Basic College Math: An Applied Approach

by Aufmann, Richard N.

• ISBN13: 9780618503056
• ISBN10: 0618503056
• Edition: 8th
• Format: Paperback
• Copyright: 2005-01-01
• Publisher: Cengage Learning

Summary

With its complete, interactive, objective-based approach,Basic College Mathematicsis the best-seller in this market. The Eighth Edition provides mathematically sound and comprehensive coverage of the topics considered essential in a basic college math course. The text includes chapter-openingPrep Tests,updated applications, and a new design. Furthermore, the Instructor's Annotated Edition features a comprehensive selection of new instructor support material. The Aufmann Interactive Method is incorporated throughout the text, ensuring that students interact with and master the concepts as they are presented. This approach is especially important in the context of rapidly growing distance-learning and self-paced laboratory situations. New!Study Tipsmargin notes provide point-of-use advice and refer students back to theAIM for Successpreface for support where appropriate. Integrating Technology(formerly Calculator Notes) margin notes provide suggestions for using a calculator in certain situations. For added support and quick reference, a scientific calculator screen is displayed on the inside back cover of the text. Enhanced!More bulleted annotationshave been added to the solution steps of examples and to theYou Try Itsolutions in the appendix. Enhanced!Examples have been clearly labeledHow To,making them more prominent to the student. Enhanced!More operation application problemsintegrated into theApplying the Conceptsexercises encourage students to judge which operation is needed to solve a word problem. New!Nearly100 new photosadd real-world appeal and motivation. Revised!TheChapter Summaryhas been reformatted to include an example column, offering students increased visual support. Enhanced!In response to instructor feedback, the number ofChapter Review ExercisesandCumulative Review Exerciseshas increased. Enhanced!This edition features additional coverage of time (Chapter 8), bytes (Chapter 9), and temperature (Chapter 11). Aufmann Interactive Method (AIM)Every section objective contains one or more sets of matched-pair examples that encourage students to interact with the text. The first example in each set is completely worked out; the second example, called 'You Try It,' is for the student to work. By solving the You Try It, students practice concepts as they are presented in the text. Complete worked-out solutions to these examples in an appendix enable students to check their solutions and obtain immediate reinforcement of the concept. While similar texts offer only final answers to examples, the Aufmann texts' complete solutions help students identify their mistakes and prevent frustration. Integrated learning system organized by objectives.Each chapter begins with a list of learning objectives that form the framework for a complete learning system. The objectives are woven throughout the text (in Exercises, Chapter Tests, and Cumulative Reviews) and also connect the text with the print and multimedia ancillaries. This results in a seamless, easy-to-navigate learning system. AIM for SuccessStudent Preface explains what is required of a student to be successful and demonstrates how the features in the text foster student success.AIM for Successcan be used as a lesson on the first day of class or as a project for students to complete. The Instructor's Resource Manual offers suggestions for teaching this lesson.Study Tipmargin notes throughout the text also refer students back to the Student Preface for advice. Prep Testsat the beginning of each chapter help students prepare for the upcoming material by testing them on prerequisite material learned in preceding chapters. The answers to these

Table of Contents

Chapters 2–6 are followed by Cumulative Review Exercises

Whole Numbers

Introduction to Whole Numbers

Addition of Whole Numbers

Subtraction of Whole Numbers

Multiplication of Whole Numbers

Division of Whole Numbers

Exponential Notation and the Order of Operations Agreement

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

Fractions

The Least Common Multiple and Greatest Common Factor

Introduction to Fractions

Writing Equivalent Fractions

Addition of Fractions and Mixed Numbers

Subtraction of Fractions and Mixed Numbers

Multiplication of Fractions and Mixed Numbers

Division of Fractions and Mixed Numbers

Order, Exponents, and the Order of Operations Agreement

Focus on Problem Solving: Common Knowledge Projects and Group Activities: Music, Construction, Fractions of Diagrams

Decimals

Introduction to Decimals

Addition of Decimals

Subtraction of Decimals

Multiplication of Decimals

Division of Decimals

Comparing and Converting Fractions and Decimals a fraction

Focus on Problem Solving: Relevant Information Projects and Group Activities: Fractions as Terminating or Repeating Decimals

Ratio and Proportion

Ratio

Rates

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

Percents

Introduction to Percents

Percent Equations: Part 1

Percent Equations: Part II

Percent Equations: Part III

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

Applications for Business and Consumers

Applications to Purchasing

Percent Increase and Percent Decrease

Interest

Real Estate Expenses

Car Expenses

Wages

Bank Statements

Focus on Problem Solving: Counterexamples Projects and Group Activities: Buying a Car

Statistics and Probability

Pictographs and Circle Graphs

Bar Graphs and Broken-Line Graphs

Histograms and Frequency Polygons

Statistical Measures

Introduction to Probability

Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: Deceptive Graphs; Collecting, Organizing, Displaying, and Analyzing Data

U.S. Customary Units of Measurement

Length

Weight

Capacity

Time

Energy and Power

Focus on Problem Solving: Applying Solutions to Other Problems Projects and Group Activities: Nomographs, Averages

The Metric System of Measurement

Length

Mass

Capacity

Energy

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

Rational Numbers

Introduction to Integers

Addition and Subtraction of Integers

Multiplication and Division of Integers

Operations with Rational Numbers

Scientific Notation and the Order of Operations Agreement

Focus on Problem Solving: Drawing Diagrams Projects and Group Activities: Deductive Reasoning

Introduction to Algebra

Variable Expressions

Introduction to Equations

General Equations: Part I

General Equations: Part II

Translating Verbal Expressions into Mathematical Expressions

Translating Sentences into Equations and Solving

Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Averages

Geometry

Angles, Lines, and Geometric Figures

Plane Geometric Figures

Area

Volume

The Pythagorean Theorem

Similar and Congruent Triangles

Focus on Problem Solving: Trial and Error Projects and Group Activities: Investigating Perimeter, Symmetry

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