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MATH 314 --- Spring 2011

Analysis III: Complex Analysis and Probability

MWF 9:30 -- 10:20 , 206 Eckhart

Greg Lawler , 415 Eckhart,

e-mail: lawler at math.uchicago.edu

Office Hours for this course: 4:30 -- 5:30 Tuesdays and by appointment

### Text

There will be no text for the course. For complex variables, I will be
using some of the standard texts: Rudin, Real and Complex Analysis; Lang,
Complex Analyis; Ahlfors, Complex Analysis. However, I will not follow
any one so much that you should feel compelled to purchase the book.
For probability, I will distribute notes.
### Chalk

This web page will not be updated during the quarter.
There will be a CHALK site for this course. This is where homework assignments,
the probability notes, and any class announcements will appear.
### Plans for the course

The first (approximately) half of this course will be an introduction
to complex analysis. I will be going at a relatively fast pace appropriate
for students who have had an undergraduate course in the subject. Students
who do not have this background and want more detail
are welcome to sit in on my undergraduate
course Math 270, which is 10:30 -- 11:50 TT.
There will be an in-class midterm on complex variables during the sixth
week of class. Students who do not do sufficiently well on this exam will
be asked to sit for my undergraduate class final exam during the final
exam period.

The second half of the course will be an introduction to probability. The
final week will bring the two subjects together by discussing the Dirichlet
problem and harmonic functions. There will be a take-home final
problem set on the second half of the material in lieu of an in-class
final examination.

### Assignments

There will be weekly homework exercises due on Wednesdays. That
assignment will cover material from the lectures of the previous
week. There will be a midterm in the sixth week of class on complex
variables and a take-home final problem set.
Students may work together on homework exercises EXCEPT FOR THE FINAL
PROBLEM SET, but must write-up their work separately.