Algebra for College Students

by Dugopolski, Mark

• ISBN13: 9780077224844
• ISBN10: 0077224841
• Edition: 5th
• Format: Hardcover
• Copyright: 2008-01-14
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

Algebra for College Students, 5eis part of the latest offerings in the successful Dugopolski series in mathematics. The author's goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that "the price of a hamburger plus a Coke is the same as a Coke plus a hamburger". Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.

Table of Contents

To the student preface

The Real Numbers

Sets

The Real Numbers

Operations on the Set of Real Numbers

Evaluating Expressions

Properties of the Real Numbers

Using the Properties

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Critical Thinking

Linear Equations and Inequalities in One Variable

Linear Equations in One Variable

Formulas and Functions

Applications

Inequalities

Compound Inequalities

Absolute Value Equations and Inequalities

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

A review of Chapters 1-2 • Critical Thinking

Linear Equations and Inequalities in Two Variables

Graphing Lines in the Coordinate Plane

Slope of a Line

Three Forms for the Equation of a Line

Linear Inequalities and Their Graphs

Functions and Relations

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-3 • Critical Thinking

Systems of Linear Equations

Solving Systems by Graphing and Substitution

The Addition Method

Systems of Linear Equations in Three Variables

Solving Linear Systems Using Matrices

Determinants and Cramer’s Rule

Linear Programming

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-4 • Critical Thinking

Exponents and Polynomials

Integral Exponents and Scientific Notation

The Power Rules

Polynomials and Polynomial Functions

Multiplying Binomials

Factoring Polynomials

Factoring ax² + bx + c

Factoring Strategy

Solving Equations by Factoring

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-5 • Critical Thinking

Rational Expressions and Functions

Properties of Rational Expressions and Functions

Multiplication and Division

Addition and Subtraction

Complex Fractions

Division of Polynomials

Solving Equations Involving Rational Expressions

Applications

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-6 • Critical Thinking

Radicals and Rational Exponents

Radicals

Rational Exponents

Adding, Subtracting, and Multiplying Radicals

Quotients, Powers, and Rationalizing Denominators

Solving Equations with Radicals and Exponents

Complex Numbers

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test • Making Connections

a review of Chapters 1-7 • Critical Thinking

Quadratic Equations, Functions, and Inequalities

Factoring and Completing the Square

The Quadratic Formula

More on Quadratic Equations

Quadratic Functions and Their Graphs

Quadratic and Rational Inequalities

Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises •

Test &

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