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\title{Math 336, (Honors) Advanced Calculus}
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\begin{tabular}{lllll}
Lecture:& MTWTh 10:30, MEB 237\\
Instructor: & Jim Morrow\\ 
Phone: &543-1161\\
E-mail: &\texttt{morrow@math.washington.edu}\\
Web address: &
\texttt{http://www.math.washington.edu/\~{}morrow/336\_10/336.html}\\ 
Office Hours: &MW 9:30-10:20, C439 Padelford\\
Quiz Section: & F10:30, MEB 237\\
TA: & Chad Klumb\\
Office Hours: &TBA; C115 Padelford\\
E-mail: &\texttt{cklumb@gmail.com}\\
Text: & {\em Complex Analysis} (required)\\
Author: & Theodore Gamelin
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Math 336 is an introduction to complex analysis.  I plan to cover the
basics: complex numbers, complex functions, analytic and harmonic
functions, sequences, series, elementary functions, complex integration,
Taylor and Laurent series, residue calculus,  and
harmonic functions.  I will give a complete proof of the prime number
theorem as the highlight of the course.  This proof is a beautiful
version of what was once an extremely complicated argument.

As part of the course, I will ask you to write an expository paper on
a mathematical topic of your choosing.  This paper should read somewhat
like a book review.  The source material should come from a mathematical
journal.  During the quarter, I will post links on the 336 website to  papers
that I think are suitable.  I have posted some links on the 334 and 335
website that are also recommended. I will also suggest journals that have
articles that can be read by students at your level.  If none of the
suggestions I make appeal to you, I am open to your own suggestions.
The topics need not be related to the material of 334/5/6 (for example
combinatorics or number theory might appeal to you). In
any case, I want you to discuss your choice with me before proceeding.
I'd like you to make this choice before May 7 and submit a draft paper on
May 20.  The final paper will be due on June 3.  This paper will count
10\% of your course grade.

Homework will be collected at regular intervals and will 
count 20\% of the course grade. You might find the homework this quarter
to be harder than previous quarters.  We are starting to function at the
senior, early graduate, level now. We will rely on our knowledge of
basic results in real analysis.  Don't be discouraged if
you find them difficult. 

There will be two 50-minute midterm
tests which will each count 20\% of the course grade.  The
midterm tests will be closed book but
you will be allowed to bring notes on one side of a notebook size sheet of
paper.  There will be a two hour closed book final exam which will count
30\% of the course grade.  For the final you will be allowed to bring notes
on both sides of a notebook size sheet of paper.  No calculators will be
allowed on tests. 

Here are the homework assignments :
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\begin{tabular}{ll}
DATE & ASSIGNMENT (from Gamelin)\\ \hline
Apr. 2 & I.1: 6, 7; I.2: 6, 7; I.7: 4, 5; I.8: 2; II.1: 6, 14, 19\\
Apr. 9 & II.2: 4, 6; II.3: 3, 4, 5, 6, 8; II.4: 7, 9; II.5: 2, 5, 8; II.7:
8, 9, 10\\ 
Apr. 16 & III.1: 6; III.3: 2, 4; III.4: 1, 3; III.5: 5, 7, 8\\
Apr. 23 & IV.1: 8, 9; IV.2: 5; IV.3: 1, 3, 6; IV.4: 2; IV.5: 1, 2\\
Apr. 26 & {\bf MIDTERM}\\
Apr. 30  &  IV.6: 2; V.2: 7; V.3: 4; V.4: 13, 14; V.6: 6\\
May 7 & V.7: 7, 10; VI.1: 7; VI.2: 10, 11, 12; VII.1: 3ab, 6\\
May 14 & VII.2: 1, 2, 5, 9; VII.3: 2; VIII.1: 5, 6; VIII.2: 2, 3\\
May 17 & {\bf MIDTERM}\\
May 21 & VIII.3: 1; VIII.4: 1, 2; X.1: 2, 4, 6\\
May 28 & X.2: 2; X.3: 1, 6; XIII.3: 3, 4, 6, 7\\
June 4 & XIV.1: 2; XIV.3: 1, 4\\
\hline
June 7 &{\bf FINAL EXAM} (8:30-10:20 a.m.)\\
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May 31 is a holiday.

{\bf These assignments are due at the beginning of class on the due date}.


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