College Algebra Concepts Through Functions plus MyMathLab with Pearson eText -- Access Card Package

by Sullivan, Michael, III; Sullivan, Michael

• ISBN13: 9780321704337
• ISBN10: 0321704339
• Edition: 2nd
• Format: Package
• Copyright: 2010-06-15
• Publisher: Pearson

Summary

This package consists of the textbook plus an access kit for MyMathLab/MyStatLab. College Algebra: Concepts through Functions, Second Editionembodies Sullivan/Sullivanrs"s hallmarksaccuracy, precision, depth, strong student support, and abundant exerciseswhile exposing readers to functions in the first chapter. To ensure that students master basic skills and develop the conceptual understanding they need for the course, this text focuses on the fundamentals:preparingfor class,practicingtheir homework, andreviewingthe concepts. After using this book, students will have a solid understanding of algebra and functions so that they are prepared for subsequent courses, such as finite mathematics, business mathematics, and engineering calculus. MyMathLabprovides a wide range of homework, tutorial, and assessment tools that make it easy to manage your course online.

Table of Contents

Foundations: A Prelude to Functions

F.1 The Distance and Midpoint Formulas

F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

F.3 Lines

F.4 Circles

 

1. Functions and Their Graphs

1.1 Functions

1.2 The Graph of a Function

1.3 Properties of Functions

1.4 Library of Functions; Piecewise-defined Functions

1.5 Graphing Techniques: Transformations

1.6 Mathematical Models: Constructing Functions

1.7 Building Mathematical Models Using Variation

            Chapter Review

            Chapter Test

            Chapter Projects

 

2. Linear and Quadratic Functions

2.1 Properties of Linear Functions and Linear Models

2.2 Building Linear Models from Data

2.3 Quadratic Functions and Their Zeros

2.4 Properties of Quadratic Functions

2.5 Inequalities Involving Quadratic Functions

2.6 Building Quadratic Models from Verbal Descriptions and from Data

2.7 Complex Zeros of a Quadratic Function

2.8 Equations and Inequalities Involving the Absolute Value Function

            Chapter Review

            Chapter Test

            Chapter Projects

            Cumulative Review

 

3. Polynomial and Rational Functions

3.1 Polynomial Functions and Models

3.2 Properties of Rational Functions

3.3 The Graph of a Rational Function

3.4 Polynomial and Rational Inequalities

3.5 The Real Zeros of a Polynomial Function

3.6 Complex Zeros; Fundamental Theorem of Algebra

            Chapter Review

            Chapter Test

            Chapter Projects

            Cumulative Review

 

4. Exponential and Logarithmic Functions

4.1 Composite Functions

4.2 One-to-One Functions; Inverse Functions

4.3 Exponential Functions

4.4 Logarithmic Functions

4.5 Properties of Logarithms

4.6 Logarithmic and Exponential Equations

4.7 Compound Interest

4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay

4.9 Building Exponential, Logarithmic, and Logistic Functions from Data

            Chapter Review

            Chapter Test

            Chapter Projects

            Cumulative Review

 

5. Conics

5.1 Conics

5.2 The Parabola

5.3 The Ellipse

5.4 The Hyperbola

            Chapter Review

            Chapter Test

            Chapter Projects

            Cumulative Review

 

6. Systems of Equations and Inequalities

6.1 Systems of Linear Equations: Substitution and Elimination

6.2 Systems of Linear Equations: Matrices

6.3 Systems of Linear Equations: Determinants

6.4 Matrix Algebra

6.5 Partial Fraction Decomposition

6.6 Systems of Nonlinear Equations

6.7 Systems of Inequalities

6.8 Linear Programming

            Chapter Review

            Chapter Test

            Chapter Projects

            Cumulative Review

 

7. Sequences; Induction; the Binomial Theorem

7.1 Sequences

7.2 Arithmetic Sequences

7.3 Geometric Sequences; Geometric Series

7.4 Mathematical Induction

7.5 The Binomial Theorem

            Chapter Review

            Chapter Test

            Chapter Projects

            Cumulative Review

 

8. Counting and Probability

8.1 Counting

8.2 Permutations and Combinations

8.3 Probability

            Chapter Review

            Chapter Test

            Chapter Projects

            Cumulative Review

 

Appendix A. Review

A.1 Algebra Essentials

A.2 Geometry Essentials

A.3 Polynomials

A.4 Factoring Polynomials

A.5 Synthetic Division

A.6 Rational Expressions

A.7 nth Roots; Rational Exponents

A.8 Solving Equations

A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs

A.10 Interval Notation; Solving Inequalities

A.11 Complex Numbers

 

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

Answers

Index