Synopses & Reviews
As in previous editions, the focus in ALGEBRA: INTRODUCTORY and INTERMEDIATE 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 Sixth 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.
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. 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.
Table of Contents
1. REAL NUMBERS AND VARIABLE EXPRESSIONS. Prep Test. Integers. Rational and Irrational Numbers. The Order of Operations Agreement. Variable Expressions. Sets. Focus on Problem Solving. Projects and Group Activities. Chapter 1 Summary. Concept Review. Chapter 1 Review Exercises. Chapter 1 Test. 2. FIRST-DEGREE EQUATIONS AND INEQUALITIES. Prep Test. Introduction to Equations. General Equations. Translating Sentences into Equations. Mixture and Uniform Motion Problems. First-Degree Inequalities. Absolute Value Equations and Inequalities. Focus on Problem Solving. Projects and Group Activities. Chapter 2 Summary. Concept Review. Chapter 2 Review Exercises. Chapter 2 Test. Cumulative Review Exercises. 3. GEOMETRY. Prep Test. Introduction to Geometry. Plane Geometric Figures. Solids. Focus on Problem Solving. Projects and Group Activities. Chapter 3 Summary. Concept Review. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. LINEAR FUNCTIONS AND INEQUALITIES IN TWO VARIABLES. Prep Test. 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 4 Summary. Concept Review. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES. Prep Test. Solving Systems of Linear Equations by Graphing and by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Application Problems. Solving Systems of Linear Inequalities. Solving Systems of Equations by Using Determinants. Focus on Problem Solving. Projects and Group Activities. Chapter 5 Summary. Concept Review. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. POLYNOMIALS. Prep Test. Exponential Expressions. Introduction to Polynomial Functions. Multiplication of Polynomials. Division of Polynomials. Focus on Problem Solving. Projects and Group Activities. Chapter 6 Summary. Concept Review. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. 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. Projects and Group Activities. Chapter 7 Summary. Concept Review. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. RATIONAL EXPRESSIONS. Prep Test. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Solving Equations Containing Fractions. Ratio and Proportion. Literal Equations. Application Problems. Variation. Focus on Problem Solving. Projects and Group Activities. Chapter 8 Summary. Concept Review. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. EXPONENTS AND RADICALS. Prep Test. 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 9 Summary. Concept Review. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10. 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. 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 10 Summary. Concept Review. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. FUNCTIONS AND RELATIONS. Prep Test. Properties of Quadratic Functions. Graphs of Functions. Algebra of Functions. One-to-One and Inverse Functions. Conic Sections. Focus on Problem Solving. Projects and Group Activities. Chapter 11 Summary. Concept Review. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. 12. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Prep Test. 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 12 Summary. Concept Review. Chapter 12 Review Exercises. Chapter 12 Test. Cumulative Review Exercises. R. REVIEW OF INTRODUCTORY ALGEBRA TOPICS. Variable Expressions. Equations and Inequalities. Linear Equations in Two Variables. Polynomials.