Math 336, Accelerated (Honors) Advanced Calculus, Spring, 2010

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. (6/11/10) Term papers
2. (6/11/10) Party photos
3. (6/3/10) Outline of the proof of the Prime Number Theorem.
4. (6/3/10) Milliman video archive.
5. (6/3/10) Colloquium video archive.
6. (6/2/10) Sample problems for the final exam.
7. (5/28/10) The end-of-the-year party will be at my house 3656 42nd Ave NE, Seattle, WA 98105. It will start at 6 pm, Wednesday, June 9 and finish when the last person goes home or to sleep. Map:
   
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8. (5/21/10) Link sent by Nick (visualizing complex functions).
9. (5/10/10) Sample problems for the second midterm.
10. (4/19/10) Sample problems for the first midterm.
11. (4/12/10) Nick Trefethen "Four Bugs on a Rectangle (the biggest numbers you have ever seen)".Tuesday, April 13, 4pm, Kane Hall 220.Math Across Campus.
12. (4/4/10) MCM results: Outstanding: JERRY LI, Mark Bun, Ian Zemke; Meritorious: JANE HUNG, NICK JANETOS, MILDA ZIZYTE; Meritorious: ANDREW SHI, Dan Gnanapragasam, Tam Do.
13. (3/29/10) ) A scaled plot of exp on a circle of radius 4.2*pi. A series of plots.
14. Hyperbolic Geometry by John Milnor.
15. Jordan's proof of the Jordan Curve Theorem.
16. Cauchy Integral Theorem
17. An interview with Martin Davis. An exposition of the solution of Hilbert's tenth problem by Matiyasevich.
18. 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.
19. The Free will theorem.
20. 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
21. Primes is in P.
22. Primes is in P: A Breakthrough for "Everyman"
23. The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market.
24. A beautiful reference for the Jordan curve theorem and a complex analytic proof of it is in Elements of the Topology
25. The April 2006 issue of the Notices of the AMS is devoted to Kurt Godel.
26. Papers by Andrew Oldyzko on the Riemann Zeta Function.
27. Fast Fourier Methods in Computational Complex Analysis by Peter Henrici.
28. A reference for Euclidean geometry is Geometry: Euclid and Beyond by Robin Hartshorne.
29. The Bowl Championship Series: A Mathematical Review
30. Quantum Game Theory
31. Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics
32. Peter Shor's homepage. There are many links to quantum computing on this page.
33. The Riemann Hypothesis
34. Godel's Proof. This is a book review, but it contains a partial exposition of some famous theorems of Godel.
35. The Geometry of Harmonic Functions by Tristran Needham, Mathematics Magazine, April, 1994
36. Term papers from 2009.
37. Instructions for the term paper
38. Syllabus(pdf)