Intermediate Algebra With Applications

by Aufmann, Richard N.; Barker, Vernon C.; Lockwood, Joanne

• ISBN13: 9780618803682
• ISBN10: 0618803688
• Edition: 7th
• Format: Hardcover
• Copyright: 2007-01-10
• Publisher: Brooks Cole

Summary

Intended for developmental math courses in intermediate algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success. New!Interactive Exercisesappear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles. New!Think About ItExercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts. New!Important Pointshave been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently. New!Coverage of evaluating functions, graphing functions, and the vertical line test have been added to Section 3.2. New!An explanation that the x-coordinate of an x-intercept is a zero of a function can now be found in Section 3.3. New!Improved Introductions to exponential and logarithmic functions in Chapter 10 will lead to greater student understanding of and interest in these topics. New Media!Two key components have been added to the technology package: HM Testing (powered by Diploma) and, as part of the Eduspace course management tool, HM Assess, an online diagnostic assessment tool.

Table of Contents

Review of Real Numbers

Introduction to Real Numbers

Operations on Rational Numbers

Variable Expressions

Verbal Expressions and Variable Expressions

First-Degree Equations and Inequalities

Equations in One Variable

Coin, Stamp, and Integer Problems

Value Mixture and Motion Problems

Applications: Problems Involving Percent

Inequalities in One Variable

Absolute Value Equations and Inequalities

Linear Functions and Inequalities in Two Variables

The Rectangular Coordinate System

Introduction to Functions

Linear Functions

Slope of a Straight Line

Finding Equations of Lines

Parallel and Perpendicular Lines

Inequalities in Two Variables

Systems of Equations and Inequalities

Solving Systems of Linear Equations by Graphing and by the Substitution Method

Solving Systems of Linear Equations by the Addition Method

Solving Systems of Equations by Using Determinants and by Using Matrices

Application Problems

Solving Systems of Linear Inequalities

Polynomials and Exponents

Exponential Expressions

Introduction to Polynomials

Multiplication of Polynomials

Division of Polynomials

Factoring Polynomials

Special Factoring

Solving Equations by Factoring

Rational Expressions

Introduction to Rational Functions

Operations on Rational Expressions

Complex Fractions

Rational Equations

Proportions and Variation

Literal Equations

Rational Exponents and Radicals

Rational Exponents and Radical Expressions

Operations on Radical Expressions

Radical Functions

Solving Equations Containing Radical Expressions

Complex Numbers

Quadratic Equations and Inequalities

Solving Quadratic Equations by Factoring or by Taking Square Roots

Solving Quadratic Equations by Completing the Square and by Using the Quadratic Formula

Equations That Are Reducible to Quadratic Equations

Applications of Quadratic Equations

Nonlinear Inequalities

Properties of Quadratic Functions

Applications of Quadratic Functions

Functions and Relations

Translations of Graphs

Algebra of Functions

One-to-One and Inverse Functions

Exponential and Logarithmic Functions

Exponential Functions

Introduction to Logarithms

Graphs of Logarithmic Functions

Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

Sequences and Series

Introduction to Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Binomial Expansions

Conic Sections

The Parabola

The Circle

The Ellipse and the Hyperbola

Solving Nonlinear Systems of Equations

Quadratic Inequalities and Systems of Inequalities Final

Exam Appendix

Solutions to Chapter Problems

Answers to Selected Exercises

Glossary

Index

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