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More About This Textbook
Overview
As in previous editions, the focus in INTRODUCTORY 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 carefullyconstructed hierarchy of objectives. This "objectivebased" 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.
Product Details
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 coauthored 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.
Table of Contents
1. PREALGEBRA REVIEW. Prep Test. Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Exponents and the Order of Operations Agreement. Factoring Numbers and Prime Factorization. Addition and Subtraction of Rational Numbers. Multiplication and Division of Rational Numbers. Concepts from Geometry. Focus on Problem Solving: Inductive Reasoning. Projects and Group Activities: The +/ Key on a Calculator, Balance of Trade. Chapter 1 Summary. Concept Review. Chapter 1 Review Exercises. Chapter 1 Test. 2. VARIABLE EXPRESSIONS. Prep Test. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. Focus on Problem Solving: From Concrete to Abstract. Projects and Group Activities: Prime and Composite Numbers. Chapter 2 Summary. Concept Review. Chapter 2 Review Exercises. Chapter 2 Test. Cumulative Review Exercises. 3. SOLVING EQUATIONS. Prep Test. Introduction to Equations. General EquationsPart I. General EquationsPart II. Translating Sentences into Equations. Geometry Problems. Mixture and Uniform Motion Problems. Focus on Problem Solving: TrialandError Approach to Problem Solving. Projects and Group Activities: Nielsen Ratings. Chapter 3 Summary. Concept Review. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. POLYNOMIALS. Prep Test. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. Focus on Problem Solving: Dimensional Analysis. Projects and Group Activities: Diagramming the Square of a Binomial, Pascal's Triangle. Chapter 4 Summary. Concept Review. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. FACTORING. Prep Test. Common Factors. Factoring Polynomials of the Form x² + bx + c. Factoring Polynomials of the Form ax² + bx + c. Special Factoring. Solving Equations. Focus on Problem Solving: Making a Table. Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator, Exploring Integers, Using the World Wide Web. Chapter 5 Summary. Concept Review. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. RATIONAL EXPRESSIONS. Prep Test. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple (LCM). Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. Focus on Problem Solving: Negations and If … then Sentences. Projects and Group Activities: Intensity of Illumination. Chapter 6 Summary. Concept Review. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. LINEAR EQUATIONS IN TWO VARIABLES. Prep Test. The Rectangular Coordinate System. Linear Equations in Two Variables. Intercepts and Slopes of Straight Lines. Equations of Straight Lines. Focus on Problem Solving: Counterexamples. Projects and Group Activities: Graphing Linear Equations with a Graphing Utility. Chapter 7 Summary. Concept Review. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. SYSTEMS OF LINEAR EQUATIONS. Prep Test. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Equations by the Addition Method. Application Problems in Two Variables. Focus on Problem Solving: Calculators. Projects and Group Activities: Solving a System of Equations with a Graphing Calculator. Chapter 8 Summary. Concept Review. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. INEQUALITIES. Prep Test. Sets. The Addition and Multiplication Properties of Inequalities. General Inequalities. Graphing Linear Inequalities. Focus on Problem Solving: Graphing Data. Projects and Group Activities: Mean and Standard Deviation. Chapter 9 Summary. Concept Review. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10.RADICAL EXPRESSIONS. Prep Test. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. Focus on Problem Solving: Deductive Reasoning. Projects and Group Activities: Distance to the Horizon. Chapter 10 Summary. Concept Review. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. QUADRATIC EQUATIONS. Prep Test. 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. Graphing Quadratic Equations in Two Variables. Application Problems. Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques. Projects and Group Activities: Graphical Solutions of Quadratic Equations, Geometric Construction of Completing the Square. Chapter 11 Summary. Concept Review. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. Final Exam. Appendix. Solutions to YouTryIts. Answers to Selected Exercises. Glossary. Index.