Intermediate Algebra With Applications

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  • Edition: 7th
  • Format: Hardcover
  • Copyright: 2007-01-10
  • Publisher: Brooks Cole
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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
Table of Contents provided by Publisher. All Rights Reserved.

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