Lecture 23, Wednesday, 10/22/08: Section 13.6: Triple integrals in cylindrical coordinates

Topics

Cylindrical coordinates
Converting equations from rectangular to cylindrical coordinates
Triple integrals in cylindrical coordinates
Applications (Volume, mass, etc.)

Read

Section 13.6.

Homework

Section 13.6: 1,3,5,7, 9, 11, 13, 21, 25, 33, 35, 39,42,43,44,45,46, 50.
(For Problems 1-7 and 39-46 describe verbally the shape of the regions represented by the given equation (e.g., "sphere of radius 2, centered at (0,0,2)"). For 21-35 focus on the set-up; you can leave out routine integrations. For 50, interchange the variables y and z to get expressions that easily convert to cylindrical coordinates. (The given version amounts to a relabeling of the coordinate axes, which doesn't change the result, but makes the problem slightly tricky.)
Solutions.

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Last modified Wed 22 Oct 2008 07:38:19 PM CDT