## Applied Complex Analysis Math 120B, Spring 2014:

Office hours: MW 11-12 and by appointment (just talk to me after class or send me an email)

Office: APM 5256, tel. 534-2734

Email: hwenzl@ucsd.edu

Course book: Complex variables and applications, eight edition, J.W. Brown and R.V. Churchill

Course Material We plan to cover most of the material of chapters 7 until 12 of the course book. In particular, this will include applications of the residue theorem, conformal mappings and their applications, Schwarz-Christoffel transformations and integral formulas of Poisson type.

Option 1: Final 40%, each midterm 20%, homework 20%

Option 2: Final 60%, best midterm 20%, homework 20%

Exam dates: First midterm: April 30, second midterm: May 28

Teaching assistant: Jamess Eldred Pascoe, APM 6351, office hours:M4-6

Homework assignments

Homework is to be turned in by Wednesday 5pm. There is a dropbox in the basement for Math 120B.

for 4/9: p267: 3, 5, 6, 8, p275: 2, 5, 8, 10

for 4/16: p286: 1, 4, p296: 1(c), 2, 3(this is similar to what I did in class for curves which lie in the half plane Re(z)>0), 5, 6, 8,9.

for 4/23: p286: 2, 6, p306: 3, 6, 10

for 4/30: need not be turned in, but relevant for midterm: p. 317: 2, 5, 10, 12, p. 324: 1, 4

for 5/7: p324: 9, p 329: 1, 3, p335: 5 (a look at Ex 4 might be helpful), p340: 5, p 346: 1, 5.

for 5/14: p362: 2, 3, p370: 3, 4, 5, 6, 8

for 5/21: p382: 2, 5, 6, 7, p388: 3, 4, 7

for 6/4: p 398: 4(without the question about fluid pressure), 6, 7, p. 414: 1, 4, p. 444: 1 (hint: extend F to an odd function on R). p435: 2 (you may have to use some of the antiderivatives and identities we used on Monday, see also the text in Section 124), 8, p444: 2

Important for final: The material for the final will be cumulative, with an emphasis on the material later in the quarter. The problems will be similar to homework problems or to problems in the practice exams. There will be an additional office hour on Tuesday, 3-4. You will be allowed to have a cheat sheet (up to two sheets, both sides can be used), but no books or calculators.

Below is a practice exam. While the actual exam will look somewhat different, it should still be useful to test for yourself how well you already understand the material. In case you can not get the solution right away, think about the problem for at least 10 minutes before looking at the solution: