Just-in-Time Algebra and Trigonometry for Calculus / Edition 4

Just-in-Time Algebra and Trigonometry for Calculus / Edition 4

by Guntram Mueller, Ronald I. Brent
     
 

Are you ready to ace calculus at the college level? With this book, you will be! Professors often say “Students don’t fail the calculus, they fail the algebra.” In other words, even if you understand calculus, your algebra and trigonometry skills can hold you back. Here’s a quick quiz—do you remember how to:

  • Factor

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Overview

Are you ready to ace calculus at the college level? With this book, you will be! Professors often say “Students don’t fail the calculus, they fail the algebra.” In other words, even if you understand calculus, your algebra and trigonometry skills can hold you back. Here’s a quick quiz—do you remember how to:

  • Factor trinomials?
  • Solve equations containing exponents and logs?
  • Work with inverse trig functions?

If not, that’s where this book comes in handy! Just-in-Time is designed to bolster the algebra and trigonometry skills you’ll need while you study calculus. As you make your way through the course, Just-in-Time is with you every step of the way, showing you the exact algebra or trigonometry topics that you’ll need and pointing out potential problem spots. The easy-to-use Table of Contents features the calculus subject listed directly across from the algebra/trigonometry skills needed to master that topic. Use this book as your study companion and put your anxiety to rest!

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Product Details

ISBN-13:
9780321671042
Publisher:
Pearson
Publication date:
07/31/2012
Edition description:
New Edition
Pages:
216
Sales rank:
300,927
Product dimensions:
8.40(w) x 10.60(h) x 0.60(d)

Related Subjects

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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