Just-in-Time Algebra and Trigonometry for Calculus (4^th Ed.)

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?

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

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.

• 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.