Lecture 24, Friday, 10/24/08: Section 13.7: Triple integrals in spherical coordinates

Topics

Spherical coordinates
Converting equations between rectangular, cylindrical, and spherical coordinates
Triple integrals in spherical coordinates
Applications (Volume, mass, etc.)

Read

Section 13.7.

Homework

Section 13.7: 1 - 29 odds, 33, 35 (setup only), 37, 39, 41, 43, 45, 49, 53, 54, 55, 57. Solutions.
Notes: 1 - 29 are quickies. In problems asking for a sketch, describe verbally the shape of the region represented by the given equation (e.g., "cone centered at origin, at angle pi/6 about z-axis, pointing upwards"). For the latter group of problems the setup is the most important, and most difficult, part, so focus on this part. Except for #35, the integrations are quite doable and not too lengthy, and you should work at least of these problems completely.

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Last modified Tue 28 Oct 2008 06:04:20 PM CDT