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Algebra for College Students

Algebra for College Students - 4th edition

Algebra for College Students - 4th edition

ISBN13: 9780073019291

ISBN10: 0073019291

Algebra for College Students by Mark Dugopolski - ISBN 9780073019291
Edition: 4TH 06
Copyright: 2006
Publisher: McGraw-Hill Publishing Company
International: No
Algebra for College Students by Mark Dugopolski - ISBN 9780073019291

ISBN13: 9780073019291

ISBN10: 0073019291

Edition: 4TH 06

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Algebra for College Students, 4th Edition, 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. This text contains 2 chapters, Polynomial & Rational Functions, and Counting & Probability, in addition to those found in Dugopolski's Intermediate Algebra.

New Features

  • NEW: Critical Thinking Exercises for individual or group work now conclude every chapter. These are fun, thought-provoking problems that encourage students to think creatively to solve problems and go beyond the traditional skill-building exercises that most students are used to.
  • NEW: Teaching Tips, found in the margins of the AIE, will be especially helpful to instructors who are new to teaching from this book.
  • NEW: Every example now refers students to specific exercises so they may immediately apply what they have studied in the example.
  • Revised: Each chapter contains a new Math at Work feature, which demonstrates how math is used in real ways in various professions of the working world.

Table of Contents

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 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

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 Determinants and Cramer's Rule
4.6 Linear Programming

Chapter 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 ax^2 + bx + c
5.7 Factoring Strategy
5.8 Solving Equations by Factoring

Chapter 6 Rational Expressions and Functions

6.1 Properties of Rational Expressions and Functions
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

Chapter 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

Chapter 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

Chapter 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

Chapter 10 Polynomial and Rational Functions

10.1 The Factor Theorem
10.2 Zeros of a Polynomial Function
10.3 The Theory of Equations
10.4 Graphs of Polynomial Functions
10.5 Graphs of Rational Functions

Chapter 11 Exponential and Logarithmic Functions

11.1 Exponential Functions and Their Applications
11.2 Logarithmic Functions and Their Applications
11.3 Properties of Logarithms
11.4 Solving Equations and Applications

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

Appendix A Geometry Review Exercises
Appendix B Sets
Appendix C Final Exam Review