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

By Michael Sullivan, Michael Sullivan, III

Published by Pearson

Published Date: Jan 22, 2008

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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 nth 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


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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