Math 331 Class Page
Spring, 2010

Here is the syllabus.

#1 (assigned 1/13/10).
READ Chapters I and II (pp. 1-28) at least once by 1/20.
Notice that I said "at least once". Much of it should be review.

Here is a Mathematica notebook illustrating an important property of stereographic projection. The projection differs from that discussed in the book: it's done from the south pole of the unit sphere.

HERE is the first homework set, due February 5.

#2 (assigned 1/29/10).
READ pp. 30-43, 100-102 by 2/1.

HERE is a solution set to the first homework.

HERE is the second homework set, due February 19.

#3 (assigned 2/18/10).
READ pp. 58-99 lightly, mainly for reference. My treatment of these topics will differ from Conway's and sometimes proceed in a different order.

The MIDTERM will take place on Thursday, March 18. Topics and format TBA. It will last the whole period.

HERE is the solution set to homework #2.

New homework (available HERE), assigned February 24, due March 15. This set will count as much as 2 normal sets.

HERE is a technical lemma we will need in the proof of the general form of the Cauchy Integral Formula.

#4 (assigned 3/4/10).
READ pp. 103-110, 112-120, 123-126 by 3/15/10.

The MIDTERM on 3/18 will cover metric space topology, properties of power series, and the material in section IV.3 except the Maximum Modulus Principle, which we will do later. It will have 3 or 4 questions and last the whole period. It will be OPEN (TEXT)BOOK and OPEN NOTES. 'Notes' means class notes, notes on your reading, homeworks, and homework solution sets.

The solution set to homework set #3 is HERE.

A solution set for the midterm is HERE.

HERE is the new homework, assigned 3/22, due 4/2.

#5 (assigned 3/29/10).
READ pp. 128-132, 142-150, 151-154, 160-163 by 4/5/10.

HERE is a Mathematica notebook that demonstrates the argument principle in a simple case. It traces the image of the circle |z|=2 under the mapping
f(z) = z/(z^2-1).

HERE is  a solution set to homework #4.

HERE is homework set #5, due April 16.

HERE is a Mathematica notebook that illustrates some features of the mappings (z^2-1)^(1/2) and its inverse, (z^2+1)^(1/2).

#6 (assigned 4/14/10).
READ pp. 164-173, 195-201, 252-255, 256-260 by 4/21/10.

The final homework set will be handed out 4/19 and be due May 3 (the last class day). It will have 10 problems and be worth 200 points. I'll get it posted by the end of this week.

HERE is homework set #6, due May 3 (last day of class).

HERE is a solution set to homework #5. I think I got all the typos out!

In case you're interested, HERE are the 'math' slides for tomorrow's applied math talk, and HERE are some pretty pictures for it.

The final exam will take place on Thursday, May 6, from 8 AM to 11 AM in 223 Votey. The exam will have FIVE 'regular' and TWO extra credit problems. (Some problems may have more than one part.) The test will be OPEN TEXTBOOK and OPEN NOTES. 'Notes' means: your class notes, any notes from your reading (whether or not from the textbook), old homeworks, and solution sets. You'll have the solutions to homework #6. I'll say something about topics later this week.

We will do teaching evaluations in class on Monday, May 3.

The final exam's 5 regular problems will consist of 2 residue integrals, 1 conformal mapping, and 2 problems about sequences and series of analytic functions.

HERE is a solution set to homework #6.

HERE is a solution set to the final.