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

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

### Instructor

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

### Lectures

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.

### Textbook

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

### Syllabus

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.

### Homework

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.

### Exams

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.)

### Grading

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.

### Disabilities

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.