- Text: Raghavan Narasimhan and Yves Nievergelt,
Complex Analysis in One Variable, Birkhauser 2001.
- This is a graduate course in complex analysis. I will
assume that people taking this course have seen some complex analysis
before, at the undergraduate level. The goal of the course is to
show how complex analysis interacts naturally with other branches
of mathematics, such as topology and functional analysis. We will
cover the following topics: (i) the classical theory of complex
functions of a single variable, (ii) covering spaces, the monodromy
theorem and applications, (iii) Runge's theorem and the
Mittag-Leffler and Weierstrass theorems, (iv) the Riemann mapping
theorem. If time permits, we will discuss additional topics:
harmonic functions and the Dirichlet problem, Riemann surfaces and
the uniformization theorem.
- The best and only way to learn mathematics is to
do mathematics! Your weekly homework assignments are therefore
the most important part of this course. Homework will be
assigned on Thursday and is due in class on the Thursday of
the following week. I urge you to hand in all of your
assignments on time - however my policy is to allow up to TWO
late homework assignments per student, which should be turned in
at most two weeks after their due date. Any further late
assignments will not be graded. You may discuss the problems
with others and work in groups if you wish, but whatever you
turn in should be written up on your own. The extra credit
problems are optional - they can improve your grade, but you
do not need to solve them to do well in the course. People
looking for a challenge are encouraged to attempt them!
Our homework grader is Jing Zhou, and her email is email@example.com.
She has office hours on Wednesdays,
10:00 - 11:00 am, in 4310 Kirwan Hall. Please contact her with any
questions you may have about the homework grading and solutions to the problems.
- We will have two exams during the course, a midterm
and a final exam. The midterm will be held in class from 2:00
- 3:15 on Tuesday, March 24. The final exam has been
scheduled for Monday, May 18, 10:30 - 12:30. Make-up exams
will only be given for compelling and
- Grading Policy:
- The course grade will be determined by
adding your midterm score (25%) to your final exam score (40%)
and your homework total (35%). Participating in class and
working on extra credit problems is encouraged and will help
to improve your grade.
- READ THIS:
- University of Maryland course related policies. Includes a discussion of academic integrity, the honor pledge, and
accomodations for students with disabilities.
- Office Hours:
- Feel free to come by my office
and talk at any time, either by chance or by appointment.
Assignment 1 (Due 2/6/20):
Assignment 2 (Due 2/13/20):
Assignment 3 (Due 2/20/20):
Assignment 4 (Due 2/27/20):
Assignment 5 (Due 3/5/20):