- Text: Raghavan Narasimhan and Yves Nievergelt,
*Complex Analysis in One Variable*, Birkhauser 2001. - Content:
- 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.

- Homework:
- 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 after class on the Thursday of
the following week. I urge you to submit 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 jingzhou@umd.edu.
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.

- Exams:
- We will have one midterm exam during the course. The
midterm will be a take home exam, beginning on
**Tuesday, March 31**at**2:00 pm**, and due by 12:00 noon on the following day. Make-up exams will only be given for*compelling*and*documented*reasons.

- Grading Policy:
- The course grade will be determined by
adding your midterm score (50%) to your homework total
(50%). 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.

- Remote Teaching:
- Starting with week 8 of the class I will be posting my Lecture Notes online.

Assignment 2 (Due 2/13/20): ps, pdf, tex

Assignment 3 (Due 2/20/20): ps, pdf, tex

Assignment 4 (Due 2/27/20): ps, pdf, tex

Assignment 5 (Due 3/5/20): ps, pdf, tex

Assignment 6 (Due 3/12/20): ps, pdf, tex

Midterm exam (3/31/20):
ps,
pdf

Solutions to the midterm:
ps,
pdf

Assignment 7 (Due 4/9/20): ps, pdf, tex

Assignment 8 (Due 4/16/20): ps, pdf, tex

Assignment 9 (Due 4/23/20): ps, pdf, tex

Assignment 10 (Due 4/30/20): ps, pdf, tex

Assignment 11 (Due 5/7/20): ps, pdf, tex