## Overview

**NOTE: **Before purchasing, check with your instructor to ensure you **select the correct ISBN. **Several versions of the MyLab™ and Mastering™ platforms exist for each title, and registrations are not transferable. To register for and use MyLab or Mastering, you may also need aCourse ID**, **which your instructor will provide.

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*For courses in Precalculus.*

*This package includes MyLab Math.*

**Prepare. Practice. Review.**

Michael Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: *preparing *for class, *practicing* with homework, and *reviewing* the concepts. The **11th Edition **continues to evolve to meet the needs of today’s students.

This series prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of **continuous preparation and retention **– along with the high-quality exercises that Sullivan texts are known for – gives students the reinforcement they need.

**Personalize learning with MyLab Math **

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.

**0135240794 / 9780135240793 Precalculus Plus MyLab Math with eText - Access Card Package**

**Package consists of:**

**0135189403 / 9780135189405 Precalculus****0135189799 / 9780135189795 MyLab Math with Pearson eText - Standalone Access Card - for Precalculus**

## Table of contents

**1. Graphs**

1.1 The Distance and Midpoint FormulasChapter 1 Review, Test, and Projects

1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

1.3 Lines

1.4 Circles

**2. Functions and Their Graphs**

2.1 FunctionsChapter 2 Review, Test, and Projects

2.2 The Graph of a Function

2.3 Properties of Functions

2.4 Library of Functions; Piecewise-defined Functions

2.5 Graphing Techniques: Transformations

2.6 Mathematical Models: Building Functions

**3. Linear and Quadratic Functions**

3.1 Properties of Linear Functions and Linear ModelsChapter 3 Review, Test, and Projects

3.2 Building Linear Models from Data

3.3 Quadratic Functions and Their Properties

3.4 Build Quadratic Models from Verbal Descriptions and from Data

3.5 Inequalities Involving Quadratic Functions

**4. Polynomial and Rational Functions**

4.1 Polynomial FunctionsChapter 4 Review, Test, and Projects

4.2 Graphing Polynomial Functions; Models

4.3 Properties of Rational Functions

4.4 The Graph of a Rational Function

4.5 Polynomial and Rational Inequalities

4.6 The Real Zeros of a Polynomial Function

**5. Exponential and Logarithmic Functions**

5.1 Composite FunctionsChapter 5 Review, Test, and Projects

5.2 One-to-One Functions; Inverse Functions

5.3 Exponential Functions

5.4 Logarithmic Functions

5.5 Properties of Logarithms

5.6 Logarithmic and Exponential Equations

5.7 Financial Models

5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

5.9 Building Exponential, Logarithmic, and Logistic Models from Data

**6. Trigonometric Functions**

6.1 Angles, Arc, Length, and Circular MotionChapter 6 Review, Test, and Projects

6.2 Trigonometric Functions: Unit Circle Approach

6.3 Properties of the Trigonometric Functions

6.4 Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

6.6 Phase Shift; Sinusoidal Curve Fitting

**7. Analytic Trigonometry**

7.1 The Inverse Sine, Cosine, and Tangent FunctionsChapter 7 Review, Test, and Projects

7.2 The Inverse Trigonometric Functions (Continued)

7.3 Trigonometric Equations

7.4 Trigonometric Identities

7.5 Sum and Difference Formulas

7.6 Double-angle and Half-angle Formulas

7.7 Product-to-Sum and Sum-to-Product Formulas

**8. Applications of Trigonometric Functions**

8.1 Right Triangle Trigonometry; ApplicationsChapter 8 Review, Test, and Projects

8.2 The Law of Sines

8.3 The Law of Cosines

8.4 Area of a Triangle

8.5 Simple Harmonic Motion; Damped Motion; Combining Waves

**9. Polar Coordinates; Vectors**

9.1 Polar Coordinates

9.2 Polar Equations and Graphs

9.3 The Complex Plane; De Moivre’s Theorem

9.4 Vectors

9.5 The Dot Product

9.6 Vectors in Space

9.7 The Cross Product

Chapter 9 Review, Test, and Projects

**10. Analytic Geometry**

10.1 ConicsChapter 10 Review, Test, and Projects

10.2 The Parabola

10.3 The Ellipse

10.4 The Hyperbola

10.5 Rotation of Axes; General Form of a Conic

10.6 Polar Equations of Conics

10.7 Plane Curves and Parametric Equations

**11. Systems of Equations and Inequalities**

11.1 Systems of Linear Equations: Substitution and EliminationChapter 11 Review, Test, and Projects

11.2 Systems of Linear Equations: Matrices

11.3 Systems of Linear Equations: Determinants

11.4 Matrix Algebra

11.5 Partial Fraction Decomposition

11.6 Systems of Nonlinear Equations

11.7 Systems of Inequalities

11.8 Linear Programming

**12. Sequences; Induction; the Binomial Theorem**

12.1 SequencesChapter 12 Review, Test, and Projects

12.2 Arithmetic Sequences

12.3 Geometric Sequences; Geometric Series

12.4 Mathematical Induction

12.5 The Binomial Theorem

**13. Counting and Probability**

13.1 CountingChapter 13 Review, Test, and Projects

13.2 Permutations and Combinations

13.3 Probability

**14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function**

14.1 Finding Limits Using Tables and GraphsChapter 14 Review, Test, and Projects

14.2 Algebra Techniques for Finding Limits

14.3 One-sided Limits; Continuous Functions

14.4 The Tangent Problem; The Derivative

14.5 The Area Problem; The Integral

**Appendix A: Review**

A.1 Algebra Essentials

A.2 Geometry Essentials

A.3 Polynomials

A.4 Synthetic Division

A.5 Rational Expressions

A.6 Solving Equations

A.7 Complex Numbers; Quadratic Equations in the Complex Number System

A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications

A.9 Interval Notation; Solving Inequalities

A.10

*n*th Roots; Rational Exponents

**Appendix B: Graphing Utilities**

B.1 The Viewing Rectangle

B.2 Using a Graphing Utility to Graph Equations

B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry

B.4 Using a Graphing Utility to Solve Equations

B.5 Square Screens

B.6 Using a Graphing Utility to Graph Inequalities

B.7 Using a Graphing Utility to Solve Systems of Linear Equations

B.8 Using a Graphing Utility to Graph a Polar Equation

B.9 Using a Graphing Utility to Graph Parametric

Equations

Credits

Index

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