## Description

These authors understand what it takes to be successful in mathematics, the skills that students bring to this course, and the way that technology can be used to enhance learning without sacrificing math skills. As a result, they have created a textbook with an overall learning system involving preparation, practice, and review to help students get the most out of the time they put into studying. In sum, Sullivan and Sullivan's *Algebra and Trigonometry: Enhanced with Graphing Utilities *gives students a model for success in mathematics.

**CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book.**

## Table of Contents

**Chapter 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 *n*th Roots; Rational Exponents

**Chapter 1 Equations and Inequalities**

1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations

1.3 Quadratic Equations

1.4 Complex Numbers; Quadratic Equations in the Complex Number System

1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations

1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs

1.7 Solving Inequalities

**Chapter 2 Graphs**

2.1 Symmetry; Graphing Key Equations

2.2 Lines

2.3 Circles

2.4 Variation

**Chapter 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 4 Linear and Quadratic Functions**

4.1 Linear Functions, Their Properties, and Linear Models

4.2 Building Linear Models from Data; Direct Variation

4.3 Quadratic Functions and Their Properties

4.4 Building Quadratic Models from Verbal Descriptions and Data

4.5 Inequalities Involving Quadratic Functions

**Chapter 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; Inverse and Joint Variation

5.4 Polynomial and Rational Inequalities

5.5 The Real Zeros of a Polynomial Function

5.6 Complex Zeros; Fundamental Theorem of Algebra

**Chapter 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 Models from Data

**Chapter 7 Trigonometric Functions**

7.1 Angles and Their Measure

7.2 Right Triangle Trigonometry

7.3 Evaluating Trigonometric Functions of Acute Angles

7.4 Evaluating Trigonometric Functions of General 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; Building Sinusoidal Models

**Chapter 8 Analytic Trigonometry**

8.1 The Inverse Sine, Cosine, and Tangent Functions

8.2 The Inverse Trigonometric Functions (Continued)

8.3 Trigonometric Identities

8.4 Sum and Difference Formulas

8.5 Double-angle and Half-angle Formulas

8.6 Product-to-Sum and Sum-to-Product Formulas

8.7 Trigonometric Equations (I)

8.8 Trigonometric Equations (II)

**Chapter 9 Applications of Trigonometric Functions**

9.1 Applications Involving Right Triangles

9.2 The Law of Sines

9.3 The Law of Cosines

9.4 Area of a Triangle

9.5 Simple Harmonic Motion; Damped Motion; Combining Waves

**Chapter 10 Polar Coordinates; Vectors**

10.1 Polar Coordinates

10.2 Polar Equations and Graphs

10.3 The Complex Plane; De Moivre’s Theorem

10.4 Vectors

10.5 The Dot Product

**Chapter 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 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 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 14 Counting and Probability**

14.1 Counting

14.2 Permutations and Combinations

14.3 Probability

## Purchase Info ?

With CourseSmart eTextbooks and eResources, you save up to 60% off the price of new print textbooks, and can switch between studying online or offline to suit your needs.

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Algebra and Trigonometry Enhanced with Graphing Utilities, CourseSmart eTextbook, 5th Edition

Format: Safari Book

$89.99 | ISBN-13: 978-0-13-502468-3