Math 361 (Theory of Functions of a Complex Variable), Spring 2019

This is the main page for section 53515 of Math 361.


I am Andrew (Andy) Neitzke. You can contact me at My office hours are Tuesday 1:00-2:00p, or by appointment.


Lectures are Tuesday and Thursday, from 9:30a to 11:00a, in RLM 5.120. There will be a total of 30 class days, of which 2 will be taken up by midterm exams (see below), so that there are 28 lecture days. My lecture notes will be posted here.


The main course text is Complex Variables and Applications, by Brown and Churchill.


This course is an introduction to complex analysis in one variable, which mainly means the properties of holomorphic functions of one complex variable: their series representations, differentiation and integration, and residue calculus. We will cover the material in chapters 1-7 of Brown and Churchill, and hopefully also some of chapters 8-9.

The course is targeted primarily at the practical applications of the theory, and only secondarily at purely theoretical development. Nevertheless I intend to give proofs of all the important statements.


Problem sets will be assigned weekly, due on Tuesday at the beginning of class, or in the mail slot outside my office door (RLM 9.134) no later than 9:00a Tuesday. You are strongly encouraged to work together on the problems. However, you must write up your own solutions, independently.

Late homework cannot generally be accepted, because it creates extra work for the already-overworked grader.

The problem sets will be posted on Canvas.


There will be two midterm exams, and a final exam which is comprehensive, covering all the material from the course. These exams may be either in-class or take-home exams (to be decided early in the semester, depending on the preferences of the class and how the class goes.)


Homework will count 20%, each midterm 25%, and the final exam 30%. In addition, if your final exam grade is higher than at least one of your midterm grades, then I will replace your lowest midterm exam grade by your final grade in computing your average.

The mapping from averages to letter grades is not fixed in advance. I can promise that it will not be stricter than 90=A, 80=B, 70=C, 60=D, and there will be a curve as warranted.


The University of Texas at Austin provides upon request appropriate academic accommodations for qualified students with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-4641 TTY.