Intermediate Algebra: An Applied Approach / Edition 8

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Overview

As in previous editions, the focus in INTERMEDIATE ALGEBRA remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. Student engagement is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately solve similar problems, helps them build their confidence and eventually master the concepts. Simplicity is key in the organization of this edition, as in all other editions. All lessons, exercise sets, tests, and supplements are organized around a carefully constructed hierarchy of objectives. Each exercise mirrors a preceding objective, which helps to reinforce key concepts and promote skill building. This clear, objective-based approach allows students to organize their thoughts around the content, and supports instructors as they work to design syllabi, lesson plans, and other administrative documents. New features like Focus on Success, Apply the Concept, and Concept Check add an increased emphasis on study skills and conceptual understanding to strengthen the foundation of student success. The Ninth Edition also features a new design, enhancing the Aufmann Interactive Method and making the pages easier for both students and instructors to follow. Available with InfoTrac Student Collections http://gocengage.com/infotrac.

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Product Details

  • ISBN-13: 9781439046906
  • Publisher: Cengage Learning
  • Publication date: 1/21/2010
  • Series: Available Titles CourseMate Series
  • Edition description: Older Edition
  • Edition number: 8
  • Pages: 848
  • Sales rank: 571,384
  • Product dimensions: 8.40 (w) x 10.70 (h) x 1.00 (d)

Meet 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.

Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.

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Table of Contents

Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-12 include Cumulative Review Exercises. A. AIM FOR SUCCESS. 1. REVIEW OF REAL NUMBERS. Introduction to Real Numbers. Operations on Integers. Operations on Rational Numbers. Variable Expressions. Verbal Expressions and Variable Expressions. 2. FIRST-DEGREE EQUATIONS AND INEQUALITIES. Solving First-Degree Equations. Applications: Mixture and Uniform Motion Problems. First-Degree Inequalities. Absolute Value Equations and Inequalities. 3. 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. 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. 5. POLYNOMIALS. Exponential Expressions. Introduction to Polynomial Functions. Multiplication of Polynomials. Division of Polynomials. Introduction to Factoring. Factoring Trinomials. Special Factoring. Solving Equations by Factoring. 6. RATIONAL EXPRESSIONS. Simplify Rational Expressions. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Ratio and Proportion. Rational Equations. Variation. 7. EXPONENTS AND RADICALS. Rational Exponents and Radical Expressions. Add or Subtract Radical Expressions. Multiply or Divide Radical Expressions. Solving Equations Containing Radical Expressions. Complex Numbers. 8. QUADRATIC EQUATIONS. Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square and the Quadratic Formula. Solving Equations that are Reducible to Quadratic Equations. Applications of Quadratic Equations. Quadratic Inequalities and Rational Inequalities. 9. FUNCTIONS AND RELATIONS. Properties of Quadratic Functions. Translating and Reflecting Graphs. Algebra of Functions. One-to-One and Inverse Functions. 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. 11. CONIC SECTIONS. The Parabola. The Circle. The Ellipse and the Hyperbola. Solving Non-linear Systems of Equations. Quadratic Inequalities and Systems of Inequalities. 12. SEQUENCES AND SERIES. Introduction to Sequences and Series. Arithmetic Sequences and Series. Geometric Sequences and Series. Binomial Expansions. FINAL EXAM. APPENDIX. Keystroke Guide. Proofs of Logarithmic Properties. Proof of the Formula for the Sum of n Terms of a 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.

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