# Precalculus Essentials, 1st edition

Published by Pearson (January 25th 2013) - Copyright © 2014

1st edition

ISBN-13: 9780321900487

- MyLab
- Hardcover

### What's included

## Overview

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**Ratti** and **McWaters** wrote this series with the primary goal of preparing students to be successful in calculus. Having taught both calculus and precalculus, the authors saw firsthand where students would struggle, where they needed help making connections, and what material they needed in order to succeed in calculus. Their experience in the classroom shows in each chapter, where they emphasize conceptual development, real-life applications, and extensive exercises to encourage a deeper understanding.

With a new addition to the series,

**Precalculus Essentials**, this text offers the best of both worlds: fast-paced, rigorous topics and a friendly, “teacherly” tone. This text is developed with a focus on key topics for calculus preparation.

**0321900480 / 9780321900487 Precalculus Essentials plus MyMathLab with Pearson eText -- Access Card Package **

**Package consists of: **

**0321431308 / 9780321431301 MyMathLab/MyStatLab -- Glue-in Access Card **

**0321654064 / 9780321654069 MyMathLab Inside Star Sticker **

**032181696X / 9780321816962 Precalculus Essentials**

** **

## Table of contents

**P. Basic Concepts of Algebra**

P.1 The Real Numbers; Integer Exponents

P.2 Radicals and Rational Exponents

P.3 Solving Equations

P.4 Inequalities

P.5 Complex Numbers

**1. Graphs and Functions**

1.1 Graphs of Equations

1.2 Lines

1.3 Functions

1.4 A Library of Functions

1.5 Transformations of Functions

1.6 Combining Functions; Composite Functions

1.7 Inverse Functions

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Exercises for Calculus

Chapter 1 Practice Test A

Chapter 1 Practice Test B

**2. Polynomial and Rational Functions**

2.1 Quadratic Functions

2.2 Polynomial Functions

2.3 Dividing Polynomials and the Rational Zeros Test

2.4 Zeros of a Polynomial Function

2.5 Rational Functions

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Exercises for Calculus

Chapter 2 Practice Test A

Chapter 2 Practice Test B

**3. Exponential and Logarithmic Functions**

3.1 Exponential Functions

3.2 Logarithmic Functions

3.3 Rules of Logarithms

3.4 Exponential and Logarithmic Equations and Inequalities

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Exercises for Calculus

Chapter 3 Practice Test A

Chapter 3 Practice Test B

**4. Trigonometric Functions**

4.1 Angles and Their Measure

4.2 The Unit Circle; Trigonometric Functions

4.3 Graphs of the Sine and Cosine Functions

4.4 Graphs of the Other Trigonometric Functions

4.5 Inverse Trigonometric Functions

4.6 Right-Triangle Trigonometry

4.7 Trigonometric Identities

4.8 Sum and Difference Formulas

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Exercises for Calculus

Chapter 4 Practice Test A

Chapter 4 Practice Test B

**5. Applications of Trigonometric Functions**

5.1 The Law of Sines and the Law of Cosines

5.2 Areas of Polygons Using Trigonometry

5.3 Polar Coordinates

5.4 Parametric Equations

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Exercises for Calculus

Chapter 5 Practice Test A

Chapter 5 Practice Test B

**6. Further Topics in Algebra**

6.1 Sequences and Series

6.2 Arithmetic Sequences; Partial Sums

6.3 Geometric Sequences and Series

6.4 Systems of Equations in Two Variables

6.5 Partial-Fraction Decomposition

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Exercises for Calculus

Chapter 6 Practice Test A

Chapter 6 Practice Test B

Appendix: Answers to Practice Problems

## For teachers

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