Lecture 18, Wednesday, 10/8/08: Section 13.1: Double integrals

Topics

Definition of double integrals via Riemann sums (lightly)
Geometric interpretation as volumes
Computation of double integrals via iterated integrals
Reversing order of integration

Read

Section 13.1. The first part (through p. 1037) introduces double integrals formally via Riemann sums. The pictures there are helpful in gaining the right intuition about the definition and meaning of double integrals, but the material is not appropriate for hw/quiz/exam problems, so you can just skim through this part. You can also skip Example 1.4, which requires a numerical approximation method. However, the other examples (Examples 1.3, 1.5, 1.6, 1.7) are all very instructive and important.

Homework

Section 13.1: 7, 9, 15, 19, 27, 29, 37, 41, 43 Solutions.

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Last modified Sat 11 Oct 2008 01:41:37 PM CDT