## Overview

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**Prepare. Practice. Review.**

**Mike 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 **Tenth Edition **has evolved to meet today’s course needs.

0133935582 / 9780133935585 Algebra and Trigonometry Plus MyMathLab -- Access Card Package

Package consists of:

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321998596 / 9780321998590 Algebra and Trigonometry

## Table of contents

Preface to the Instructor

List of Applications

Photo Credits

To the Student

**R. Review**

R.1 Real Numbers

R.2 Algebra Essentials

R.3 Geometry Essentials

R.4 Polynomials

R.5 Factoring Polynomials

R.6 Synthetic Division

R.7 Rational Expressions

R.8 nth Roots; Rational Exponents

**1. Equations and Inequalities**

1.1 Linear Equations

1.2 Quadratic Equations

1.3 Complex Numbers; Quadratic Equations in the Complex Number System

1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations

1.5 Solving Inequalities

1.6 Equations and Inequalities Involving Absolute Value

1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs Applications

Chapter Review

Chapter Test

Chapter Projects

**2. Graphs**

2.1 The Distance and Midpoint Formulas

2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

2.3 Lines

2.4 Circles

2.5 Variation

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**3. Functions and Their Graphs**

3.1 Functions

3.2 The Graph of a Function

3.3 Properties of Functions

3.4 Library of Functions; Piecewise-defined Functions

3.5 Graphing Techniques: Transformations

3.6 Mathematical Models: Building Functions

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**4. Linear and Quadratic Functions**

4.1 Properties of Linear Functions and Linear Models

4.2 Building Linear Models from Data

4.3 Quadratic Functions and Their Properties

4.4 Build Quadratic Models from Verbal Description and From Data

4.5 Inequalities Involving Quadratic Functions

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**5. Polynomial and Rational Functions**

5.1 Polynomial Functions and Models

5.2 Properties of Rational Functions

5.3 The Graph of a Rational Function

5.4 Polynomial and Rational Inequalities

5.5 The Real Zeros of a Polynomial Function

5.6 Complex Zeros; Fundamental Theorem of Algebra

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**6. Exponential and Logarithmic Functions**

6.1 Composite Functions

6.2 One-to-One Functions; Inverse Functions

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

6.6 Logarithmic and Exponential Equations

6.7 Financial Models

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

6.9 Building Exponential, Logarithmic, and Logistic Functions from Data

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**7. Trigonometric Functions**

7.1 Angles and Their Measure

7.2 Right Triangle Trigonometry

7.3 Computing the Values of Trigonometric Functions of Acute Angles

7.4 Trigonometric Functions of Any Angle

7.5 Unit Circle Approach: Properties of the Trigonometric Functions

7.6 Graphs of the Sine and Cosine Functions

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

7.8 Phase Shift; Sinusoidal Curve Fitting

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**8. Analytic Trigonometry**

8.1 The Inverse Sine, Cosine, and Tangent Functions

8.2 The Inverse Trigonometric Functions (continued)

8.3 Trigonometric Equations

8.4 Trigonometric Identities

8.5 Sum and Difference Formulas

8.6 Double-angle and Half-angle Formulas

8.7 Product-to-Sum and Sum-to-Product Formulas

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**9. Applications of Trigonometric Functions**

9.1 Applications Involving Right Triangles

9.2 Law of Sines

9.3 Law of Cosines

9.4 Area of a Triangle

9.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**10. Polar Coordinates; Vectors**

10.1 Polar Coordinates

10.2 Polar Equations and Graphs

10.3 The Complex Plane; DeMoivre’s Theorem

10.4 Vectors

10.5 The Dot Product

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**11. Analytic Geometry**

11.1 Conics

11.2 The Parabola

11.3 The Ellipse

11.4 The Hyperbola

11.5 Rotation of Axes; General Form of a Conic

11.6 Polar Equations of Conics

11.7 Plane Curves and Parametric Equations

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**12. Systems of Equations and Inequalities**

12.1 Systems of Linear Equations: Substitution and Elimination

12.2 Systems of Linear Equations: Matrices

12.3 Systems of Linear Equations: Determinants

12.4 Matrix Algebra

12.5 Partial Fraction Decomposition

12.6 Systems of Nonlinear Equations

12.7 Systems of Inequalities

12.8 Linear Programming

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

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

13.1 Sequences

13.2 Arithmetic Sequences

13.3 Geometric Sequences; Geometric Series

13.4 Mathematical Induction

13.5 The Binomial Theorem

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**14. Counting and Probability**

14.1 Counting

14.2 Permutations and Combinations

14.3 Probability

Chapter Review

Chapter Test

Cumulative Review

Chapter Projects

**Appendix: Graphing Utilities**

1. The Viewing Rectangle

2. Using a Graphing Utility to Graph Equations

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

4. Using a Graphing Utility to Solve Equations

5. Square Screens

6. Using a Graphing Utility to Graph Inequalities

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

8. Using a Graphing Utility to Graph a Polar Equation

9. Using a Graphing Utility to Graph Parametric Equations

Answers

Index

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