by Richard N. Aufmann, Vernon C. Barker and Joanne S. Lockwood
List price: $234.00
With its complete, interactive, objective-based approach, Intermediate Algebra: An Applied Approach, is a best-seller in this market. The Seventh Edition provides mathematically sound and comprehensive coverage of the topics considered essential in an intermediate algebra course. The text includes chapter-opening Prep Tests, updated applications, and a new design. A robust Instructor's Annotated Edition features a comprehensive selection of instructor support materials. The Aufmann Interactive Method is incorporated throughout the text, ensuring that students interact with and master the concepts as they are presented. This approach is especially important in the context of rapidly growing distance-learning and self-paced laboratory situations.
Note: Each chapter concludes with a Chapter Summary, Review, and Test. Chapters 2-6 are followed by a Cumulative Review.
1. Review of Real Numbers
Section 1.1 Introduction to Real Numbers
Section 1.2 Operations on Rational Numbers
Section 1.3 Variable Expressions
Section 1.4 Verbal Expressions and Variable Expressions
Focus on Problem Solving: Polya's Four-Step Process
Projects and Group Activities: Water Displacement
2. First-Degree Equations and Inequalities
Section 2.1 Solving First-Degree Equations
Section 2.2 Applications: Puzzle Problems
Section 2.3 Applications: Mixture and Uniform Motion Problems
Section 2.4 First-Degree Inequalities
Section 2.5 Absolute Value Equations and Inequalities
Focus on Problem Solving: Understand the Problem
Projects and Group Activities: Electricity
3. Linear Functions and Inequalities in Two Variables
Section 3.1 The Rectangular Coordinate System
Section 3.2 Introduction to Functions
Section 3.3 Linear Functions
Section 3.4 Slope of a Straight Line
Section 3.5 Finding Equations of Lines
Section 3.6 Parallel and Perpendicular Lines
Section 3.7 Inequalities in Two Variables
Focus on Problem Solving: Find a Pattern
Projects and Group Activities: Evaluating a Function with a Graphing Calculator, Introduction to Graphing Calculators, Wind-Chill Index
4. Systems of Equations and Inequalities
Section 4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method
Section 4.2 Solving Systems of Linear Equations by the Addition Method
Section 4.3 Solving Systems of Equations by Using Determinants
Section 4.4 Application Problems
Section 4.5 Solving Systems of Linear Inequalities
Focus on Problem Solving: Solve an Easier Problem
Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations
5. Polynomials
Section 5.1 Exponential Expressions
Section 5.2 Introduction to Polynomial Functions
Section 5.3 Multiplication of Polynomials
Section 5.4 Division of Polynomials
Section 5.5 Factoring Polynomials
Section 5.6 Special Factoring
Section 5.7 Solving Equations by Factoring
Focus on Problem Solving: Find a Counterexample
Projects and Group Activities: Astronomical Distances and Scientific Notation
6. Rational Expressions
Section 6.1 Multiplication and Division of Rational Expressions
Section 6.2 Addition and Subtraction of Rational Expressions
Section 6.3 Complex Fractions
Section 6.4 Ratio and Proportion
Section 6.5 Rational Equations
Section 6.6 Variation
Focus on Problem Solving: Implication
Projects and Group Activities: Graphing Variation Equations, Transformers
7. Exponents and Radicals
Section 7.1 Rational Exponents and Radical Expressions
Section 7.2 Operations on Radical Expressions
Section 7.3 Solving Equations Containing Radical Expressions
Section 7.4 Complex Numbers
Focus on Problem Solving: Another Look at Polya's Four-Step Process
Projects and Group Activities: Solving Radical Equations with a Graphing Calculator, TheGolden Rectangle
8. Quadratic Equations
Section 8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
Section 8.2 Solving Quadratic Equations by Completing the Square
Section 8.3 Solving Quadratic Equations by using the Quadratic Formula
Section 8.4 Solving Equations that are Reducible to Quadratic Equations
Section 8.5 Quadratic Inequalities and Rational Inequalities
Section 8.6 Applications of Quadratic Equations
Focus on Problem Solving: Inductive and Deductive Reasoning
Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation
9. Functions and Relations
Section 9.1 Properties of Quadratic Functions
Section 9.2 Graphs of Functions
Section 9.3 Algebra of Functions
Section 9.4 One-to-One and Inverse Functions
Focus on Problem Solving: Proof in MathematicsProjects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions
10. Exponential and Logarithmic Functions
Section 10.1 Exponential Functions
Section 10.2 Introduction to Logarithms
Section 10.3 Graphs of Logarithmic Functions
Section 10.4 Solving Exponential and Logarithmic Equations
Section 10.5 Applications of Exponential and Logarithmic Functions
Focus on Problem Solving: Proof by Contradiction
Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator, Credit Reports and FICOR Scores
11. Conic Sections
Section 11.1 The Parabola
Section 11.2 The Circle
Section 11.3 The Ellipse and the Hyperbola
Section 11.4 Solving Non-linear Systems of Equations
Section 11.5 Quadratic Inequalities and Systems of Inequalities
Focus on Problem Solving: Using a Variety of Problem-Solving Techniques
Projects and Group Activities: The Eccentricity and Foci of an Ellipse, Graphing Conic Sections, Using a Graphing Calculator
12. Sequences and Series
Section 12.1 Introduction to Sequences and Series
Section 12.2 Arithmetic Sequences and Series
Section 12.3 Geometric Sequences and Series
Section 12.4 Binomial Expansions
Focus on Problem Solving: Forming Negations
Projects and Group Activities: ISBN and UPC Numbers
Final Examination
Appendix
Keystroke Guide
Proofs of Logarithmic Properties
Proof of the Formula for the Sum of n Terms of an Geometric Series
Proof of the Formula for the Sum of n Terms of an Arithmetic Series
Table of Symbols
Table of Measurement Abbreviations
Solutions to You Try Its
Answers to Odd-Numbered Exercises
Richard N. Aufmann, Vernon C. Barker and Joanne S. Lockwood
ISBN13: 978-0618503087With its complete, interactive, objective-based approach, Intermediate Algebra: An Applied Approach, is a best-seller in this market. The Seventh Edition provides mathematically sound and comprehensive coverage of the topics considered essential in an intermediate algebra course. The text includes chapter-opening Prep Tests, updated applications, and a new design. A robust Instructor's Annotated Edition features a comprehensive selection of instructor support materials. The Aufmann Interactive Method is incorporated throughout the text, ensuring that students interact with and master the concepts as they are presented. This approach is especially important in the context of rapidly growing distance-learning and self-paced laboratory situations.
Table of Contents
Note: Each chapter concludes with a Chapter Summary, Review, and Test. Chapters 2-6 are followed by a Cumulative Review.
1. Review of Real Numbers
Section 1.1 Introduction to Real Numbers
Section 1.2 Operations on Rational Numbers
Section 1.3 Variable Expressions
Section 1.4 Verbal Expressions and Variable Expressions
Focus on Problem Solving: Polya's Four-Step Process
Projects and Group Activities: Water Displacement
2. First-Degree Equations and Inequalities
Section 2.1 Solving First-Degree Equations
Section 2.2 Applications: Puzzle Problems
Section 2.3 Applications: Mixture and Uniform Motion Problems
Section 2.4 First-Degree Inequalities
Section 2.5 Absolute Value Equations and Inequalities
Focus on Problem Solving: Understand the Problem
Projects and Group Activities: Electricity
3. Linear Functions and Inequalities in Two Variables
Section 3.1 The Rectangular Coordinate System
Section 3.2 Introduction to Functions
Section 3.3 Linear Functions
Section 3.4 Slope of a Straight Line
Section 3.5 Finding Equations of Lines
Section 3.6 Parallel and Perpendicular Lines
Section 3.7 Inequalities in Two Variables
Focus on Problem Solving: Find a Pattern
Projects and Group Activities: Evaluating a Function with a Graphing Calculator, Introduction to Graphing Calculators, Wind-Chill Index
4. Systems of Equations and Inequalities
Section 4.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method
Section 4.2 Solving Systems of Linear Equations by the Addition Method
Section 4.3 Solving Systems of Equations by Using Determinants
Section 4.4 Application Problems
Section 4.5 Solving Systems of Linear Inequalities
Focus on Problem Solving: Solve an Easier Problem
Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations
5. Polynomials
Section 5.1 Exponential Expressions
Section 5.2 Introduction to Polynomial Functions
Section 5.3 Multiplication of Polynomials
Section 5.4 Division of Polynomials
Section 5.5 Factoring Polynomials
Section 5.6 Special Factoring
Section 5.7 Solving Equations by Factoring
Focus on Problem Solving: Find a Counterexample
Projects and Group Activities: Astronomical Distances and Scientific Notation
6. Rational Expressions
Section 6.1 Multiplication and Division of Rational Expressions
Section 6.2 Addition and Subtraction of Rational Expressions
Section 6.3 Complex Fractions
Section 6.4 Ratio and Proportion
Section 6.5 Rational Equations
Section 6.6 Variation
Focus on Problem Solving: Implication
Projects and Group Activities: Graphing Variation Equations, Transformers
7. Exponents and Radicals
Section 7.1 Rational Exponents and Radical Expressions
Section 7.2 Operations on Radical Expressions
Section 7.3 Solving Equations Containing Radical Expressions
Section 7.4 Complex Numbers
Focus on Problem Solving: Another Look at Polya's Four-Step Process
Projects and Group Activities: Solving Radical Equations with a Graphing Calculator, TheGolden Rectangle
8. Quadratic Equations
Section 8.1 Solving Quadratic Equations by Factoring or by Taking Square Roots
Section 8.2 Solving Quadratic Equations by Completing the Square
Section 8.3 Solving Quadratic Equations by using the Quadratic Formula
Section 8.4 Solving Equations that are Reducible to Quadratic Equations
Section 8.5 Quadratic Inequalities and Rational Inequalities
Section 8.6 Applications of Quadratic Equations
Focus on Problem Solving: Inductive and Deductive Reasoning
Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation
9. Functions and Relations
Section 9.1 Properties of Quadratic Functions
Section 9.2 Graphs of Functions
Section 9.3 Algebra of Functions
Section 9.4 One-to-One and Inverse Functions
Focus on Problem Solving: Proof in MathematicsProjects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator, Business Applications of Maximum and Minimum Values of Quadratic Functions
10. Exponential and Logarithmic Functions
Section 10.1 Exponential Functions
Section 10.2 Introduction to Logarithms
Section 10.3 Graphs of Logarithmic Functions
Section 10.4 Solving Exponential and Logarithmic Equations
Section 10.5 Applications of Exponential and Logarithmic Functions
Focus on Problem Solving: Proof by Contradiction
Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator, Credit Reports and FICOR Scores
11. Conic Sections
Section 11.1 The Parabola
Section 11.2 The Circle
Section 11.3 The Ellipse and the Hyperbola
Section 11.4 Solving Non-linear Systems of Equations
Section 11.5 Quadratic Inequalities and Systems of Inequalities
Focus on Problem Solving: Using a Variety of Problem-Solving Techniques
Projects and Group Activities: The Eccentricity and Foci of an Ellipse, Graphing Conic Sections, Using a Graphing Calculator
12. Sequences and Series
Section 12.1 Introduction to Sequences and Series
Section 12.2 Arithmetic Sequences and Series
Section 12.3 Geometric Sequences and Series
Section 12.4 Binomial Expansions
Focus on Problem Solving: Forming Negations
Projects and Group Activities: ISBN and UPC Numbers
Final Examination
Appendix
Keystroke Guide
Proofs of Logarithmic Properties
Proof of the Formula for the Sum of n Terms of an Geometric Series
Proof of the Formula for the Sum of n Terms of an Arithmetic Series
Table of Symbols
Table of Measurement Abbreviations
Solutions to You Try Its
Answers to Odd-Numbered Exercises