# MS 411 - Complex Analysis

## Professor: Erich Friedman

### About the course:

We will meet MWF at 9:00 in
Elizabeth 318. This course will cover
material from chapters 1-7 of the text, the third edition of *Fundamentals of Complex Analysis* by Saff and Snider. Topics of the course include complex numbers, complex functions, differentiation
and integration of complex functions, series expansions of complex functions, transformations of
regions in the complex plane, and two applications: solving hard integrals of real functions, and
solving steady state problems in physics. We will be generalizing what you know about the calculus
of real functions to complex functions. The results are similar but are sometimes surprising.

### About me:

My e-mail address is efriedma@stetson.edu. My web page can be found at http://www.stetson.edu/~efriedma/. My office phone is x7552. My office hours this semester are:

- Monday 10:00 - 11:00 and 2:30 - 3:30

- Tuesday 2:00 - 4:30

- Friday 10:00 - 11:00

### About you:

You should have credit for MS203 Multivariable Calculus and MS255 Logic and
Proof. You should remember the fundamental theorems from calculus, how to find limits, how to take
derivatives and integrals, and how to structure and do simple proofs.

### About respect:

You should come to class on time and not socialize in class. In addition, it
is rude to have a cell phone go off in class. If one does, for any reason, it is mine for the rest of
the day.

### About calculations versus proofs:

Exactly half your grade will be determined by calculations
and half by proofs. Since the graded homework is 100% proofs, the quizzes and tests
will average 35% proofs (more at the beginning and less later). Most of the proofs in the course are
calculational in nature, though some are more subtle. Half of the proofs are on the homework,
allowing you lots of time to think about them, and try them repeatedly.
### About your grade:

**Calculational Homework**, given on the syllabus, will not be collected or
graded. We will spend the first part of every class period answering questions on this part of the
homework. Make sure you ask about homework problems that you are unable to do. If I don't have
time in class, please see me outside of class. You are welcome to work together on this part of the
homework, but make sure you can do it by yourself on the quizzes and tests.
**Proof Homework**, given on the syllabus, will be collected and graded.
You are not allowed to work together on these proofs. Talking about or copying homework is a
violation of Stetson's honor code. These problems can be submitted as many times as necessary to get
them correct, though problems must be submitted before the test on that material. Each problem
should be submitted separately on its own piece of paper. Each of the 100 homework problems is worth 2 points, so altogether homework is worth 2/9 of your grade.

**Quizzes** will be given every few weeks, as
indicated on the syllabus. They will cover only the most recent material, and
will be about half the period. They are mostly for your feedback. If you are doing poorly
on the quizzes, this should serve as a warning that you do not know the material as well as
I want you to. Do something about it before the test! Each quiz is worth 33 points, so altogether
the quizzes are worth 2/9 of your grade.

**Tests** will be given after chapters 2, 4, and 7, as indicated on
the syllabus. They will cover the material since the last test, and will take the entire
period. Each test is worth 100 points, so altogether the tests are worth 3/9 of your grade.

**The Oral Final Exam** will be 90 minutes long, and should be
scheduled for some time during finals week. You should be prepared to work problems, give
proofs, or explain concepts from this course. The final will be comprehensive, and will be
worth 200 points, or 2/9 of your grade.