Cover

Index of Applications

Title Page

Copyright

Contents

Preface

Chapter 0 A Review of Basic Algebra

0.1 Sets of Real Numbers

0.2 Integer Exponents and Scientific Notation

0.3 Rational Exponents and Radicals

0.4 Polynomials

0.5 Factoring Polynomials

0.6 Rational Expressions

Chapter Review

Chapter Test

Chapter 1 Equations and Inequalities

1.1 Equations

1.2 Applications of Linear Equations

1.3 Quadratic Equations

1.4 Applications of Quadratic Equations

1.5 Complex Numbers

1.6 Polynomial and Radical Equations

1.7 Inequalities

1.8 Absolute Value

Chapter Review

Chapter Test

Cumulative Review Exercises

Chapter 2 The Rectangular Coordinate System and Graphs of Equations

2.1 The Rectangular Coordinate System

2.2 The Slope of a Nonvertical Line

2.3 Writing Equations of Lines

2.4 Graphs of Equations

2.5 Proportion and Variation

Chapter Review

Chapter Test

Chapter 3 Functions

3.1 Functions and Function Notation

3.2 Quadratic Functions

3.3 Polynomial and Other Functions

3.4 Translating and Stretching Graphs

3.5 Rational Functions

3.6 Operations on Functions

3.7 Inverse Functions

Chapter Review

Chapter Test

Cumulative Review Exercises

Chapter 4 Exponential and Logarithmic Functions

4.1 Exponential Functions and Their Graphs

4.2 Applications of Exponential Functions

4.3 Logarithmic Functions and Their Graphs

4.4 Applications of Logarithmic Functions

4.5 Properties of Logarithms

4.6 Exponential and Logarithmic Equations

Chapter Review

Chapter Test

Chapter 5 Solving Polynomial Equations

5.1 The Remainder and Factor Theorems;Synthetic Division

5.2 Descartes'Rule of Signs and Bounds on Roots

5.3 Roots of Polynomial Equations

5.4 Approximating Irrational Roots of Polynomial Equations

Chapter Review

Chapter Test

Cumulative Review Exercises

Chapter 6 Linear Systems

6.1 Systems of Linear Equations

6.2 Gaussian Elimination and Matrix Methods

6.3 Matrix Algebra

6.4 Matrix Inversion

6.5 Determinants

6.6 Partial Fractions

6.7 Graphs of Linear Inequalities

6.8 Linear Programming

Chapter Review

Chapter Test

Chapter 7 Conic Sections and Quadratic Systems

7.1 The Circle and the Parabola

7.2 The Ellipse

7.3 The Hyperbola

7.4 Solve Problems Using Nonlinear Systems of Equations

Chapter Review

Chapter Test

Cumulative Review Exercises

Chapter 8 Natural-Number Functions and Probability

8.1 The Binomial Theorem

8.2 Sequences,Series,and Summation Notation

8.3 Arithmetic Sequences

8.4 Geometric Sequences

8.5 Mathematical Induction

8.6 Permutations and Combinations

8.7 Probability

Chapter Review

Chapter Test

Chapter 9 The Mathematics of Finance

9.1 Interest

9.2 Annuities and Future Value

9.3 Present Value of an Annuity;Amortization

Chapter Review

Chapter Test

Cumulative Review Exercises

Appendix Ⅰ A Proof of the Binomial Theorem

Appendix Ⅱ Tables

Table A Powers and Roots

Table B Base-10 Logarithms

Table C Base-e Logarithms

Appendix Ⅲ Answers to Selected Exercises(in Student Edition only)

Index

Index of Applications