Just-in-Time Algebra and Trigonometry for Calculus, 4th edition
Published by Pearson (July 17, 2012) © 2013
- Guntram Mueller
- Ronald Brent
- Hardcover, paperback or looseleaf edition
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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.
- Topics are ordered to correspond to a typical calculus course, for instance, the topic “composition and decomposition of functions” is listed as a prerequisite for the Chain Rule.
- Extensive exercise sets, especially in the sections on word problems, exponentials, and logarithms, give more opportunities for both students and instructors to tailor exercises to their specific needs.
- Precisely written text makes the concepts clear and gives students what they need to succeed in calculus.
- Odd-numbered exercises have answers in the back of the book. Answers to the even-numbered exercises are available to professors on Pearson’s Instructor Resource Center.
- Chapter 5 now includes a new section on Graphs of Trigonometric Functions, along with exercises to go with this topic.
- Additional exercises in chapters 10 and 11 give students more of the practice they need to master the concepts.
- A Getting Ready for Calculus chapter is available online for students using a MyMathLab with a Pearson calculus text.
- Hundreds of additional practice problems correspond to topics covered in Just-In-Time Algebra and Trigonometry for Calculus.
- Use this online chapter to diagnose gaps in prerequisite skills and provide students with a review at the beginning of the course or remediation throughout the semester.
- MyMathLab is available to qualified adopters. Learn more at www.mymathlab.com or contact your Pearson representative.
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
IndexGuntram 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!”Need help? Get in touch