Math 336, Accelerated (Honors) Advanced Calculus, Spring, 2012

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.


The following are links to current course information.

  1. Party photos
  2. Papers
  3. Sample problems for the final.
  4. Interesting article on the Prime Number Theoerem.
  5. I will have a party at my house at 6:00 pm on Thursday, June 7 to celebrate the end of a great year.
  6. Map to my house
  7. Sample problems for the second midterm.
  8. Eric Nitardy has scanned in the first two chapters of Whittaker and Watson.
  9. Sample problems for the first midterm.
  10. The Logarithmic conjugation theorem.
  11. The tangent as a conformal map from a strip to the disk.
  12. A proof of a special case of the Cauchy integral formula.
  13. Calculation of residues
  14. A proof of the Cauchy Integral theorem.
  15. Summary of Cauchy-Riemann equations.
  16. Term papers from 2011
  17. Link by way of Nick Janetos (visualizing complex functions).
  18. Hyperbolic Geometry by John Milnor.
  19. Jordan's proof of the Jordan Curve Theorem.
  20. Cauchy Integral Theorem
  21. 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.
  22. 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
  23. Primes is in P.
  24. Primes is in P: A Breakthrough for "Everyman"
  25. The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market.
  26. A beautiful reference for the Jordan curve theorem is in Elements of the Topology of plane sets of points by M.H.A. Newman.
  27. Papers by Andrew Oldyzko on the Riemann Zeta Function.
  28. Fast Fourier Methods in Computational Complex Analysis by Peter Henrici.
  29. A reference for Euclidean geometry is Geometry: Euclid and Beyond by Robin Hartshorne.
  30. Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics
  31. The Riemann Hypothesis
  32. The Geometry of Harmonic Functions by Tristran Needham, Mathematics Magazine, April, 1994
  33. Instructions for the term paper
  34. Syllabus(pdf)

morrow@math.washington.edu