fractions, calculus, radicals and
more.
The MT/VI demonstration will show:
1. the use of DragonDictate™ ( Yes, it
will be available for a long time) to voice commands
2. the use of Jaws™ to read text and to
read within DragonDictate dialog boxes
3. the use of MAVIS' Nemeth Braille
Converterã to covert the voiced mathematics into
Braille
4. the optional use of the Duxbury Braille
Translator™ to convert voiced mathematics into Braille
5. with Jaws™ on, reading the translated
Braille on a refreshable Braille display
MT/VI is the only mathematics program
permitting a visually impaired person to independently study
math!
MathTalk™ For Physical
Disabilities™ - MT/LD
This program is our MathTalk™ /Scientific
Notebook™ 3.5 with the "echo" and "read back" features of
MT/VI.
The student voices the mathematics; there is an
"echo" of the math as it is placed on the screen; and the math
appears on the screen as a selected item.>
If the student wants to hear all of the screen
entries, just say "read line", and the voiced math is read
back.
MathTalk™ Into Braille –
(MT/B)
MathTalk™ Scientific Notebook™ 3.5
combined with the new Duxbury Braille Translator™ (DBT).
Voiced mathematics and text in Scientific Notebook™ can be
saved and opened in the DBT for translation into Braille and
embossed. This will save thousands of keystrokes and mouse
movements for student and teachers. Also will work with the
MT/NSP version. |
GeoGebra math software – a review
[20 Aug 2007]
[Update, Nov 2012: GeoGebra is still under active development and is now in version 4.0. The following tutorial is still relevant and it will get you started. The key features have not changed much, but there are now several more options and many examples on GeoGebraTube. See latest release details.]
GeoGeobra is an intelligent graphing software that allows the user to interactively explore Cartesian & Euclidean geometry – as well as calculus. Best of all – it's a free offering!
GeoGebra is a free and multi-platform dynamic mathematics software for schools that joins geometry, algebra and calculus.
Building an Interactive Document in GeoGebra
Let's go through the process of creating a document in GeoGebra. Our document will allow the end-user to explore the changing slope of a polynomial as x changes value.
First, we enter the function at the bottom of the screen, using the carat "^" for powers of x:
The program converts the function display (see under "Free objects") so that it is more easily read by a human. I have scaled the y-axis by clicking on the "Move" tool (the one on the far top right) and simply dragging the axis to the desired scale.
Next, we are going to add a tangent line to our curve. We add a new point on the function using the "New point" tool:
Note the other tools that are available on this tool item:
Intersection of 2 two curves
Midpoint between 2 points
Now we choose the "Tangent" tool as follows:
Note the other tools that are available on this drop-down. You can construct:
Perpendicular line through a point
Parallel line through a point
Perpendicular bisector
Bisector of an angle
Diameter line of a conic section
We now have a tangent line. The exploratory activity we can do now is to drag the point "A" to any position on the curve and the tangent line follows along. Even better, we can get a readout of the actual slope as we move around the curve, by typing in:
s = Slope[t]
Rather than just giving a numerical value for the slope, it actually gives a triangle with base length 1 unit, indicating more clearly what a slope at a point really means. The result for one part of the curve is as follows:
Visual Calculus
Let's now add the curve of the first derivative to our existing plot. (Of course, we expect the first derivative curve to be a parabola, since it will be a polynomial of degree 2).
We achieve this by entering:
Derivative[f]
The green curve is the first derivative curve (a parabola, as expected):
We can trace the locus of a point (B) moving on the first derivative curve, as follows:
You can use GeoGebra to examine critical points like local maximums and minimums on the curve and the point of inflection (point A) illustrated above.
Other Tools
GeoGebra is a feature-rich offering. The other tools available in GeoGebra that I have not already mentioned include:
Rotate an object around a point
Draw line segments
Draw vectors
Draw polygons (including regular polygons)
Construct various circles, arcs and sectors
Angles, distances and areas
You can add text and images
You can zoom in and out on objects
Split Functions
GeoGebra will draw piece-wise functions (with a little coaxing). You can achieve the following (with a vector thrown in):
Output
I like the variety of output options. You can either:
Save your file for later use (it will have a .GGB extension)
Save the graph as an image in PNG, EPS, SVG or EMF format
Save the graph to the clipboard (for manipulation in an image editing program or for pasting into a document)
(The best one) Save as an interactive Web page
I will be using this tool to create interactive explorations in the Interactive Mathematics site. But for now, here is the above example in a Web page that you can play with. (You don't see the toolbars, of course, just the Drawing Pad:
Euclidean Geometry
As you can see in the regular dodecagon above, GeoGebra allows you to measure angles, including internal angles.
Gripes
You need Java 1.4.2 or later to run GeoGebra.
I've never been a big fan of Java-based software, including those based on Web plugins, because the Java run-time environment is a huge memory hog and it takes a very long time to load. Compared to Adobe's Flash, Java is very bloated.
The size of the associated files in Geogebra is quite crazy:
GeoGebra-parabola.ggb (2 kB) This is the file that I created above (with the parabola and first derivative. Nice and small)
geogebra_properties.jar (340 kB) – why so big? A properties file should consist of a small amount of text, surely?
For comparison, a typical Flash file on the Interactive Mathematics site is around 30 kB and the required plugin is around 2 MB (but this does not get downloaded each time you access a Flash file, just once).
However, being Java-based, GeoGebra will run on any operating system and that is a big plus.
Conclusion
GeoGebra is an impressive geometry and calculus exploratory tool. I will use it over the next few months to create more interactives for the Interactive Mathematics site.
GeoGebra is more intelligent than MS Math 3.0, which I reviewed recently (see Microsoft Math 3.0 Review), but the audience for each product is not exactly the same. Having both products (for under US$20), you will have some excellent tools for exploring mathematics.
Hi, I see you mentioned the files and sizes of the output files. Just a tip here: If you choose export as .html and remove the tick in the "ggb & jar" box, you will only get the .html file. I think it still works! |
Find a Watertown, MA GeometryExamples of applications:
1. Systems of linear equations occur when using Kirchhoff's laws in Physics to solve for currents/resistances in electric circuits.
2. Matrix transformations are used extensively by computer graphics systems. |
Topology
Introduces students to abstract analytic structures and their applications. Familiar concepts from real analysis such as open and closed intervals, limits, and continuity are extended to the more general settings of metric and topological spaces. This greatly expands the scope of their applicability. The material lies at the heart of many developments in modern mathematics and provides a perfect example of the breadth and unity of mathematics.
Available in 2014
1. an awareness of the breadth of mathematics as well as an in-depth knowledge of one specific area. 2. an ability to communicate a convincing and reasoned argument of a mathematical nature in both written and oral form. 3. an understanding of what constitutes a rigorous mathematical argument and how to use reasoning effectively to solve problems. |
With this algebra lesson, students will gather data about different airlines, including flight delays, mishandled baggage and other consumer complaints. The material helps students learn how to effectively analyze data,...
This lesson helps students further their understanding of linear functions by applying the material to a real-world example. The class will use data on an airline flight including travel time, ground speed, time...
With this lesson, students will use tables of fees from a few different cell phone providers to create an algebraic expression that reflects billing for services. The example helps students apply algebraic functions to... |
Procedure AreIsometric checks two plane sets Set1 and Set2 and if there is an isometry of the plane mapping the first set to the second one, then the procedure returns true and false otherwise. Global variable T saves the type of isometry and all its parameters. For example, it returns the rotation center and rotation angle, etc.
Each of the sets Set1 and Set2 is the set (or list) consisting of the following objects in any combinations:
1) The points that are defined as a list of coordinates [х, y] .
2) Segments, which are defined as a set (or list) of two points {[x1, y1], [x2, y2]} or [[x1, y1], [x2, y2]] .
3) Curves, which should be defined as a list of points [[x1, y1], [x2, y2], ..., [xn, yn]].
Maplesoft is a long standing supporter of the Who Wants to Be a Mathematician contest for high school students. For years, we have donated Maple as prizes to winners of the national and regional contests.
This year, being the 25th anniversary of Maplesoft's.
One project we undertook this year is giving an extreme makeover to the Who Wants to Be a Mathematician contest! With Maplesoft as a "Technology Sponsor",.
The 2013 competition is underway, and the results are extremely positive:
The number of students that participated in the contest doubled this year, with over 2000 students from over 150 schools participating.
The competition introduced a second level of tests, making the competition more rigorous. After the first elimination round, eligible contestants moved to a second round with questions of increased difficulty levels.
By avoiding much of the paper work and manual corrections, the organizers saw significant savings in time and money.
.
Who Wants to Be a Mathematician.
More information about the contest that is currently in progress can be found on the AMS website.
Maple IDE team is launching a Tester Program that will allow us to incorporate more input in the product design and development process.
We are looking for regular testers for Maple IDE. Your testing complements our in-team testing of new software versions. By enlisting a diverse group of beta testers, we can see how the software performs when it's being used for normal, ordinary tasks. This lets us provide a more стабле Maple IDE with better user experience. As a member...
You confuse science with engineering, publication with patents. Intellectual property law does not recognize ownership of scientific truth. Your theory is true, or it isn't. You don't 'own' it. An apple does not need Isaac Newton's permission to fall to the ground. The primary protections for inventions are trade secret and patents. The primary protection for other intellectual property is copyright, and wise choices in how you use it and publish it.
Yesterday I attended a lecture by Fran Allen, as part of the "David R. Cheriton School of Computer Science, University of Waterloo, Distinguished Lecture Series". Allen worked a IBM Research from 1957 to 2002, she was awarded the ACM's Turing Award in 2006. Here is her biography from Wikipedia (let's hope it is accurate).
Aside from some technical issues (why can't a room full of computer science professors and students successfully attach a laptop to a projector?) the talk was quite interesting. There were two main sections, the first discussed Allen's career at IBM and the second was about the future of computer science. Allen's work at IBM focused mostly on compilers and high performance computing. She made a few interesting comments about the importance of high performance computing. For example, one of the systems she worked on was designed and used to model the detonations of nuclear weapons. The development of this system ended the need for the United Stated to perform actual test detonations.
Maplesoft has just released a collection of new engineering products, including MapleSim 3, the latest version of our physical modeling tool. It includes a new hydraulics library, more electrical machines and improved solvers which expand the scope of models it can handle. It also comes with a new project manager, more diagnostic tools, a 3-D visualization preview feature, and other improvements to the interface which reduce the development time. See What's New in MapleSim 3 for details.
Is anyone testing in high volume environments with MapleTA. After about a year of continual problems with 3.0 (pretty awful piece of software) and now more with 4.0, I have a hard time believing folks are using the software in high stakes, high volume environments such as placement testing and I'm looking for feedback.
To evaluate some real integrals I use the 'assume' instruction to make sure all the quantities are real. But Maple 12 can't seem to deduce the obvious inequalities from this - testing for them gives a FAIL result. Here is a minimal example:
Hey there everybody. I've been working on the Project Euler (projecteuler.net) problems for a while now, using Maple or J to solve the problems. Some of the problems involve using palindromes or testing for palindromes. I know I can convert the number into a string, reverse it with StringTools, and then parse it back into a number, but that requires a lot of time and resources (the PE problems should be solved in under 1 minute).
Hi,
Would appreciate some help regarding testing Euler's method in Maple.
I have the following function:
dy/dt = - 3*y, y(0)=2, delta t =0.2.
Is there a programme in Maple that would allow to test this method by performing iterations / plotting a graph?
Have already tried Maple help.
Thanx in advance.
antonio |
References: Thomas & Finney, CalculusandAnalyticGeometry, 9thEdition: 4.3, 4.8, 7.2, 7.3 [advanced], 7.4. There is no general rule for evaluating an integral. Each time you have to look for a formula/rule that would
TEXT: CalculusandAnalyticGeometry (9thEdition) by George B. Thomasand Ross L. Finney . OUTLINE AND OBJECTIVES: After several introductory classes to review material and establish ability, philosophy, and intuition, students will systematically progress through Finney at
... 9thEdition, by G. Thomasand R. Finney ... sume working knowledge on one-variable calculus, that is: basic functions, limits, differentiation and integration. In this course we will study calculus in two and three variables. First we will get acquainted with the geometry of the plane and ... |
MathCraft A course in Mathematics Book 8
(Paperback)
MathCraft A course in Mathematics Book 8 Book Description
Mathcraft, an Encyclopedia Britannica series of nine Mathematics books, includes a primer for the Kindergarten and eight textbooks for Classes 1 to 8. Conforming to the National Curriculum Framework 2005, the series aims to develop in students an enthusiasm for this craft of numbers, quantity, and space.
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The book MathCraft A course in Mathematics Book 8 by Ranjana Kumar Jharna De
(author) is published or distributed by Encyclopedia Britannica [8181310667, 9788181310668].
MathCraft A course in Mathematics Book 8 has Paperback binding and this format has 248 number of pages of content for use.
This book by Ranjana Kumar Jharna De |
Introductory and Intermediate Algebra for College Students - 4th edition
TheBlitzer Algebra Seriescombines Introductory and Intermediate Algebra for College Students:
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$108141.7021 |
Algebra
Algebra is typically offered in middle school or high school. Simply put, it is the study of the relationship between sets of numbers. Algebra can solve problems for movie animators and financial planners. It also can explain how spacecraft orbit the earth.
Algebra students must learn a new vocabulary of symbols, equations, and mathematical rules. It is crucial to stay on top of classroom lessons since teachers build from one lesson to another throughout the year.
Huntington helps students prepare for quizzes and tests, keep up with homework assignments and provide one-to-one algebra tutoring that can boost grades to a higher level.
Students can work on these algebra skills:
Algebra 1
Algebra 2
Equations and Functions
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Equations of Lines
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Wiring Linear Equations
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Solving Systems of Equations
Exponential Functions
Factoring Polynomials
Quadratic Equations and Quadratic Functions
Rational Equations and Functions
Equations and Inequalities
Graphing Linear Functions
Solving Linear Equations and Inequalities
Matrices
Polynomials and Radical Expressions
Quadratic Functions and Inequalities
Conic Section
Polynomial Functions
Rational Expressions
Logarithmic Functions
Sequences and Series
Data Analysis
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*ACT is a registered trademark of ACT, Inc.; SAT and AP are registered trademarks of the College Board; and PSAT is a registered trademark of the College Board and National Merit Scholarship Corporation, none of which was involved in the production of, or endorses, this product. Huntington®, Huntington Learning Center®, Huntington Exam Prep®, the distinctive three-leaf logo, and 1 800 CAN LEARN® are registered trademarks of Huntington Mark, LLC. Each franchised Huntington Learning Center is operated under a franchise agreement with Huntington Learning Centers, Inc. |
Many students worry about starting algebra. Pre-Algebra Essentials For Dummies provides an overview of critical pre-algebra concepts to help new algebra students (and their parents) take the next step...
Synopsis: Like its predecessor, Algebra I For Dummies, 2nd Edition tracks to a typical high school Algebra class and has 25% new and revised content to ensure it meets the needs of students and parent...
Algebra II Workbook For Dummies� Synopsis: From radical problems to rational functions �� solve equations with ease Do you have a grasp of Algebra II terms and concepts, but can't seem to work your wa...
Synopsis: Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second�year Algebra coursework to help... |
Interval Methods for Solving Underdetermined. underdetermined systems of equations, interval Newton operators,. In order to keep the book self-contained, various results from linear algebra. Download Free eBook:Interval Methods for Systems of Equations (Encyclopedia of Mathematics and its Applications) by A. Interval Methods for Systems of Equations (Encyclopedia of. Interval Methods for Systems of Equations - A. Interval methods for systems of equations (Open Library) Interval methods for systems of equations by Arnold Neumaier, 1990,Cambridge University Press edition, in English Interval Methods for Solving Underdetermined Nonlinear Equations. In this book emphasis is laid on those aspects of the theory which are useful in actual computations. Cambridge Middle East Library #37: Interval Methods for Systems of Equations. An interval is a natural way of specifying a number that is specified only within certain tolerances. Cambridge Middle East Library #37: Interval Methods for Systems of. Interval Methods for Systems of Equations by Arnold Neumaier.. Neumaier - Free chm, pdf ebooks download . Neumaier - Google Books An interval is a natural way of specifying a number that is specified only within certain tolerances. Amazon.com: Interval Methods for Systems of Equations |
99 Points of Intersection: Examples-Pictures-Proofs
1 rating:
5.0
A book by Hans Walser
This book is highly recommended for geometers of all ages and a wide range of expertise. It would be an excellent resource for a course taught with Dynamic Geomeetry Software. --Mary Coupland, Australian Mathematics Teacher
I was astounded at some of the interestions in this book
The interesting theme of this book is that it is often the case that when some lines intersect, there are others that must also be part of the same intersection. Furthermore, there must be a reason why they intersect. Walser uses diagrams to display the intersections and there are three sections in the book. The first section is the introduction, where equations and their corresponding figures are presented. Section two is a series of 99 diagrams where the emphasis is on how they intersect. Each starts with three small figures, which build towards the larger, complete structure. The third and final section is a brief description of some well-known geometric proofs such as Jacobi's Theorem, Kiepert's Hyperbola and Ceva's Theorem. I was fascinated with some of the 99 figures in the second section. They are designed to be understood as-is without having to resort to equations and textual descriptions. I found that to be the case, it was a rare instance when I had to look at the diagram for more than a few seconds before I understood it. This is an interesting way to teach the joy and wonder of mathematics. For in many cases if I had not seen the diagram, I would not have believed that so many different lines would have intersected the way they did. Especially when the intersection is a single point.
Published in Journal of Recreational Mathematics, reprinted with permission |
Mathematics Course Descriptions
You are here
Number sequencing next to course name means the following: first digit designates the number of lecture hours for the course; the second digit designates the number of lab, clinic or practicum hours; and the third digit designates the credit hours for the course.
MT 091 Prealgebra 4-0-4
This course will review the essential math skills required for success in an elementary algebra course. Topics include: basic arithmetic operations with whole numbers; signed numbers; fractions; decimals; percent; ratio and proportion; basic algebra; graphing. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher.
MT 093 Algebra Part I (with Geometry) 4-0-4
The first in a sequence of preparatory courses. Topics include: fractions; decimals; percent; exponents; real numbers; polynomials; proportions; scientific notation; linear equations and inequalities; graphing; geometric concepts; formulas. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher. (Prerequisite: MT 091 with a "C" or higher, or recommendation of Math Department based on placement testing.)
MT 094 Algebra Part II (with Trigonometry) 4-0-4
The second in a sequence of preparatory courses. Topics include: systems of linear equations; radicals; complex numbers; factoring; rational expressions and equations; quadratic equations; exponential and logarithmic expressions and equations; graphing functions; measurements; trigonometry. A graphing calculator will be required for certain topics.* The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of "C" or higher. (Prerequisite: MT 093 with a grade of "C" or higher.)
MT 115 Practical Mathematics in Electronic Technology 4-1-1
This course is designed to reinforce basic mathematical concepts and introduce terminology and problem solving with applications employed in Engineering Technology to students planning to enter the AGGP, EET, or CPET curriculums. Topics include: algebra; engineering notation; precision and accuracy of numbers; literal equations; unit conversions; basic electric circuits; component identification; measurement techniques. Exercises and laboratory experiments will concentrate on developing methods of analysis employed in problem solving. Emphasis is placed on terminology and development of methods and analytical skills applied in engineering technologies. Theory will be reinforced through laboratory experiments. A graphing calculator will be required.* Grading will be Pass/Fail.
MT 120 Topics in Applied College Mathematics 4-0-4
This course is designed to expose the student to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as the student becomes actively involved in solving applied problems. Topics include: number theory and systems; functions and modeling; finance; geometry; measurement; probability; statistics; selected subtopics related to the student's major field of study. (Prerequisite: MT 093 with a grade of "C" or higher or the high school equivalent with a grade of "C" or higher.)
MT 124 College Algebra 4-0-4
Topics include: linear, quadratic and higher degree equations; rational, radical, exponential, and logarithmic equations; graphs of functions; models and applications of functions; systems of linear equations; matrices, conic sections; sequences and series; trigonometry. A graphing calculator is required.* (Prerequisite: High School Algebra I with a grade of "C" or higher (or equivalent), or MT 093 and MT 094, both with grades of "C" or higher.)
MT 129 Math for Allied Health 3-0-3
This course is designed for students in the allied health fields. Topics include: arithmetic operations; geometry; conversion of units; dosage calculations; linear functions, statistics and probability; inductive and deductive reasoning. A graphing calculator is recommended.* (Prerequisite: High school Algebra I with a grade of "C" or higher, or MT 093 and MT 094 with grades of "C" or higher.)
MT 205 Calculus I 4-0-4
This course in the calculus of one variable will include: limits; derivatives of algebraic, trigonometric, exponential and logarithmic functions; antiderivatives; and an introduction to integration. Applications will be stressed throughout the course including: velocity, acceleration, curve sketching, optimization and related rates. A graphing calculator is required.* (Prerequisite: MT 140 or recommendation of Math Department based on placement testing.)
MT 206 Calculus II 4-0-4
Topics include: indefinite integration; the definite integral; the Fundamental Theorem of Calculus; integrals of elementary transcendental functions; techniques of integration; polar coordinates; and power series including Taylor series. Applications will be stressed throughout the course including: area; volumes of revolution; centroids; and moments of inertia. A graphing calculator is required.* (Prerequisite: MT 205)
MT 271 Probability and Statistics for Engineers and Scientists 4-0-4
Topics include: descriptive statistics; probability and probability distributions; statistical test and confidence intervals for one and two samples; building regression models; designing and analyzing experiments; statistical process control. Includes use of a statistical software package throughout the course. A graphing calculator will be required.* (Prerequisite: MT 205) |
Teaching College Math Using Wolfram|Alpha
John Erickson
John Erickson, an assistant professor of mathematics and computer sciences at Chicago State University, shares an example of how Wolfram|Alpha allows him to show real-world applications of the math he's teaching. |
gebra 1, Student Edition
Glencoe's Algebra 1 and Algebra 2 balance sound skill and concept development with applications, connections, problem solving, critical thinking, and ...Show synopsisGlencoe's Algebra 1 and Algebra 2 balance sound skill and concept development with applications, connections, problem solving, critical thinking, and technology. Whether your students are getting ready for college or the workplace, this program gives them the skills they need for success |
... more...
This book mainly deals with the Bochner–Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner–Riesz means and important achievements attained in the last 50 years. For the Bochner–Riesz means of multiple Fourier integral, it... more...
egghead's Guide to Geometry will help students improve their understanding of the fundamental concepts of geometry. With the help of Peterson's new character, egghead, students can strengthen their math skills with narrative cartoons and graphics. Along the way there are plenty of study tips and exercises, making this the perfect guide for students... more...
Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on... more...
The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies... more...
The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the... more... |
Creating Rich Visualizations to Explore Your Data
Brett Champion
Harness the power of Mathematica to interactively visualize your data. This Wolfram Mathematica Virtual Conference 2011 course features a series of examples that show how to create a rich interface for exploring data in depth.
This course from the Wolfram SystemModeler Virtual Conference 2012 focuses on analyzing model equations and simulation results with Mathematica. You'll also learn about the link between Mathematica and SystemModelerWolfram SystemModeler can be used to model safety-critical systems. This Wolfram Virtual Conference Spring 2013 talk takes a closer look at an aircraft flap system, showing how component faults can be modeled and how their effects on system behavior can be simulatedMethods of accessing Wolfram|Alpha from Mathematica are discussed in this Wolfram Mathematica Virtual Conference 2011 course. Learn how to turn results from Wolfram|Alpha into formatted or raw data and computable code or graphics. |
The following is a Guest Post from Brian Jenkins, who writes content for braintrack.com, where he has been a member of the writing team since 2008.
++++++++++++++++++++++++++++++++++++++
Mathematics has a vital role in a variety of rewarding and good paying careers. For example, algebra is important in the fields of cryptology, computer science, networking, chemistry, and physics. For those who enjoy math, there are many careers in applied mathematics. Graduates with degrees in math are in high demand in a variety of fields.
Computer Graphics and Animation
Many positions in computer graphics involve calculus and linear algebra. To create computer generated dinosaurs and other types of animation a strong foundation is needed in advanced calculus, projective geometry, and differential geometry. Algorithms for computer animation use techniques from scientific computation, statistics, linear algebra, signal processing, control theory, and computational geometry.
Engineers with good math skills are needed to make web pages which can support three-dimensional objects with motion, shading, and other advanced elements.
Operations Research
Operations research includes the application of math for problems of optimization, especially for complex problems and particularly in the field of business. This discipline is also known as management science and industrial engineering.
Internet Businesses
Some major Internet companies hire mathematics graduates. Researchers at Amazon.com and many other companies put together mathematical models of customers and employees. For example, some modules are designed to predict what type of music people will purchase. Yahoo hires mathematicians to work with an enormous pool of data which includes the online activities of millions of registered customers.
Some companies use math to analyze online marketing trends. Those with math skills provide program managers and editors with sophisticated statistical models which provide information such as what types of TV scenes appeal most to certain demographic groups.
Network Security
The cryptology utilized in network security uses mathematical algorithms. Many positions in this field require a high level of mathematical ability.
Finance
Financial mathematics has been described as the development of mathematical tools and computational models for use in the financial industry. These tools and models are used to price new securities, support investment decisions, select portfolios, and manage risk. Mathematics is used on Wall Street for financial derivatives and stock market analysis. Many traders involved with stocks, commodities, and foreign exchange have math degrees.
Government Jobs
Many government jobs with Argonne, Sandia and Oak Ridge National Labs, the Jet Propulsion Lab, NASA, the Department of Agriculture, and the National Institute of Standards and Technology are in the applied mathematics category. Also, some jobs at the National Security Agency are in applied math and some positions are pure mathematics.
Science Careers
The up-and-coming field of biomathematics includes the application of concepts from a wide range of biological fields such as genomics and neuroscience. Bioinformatics (computational biology) is a growing part of the biomathematics field. Biostatistics and epidemiology use a great deal of applied statistics. Epidemiologists study the spread of disease and model how to respond to epidemics.
Data Mining
Data mining involves discovering patterns and previously unknown information in large data sets. Job opportunities are found in fields such as forensics, security, bioinformatics, genomics, e-commerce, medicine, astrophysics, and chemical and electrical power engineering.
Climatology
The field of climatology simulates the component forces that drive the climate. They use sophisticated models, based on physical principles, expressed as complicated partial differential equations. High performance computers are used in this field.
People with good math skills have a variety of careers to choose from. College mathematics courses and degrees are highly beneficial in obtaining a rewarding job.
BrainTrack has been providing useful information on colleges and careers to our millions of annual visitors free of charge since 1996. We offer over 10,000 pages of information on colleges, universities, and careers, both domestically and internationally. Additionally, the New York Times, the Library of Congress, and hundreds of well-respected, global universities and colleges have recognized BrainTrack as a valuable resource by linking to our site. |
A Textbook of Engineering Mathematics (Volume II) is a comprehensive text for the students of engineering
Key features Each topic is treated in a systematic and logical manner Incorporates a large number of solved and unsolved problems for each topic Elucidates all basic concepts with the aid of pedagogical features such as Introduction, Definitions Includes question papers from previous years U.P.T.U. examinations. Several Worked out examples drawn from various examination papers of reupted Universities, as well as I.A.S., P.C.S. competitions. An exhaustive list of "objective type of questions" fill in the blanks and matching the answers type of problems are also provided at the end of each chapter.
This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems.
The Encyclopedia of Mathematics and Society ( Rapidgator )
A fascinating exploration of how mathematics affects our daily lives in sociological, economic, and historical perspectives. Mathematics is at the root of modern civilization, from measuring temperature on a frigid day to driving a car to using a digital camera enthusiasts might say applied mathematics rules the world.
A First Course in Applied Mathematics ( Rapidgator )
Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems
Mathematics for 3D Game Programming and Computer Graphics, Third Edition ( Rapidgator )
Applied Basic Mathematics (2nd Edition) ( Rapidgator )
With an emphasis on real world applications, Applied Basic Mathematics, Second Edition, provides students with a new and refreshing perspective on basic math. Paired with a system of structured support, authors Clark and Brechner consistently asks student to relate, reinforce, and review as they learn. This text provides professors with a dynamic way of teaching the material and an approach that encourages students to dive into the math! |
THE PROGRAM STUDENTS NEED; THE FOCUS TEACHERS WANT! Glencoe Algebra 2is 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.
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. A Reflect The result of this new approach is a handbook which is practical, easy-to-use, and informative. It is an essential guide to the management of common conditions and is invaluable to all those involved in the care of patients with gastrointestinal disease. |
Partial Derivatives is a simple program that finds approximate numerical values for the 1st and 2nd order partial derivatives of a function at a given point. They are approximated using central difference formulas. You may predefine constants.
Finds the prime factors of positive integers, solves triangles and circles problems, manipulates complex numbers, does base conversions. Results can be saved or printed. Includes a help file with instructions, example and methodology.
Finds the relative maxima and minima of multivariable functions in a given interval. It can fully explore defined intervals to search for multiple solutions or quickly find solutions starting with random seeds |
The student will begin to think critically by studying logic, sets and statistical reasoning. The student will examine problem-solving and decision-making by studying probability, application of statistical data, modeling, and financial mathematics. The student will become aware of possible abuses of mathematics. Finally the student will understand the broad usefulness of mathematics by studying history of mathematics and application of mathematics in art, music, business and/or politics. Prerequisite: One year of H.S. algebra or MAT 064 |
Math 389 Winter 2014
Course Links
Michigan Links
Explorations in Mathematics
This course is not like any other in the mathematics department.
The course is designed to show you how new mathematics
is actually created: how to take a problem,
make models and guesses, experiment with
them, and search for underlying structure.
It is suitable for students at many levels.
This course serves also to develop useful skills,
including how to write
and typeset a math paper, making an oral presentation, and
computing with a mathematics software system such as
Mathematica or Maple.
The class will be split into groups, typically of 3
students, who will choose a project, work on it, and submit a written report
describing their findings. We will also have oral reports of some of the
projects. Often, though not necessarily always, your research will involve
computer experiments. Findings should be stated precisely,
either as facts or as
conjectures; proofs will be viewed favorably, but are not required.
Topics range from ones that are treated in mathematics
books to ones that lead to open problems. Few are well defined.
In contrast to
homework assignments for your other classes, you will not be told
precisely what
to compute or to prove. The topics have been chosen because they display
interesting phenomena, but we do not necessarily have a particular result in
mind. And if we did, you might discover something else.
There will be no examinations.
Your grade will be based on the
quality of your team's project work and on the quality of its
written reports,
weighted approximately equally. The class will meet as a group once a week,
Wednesday 5:00 --6:30 pm in the computer lab in East Hall, B743.
In addition,
staff will be available for consultation in
East Hall B743 from 5:00pm --- 7:00pm Monday through Friday. Teams
will typically meet once a week during these other hours.
Organizational details including a timetable for the
projects (assuming three lab projects) are given on the calendar.
The number of
projects to be completed by each group during the term will be
discussed at the opening meeting; it will be either three projects or two
(longer) projects.
This course is modelled after one designed by Prof. Mike Artin
at M. I. T. It has projects suitable for various levels of experience.
Prerequisite:
There are no formal prerequisites, though the course needs an
ability to think mathematically. Students should have taken the
equivalent of three college level mathematics courses, although
talented freshman have successfully taken the course.
Familiarity with a computer program suitable for mathematical modeling is
recommended, but not required. There is no course text.
You will need an override from
the math department to register.
This course counts as one of the four electives required for an honors degree. |
This course features numerous equations and interactions by the professor with a computer application that generates animated visual representations of the equations to enhance your learning experience.
COURSE DESCRIPTION
For centuries, differential equations have been the key to unlocking nature's deepest secrets. Over 300 years ago, Isaac Newton invented differential equations to understand the problem of motion, and he developed calculus in order to solve differential equations. Since then,
differential equations have been the essential tool for analyzing the process of change, whether in physics, engineering, biology, or any other field where it's important to predict how something behaves over time.
The pinnacle of a mathematics education, differential equations assume a basic knowledge of calculus, and they have traditionally required the rote memorization of a vast "cookbook" of formulas and specialized tricks needed to find explicit solutions. Even then, most problems involving differential equations had to be simplified, often in unrealistic ways; and a huge number of equations defied solution at all using these techniques.
But that was before computers revolutionized the field, extending the reach of differential equations into previously unexplored areas and allowing solutions to be approximated and displayed in easy-to-grasp computer graphics. For the first time, a method exists that can start a committed learner on the road to mastering this beautiful application of the ideas and techniques of calculus.
Mastering Differential Equations: The Visual Method takes you on this amazing mathematical journey in 24 intellectually stimulating and visually engaging half-hour lectures taught by a pioneer of the visual approach, Professor Robert L. Devaney of Boston University, coauthor of one of the most widely used textbooks on ordinary differential equations.
Differential Equations without Drudgery
A firm believer that there is no excuse for drudgery in a subject as fascinating as differential equations, Professor Devaney draws on the power of the computer to explore solutions visually. Throughout these graphics-intensive lectures, you investigate the geometric behavior of differential equations, seeing how the computer can calculate approximate solutions with as much precision as needed. And you may be surprised to learn how easily you can calculate and display approximate solutions yourself, even using nothing more than an ordinary spreadsheet. Best of all, the visual method means that unrealistic simplifications need not be applied to a problem.
Among those who will benefit from the exciting approach in Mastering Differential Equations are
college students currently enrolled in a differential equations course, who want the enriching perspective of a leader in the visual approach to the subject;
anyone who has completed calculus, is ready to take the next step, and is eager to see how the tools of calculus are applied to give startling insights into nature;
those who took differential equations in the past and would like a refresher course, especially one that shows today's revolutionary new tools for demystifying and extending the reach of the subject;
anyone who finds math exciting, is up for a challenge, and wants a new window into the elegantly simple structure at the heart of nature's most complex phenomena.
Beautiful Ideas plus Amazing Applications
Differential equations involve velocity, acceleration, growth rates, and other quantities that can be interpreted by derivatives, which are a fundamental concept of calculus. Often expressed with utmost simplicity and mathematical elegance, differential equations underlie some of nature's most intriguing phenomena:
The first and most famous differential equation is Isaac Newton's second law of motion (F = ma), which relates force, mass, and acceleration, allowing the velocity and position of an accelerating object to be determined at any point in time.
The Lorenz differential equation for modeling weather describes the behavior of the atmosphere in terms of a single fluid particle, showing how nature's inherent chaos can be modeled with surprisingly simple mathematics.
Differential equations have been used to model the catastrophic behavior of the Tacoma Narrows Bridge, which famously collapsed in 1940, and London's Millennium Bridge, which appeared headed for the same fate before it was quickly closed for modifications in 2000.
The precipitous drop in the North Atlantic haddock population can be understood as the bifurcation point in a differential equation, in which a slight change in one parameter—the harvesting rate—produces a drastic effect on population growth.
These and countless other applications illustrate the unrivaled ability of differential equations to stop time and sharpen our view into the past and future—a power that has grown enormously with advances in computer technology, as you explore in depth in this course.
A Taste of 21st-Century Mathematics
Each of the four sections of Mastering Differential Equations begins with a phenomenon that can be modeled with differential equations. As you probe deeper, fundamental ideas (the derivative, integral, and vector field) and other relevant tools from calculus are introduced, along with new mathematics, including four lectures on linear algebra and five lectures on chaos theory.
In the first section, you cover first-order differential equations, which involve only the first derivative of the missing function being sought as a solution. When possible, you solve the equations analytically, while making use of a wide range of visual tools, including slope fields, phase lines, and bifurcation diagrams. You also learn how computers use a simple algorithm to generate approximate solutions—and how these techniques can sometimes fail, often due to chaos.
In the second section, you turn to second-order differential equations—those that involve both the first and second derivatives. Using the mass-spring system from physics as a model, you learn that solutions are relatively straightforward as long as the mass-spring system is not forced. But when periodic forcing occurs, much more complicated behaviors arise.
In the third section, you focus on systems of differential equations, starting with linear systems and the techniques of linear algebra, which are pivotal for solving such problems. Then you shift to nonlinear systems, investigating competing species, oscillating chemical reactions, and the Lorenz system of weather modeling—which led to the famous "butterfly effect," one of the ideas that spawned chaos theory.
The final section goes deeper into chaos theory, introducing you to the cutting-edge field of dynamical systems, whose development has exploded, thanks to the rise of visual methods. Here you focus on iterated functions, also known as difference equations. Using the logistic population model from biology, you learn to analyze and understand the sudden appearance of chaos. Then you move onto the complex plane to graph the visually stunning chaos that emerges in such fractal forms as the Mandelbrot set, taking you into realms of cutting-edge mathematics.
The winner of many teaching honors, including the prestigious Deborah and Franklin Tepper Haimo Award for Distinguished University Teaching from the Mathematical Association of America, Professor Devaney is especially excited about the modern mathematics that he brings to this course. Just a few years ago, he notes, students studying differential equations seldom ventured beyond 18th-century mathematics. But Mastering Differential Equations guides you into the 21st century, showing how this deceptively simple tool—the differential equation—continues to give surprising and spectacular insights into both the world of mathematics and the workings of the universe.
LECTURES
24Lectures
A differential equation involves velocities or rates of change. More precisely, it is an equation for a missing mathematical function (or functions) in terms of the derivatives of that function. Starting with simple examples presented graphically, see why differential equations are one of the most powerful tools in mathematics.
Using a limited-growth population model (also known as a logistic growth model), investigate several ways to visualize solutions to autonomous first-order differential equations—those that involve only the first derivative and that do not depend on time. Plot slope-field and solution graphs, and learn about a pictorial tool called a phase line.
Explore the concepts of source, sink, and node. These are the three types of equilibrium solutions to differential equations, which govern the behavior of nearby solutions on a graph. Then turn to the existence and uniqueness theorem, perhaps the most important theorem regarding first-order differential equations.
Sometimes tiny differences in the value of a parameter in a differential equation can lead to drastic changes in the behavior of solutions—a phenomenon called bifurcation. Probe an example involving the harvesting rate of fish, finding the bifurcation point at which fish stocks suddenly collapse.
Turning from the qualitative computer-based approach, try your hand at the standard methods of solving differential equations, specifically those for linear and separable first-order equations. Professor Devaney first reviews integration—the technique from calculus used to solve the examples, including one problem illustrating Newton's law of cooling.
Computers have revolutionized the solution of differential equations. But how do they do it? Learn one simple approach, Euler's method, which allows a very straightforward approximation of solutions. Test it using one of the most surprisingly powerful tools for analyzing differential equations: spreadsheets.
Embark on the second part of the course: systems of differential equations. These are collections of two or more differential equations for missing functions. An intriguing example is the fluctuating population of foxes and rabbits in a predator-prey relationship, each represented by a differential equation.
Advancing to second-order differential equations (those involving both the first and second derivatives), examine a mass-spring system, also known as a harmonic oscillator. Taking three different views of the system, watch its actual motion, its solutions in the phase plane, and the graph of its changing position and velocity.
Consider cases of a spring with no or very little friction. In solving these differential equations, encounter one of the most beautiful and important formulas in all of mathematics, Euler's formula, which shows the deep link between complex exponential functions and trigonometric functions.
Analyze what happens when force is applied to a spring in a periodic fashion. The resulting motions are very different depending on the relationship of the natural frequency and the forcing frequency. When these are the same, disaster strikes—a phenomenon that may have contributed to the famous collapse of the Tacoma Narrows Bridge.
Begin a series of lectures on linear systems of differential equations by delving into linear algebra, which provides tools for solving these problems. Review vector notation, matrix arithmetic, the concept of the determinant, and the conditions under which equilibrium solutions arise.
Explore more ideas from linear algebra, learning about eigenvalues and eigenvectors, which are the key to finding straight-line solutions for linear systems of differential equations. From these special solutions, all possible solutions can be generated for any given initial conditions.
Professor Devaney summarizes the steps for solving linear systems of differential equations, pointing out that complex eigenvalues are one possibility. Discover that in this case Euler's formula is used, which yields solutions that depend on both exponential and trigonometric functions.
Turn to the special cases of repeated eigenvalues and zero eigenvalues. Then end this part of the course with a computer visualization of all possible types of phase planes for linear systems, seeing their connection to the bifurcation diagrams from Lecture 4.
Most applications of differential equations arise in nonlinear systems. Begin your study of these challenging problems with a nonlinear model of a predator-prey relationship. Learn to use an analytical tool called the nullcline to get a global picture of the behavior of solutions in such systems.
Experiment with another tool for coping with nonlinear systems: linearization. Given an equilibrium point for a nonlinear system, it's possible to approximate the behavior of nearby solutions by dropping the nonlinear terms and considering the corresponding linearized system, which involves an expression called the Jacobian matrix.
Combine linearization and nullclines to analyze what happens when two species compete. The resulting system of differential equations depends on several different parameters, yielding many possible outcomes—from rapid extinction of one species to a coexistence equilibrium for both. As the parameters change, bifurcations arise.
Use nullclines and linearization to investigate a startling phenomenon in chemistry. Before the 1950s, it was thought that all chemical reactions tended to equilibrium. But the Russian chemist Boris Belousov discovered a reaction that oscillated for hours. Your analysis shows how differential equations can model this process.
Focusing on the nonlinear behavior of a pendulum, learn new ways to deal with nonlinear systems of differential equations. These include Hamiltonian and Lyapunov functions. A Hamiltonian function remains constant along all solutions of special differential equations, while a Lyapunov function decreases along all solutions.
Study the behavior of a periodically forced nonlinear pendulum to see how tiny changes in the initial position lead to radically different outcomes. To understand this chaotic behavior, turn to the Lorenz equation from meteorology, which was the first system of differential equations to exhibit chaos.
Mathematicians understand chaotic behavior in certain differential equations by reducing them to an iterated function (also known as a difference equation). Try several examples using a spreadsheet. Then delve deeper into the subject by applying difference equations to the discrete logistic population model.
Continuing with the discrete logistic population model, notice that fixed and periodic points play the role in difference equations that equilibrium points play in differential equations. Also investigate Sharkovsky's theorem from 1964, a result that heralded the first use of the word "chaos" in the science literature.
How do mathematicians understand chaotic behavior? Starting with a simple function that is behaving chaotically, move off the real line and onto what at first appears to be a much more complicated space, but one that is an ideal setting for analyzing chaos.
What is the big picture of chaos that is now emerging? Center your investigation on the complex plane, where iterated functions produce shapes called fractals, including the Mandelbrot and Julia sets. Close by considering how far you've come—from the dawn of differential equations in the 17th century to fractals and beyond.
Dr. Robert L. Devaney is Professor of Mathematics at Boston University. He earned his undergraduate degree from the College of the Holy Cross and his Ph.D. from the University of California, Berkeley. His main area of research is dynamical systems, including chaos.
Professor Devaney's teaching has been recognized with many awards, including the Feld Family Professor of Teaching Excellence, the Scholar/Teacher of the Year, and the Metcalf Award for Teaching Excellence, all from Boston University; and the Deborah and Franklin Tepper Haimo Award for Distinguished University Teaching from the Mathematical Association of America. In 2002 he received a National Science Foundation Director's Award for Distinguished Teaching Scholars, as well as the International Conference on Technology in Collegiate Mathematics Award for Excellence and Innovation with the Use of Technology in Collegiate Mathematics. In 2004 he was named the Carnegie/CASE Massachusetts Professor of the Year, and in 2009 he was inducted into the Massachusetts Mathematics Educators Hall of Fame.
Since 1989 Professor Devaney has been director of the National Science Foundation's Dynamical Systems and Technology Project, leading to a wide array of computer programs for exploring dynamical systems. He also produced the Mandelbrot Set Explorer, an online, interactive series to introduce students at all levels to the mathematics behind the fractal images known as the Mandelbrot and Julia sets.
In addition to writing many professional papers and books, Professor Devaney is the coauthor of Differential Equations, a textbook now in its 4th edition, which takes a fundamentally visual approach to solving ordinary differential equations.
VIDEO OR AUDIO?
This course features numerous equations and interactions by the professor with a computer application that generates animated visual representations of the equations to enhance your learning experience. |
calculus: Mathematics for Calculus
This best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling ...Show synopsisThis best selling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principles of mathematical thinking. Comprehensive and evenly paced, this book provides complete coverage of the function concept, and integrates a significant amount of graphing calculator material to help students develop insight into mathematical ideas. The authors' attention to detail and clarity, the same as found in James Stewart's market-leading Calculus text, is what makes this text the market leader Paperback. International Edition: Almost new condition....Fine. Paperback. International Edition: Almost new condition. SKU: 9780840068866-2-0-15 pp. 1008. International Edition, wear to cover and edges,...Good. pp. 1008. International Edition, wear to cover and edges, light creases to corner of cover and some pages, clean text.
Description:Fine. Hardcover. Instructor Edition: Same as student edition...Fine. Hardcover. Instructor Edition: Same as student edition but has free copy markings. Almost new condition. SKU: 9780840068071 Custom edition for Wayne State University. Book is in...Good. Custom edition for Wayne State University. Book is in overall good condition! ! Cover shows some edge wear and corners are lightly worn. Pages have a minimal to moderate amount of markings. FAST SHIPPING W/USPS TRACKING! ! !
Reviews of Precalculus: Mathematics for Calculus
Book is actually pretty good, I like the fact that its first chapter is a review of stuff from intermediate algebra...if you are using this book...and you have just finished intermediate/college algebra...get this book and do each section of ch. 1...this will set you up for a good foundation for the ...
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A beautiful presentation and treatment of all math required before studying calculus. Comprehensive, and a strong focus on theory. Lots of problems to test yourself. Get through this and then star in your calculus study, as you are now VERY well prepared.
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This book is one of the best out there in the current markets. Dr. Stewart explains this subject with geometrical shapes to better understand the subject. For example he explains and proves the the phytogorean theorem, laws of sines and cosines, and alot more. Highly recommend this book as well as |
Galena Park Statistics introduce students to iterative software life cycles. Finally, I show students how to test their code and evaluate the effectiveness of their solutions from a user's perspective. I have taught a full range of computer science and software engineering courses at the undergraduate and graduate levelThis can be approached as a discovery project, a computer based visual learning program, a tactile course taught with manipulatives a traditional textbook based approach or a combination of any of these. Algebra 2 expands on the topics covered in algebra 1 by focusing on symbolic reasoning. We study functions, equations, and their relationships. |
The ToKToL online adaptive learning platform contains a large (2000) set of maths questions and associated explanatory texts. Questions are selected to adjust to the ability of the student so that whe... More: lessons, discussions, ratings, reviews,...
The applet plots consecutive terms of a user-defined sequence or a series of functions. Those can be, in particlular, Taylor series and Fourier series. A piecewise defined limit function can also be e... More: lessons, discussions, ratings, reviews,...
This TI Interactive file is best suited for teacher demonstration. This document allows the user to define a function f(x). The slider bar's values range from [0, 10] with an increment of 1. As the u... More: lessons, discussions, ratings, reviews,...
The Temperature module covers how to read and estimate temperature using a thermometer, and understanding Celcius and Farenheit with particular emphasis on Celcius (the standard in the UK), using fact |
Commons math
Commons Math is made up of a small set of math/stat utilities
addressing programming problems like the ones in the list below:
- Computing means, variances and other summary statistics for a
list of numbers - Fitting a line to a set of data points using
linear regression - Finding a smooth curve that passes through a
collection of points (interpolation) - Fitting a parametric
model to a set of measurements using least-squares methods -
Solving equations involving real-valued functions (i.e. root-
finding) - Solving systems of linear equations - Solving
Ordinary Differential Equations - Minimizing multi-dimensional
functions - Generating random numbers with more restrictions
(e.g distribution, range) than what is possible using the JDK -
Generating random samples and/or datasets that are "like" the
data in an input file - Performing statistical significance
tests - Miscellaneous mathematical functions such as factorials,
binomial coefficients and "special functions" (e.g. gamma, beta
functions |
Algor
Algor recently announced that its university licenses will include FEA in Practice, a course curriculum package with materials to assist in incorporating FEA into the classroom. Algor's university pricing |
Mathematics for the Trades: A Guided Approach (9th Edition)
Book Description: MATHEMATICS FOR THE TRADES: A GUIDED APPROACH, 9/e focuses on the fundamental concepts of arithmetic, algebra, geometry and trigonometry needed by learners in technical trade programs. A wealth of exercises and applications, coded by trade area, include such trades as machine tool, plumbing, carpentry, electrician, auto mechanic, construction, electronics, metal-working, landscaping, drafting, manufacturing, HVAC, police science, food service, and many other occupational and vocational programs. The authors interviewed trades workers, apprentices, teachers, and training program directors to ensure realistic problems and applications and added over 100 new exercises to this edition. geometry, triangle trigonometry, and advanced algebra. For individuals who will need technical math skills to succeed in a wide variety of trades |
Students find patterns in a sequence. In this sequences and series lesson, students use their calculator to find the sequence of partial sums. They graph functions and explore convergent series. Students approximate alternating series.
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or diverging. |
AIM AND SCOPE
Mathematics has a wide variety of branches. Despite this, we in the
International Congress on Mathematical Software believe that mathematics is
fundamentally just one thing. Algebra, geometry and analysis are examples of
separate specialities within mathematics, and of course we consider each of
them valuable and hence study them. But we take the view that any branch of
mathematics can borrow freely from these specialities. It is often worthwhile
delving into them for ideas that might lead to fundamental new discoveries.
The same can be said of mathematical software systems: the study of
mathematical software is a coherent whole. We believe that the appearance of
mathematical software is a fundamentally new event in mathematics of increasing
importance. Mathematical software systems are used to construct examples, to
prove theorems, and to find new mathematical phenomena. Conversely, mathematical
research often motivates developments of new algorithms and new systems. Beyond
mathematics, mathematical software systems are becoming indispensable tools in
many branches of science and technology. The development of mathematical
software systems relies on the cooperation of mathematicians, algorithm
designers, programmers, and the feedback from users. The main audience of this
congress is the community of mathematical software developers and programming
mathematicians, but we also intend to provide an opportunity to discuss these
topics with mathematicians and users from application areas. Topics include but
are not limited to: |
Mathematics at Ordinarylevel places particular emphasis on the development of mathematics as a body of knowledge and skills that makes sense, and that can be used in many different ways as an efficient system for solving problems and finding answers.
ordinarylevelmathematics pupils of 54%, high school B had 25% of pupils and high school C had 21% with a total enrolment of 784. The researchers opted for form four pupils just before they sat for their final national examinations in 2010 so as to get pupils attitudes after preparing ...
Ordinary: This paper will cover the Leaving Certificate OrdinaryLevelMathematics syllabus as defined for Leaving Certificate Examinations 2013. There will be two sections A & B in the paper, each having four questions. Section A
The two Ordinarylevel courses are complementary to each other, catering for different populations with different interests, needs, ... new syllabus in Mathematics – Foundation Level has been introduced for the Leaving Certificate Examination in 1997 and after. 3.6 ORDINARY ALTERNATIVE COURSE: ...
Cambridge O LevelMathematics is recognised by universities and employers throughout the world as proof of mathematical knowledge and understanding. ... OrdinaryLevel (O Level) results are shown by one of the grades A, B, C, D or E indicating the standard
Relatively few students who pass OrdinaryLevelMathematics go on to take Advanced LevelMathematics two years later in form 6B. 11. The G.C.E. OrdinaryLevel, a most important milestone in the life of every
competence for effective teaching of Basic and Additional Mathematics in the ordinarylevel secondary schools. Rationale for review of the subject syllabus Mathematics is poorly performed subject at al levels of education in the country.
must pass the OrdinaryLevel examination in order take the Advanced Level examination. ... = 360) were mathematics test marks of grade 11 Ordinarylevel students in Dehiowita educational zone collected during the last term of the 2009 school year. |
9th grade math - grades 9 - 12 | houghton mifflin harcourt, No other high school math curriculum empowers students to develop the core skills they need like holt mcdougal algebra 1, geometry, and algebra 2..
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Holt McDougal Larson Algebra 1, Geometry, Algebra 2, and Pre-Algebra |
INTRANET
Math Major
Introduction
The mathematical challenges facing the twenty-first century Navy touch a vast number of sub-disciplines in mathematics, from the traditional applied math subjects of numerical analysis, engineering mathematics, operations research , and statistics to problems applying discrete math, algebra, and algebraic geometry. The Mathematics Major also provides an excellent foundation for graduate work in any technical field as well as in economics, business, or law. The USNA Mathematics Department now offers two tracks, in order to provide midshipmen more in-depth study in a particular area of mathematics, culminating in a capstone project in the first-class year. Both tracks teach midshipmen to think logically and critically and provide excellent background for further study in mathematics and the sciences. Honors programs are available in both tracks.
Applied Mathematics Track
The Applied Mathematics Track focuses on modeling, estimation, and numerical approximation methods. The primary emphasis of this track is modeling of real-world problems. Students study methods used to obtain numerical results to various problems and analyze (or predict) the errors produced by those approximations. Students have the opportunity to learn about Navy applications. Mathematics has been a significant enabler in the DoD's Autonomous Vehicle Program, specifically the drone program, by developing techniques for image segmentation and automatic target recognition. Algorithm development for inverse problems especially in the areas of underwater acoustics and electromagnetics continues to play a critical role in enhancing DoN's capabilities in signal processing and sensor development. Mathematics is a key tool in DoD's laser research in the fields of laser communication and directed energy. Mathematics is a pivotal scientific component in our understanding of ocean currents, weather prediction and climate change, all established areas of need for the Navy. The mathematics department offers special topics courses, capstone and honors projects, and Bowman and Trident Scholar research on these and other applications.
Mathematics Track
The Mathematics Track offers more background in theory and foundations of mathematics, with courses in the traditional areas of analysis, linear algebra, complex variables, algebra, topology, geometry, and combinatorics, applications such as cryptography and coding theory, and special topics courses such as differential geometry, algebraic geometry, and mathematical physics. |
Elementary Algebra : Graphs and Models - 05 edition
Summary: Geared toward helping students visualize and apply mathematics, Elementary Algebra: Graphs and Models uses illustrations, graphs, and graphing technology to enhance students' mathematical skills. This is accomplished through Interactive Discoveries, Algebraic/Graphical Side-by-Sides, and the incorporation of real-data applications. In addition, students are taught problem-solving skills using the Bittinger hallmark five-step problem-solving process coupled with Connec...show moreting the Concepts and Aha! exercises. And, as you have come to expect with any Bittinger text, we bring you a complete supplements package that now includes an Annotated Instructor's Edition and MyMathLab, Addison-Wesley's online course solutionGood
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Graphing
Author:
Unknown
ISBN-13:
9780768202335
ISBN:
0768202337
Publisher: Schaffer Publications, Frank
Summary: Help students succeed in math! Math Minders provide students with the self-confidence they need to succeed in math. Students learn one step at a time, reviewing skills learned in earlier grades, then moving to skills appropriate for their grade level. They progress gradually, giving them the constant feeling of success! Vocabulary is kept at a level appropriate for each grade level to help ensure success. Fun and sim...ple formats help maintain a high level of student interest. Perfect for home or school, or to reinforce any existing math program |
A math professor is a teacher who works at the junior college, four-year college or university level and tends to possess, at the very least, a master's degree. At universities, these teachers more often have a Ph.D in mathematics. What a math professor could do depends on teaching environment, personal strengths, interests, and training.
In junior colleges, the math professor may teach a number of classes that can begin to move past rudimentary topics like calculus and trigonometry and might form the beginning of advanced training in mathematics. Yet, many times junior colleges also have remedial math courses. The math professor might take or be assigned some classes at the remedial level, and teach topics like beginning or advanced algebra.
This gives students an opportunity to catch up prior to studying at more advanced levels. There are also math courses designed for non-math majors to meet liberal arts math requirements, and sometimes the math professor will either design or teach these courses. They often have a language-based approach to math and sensitive teachers may volunteer to take these classes since students taking them can suffer from math anxiety or from histories of repeated failure in math topics.
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In four year and above college settings, the job of the math professor could be slightly different. There are fewer remedial courses but there are still many introductory level classes to be taught. These are only the beginning, though, and professors may teach classes designed for math majors, which get increasingly complex. Math professors can also be responsible for teaching material like statistics that may be used by people majoring in other areas, such as business or accounting.
College and university settings typically require the math professor to teach fewer courses. In junior colleges, professors who are full-time tend to teach five classes a semester. In other universities this number could be dropped to four or three.
If there are graduate programs, students may be expected to do part of the teaching, and professors could employ them or supervise them as part of their work. Professors who teach graduate classes may have other supervisory roles with graduate students. They may work as thesis or dissertation advisors and be required to determine pass or failure when graduate students finish these final projects.
Lots of universities require that the math professor be involved in research or study to further the profession and gain the university additional credibility. Lower number of classes taught helps ensure that teachers have time for these pursuits. Research is usually not undertaken fully alone, and, here again, teachers might employ graduate students as assistants.
Given the practical applications of mathematics, the discipline touches many majors. Professors in math could spend time helping to develop needed curricula for other departments, such as science, pre-med, public health, statistics, business, and many others, where a certain skill level in math is required, Sometimes professors in more than one discipline work together to design or teach courses that overlap two majors, or math professors work in a department that is not the mathematics |
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Starting at $45Workbook for Prealgebra and Introductory Algebra: An Applied Approach, 2nd
Summary
As in previous editions, the focus in PREALGEBRA & INTRODUCTORY ALGEBRA remains on the Aufmann Interactive Method (AIM). Users are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts. |
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After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle |
Introduction to MATLAB
This course is an introduction to the elements and practicalities of computer programming through the MATLAB mathematical computing environment. No previous programming experience is required (students already familiar with the topics described here after are discouraged to take the course). At the end of the course students will have the basics for using MATLAB in their own project work.
The course is organized in six sessions, each of them include one hour of theory and two hours of hands-on exercises. The topics are organized as follows: |
The Algebra 2 Tutor DVD Series teaches students the core topics of Algebra 2 and bridges the gap between Algebra 1 and Trigonometry, providing students with essential skills for understanding advanced mathematics.
This lesson teaches students how to solve equations that contain polynomials that cannot be easily factored. In order to do this, the quadratic formula must be used. Students are introduced to the quadratic formula and taught how to properly apply it to the equation at hand. Grades 8-12. 15 minutes on DVD. |
All three books in the #1† New York Times †bestsellingNeed to Learn MATLAB? Problem SOLVED! Get started using MATLAB right away with help from this hands-on guide. MATLAB Demystified offers an effective and enlightening method for learning how to get the most out this powerful computational mathematics tool.† Using an easy-to-follow format, this book explains the basics of MATLAB up front. You'llThis book shows how to look at ways of visualizing large datasets, whether large in numbers of cases, or large in numbers of variables, or large in both. All ideas are illustrated with displays from analyses of real datasets and the importance of interpreting displays effectively is emphasized. Graphics should be drawn to convey information and the... |
Intended Outcomes for the course
1. Use linear and rational models in academic and non-academic environments. 2. Recognize connections between graphical and algebraic representations in academic and non-academic settings. 3. Interpret graphs in academic and non-academic contexts. 4. Be prepared for future coursework that requires the use of algebraic concepts and an understanding of functions.
Outcome Assessment Strategies
Assessment shall include:
The following topics must be assessed in a closed-book, no-note, no-calculator setting:,
finding the equation of the linear function given two ordered pairs stated using function notation
simplifying rational expressions
solving rational equations
determining the domain of rational functions
evaluating algebraic expressions that include function notation
At least two proctored closed-book, no-note examinations, one of which is the comprehensive final. These exams must consist primarily of free response questions although a limited number of multiple choice and/or fill in the blank questions may be used where appropriate.
Assessment must include evaluation of the student€™s ability to arrive at correct and appropriate conclusions using proper mathematical procedures and proper mathematical notation. Additionally, each student must be assessed on their ability to use appropriate organizational strategies and their ability to write conclusions appropriate to the problem.
At least two of the following additional measures:,
graded homework
quizzes
group projects
individual projects
in-class activities
Optional additional measures may include:,
attendance
portfolios
individual student conferences
in-class participation
Course Content (Themes, Concepts, Issues and Skills)
Themes:
Functions and function notation
Functions represented as graphs, tables, equations and in words
Connection between symbolic and graphical representations
Algebraic simplification of expressions and solving of equations
Problem solving and modeling, interpreting results in practical terms
Language of graphs
Skills:
1. Calculator (integrated throughout the course)
1.1. Use the home screen carry out arithmetic operations
1.2. Use the calculator's table feature to explore functions
1.3. Graph functions
1.3.1. Input the appropriate window settings to view the graph
1.3.2. Use calculation tools
1.3.2.1. Value
1.3.2.2. Zero
1.3.2.3. Intersect
1.4. Understand that the calculator has limitations
2. Functions
2.1. Understand and apply the definition of function
2.2. Determine whether one quantity is a function of another algebraically, graphically, numerically and within real life contexts by applying the definition of a function
2.3. Domain
2.3.1. Understand the definition of domain (the set of all possible inputs)
2.5.4. Solve function inequalities algebraically (i.e. f(x)>b, f(x)>g(x), and a<f(x)<b where f and g are linear functions and f(x)>b and f(x)<b where f is an absolute value function)
2.5.5. Solve function inequalities graphically (i.e.f(x)>b, f(x)>g(x), and a<f(x)<b where f and g should include but not be limited to linear functions, and f(x)>b for quadratic and absolute value functions)
2.5.6. Solve function inequalities graphically (i.e.f(x)>b, f(x)>g(x), and a<f(x)<b where fand gshould include but not be limited to linear functions and absolute value functions)
2.6. Graphs of functions
2.6.1. Use the language of graphs and understand how to present answers to questions based on the graph (i.e. read the x value of an intersection to solve an equation and understand that f(2) is a number not a point)
2.6.2. Determine function values, solve equations and inequalities, and find domain and range given a graph
Functions should be studied symbolically, graphically, numerically and verbally.
As much as possible, instructors should present functions that model real-world problems and relationships to address the content outlined on this CCOG.
Function notation is emphasized and should be used whenever it is appropriate in the course.
Students should be required to use proper mathematical language and notation. This includes using equal signs appropriately, labeling and scaling the axes of graphs appropriately, using correct units throughout the problem solving process, conveying answers in complete sentences when appropriate, and in general, using the required symbols correctly.
Students should understand the fundamental differences between expressions and equations including their definitions and proper notations.
All mathematical work should be organized so that it is clear and obvious what techniques the student employed to find his answer. Showing scratch work in the middle of a problem is not acceptable.
Since technology is used throughout the course, there is a required calculator packet for students that gives directions for several graphing calculators. The students should understand the limitations of calculator€"i.e. when the calculator gives misleading information. Examples of the calculator€™s limitations include the following: when finding horizontal intercepts, the calculator sometimes gives something like y = 3E-13; the calculator rounds to 12 or fewer decimal places; some calculators appear to show vertical asymptotes on the graphs of rational functions; it appears that the graph of y=1x2 touches the x axis; the calculator does not show holes on rational function graphs; the calculator cannot handle very large numbers, e.g. 101000=ˆž etc.
For dividing rational expressions as in 3.3.3 and 3.3.3.1, focus on examples where the letters represent real numbers and linear polynomials. E.g. 3x5, xˆ'2x5, and 3x4xxˆ'4
As much as possible, instructors should present functions that model real-world problems and relationships to address the content outlined on this CCOG.
For simplifying complex rational expressions as in 3.3.6.1, a major emphasis shall be placed on cases where a,b,c,d,e, andf (as above) represent real numbers, linear polynomials in one variable. For example, 1x+1x+25 or 231x+52 would be good examples. |
MATHEMATICS A Textbook for class IX (NCERT) RECOMMENDED BOOKS: MATHEMATICS for class IX- R.S.Aggarwal / R.D.Sharma Month Course Content April CH-1: Number System CH 3: Coordinate Geometry Activity 1: To represent an irrational number on a number line
MCB Units: Children, Sports and Games, Mystery, The Class IX SUGGESTIONS TO PARENTS Parents must encourage their children to converse in English. ... Together with MathematicsMathematics by R. D. Sharma RECOMMENDED BOOKS Mathematics: NCERT MONTH NO. OF WORKING DAYS COURSE CONTENT
... students shall revise the lessons and poems done in the class:- a) My mother at sixty six. b) An ... MATHEMATICS-XII 1. Solve the assignments of chapter ... For differentiation and continuity solve for R.D. Sharma with example and exercise. 4. Solve the question paper of first U.T ...
DIAGNOSIS AND REMEDIATION OF LEARNING PROBLEMS IN MATHEMATICS JULY 13 - 17, 2009 ... Mathematics," and Editor of "The Mathematics Notebook." Professor Sharma provides direct services of ... on the first day of class. Materials: Required materials are included. |
Integrated Arithmetic and Basic Algebra
9780321442550
ISBN:
0321442555
Pub Date: 2007 Publisher: Addison-Wesley
Summary: A combination of a basic mathematics or prealgebra text and an introductory algebra text, this work provides an integrated presentation of the material for these courses in a way that is beneficial to students.
Jordan, Bill E. is the author of Integrated Arithmetic and Basic Algebra, published 2007 under ISBN 9780321442550 and 0321442555. One hundred ninety nine Integrated Arithmetic and Basic Algebra textb...ooks are available for sale on ValoreBooks.com, seventy four used from the cheapest price of $0.01, or buy new starting at $41 |
For future reference, you can create a Discussion in the appropriate Hub to reach a more targeted audience - in this instance, the Student Hub. There is a "Start a Discussion" link in the Student Hub: You can post your question and watch the magic happen as other student collaborate with you!
Some math professors don't let you use calculators on exams/quizzes/etc. The physics/chemistry professors usually do, however. Most students have a calculator that can at least do graphing/matrices just in case.
You won't need a calculator for any Calc classes (and you probably shouldn't even use them outside of class no matter how tempted you are.) If you have the money/can find a cheap one I'd go for the TI-89. (Just because they make some classes easier and you may want to get used to it for a bit.) But a TI-84 (or any similar graphing calculator) will be just fine. At some point, you may need a simple non-graphing calculator. But you can find those for ~$10 in the bookstore and cheaper other places, so don't worry about those.
A majority of classes only allow calculators up to a TI-36, especially architectural engineering classes. That is the highest level calculator allowed for use on the FE Exam, so that is where the standard comes from |
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This introduction presents the mathematical theory of probability for readers in the fields of engineering and the sciences who possess knowledge of elementary calculus.Presents new examples and exercises throughout. Offers a new section that presents an elegant way of computing the moments of random variables defined as the number of events that occur. Gives applications to binomial, hypergeometric, and negative hypergeometric random variables, as well as random variables resulting from coupon collecting and match models. Provides additional results on inclusion-exclusion identity, Poisson paradigm, multinomial distribution, and bivariate normal distributionA useful reference for engineering and science professionals. |
Tyngsboro CalculusUsually this involves doing lots of examples, discussing problem solving strategies and working through practice problems. Algebra is one of the fundamental tools used in theoretical physics. During my physics education it was necessary to become proficient in algebra |
Enhanced with Graphing Utilities
Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with ...Show synopsisMichael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Serieshas evolved to meet today's course needs by integrating the usage of graphing calculator, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors. In the Sixth Edition, new worksheets in MyMathLab-developed from the authors' experience in the classroom-provide mixed review for students who having trouble reconciling various topics, and also give students an opportunity to show their work. The "Are You Prepared?" section openers focus on students mastering the prerequisite material before beginning a new topic, and for the first time, those exercises are assignable in MyMathLab. Concept and Vocabulary exercises are also now assignable in MyMathLab as reading quizzes.Hide synopsis95465Fine. Hardcover. Almost new condition. SKU: 9780321795465-2-0-3...Fine. Hardcover. Almost new condition. SKU: 9780321795465 |
Summary: Math 430 Homework 1 Section 1.3 Sally Student
1. This sample document provides a template for writing a LATEXdocument suitable for homework
assignments and projects in Math 475. First be sure to put your name and the assignment
above. The first few "problems" will explain how the document works. Then there will be some
"problems" that illustrate various notations and formatting environments. Compare what is
in the typeset version of this document to the file latexsample.tex. Note in particular that
anything typed after a percent sign in the text file is treated as a comment and is ignored by
the compiler. Comments in the text file refer both to LATEXand to hints about writing good
solutions and proofs.
(a) To list things in numerical order, use the "enumerate" command. This can be nested as
shown.
(b) To list things that are not in numerical order, you can use the "itemize" command.
· If you don't put anything after the item, it will look like this with a bullet.
Problem 1.3.1 If you want to put something else, other than a number, letter or bullet,
use the description command, and put what you want in square brackets.
Problem 1.3.2 This is what you should use if you need numbers that aren't in numerical
order, such as homework or project exercises.
(c) Don't forget to end each enumerate and itemize loop.
(d) If you don't, you will get an error when you compile.
2. The very basics of LATEX(compare the typeset document and the text file): |
A Collection of Tools for Multivariable Calculus
The mathlets presented here provide user-friendly tools for visualizing and manipulating
basic objects of multivariable calculus: parametric surfaces in
rectangular, spherical and cylindrical coordinates,
parametric curves, and graphs of functions of two variables. The user can enter his or her expressions using familiar graphing calculator syntax. The mathlets will plot the corresponding surface or curve which then can be rotated in real time.
One of the mathlets is devoted to exploring
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Description
Math Helper solves math problems and shows step-by-step solution. |
Book summary
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