Math 428: Topics in Complex Analysis

September 3: Problem set 1 due
Greene and Krantz, chapter 7: 1, 6, 7, 8, 14, 20, 23, 25
Note: While problem 6 mentions problem 5, it does not logically require its conclusions. You do not need to learn about differential forms to do this problem.

September 12: Problem set 2 due
Greene and Krantz, chapter 7: 30, 33, 34, 36, 38, 39, 41, 46
Our September 12 and 15 classes are cancelled. Because of Hurricane Ike, faculty have been instructed that no assignments should be due between September 13 and September 20. Therefore Problem sets 2 and 3 do not have to be turned in. If you have already done the problems, you may show them to me to get feedback, but they will not count toward your grade.

September 19: Problem set 3 due
Greene and Krantz, chapter 7: 50, 51, 53, 68, 69, 70

September 26: Problem set 4 due
turn in three of the questions from Problem sets 2 or 3 as well Greene and Krantz, chapter 9: 1, 5, 8
For Problem 5, the part `B has a continuous extension to P only if P is not an accumulation point' will be graded as extra credit

October 3: Problem set 5 due
Greene and Krantz, chapter 9: 6, 11, 12, 13, 14
For problem 11, the limits of integration should run from a to b.

October 10: Problem set 6 due
Greene and Krantz, chapter 10: 9, 11, 13

October 17: Problem set 7 due
Greene and Krantz, chapter 10: 1, 2, 8, 17d; chapter 15: 3, 8, 9

October 31: Problem set 8 due
Green and Krantz, chapter 13: 3, 4; chapter 15: 4, 5, 13, 14

Proof of the Functional Equation for the Riemann Zeta function, mentioned in Wednesday's class but to be presented later

Origins of elliptic integrals, from class of November 5

November 7: Problem set 9 due
Green and Krantz, chapter 16: 2, 3, 4, 6

November 14: Problem set 10 due

November 26: Problem set 11 due

December 5: Problem set 12 due