http://math.okstate.edu/people/lebl/osu5283-s20/

**Lectures:** MWF 10:30am–11:20am,
MSCS 509

Jiří Lebl
**Web:** http://math.okstate.edu/people/lebl/
**Office:**
MSCS 505

**Office hours:**
M 3:30–4:20pm MLSC main room (5th floor of library),
WF 2:30–3:20pm, my office,
and by appointment at other times.

**Office phone:** (405) 744-7750

**Email:**
lebl at okstate dot edu

The main text is a set of notes for the class. These will be updated throughout the semester and they are work in progress. Make sure to reload the pdf regularly. It is probably mostly done for a few weeks out, but definitely not yet till the end of the semester so it will still change quite a bit. If you print it out, don't print out more than a little bit ahead to save paper.

Alternative suggested books:

David Ullrich,
*Complex Made Simple*, 2008, American Mathematical Society.

The link above is to the AMS website and you can browse a part of the book online.

List of errata/notes/amplifications:
David's own,
from Harold Boas,
and my list.

Lars Ahlfors, Complex Analysis, 3^{rd} ed., 1979, McGraw-Hill, 1979.
*Classic, though perhaps not as easy to read.*

Walter Rudin, Real and Complex Analysis, 3^{rd} ed., 1986, McGraw-Hill.
*Does both measure theory and complex analysis in one book.*

John B. Conway, Functions of One Complex Variable I, 2^{nd} ed., 1978, Springer.
*A standard book for this sort of course, though it sometimes misses the forest for all the trees. The two volume set is a good reference set for all things Complex Analysis.*

Ralph P. Boas, Harold P. Boas, Invitation to Complex Analysis, 2^{nd} ed., 2010, American Mathematical Society.
*A very well-written introduction.*

Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka,
*A First Course
in Complex Analysis*.
*An undergraduate proof based
complex analysis course. It might be good to consult for basic concepts if
the other books are too fast. The main advantage is that it is free
online.*

We will be using Gradescope (http://gradescope.com)
for all graded work (homeworks and exams). Create an account. I will provide (in class) an *Add code*
that will add you to the class. Homeworks will be announced here (see below), and you will upload
your homeworks to Gradescope. Exams will also be graded on gradescope.

The grading scheme is given below:

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.2 \times \text{(Exam 1)} \\ + 0.2 \times \text{(Exam 2)} + 0.4 \times \text{(Final Exam)} \end{multline}$

To account for bad exam day, etc..., an alternative grade will be computed as follows

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.1 \times \text{(Exam 1)} \\ + 0.1 \times \text{(Exam 2)} + 0.58 \times \text{(Final Exam)} \end{multline}$

A second alternative (to account for bad final day) will be follows

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.3 \times \text{(Exam 1)} \\ + 0.3 \times \text{(Exam 2)} + 0.18 \times \text{(Final Exam)} \end{multline}$

The higher of the three will be used for your grade. Notice that in the alternative schemes, the score does not sum to 100 percent. That is on purpose! You should count on the first scheme, the second scheme is only to account for things going terribly terribly wrong on one of your exams.

**Exam 1: Monday, Feb 17, (MSCS 423A 5:30pm-7:30pm), ** 20% of your grade.

**Exam 2: Wednesday, Apr 8, (MSCS 423A 5:30pm-7:30pm), ** 20% of your grade.

**Final exam: (as per university schedule)
Wednesday, May 6th, 10:00am–11:50am, same room as class, **
40% of your grade,
(Comprehensive, think of the final exam as half exam 3 and half comprehensive final)

**Exam Policies:** No books, calculators or computers allowed on
the exams or the final. **One sheet (letter sized, A4 is pushing it, legal is right out) of notes allowed on the exams,
feel free to use both sides.**

Assigned weekly (some weeks may be skipped) on this page. To be submitted on gradescope. Once you write your homework either as PDF or scanned pages. (If you use your android phone for scanning, I recommend Clear Scanner over CamScanner, which kind of sucks but everyone uses for some reason. I even use Clear Scanner to take pictures of boards and save them as PDF.) Though really I recommend typing your homework in LaTeX to begin with and not scanning it at all, and there is extra credit for this.

The homework will be posted on Overleaf. If you don't have an account there you should make one, it is a very good way to edit LaTeX on any machine without installing anything and moving your files around. You don't have to use Overleaf to type/edit the homework; you can just click the link and print it out, or download the LaTeX. If you do want to edit on Overleaf, then (as long as you have an account) after you click on the link below, click "Menu" and "Copy Project".

- Homework 1, due Friday Jan. 24.
- Homework 2, due Friday Jan. 31.
- Homework 3, due Saturday Feb. 8.
- Homework 4, due Saturday Feb. 15.
- Homework 5, due Saturday Feb. 22 (half a homework this week :).

Worth 20%, spot checked (*spot checked* means: some spot(s) of each
homework checked, and all will be collected). Part of the grade is simply for
turning the homework in. Lowest 2 homework grades dropped (so no late homeworks).
There will be extra credit (approximately 5–10 percent of the homework grade)
for homework that is **TYPED UP** using LaTeX.
Since you are learning to be mathematicians, learning to type math in LaTeX is
indispensible (you'll need LaTeX anyway to type up the various theses that you'll
need to get through in our program). Plus, not only does it make it easier to read for me,
you'll be surprised at how much better does it actually make your proofs mathematically.

No makeup or late homework (two lowest are dropped anyhow), but feel free to turn homework in **early**
if you you cannot for whatever reason turn it in on time.
For exams, there will be
reasonable accommodation if you have a valid and **documented** reason, and the
documentation is provided **in advance** unless absolutely impossible. If
you have a university approved (see the syllabus attachment) final
conflict exam, you must tell me at least two weeks befre the final exam week, so
so that we can figure out what to do.

See the official syllabus attachment, for some more information.