MP: Intermediate Algebra w/ OLC Bind-In Card

by DUGOPOLSKI M

• ISBN13: 9780072443936
• ISBN10: 0072443936
• Edition: 4th
• Format: Hardcover
• Copyright: 2003-02-18
• Publisher: MCG

Summary

Intermediate Algebra is designed to provide your students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. The primary goal in writing the fourth edition of Intermediate Algebra has been to retain the features that made the third edition so successful, while incorporating the comments and suggestions of third-edition users. As always, the author endeavors to write texts that students can read, understand, and enjoy, while gaining confidence in their ability to use mathematics.

Table of Contents

1 The Real Numbers

1.1 Sets

1.2 The Real Numbers

1.3 Operations on the Set of Real Numbers

1.4 Evaluating Expressions

1.5 Properties of the Real Numbers

1.6 Using the Properties

2 Linear Equations and Inequalities in One Variable

2.1 Linear Equations in One Variable

2.2 Formulas

2.3 Applications

2.4 Inequalities

2.5 Compound Inequalities

2.6 Absolute Value Equations and Inequalities

3 Linear Equations and Inequalities in Two Variables

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope of a Line

3.3 Three Forms for the Equation of a Line

3.4 Linear Inequalities and Their Graphs

3.5 Functions and Relations

4 Systems of Linear Equations

4.1 Solving Systems by Graphing and Substitution

4.2 The Addition Method

4.3 Systems of Linear Equations in Three Variables

4.4 Solving Linear Systems Using Matrices

4.5 Determinants and Cramer's Rule

4.6 Linear Programming

5 Exponents and Polynomials

5.1 Integral Exponents and Scientific Notation

5.2 The Power Rules

5.3 Polynomials and Polynomial Functions

5.4 Multiplying Binomials

5.5 Factoring Polynomials

5.6 Factoring ax2 + bx + c

5.7 Factoring Strategy

5.8 Solving Equations by Factoring

6 Rational Expressions and Functions

6.1 Properties of Rational Expressions

6.2 Multiplication and Division

6.3 Addition and Subtraction

6.4 Complex Fractions

6.5 Division of Polynomials

6.6 Solving Equations Involving Rational Expressions

6.7 Applications

7 Radicals and Rational Exponents

7.1 Radicals

7.2 Rational Exponents

7.3 Operations with Radicals

7.4 Quotients, Powers, and Rationalizing Denominators

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

8 Quadratic Equations, Functions, and Inequalities

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 Quadratic Functions and Their Graphs

8.4 More on Quadratic Equations

8.5 Quadratic and Rational Inequalities

9 Additional Function Topics

9.1 Graphs of Functions and Relations

9.2 Transformations of Graphs

9.3 Combining Functions

9.4 Inverse Functions

9.5 Variation

10 Exponential and Logarithmic Functions

10.1 Exponential Functions and Their Applications

10.2 Logarithmic Functions and Their Applications

10.3 Properties of Logarithms

10.4 Solving Equations and Applications

11 Nonlinear Systems and the Conic Sections

11.1 Nonlinear Systems of Equations

11.2 The Parabola

11.3 The Circle

11.4 The Ellipse and Hyperbola

11.5 Second-Degree Inequalities

12 Sequences and Series

12.1 Sequences

12.2 Series

12.3 Arithmetic Sequences and Series

12.4 Geometric Sequences and Series

12.5 Binomial Expansions

Appendixes

A Geometry Review

B Table of Squares and Square Roots

C Common Logarithms