Math 336, Accelerated (Honors) Advanced Calculus, Spring, 2006

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. You will have to register to read these articles, but it costs you nothing. Sometimes they are too advanced for undergrads, but some of them are accessible to you, at least in part.


The following are links to current course information.

  1. (6/02/06) The review session will be from 4-6 pm in Padelford, C36, on Sunday.
  2. (6/2/06) Map of 3656 42nd Ave Ne
    Seattle, WA 98105-5305, US
  3. (6/1/06) Sample problems for the final.
  4. (6/1/06) I've added more books to the give-away pile. Please come take a look.
  5. (5/31/06) No hw will be due on June 2. I will continue to talk about Fourier transforms and prove the inversion theorem. The class party will be held on Thursday, June 8, from 5:00 until the bugs drive us out of my back yard.
  6. (5/24/06) This week's hw will be due as listed. The final version of the paper will be due on June 5, not June 1. However if you have it completed before then I would appreciate it if you would hand it in. Also I'd like for you to send me a digital file (preferably pdf) if possible. And if you approve I will post a link to your paper on this website.
  7. (5/17/06) Nick will run a review session from 5:00-7:00 on Sunday, May 21, in Padelford C36.
  8. (5/16/06) Sample problems for the second midterm.
  9. (5/16/06) Nick will have an office hour Wednesday 2:30-3:30 pm, instead of the usual time (Thursday 1:30-2:30).
  10. (5/08/09) Nick will give an introduction to latex from 4:30-6:00 on Wednesday, May 10 in Communications B-027. Please come with questions and an outline of your paper, if possible. Refer to the REU site for information.
  11. (5/03/06) SAGE website.
  12. (5/03/06) There Are Only Nine Finite Groups of Fractional Linear Transformations with Integer Coefficients
  13. (5/02/06) Primes is in P
  14. (5/02/06)Primes is in P: A Breakthrough for "Everyman"
  15. (5/02/06) Hilbert Space Operators and Quantum Mechanics
  16. (5/02/06) Quantum Mechanics and Hilbert Space
  17. (4/21/06) The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market.
  18. (4/18/06) Sample problems for the first midterm.
  19. (4/18/06) Kyle Littlefield's 336 paper, Probabalistically Checkable Proofs and Approximating Solutions to Hard Problems.
  20. (4/18/06) The review session for the midterm will be in C36 Padelford at 3:00 pm on Saturday, April 23.
  21. (4/12/06) Three Secrets about Harmonic Functions
  22. (4/10/06) A beautiful reference for the Jordan curve theorem and a complex analytic proof of it is in Elements of the Topology of Plane Sets of Points by M. H. A. Newman.
  23. (4/07/06) The Logic of Graph-Theoretic Duality.
  24. (4/07/06) A Mathematical Excursion: From the Three-Door problem to a Cantor-Type Set.
  25. (4/06/06) The April 2006 issue of the Notices of the AMS is devoted to Kurt Godel.
  26. (4/06/06) New homepage for William Stein.
  27. (3/31/06) Nick's office hours are Tuesday at 11:30 and Thursday at 1:30.
  28. 3/27/06)This week Nick's office hours will be 11:30 am Tuesday and 3:30 pm Thursday.
  29. The Pythagoream Theorem: What Is It About, by Alexander Givental.
  30. Papers by Andrew Oldyzko on the Riemann Zeta Function.
  31. Fast Fourier Methods in Computational Complex Analysis by Peter Henrici.
  32. A reference for Euclidean geometry is Geometry: Euclid and Beyond by Robin Hartshorne.
  33. How to Make Wavelets by Robert Strichartz
  34. Euler and the Zeta Function
  35. An Elementary Problem Equivalent to the Riemann Hypothesis
  36. The Bowl Championship Series: A Mathematical Review
  37. Quantum Game Theory
  38. Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics
  39. The Index of a Constrained Critical Point
  40. Chebychev Polynomials and Regular Polygons
  41. The Geometry of Harmonic Functions
  42. Trisections and Totally Real Origami
  43. Extreme Curvature of Polynomials
  44. Math Awareness Month
  45. The Continuum Hypothesis, Part I
  46. What is a Random Sequence?
  47. (Groups, Factoring, and Cryptography
  48. Selling Primes
  49. Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis
  50. Elusive Optimality in the Box Problem, The Box Problem: To Switch or Not to Switch
  51. Peter Shor's homepage. There are many links to quantum computing on this page.
  52. Merton's Partial Differential Equation and Fixed Point Theory
  53. Financial Derivatives and Partial Differential Equations
  54. The Riemann Hypothesis
  55. Godel's Proof. This is a book review, but it contains a partial exposition of some famous theorems of Godel.
  56. Constructions Using a Compass and Twice-Notched Straightedge
  57. Simplicity and Surprise in Ramanujan's "Lost" Notebook
  58. The Factorial Function and Generalizations
  59. The Geometry of Harmonic Functions by Tristran Needham, Mathematics Magazine, April, 1994 (I have hard copies I can give you.)
  60. Trigonometries
  61. Compass and Straightedge in the Poincare Disk
  62. Non-Euclidean III.36
  63. On Prime Factors of An-1
  64. Fermat and the Quadrature of the Folium of Descartes
  65. Example paper by a familiar author.
  66. Instructions for the term paper
  67. Syllabus(pdf)

morrow@math.washington.edu