Math 6220 - Complex Analysis
Instructor: Ken Bromberg
Office: JWB 303
Meeting place and time: MWF
12:55 - 1:45 in JWB 308 and T 3:30 in LCB 323
There will be no class on Tuesday,
January 16 and Tuesday, February 20 (the days after the MLK and
President's day breaks).
Text: Lars V. Ahlfors, Complex Analysis, 3rd Ed. Although
the book is quite expensive you can almost surely find a much cheaper
used copy on Amazon or abe.com.
Course description: This will
be a standard first year graduate class in complex analysis and it will
prepare students for the complex analysis half of the analysis prelim.
For most of the course we will probably follow the text but in some
places I will take a different approach. The main novel feature of the
course will be that we will use 2-dimensional hyperbolic geometry to
prove some of the standard compactness results for holomorphic maps.
Homework: There will be weekly
homework assignments. Some subset of each assignment will be graded.
will not be accepted.
|Wednesday, January 17
1.1: 1,2,3; 1.2: 1,2,3,4 (don't hand in)
1.4: 3; 1.5: 1; 2.1: 2; 2.2: 4
|Wednesday, January 24
1.2: 1, 3, 4, 7; 1.4: 2, 3
|Wednesday, January 31
2.4: 6, 7, 8
|Wednesday, Febuary 14
problems on conformal metrics
|Wednesday, Febuary 28
2.3: 2, 4
3.2: 2, 4
|Friday, March 16
5.3: 1, 3 (Do as many of these as you can bear.)
Problem sets and problem sessions: Each
problem will be assigned to a student to write up in LaTeX with each
week one student responsible for compiling all the solutions it a
single solution set which I will post. Tuesday's
class will be a problem session. The student who prepared a particular
problem will have the opportunity to present their problem at the
board. This is strongly encouraged but not mandatory nor is attendence
to the problem session mandatory. If there is not a student
volunteer I will do the problem. The LaTeXing assignments can be
Final: The final is 1-2:30 PM
on Friday, April 27. It will be
replica of the complex analysis half of the analysis prelim.
Grades: Your grade will be
determined by your homework scores and the final. Roughly speaking if I
think you have a good chance of passing the prelim you will get an A.