Math 336, Accelerated (Honors) Advanced Calculus, Spring, 2011

This is the Math 336 homepage. Consult it from time to time to find useful information for the course. I will include links to the syllabus and other course information. There are links to papers that you might want to use for your term report. I will add links throughout the quarter. Electronic math journals can be accessed through the University library link. American Mathematical Monthly and Mathematics Magazine can be accessed this way. The Mathematical Intelligencer is available in the Mathematics Research Library. The Notices of the American Mathematical Society also has expository articles.

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The following are links to current course information.

1. (6/14/11) Papers
2. (6/9/14) Party photos.
3. Map to my house.
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4. Sample problems for the final.
5. Sample problems for the second midterm.
6. Calculation of residues
7. Sample problems for the first midterm.
8. (4/12/11) A corrected proof of the Cauchy Integral theorem.
9. (4/1/11) Summary of Cauchy-Riemann equations.
10. (3/30/1) Will's office hours: Monday 1:30-2:30 and Friday 11:30-12:30.
11. Term papers from 2010
12. Link by way of Nick Janetos (visualizing complex functions).
13. Hyperbolic Geometry by John Milnor.
14. Jordan's proof of the Jordan Curve Theorem.
15. Cauchy Integral Theorem
16. Here's a link to Don Marshall's Math 534 homepage. He has written a set of notes and also posted problems and links to some software for visualizing complex functions. The prerequisites for the graduate course are exactly what you already know. There is a lot of overlap between 336 and parts of 534 and 535. Here's a link to Don's 535 homepage.
17. The Mathematics Research Library has purchased all of Springer's e-books published since 2005. Go to the link Springer e-books to see what is there. Here are some that are relevant to Math 336: Geometric Function Theory, Complex Analysis, Complex Variables with Applications
18. Primes is in P.
19. Primes is in P: A Breakthrough for "Everyman"
20. The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market.
21. A beautiful reference for the Jordan curve theorem and a complex analytic proof of it is in Elements of the Topology
22. Papers by Andrew Oldyzko on the Riemann Zeta Function.
23. Fast Fourier Methods in Computational Complex Analysis by Peter Henrici.
24. A reference for Euclidean geometry is Geometry: Euclid and Beyond by Robin Hartshorne.
25. Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics
26. The Riemann Hypothesis
27. The Geometry of Harmonic Functions by Tristran Needham, Mathematics Magazine, April, 1994
28. Instructions for the term paper
29. Syllabus(pdf)