Intermediate Algebra: An Applied Approach - Softcover

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

Softcover

ISBN 10: 0395907071 ISBN 13: 9780395907078

Publisher: Houghton Mifflin College Div, 1998

Synopsis

1. REVIEW OF REAL NUMBERS. Introduction to Real Numbers. Operations on Rational Numbers. Variable Expressions. Verbal Expressions and Variable Expressions. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. 2. FIRST-DEGREE EQUATIONS AND INEQUALITIES. Solving First-Degree Equations. Applications: Puzzle Problems. Applications: Mixture and Uniform Motion Problems. First-Degree Inequalities. Absolute Value Equations and Inequalities. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 3. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES. 3.1 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. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 4. 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. Application Problems. Solving Systems of Linear Inequalities. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 5. POLYNOMIALS. Exponential Expressions. Introduction to Polynomial Functions. Multiplication of Polynomials. Division of Polynomials. Factoring Polynomials. Special Factoring. Solving Equations by Factoring. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 6. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Ratio and Proportion. Rational Equations. Variation. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 7. EXPONENTS AND RADICALS. Rational Exponents and Radical Expressions. Operations on Radical Expressions. Solving Equations Containing Radical Expressions. Complex Numbers. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 8. QUADRATIC EQUATIONS. Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by using the Quadratic Formula. Solving Equations that are Reducible to Quadratic Equations. Quadratic Inequalities and Rational Inequalities. Applications of Quadratic Equations. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 9. FUNCTIONS AND RELATIONS. Properties of Quadratic Functions. Graphs of Functions. Algebra of Functions. One-to-One and Inverse Functions. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 10. Exponential and Logarithmic Functions. Exponential Functions. Introduction to Logarithms. Graphs of Logarithmic Functions. Solving Exponential and Logarithmic Equations. Applications of Exponential and Logarithmic Functions. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 11. CONIC SECTIONS. The Parabola. The Circle. The Ellipse and the Hyperbola. Solving Non-linear Systems of Equations. Quadratic Inequalities and Systems of Inequalities. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 12. SEQUENCES AND SERIES. Introduction to Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. Binomial Expansions. Focus on Problem Solving. Projects and Group Activities. Chapter Summary. Chapter Review. Chapter Test. Cumulative Review. 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. Glossary. Index.

About this title

About the Author

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.

Review

Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, Review Exercises, and Test. Chapters 2-6 are followed by Cumulative Review Exercises. 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, The Golden 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 Mathematics Projects 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 FICO(R) 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 Nonlinear 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

Edition details

• Publisher: Houghton Mifflin College Div
• Publication date: 1998
• Language: English
• ISBN 10: 0395907071
• ISBN 13: 9780395907078
• Binding: Paperback
• Edition number: 5
• Number of pages: 784