Chapter Comments
- In Calculus II (integral calculus) you studied how to set up and evaluate integrals of one variable (i.e., functions of the form y=f(x)), and some applications of such integrals. In Calculus IV you will learn to set up and evaluate integrals of more than one variable, with corresponding applications. Adding dimensions adds complications, but the content of Calculus IV draws very heavily on skills you already have from previous courses -- in particular we assume that you have competency in standard techniques of integration.
- One of the most challenging aspects of Calculus IV (multivariable calculus) is visualizing the objects being studied. To try to facilitate this process for you, we have tried to provide more graphics than most textbooks do. Be sure to study the pictures so that you can learn to think in 3-space.
Chapter Contents
- §16.1 Double Integrals over Rectangles
- §16.2 Iterated Integrals
- §16.3 Double Integrals over General Regions
- §16.4 Double Integrals in Polar Coordinates
- §16.5 Applications of Double Integrals
- §16.6 Surface Area
- §16.7 Triple Integrals
- §16.8 Triple Integrals in Cylindrical and Spherical Coordinates
- §16.9 Change of Variables in Multiple Integrals
Chapter 16 Sample Test Items and
Sample Solutions
This document is part of the Math 2443: Calculus and Analytic Geometry IV course designed for the Independent Study Department in the College of Continuing Education at the University of Oklahoma, Norman.
Go to: