9780072332339

Algebra for College Students with Student CD-ROM Windows mandatory package

by
  • ISBN13:

    9780072332339

  • ISBN10:

    0072332336

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1999-12-01
  • Publisher: MCG (Manual)
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Summary

Algebra for College Students is designed to provide 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 second edition of Algebra for College Students has been to retain the features that made the first edition so successful, while incorporating the comments and suggestions of first-edition users. Many new features have been provided that will help instructors reach the goals that they have set for their students. As always, the author endeavors to write texts that your students can read, understand, and enjoy, while gaining confidence in their ability to use mathematics. While the essence of the text remains, the topics have been rearranged and new features added to reflect the current needs of instructors and students.

Table of Contents

Chapter 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

Chapter 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

Chapter 3 Graphs and Functions in the Cartesian Coordinate System

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 Relations and Functions

3.6 Graphs of Functions

Chapter 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 Cramer's Rule for Systems in Two Variables

4.6 Cramer's Rule for Systems in Three Variables

4.7 Linear Programming

Chapter 5 Exponents and Polynomials

5.1 Integral Exponents and Scientific Notation

5.2 The Power Rules

5.3 Addition, Subtraction, and Multiplication of Polynomials

5.4 Multiplying Binomials

5.5 Division of Polynomials

5.6 Factoring Polynomials

5.7 Factoring ax2 + bx + c

5.8 Factoring Strategy

5.9 Solving Equations by Factoring

Chapter 6 Rational Expressions

6.1 Properties of Rational Expressions

6.2 Multiplication and Division

6.3 Addition and Subtraction

6.4 Complex Fractions

6.5 Solving Equations Involving Rational Expressions

6.6 Applications

Chapter 7 Rational Exponents and Radicals

7.1 Rational Exponents

7.2 Radicals

7.3 Operations with Radicals

7.4 More Operations with Radicals

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

Chapter 8 Quadratic Equations and Inequalities

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 More on Quadratic Equations

8.4 Quadratic and Rational Inequalities

Chapter 9 Additional Function Topics

9.1 Combining Functions

9.2 Inverse Functions

9.3 Variation

9.4 The Factor Theorem

Chapter 10 Polynomial and Rational Functions

10.1 Zeros of a Polynomial Function

10.2 The Theory of Equations

10.3 Graphs of Polynomial Functions

10.4 Graphs of Rational Functions

10.5 Transformations of Graphs

Chapter 11 Exponential and Logarithmic Functions

11.1 Exponential Functions

11.2 Logarithmic Functions

11.3 Properties of Logarithms

11.4 Solving Equations

Chapter 12 Nonlinear Systems and the Conic Sections

12.1 Nonlinear Systems of Equations

12.2 The Parabola

12.3 The Circle

12.4 The Ellipse and Hyperbola

12.5 Second-Degree Inequalities

Chapter 13 Sequences and Series

13.1 Sequences

13.2 Series

13.3 Arithmetic Sequences and Series

13.4 Geometric Sequences and Series

13.5 Binomial Expansions

Chapter 14 Counting and Probability

14.1 Counting and Permutations

14.2 Combinations

14.3 Probability

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