Overview

This book is designed for current calculus students to review the algebra and trigonometry skills that are so crucial for success in calculus. Organized to correspond to a typical calculus course, relevant algebra and trigonometry topics are presented just as students need them, with warnings about pitfalls and exercise sets for practice. Whether used as a reference or for catching up, this text will prove invaluable for all students taking calculus.   Note: a different version of this book is available specifically for Early Transcendentals calculus courses.  

Full Product Details

Author:   Guntram Mueller ,  Ronald Brent ,  Ronald Brent ,  Ronald Brent
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   4th edition
Dimensions:   Width: 21.10cm , Height: 1.20cm , Length: 27.40cm
Weight:   0.480kg
ISBN:  

9780321671042

ISBN 10:   032167104
Pages:   216
Publication Date:   14 September 2012
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Calculus Topic: Review of Basics 1. Numbers and Their Disguises Brackets, multiplying and dividing fractions, adding and subtracting fractions, exponents, roots, percent, scientific notation, calculators, rounding, intervals   Calculus Topic: Circles, Parabolas, etc. 2. Completing the Square Completing the square in one and two variables   Calculus Topic: Equations 3. Solving Equations Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property   Calculus Topic: Functions and Graphs 4. Functions and Their Graphs Introduction, equations of lines, power functions, shifting graphs, intersection of curves   Calculus Topic: Limits 5. Changing the Form of a Function Factoring, canceling, long division, rationalizing, extracting a factor from under a radical   Calculus Topic: Derivatives 6. Simplifying Algebraic Expressions Working with difference quotients and rational functions, canceling common factors, rationalizing expressions   Calculus Topic: Derivatives of Trigonometric Functions 7. Cyclic Phenomena: The Six Basic Trigonometric Functions Angles, definitions of the six trigonometric functions, special angles, graphs involving sin x and cos x, graphs of complex trigonometric functions   Calculus Topic: The Chain Rule 8. Composition and Decomposition of Functions Composite functions, inner, outer, and outermost functions, decomposing composite functions   Calculus Topic: Implicit Differentiation 9. Equations of Degree 1 Revisited Solving linear equations involving derivatives   Calculus Topic: Related Rates, Applied Max-Min Problems 10. Word Problems Algebraic word problems; the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines   Calculus Topic: Integrating Trigonometric Functions 11. Trigonometric Identities Rewriting trigonometric expressions using identities   Appendices A. Exponential Functions B. Inverse Functions C. Logarithmic Functions D. Inverse Trigonometric Functions E. The Binomial Theorem E. Derivation of the Quadratic Formula   Answers to Exercises Index

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Author Information

Guntram B. Mueller received his PhD in Mathematics  from the University of Notre Dame. He has taught calculus many times and is very familiar with the typical strengths and weaknesses in the backgrounds of his students. That experience is what guided him, in cooperation with Dr. Ron Brent, in writing the Just-in-Time series. His advice? Buy the book! It's got just what you need, just in time.   Ronald I. Brent is a Professor of Mathematics at University of Massachusetts, Lowell, where he has taught since 1987. He earned his PhD in Mathematics from Rensselaer Polytechnic Institute. Dr. Brent is the author of many publications, including three Just-In-Time mathematics texts. His main advice to his calculus students is: “Work on your homework as if your life in this course depends upon it. Because it does!”

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