Math 242, Fall 2013, Assignment 14

What would life be without arithmetic, but a scene of horrors?

- Sydney Smith

Define the following terms:

1. Curl (of a vector field).
2. Divergence (of a vector field).

Carefully state the following theorems (you need not prove them):

1. Green's Theorem.
2. Formula for the curl of a gradient.
3. Formula for the divergence of a curl.

Solve the following problems:

1. Section 13.4, problems 3, 7, 9, and 11.
2. Section 13.5, problems 3, 7, 11, 12, 15, 19, and 25.

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