Lectures 25/26, Monday/Wednesday, 10/27-29/08:
Triple integral practice
Topics
- Choosing appropriate coordinate systems
- Effective sketching: horizontal slices (region R, "shadow" in xy-plane)
and vertical slices (z-r plot).
- "Sweeping out" a region horizontally or vertically
and reading off integration limits
- Setting up a triple integral
- "Reverse-engineering" a triple integral: Determining region
of integration from limits on an iterated integral
- Rewriting an iterated integral in different coordinate systems
Homework
No additional hw. The following is the assignment from
Lecture 24:
Section 13.7: 1 - 29 odds, 33, 35 (setup only), 37, 39, 41,
43, 45, 49, 53, 54, 55, 57. Solutions.
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Last modified Wed 29 Oct 2008 07:00:11 AM CDT