Math 242, Spring 2019, Assignment 15

I must study politics and war that my sons may have liberty to study mathematics and philosophy.

- John Adams, letter to Abigail Adams, May 12, 1780

Read:

1. Section 16.8.
2. Section 16.9.

Carefully define the following terms, then give one example and one non-example of each:

1. Divergence (of a vector field $\vec{F}(x,y,z)$).

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

1. Stokes' Theorem.
2. Gauss' Theorem (a.k.a. the Divergence Theorem).

Solve the following problems:

1. Section 16.8, problems 3, and 7.
2. Section 16.9, problems 3, 5, and 7.

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