Intermediate Algebra: An Applied Approach (Available Titles CourseMate)

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9781439046906: Intermediate Algebra: An Applied Approach (Available Titles CourseMate)
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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. The role of "active participant" is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately work similar problems, helps them build their confidence and eventually master the concepts. To this point, simplicity plays a key factor 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. This "objective-based" approach not only serves the needs of students, in terms of helping them to clearly organize their thoughts around the content, but instructors as well, as they work to design syllabi, lesson plans, and other administrative documents. The Eighth Edition features a new design, enhancing the Aufmann Interactive Method and the organization of the text around objectives, making the pages easier for both students and instructors to follow.

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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:

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.

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