How to Solve Word Problems in Calculus,9780071358972

How to Solve Word Problems in Calculus

by ;
Edition: 1st
ISBN13: 9780071358972
ISBN10: 0071358978
Format: Paperback
Pub. Date: 2001-07-30
Publisher(s): McGraw-Hill Education
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Summary

Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems. Each chapter features an introduction to a problem type, definitions, related theorems, and formulas. Topics range from vital pre-calculus review to traditional calculus first-course content. Sample problems with solutions and a 50-problem chapter are ideal for self-testing. Fully explained examples with step-by-step solutions.

Author Biography

Eugene Don (Coram, NY) is Professor of Mathematics at Queens College of the City University of New York. He is also the author of Schaum's Outline of Mathematica.

Table of Contents

Preface ix
Introduction---Strategies for Solving Word Problems xi
Extracting Functions from Word Problems
1(26)
Strategy for Extracting Functions
Number Problems
Two-Dimensional Geometry Problems
Three-Dimensional Geometry Problems
Business and Economics Problems
Rates of Change in the Natural and Social Sciences
27(19)
Motion along a Straight Line
Applications to Science and Engineering
Business and Economics
Related Rates
46(24)
Applied Maximum and Minimum
70(59)
Trigonometric Functions
129(21)
Related Rates
Maximum-Minimum Problems
Exponential Functions
150(25)
Exponential-Growth and Decay
Continuous Compounding of Interest
Additional Exponential Models
Problems Involving Integrals
175(30)
Area Problems
Volumes of Solids of Revolution
Application to Business and Economics
205
Rates of Change in Business
Marginal Analysis in Economics
Related Rates
Optimization
Inventory Control

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