Basic College Mathematics: An Applied Approach - Softcover

Aufmann, Richard N.

Softcover

ISBN 10: 0618226850 ISBN 13: 9780618226856

Publisher: Houghton Mifflin College Div, 2002

Synopsis

Basic College Mathematics provides mathematically sound and comprehensive coverage of the topics considered essential in a basic college math course. The Aufmann Interactive Method ensures that students master concepts by actively practicing them as they are introduced. This approach is ideal for traditional and returning students in both classroom and distance-learning environments.

For the Sixth Edition, topics from geometry have been integrated into the text, using verbal explanations. In addition, coverage of simple interest (Chapter 6) has been expanded.

• The Aufmann Interactive Method helps students learn and understand math concepts by doing the math. Every objective contains one or more sets of matched-pair examples. Students first walk through a worked-out example and then solve a similar "You Try It" example. Complete solutions to these examples are available in an appendix.
• An Integrated Learning System organized by objectives helps students understand what they're learning and why as they apply new concepts throughout the chapter. Each chapter begins with a list of goals that form the framework for a complete learning system. These objectives are woven throughout the text, in Exercises, Chapter Tests, Cumulative Reviews, as well as the print and multimedia ancillaries.
• An Instructor's Annotated Edition provides reduced pages from the Student Edition to leave space for the following features: Instructor Notes; In-Class Examples; Concept Checks; Discuss the Concepts; Special presentation of new Vocabulary/ Symbols/Formulas/Rules/Properties/Equations; Special review of these same features; Optional Student Activities; Quick Quizzes; Answers to Writing Exercises; Suggested Assignments; and Answers to all exercises.
• AIM for Success, a special student preface, offers techniques and support for student success.
• Prep Tests at the beginning of each chapter assess students' prerequisite skills. Students may check answers in an appendix, which refers them back to a previous objective for review, if necessary.
• Go Figure challenge problems follow the Prep Test to engage students in problem solving.
• Updated data problems, designed to show students the relevance of mathematics across the disciplines and in daily life, reflect current data and trends.
• Additional and revised Projects and Group Activities enable students to see the connections between abstract concepts and real-life situations.
• Strong emphasis on applications demonstrates the value of mathematics as a real-life tool. Chapter openers have been updated with new photos and captions illustrating a specific application from the chapter.
• Focus on Problem Solving features and active learning strengthen problem-solving skills.
• Unlike most textbooks, this series simultaneously introduces verbal phrases for mathematical operations and the operations themselves. Exercises then prompt students to make a connection between a phrase and a mathematical process.

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. Whole Numbers Section 1.1 Introduction to Whole Numbers Section 1.2 Addition of Whole Numbers Section 1.3 Subtraction of Whole Numbers Section 1.4 Multiplication of Whole Numbers Section 1.5 Division of Whole Numbers Section 1.6 Exponential Notation and the Order of Operations Agreement Section 1.7 Prime Numbers and Factoring Focus on Problem Solving: Questions to Ask Projects and Group Activities: Order of Operations, Patterns in Mathematics, Search the World Wide Web 2. Fractions Section 2.1 The Least Common Multiple and Greatest Common Factor Section 2.2 Introduction to Fractions Section 2.3 Writing Equivalent Fractions Section 2.4 Addition of Fractions and Mixed Numbers Section 2.5 Subtraction of Fractions and Mixed Numbers Section 2.6 Multiplication of Fractions and Mixed Numbers Section 2.7 Division of Fractions and Mixed Numbers Section 2.8 Order, Exponents, and the Order of Operations Agreement Focus on Problem Solving: Common Knowledge Projects and Group Activities: Music, Construction, Fractions of Diagrams 3. Decimals Section 3.1 Introduction to Decimals Section 3.2 Addition of Decimals Section 3.3 Subtraction of Decimals Section 3.4 Multiplication of Decimals Section 3.5 Division of Decimals Section 3.6 Comparing and Converting Fractions and Decimals a fraction Focus on Problem Solving: Relevant Information Projects and Group Activities: Fractions as Terminating or Repeating Decimals 4. Ratio and Proportion Section 4.1 Ratio Section 4.2 Rates Section 4.3 Proportions Focus on Problem Solving: Looking for a Pattern Projects and Group Activities: The Golden Ratio, Drawing the Floor Plans for a Building, The U.S. House of Representatives 5. Percents Section 5.1 Introduction to Percents Section 5.2 Percent Equations: Part 1 Section 5.3 Percent Equations: Part II Section 5.4 Percent Equations: Part III Section 5.5 Percent Problems: Proportion Method Focus on Problem Solving: Using a Calculator as a Problem-Solving Tool, Using Estimation as a Problem-Solving Tool Projects and Group Activities: Health, Consumer Price Index 6. Applications for Business and Consumers Section 6.1 Applications to Purchasing Section 6.2 Percent Increase and Percent Decrease Section 6.3 Interest Section 6.4 Real Estate Expenses Section 6.5 Car Expenses Section 6.6 Wages Section 6.7 Bank Statements Focus on Problem Solving: Counterexamples Projects and Group Activities: Buying a Car 7. Statistics and Probability Section 7.1 Pictographs and Circle Graphs Section 7.2 Bar Graphs and Broken-Line Graphs Section 7.3 Histograms and Frequency Polygons Section 7.4 Statistical Measures Section 7.5 Introduction to Probability Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: Deceptive Graphs; Collecting, Organizing, Displaying, and Analyzing Data 8. U.S. Customary Units of Measurement Section 8.1 Length Section 8.2 Weight Section 8.3 Capacity Section 8.4 Time Section 8.5 Energy and Power Focus on Problem Solving: Applying Solutions to Other Problems Projects and Group Activities: Nomographs, Averages 9. The Metric System of Measurement Section 9.1 Length Section 9.2 Mass Section 9.3 Capacity Section 9.4 Energy Section 9.5 Conversion Between the U.S. Customary and the Metric Systems of Measurement Focus on Problem Solving: Working Backward Projects and Group Activities: Name that Metric Unit, Metric Measurements for Computers 10. Rational Numbers Section 10.1 Introduction to Integers Section 10.2 Addition and Subtraction of Integers Section 10.3 Multiplication and Division of Integers Section 10.4 Operations with Rational Numbers Section 10.5 Scientific Notation and the Order of Operations Agreement Focus on Problem Solving: Drawing Diagrams Projects and Group Activities: Deductive Reasoning 11. Introduction to Algebra Section 11.1 Variable Expressions Section 11.2 Introduction to Equations Section 11.3 General Equations: Part I Section 11.4 General Equations: Part II Section 11.5 Translating Verbal Expressions into Mathematical Expressions Section 11.6 Translating Sentences into Equations and Solving Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Averages 12. Geometry Section 12.1 Angles, Lines, and Geometric Figures Section 12.2 Plane Geometric Figures Section 12.3 Area Section 12.4 Volume Section 12.5 The Pythagorean Theorem Section 12.6 Similar and Congruent Triangles Focus on Problem Solving: Trial and Error Projects and Group Activities: Investigating Perimeter, Symmetry

Edition details

• Publisher: Houghton Mifflin College Div
• Publication date: 2002
• Language: English
• ISBN 10: 0618226850
• ISBN 13: 9780618226856
• Binding: Paperback
• Number of pages: 570