Page 12 - How To Solve Word Problems In Calculus

Introduction

Strategies for Solving

Word Problems

The power of calculus lies in its ability to solve applied prob-
lems in such diverse areas as physics, chemistry, biology, busi-
ness, economics, and the social sciences. Invariably, human
beings, using words that attempt to describe some realistic
situation, pose such problems. This book addresses the diff-
iculties many students have solving word problems in their
calculus courses.
The first task in solving a word problem is to develop a
model for the problem at hand. A mathematical model is a
description of the problem in terms of variables, functions,
equations, and other mathematical entities. Once it has been
modeled, the second task is to solve the problem using the
appropriate mathematical tools.
Setting up and solving a calculus problem from a verbal
description is a skill, which is best learned by example, fol-
lowing appropriate guidelines. By studying the steps set forth
in each chapter, you will develop techniques that can be ap-
plied to a variety of different applications.
Try to avoid memorizing procedures applicable only to
specific problems. Although this will give you instant gratifi-
cation when you get the correct answer, you will find that
if a problem deviates even slightly from the one you mem-
orized, you will be hopelessly lost. A better approach is to learn

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