For a copy of the course syllabus, click here

Homework 1 (to be turned in Monday, September 8)

• Page 31, #2.

• Page 37-38, #11, 15, 18.

• Page 42, #2-8 parts a,b and f only.

• Page 43, #12, 14.

• Page 50, #1,2,3.

• Page 56-57, #1,2,3,4,12.

• Page 63-65, #4,6,24.

Homework 2 (due Monday, September 22)

• Page 70-71, #2, 4, 8.

• Page 77-78, #2, 4, 6, 12.

• Page 115-177, #1, 2, 5, 22.

• Page 123, #1, 3, 4, 6.

• Page 136-137, #1, 2, 3, 7, 10, 14, 16.

• Page 159-160, #1, 2, 3, 4, 5.

• *** Your first exam will be Monday, Sept. 15 ***

• I have an old copy of an exam I gave when I taught at Berkeley. Click here for a copy of it.

• The first exam will cover material up to and including page 86.

Homework 3 (due Monday, October 6)

• Page 170-171, #1, 2, 4, 6, 8, 12, 14.

• Page 178-179, #1, 2, 4, 6.

• Page 199-203, #1, 2, 3, 4, 10, 14, 18.

Homework 4 (due Monday, October 20)

• Page 212-213, #2, 4, 6, 8, 10.

• Page 219-220, #2, 3, 8.

• Page 239-241, #2, 4, 6, 10, 20.

• Page 250, #4.

• Page 258-259, #2, 8.

• Page 267-268, #2, 4, 6, 9.

• Page 276, #2, 4, 6.

• About two years ago I worked on a project with Andrew Granville, Robin Pemantle, and our own Prasad Tetali, and a certain identity that needed to be proved came up in our work. Using my knowledge of complex analysis, I found the needed proof. It just used some basic facts in complex analysis, and you should now know enough to understand it (apart from mention of `Rouche's theorem', which we will get to later in the course). Click here for a copy of the note I sent to my coauthors.

• Click for a nice writeup of the proof of the Cauchy-Goursat theorem for a triangle (this writeup is not by me).

Homework 5 (due Wednesday, Nov. 5).

• Page 285-286, #2, 3, 4, 11.

• Page 290-291, #1, 2, 6.

• Page 301, #2, 4.

• Page 313-314, #2, 3, 7.

• Page 317, #1,2,3,4.

• *** Your next exam has been scheduled for Monday, November 3 ***

Homework 6 (due Friday, Nov. 21)).

• Page 325-326, #2, 4, 6, 8.

• Page 336, #2, 6.

• Page 344-345, #2, 4, 10.

• Page 354, #2, 4.

• Page 364, #6, 8.

• Click here for the video ``Mobius Transformations Revealed''.

Homework 7 (to be turned in with the final exam).

• Page 383, #10.

• Page 395, #15, 16, 17.

• Page 403-404, #2, 3, 4.

• Page 416, #1, 2.

*** Your final exam is set for Wednesday, Dec. 10 from 8:00-10:50 am in Skiles 268 ***

I will hold one extra study session on Monday at 1:00 in the Skiles lounge (room 236). If there is a classroom available, then we can go there instead.