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Calculus II For Dummies, 2nd Edition
book

Calculus II For Dummies, 2nd Edition

by Zegarelli
January 2012
Intermediate to advanced content levelIntermediate to advanced
384 pages
8h 37m
English
For Dummies
Content preview from Calculus II For Dummies, 2nd Edition

Chapter 14

Multivariable Calculus

In This Chapter

arrow Visualizing vectors

arrow Making the leap from two to three dimensions

arrow Understanding cylindrical and spherical coordinates

arrow Using partial derivatives

arrow Sorting out and solving multiple integrals

Space, as Captain Kirk says during the opening credits of the television series Star Trek, is the final frontier. Multivariable calculus (also known as Calculus III) focuses on techniques for doing calculus in space — that is, in three dimensions.

Mathematicians have a variety of terms for three dimensions: 3-D, 3-space, and R3 are the most common. Whatever you call it, adding a dimension makes multivariable calculus more interesting and useful, but also a bit trickier than single variable calculus.

In this chapter, I give you a quick introduction to multivariable calculus, touching on the highlights usually taught in a Calculus III class. First, I show you how vectors provide a method for linking a value with a direction. Next, I introduce you to three ...

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Publisher Resources

ISBN: 9781118161708Purchase book