Math 520b - Complex Analysis - Riemann surfaces
Tom Kennedy - Spring 2010
Course home page:
www.math.arizona.edu/~tgk/520b/index.html
Instructor:
Tom Kennedy (Professor, Mathematics)
email: tgk@math.arizona.edu
Phone: 626-0197
Office: Math 204
Office hours:
will be announced in class and
posted on the web. If my office door is open, feel free to
come in even if it is not office hours. If my office door is closed, that
probably means I am proving a big theorem or taking a nap, and would
rather not be disturbed.
Text(s): I will follow
Riemann Surfaces (Graduate Texts in Mathematics) (v. 71)
by Hershel M. Farkas and Irwin Kra pretty closely.
Another reference is
Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
by Jurgen Jost.
Note that I did not order any book through the bookstore.
Prerequisites: First semester of complex analysis (520b).
This semester we will use quite a bit from the math PhD first year
graduate core courses, especially 534 and some group theory from 511.
Homework: Homework is the most important part of the course.
The only way to learn mathematics is by doing it.
I will give out homework sets approximately every two weeks.
Exams: There will not be any exams - take home or in class.
Homework collaboration:
Collaboration on homework
is encouraged, provided it is really collaboration and not simply
reproduction. To make this more precise, the rule is as follows.
You should have worked seriously on the problem before you discuss it
with others. You may then talk to each other about the problem, but anything
you write down while you are talking should be thrown away or erased
at the end of the conversation. In other words it is not fair to
take notes while you talk to someone else and then use them to
write up the solution. Feel free to ask me for hints on the homework.
Grades: I will mark problems as correct or not correct.
In the latter case I will write comments about what is wrong.
For problems that are turned in by the due date you can
redo ones that are incorrect and resubmit them.
For problems submitted after the due date you will not have the
opportunity to resubmit them.
To get an A in the course you need 40 or more correct problems.
To get an B in the course you need 30 or more correct problems.
Due dates: Each homework set will have a due date.
If you turn in the homework by the due date you an expect to
get it back fairly soon and so have a chance to redo problems.
You can turn in problems late (up to the last day of classes),
but in this case you won't have a chance to resubmit those problems if
they are marked incorrect.
Incompletes: I will follow the University and Departmental
policies on incompletes.
The only scenario I can imagine in this course
that would lead to an incomplete is if a student is sick for an
extended period at the end of the course. In this case I will
assume that you have been working problems throughout the semester
and the incomplete will only allow you to submit N problems after
the last day of classes where N is the fraction of the semester you
were sick times 40.
Academic Integrity:
Students are responsible for reading and following the University policies
regarding the Code of Academic Integrity and Student Conduct:
Code of Academic Integrity
Student Code of Conduct