How to Solve Word Problems in Calculus

Service Description

This book is designed to enable students of calculus to develop their skills in solving word problems. Most calculus textbooks present this topic in a cursory manner, forcing the student to struggle with the techniques of setting up and solving complex verbal problems. This book, which may be used as a supplement to all calculus textbooks, is presented in a manner that has proved so successful with the other books in the How to Solve Word Problems series: • Concise definitions and discussion of appropriate theory in easily understood terms. • Fully worked out solutions to illustrative examples. • Supplementary problems with complete solutions. The purpose of this book is to increase the student’s confidence in his or her ability to solve word problems. The material is presented in an easy-to-understand, readable manner and if the reader is willing to invest a little time and effort, he or she will be rewarded with a skill which will prove invaluable. EUGENE DON BENAY DON Contents Preface Introduction—Strategies for Solving Word Problems Chapter 1—Extracting Functions from Word Problems • Strategy for Extracting Functions • Number Problems • Two-Dimensional Geometry Problems • Three-Dimensional Geometry Problems • Business and Economics Problems Chapter 2—Rates of Change in the Natural and Social Sciences • Motion along a Straight Line • Applications to Science and Engineering • Business and Economics Chapter 3—Related Rates Chapter 4—Applied Maximum and Minimum Chapter 5—Trigonometric Functions • Related Rates • Maximum-Minimum Problems Chapter 6—Exponential Functions • Exponential-Growth and Decay • Continuous Compounding of Interest • Additional Exponential Models Chapter 7—Problems Involving Integrals • Area Problems • Volumes of Solids of Revolution Chapter 8—Application to Business and Economics • Rates of Change in Business • Marginal Analysis in Economics • Related Rates • Optimization • Inventory Control

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