### MATH 511
- HOMEWORK PROBLEMS - Spring 2010

**Homework 1 (due Feb 26, 2010):**

Do four problems from Rudin Chapter 9: 5, 6, 8, 9, 10, 11, 13, 14.

**Homework 2 (due March 23, 2010):**

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**Homework 3 (due April 15, 2010):**

Choose four problems from different sections in Munkres' Chapter 3:

Section 10 (p. 90): 3, 4, 5, 6-7.

Section 11 (p. 97-98): 1, 7.

Section 12 (p. 103): 2, 3, 4.

Section 13 (p. 111): 1, 4.

Section 14 (p. 120-121): 4, 5, 7.

Section 15 (p. 132-133): 2, 3, 4, 5, 6.
**Last Homework 4 (due May 11, 2010):**

Choose four problems, at least one from Section 22 and one from
Section 25 in Munkres:

Section 21 (p. 187): 2&3, 5.

Section 22 (p. 193-195): 3, 4.

Section 23 (p. 202): 3, 5, 6

Section 24 (p. 209): 1, 4, 5&6.

Section 25 (p. 217-218): 2, 3, 5, 6, 7.

You could compute both the volume of the unit ball in R^n as a
function of n, and the (n-1)-volume of the surface of the unit ball in R^n
as functions of n (this one I think is one of the Munkres exercises).
This would count as 2 of the exercises.
**Problems in past qualifyings related to integration coming soon:**

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Last updated: February 11, 2010