Math 336, Accelerated (Honors) Advanced Calculus, Spring, 2009

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. (6/12/09) Term papers
  2. (6/12/09) Party photos
  3. (6/12/09) Thanks very much for the $Euler's constant (x 100) gift card (to the Birdie Restaurant). K&E will appreciate it (as do I). I am having problems editing files (thanks to a computer change). When I get things ironed out I will post the papers and party photos.
  4. (6/4/09) Correction. I mistakenly wrote (log p)cos(t/2) for pit/2 + p-it/2 when I should have written 2 cos((t log p)/2). This doesn't affect the proof.
  5. (6/4/09) The final review will be on Sunday, June,7 from 3--6 in Padelford C401
  6. Map to my house:
    View Larger Map
  7. (6/02/09) MathAcrossCampus Lecture
    June 4, 3:30-4:30pm in Kane Hall 210; Reception to follow
    Title: Coalitions, voting power, and political instability
    Speaker: Andrew Gelman, Columbia University Departments of Statistics and Political Science
  8. (6/02/09) Sample problems for the final.
  9. (5/27/09) The end-of-year party will be from 6:00-? on Wednesday, June 10, at my house, 3656 42nd Ave NE. Details later.
  10. (5/27/09) Nate's office hours on Wednesday, May 27, will be 4-5.
  11. (5/12/09) Nate has reserved C-401 from 10:00--1:00 this coming Saturday, and from 3:00--6:00 this coming Sunday. He will be there on Saturday.
  12. (5/12/09) Sample problems for the second midterm.
  13. (5/5/09) Hyperbolic Geometry by John Milnor.
  14. (5/1/09) Jordan's proof of the Jordan Curve Theorem.
  15. (4/28/09) I made an error in the formula for the residue at a pole of order 2. Here's the correction.
  16. (4/27/09) Equality in the triangle inequality for integrals.
  17. (4/22/09) The review session will be 3:00--6:00 in Padelford C401 on Sunday (Nate will be there); and the room will also be reserved from 11:00--2:00 on Saturday.
  18. (4/21/09) Sample problems for the first midterm.
  19. (4/09/09) Cauchy Integral Theorem
  20. (4/08/09) An interview with Martin Davis. An exposition of the solution of Hilbert's tenth problem by Matiyasevich.
  21. (4/03/09) Nate's office hours will be Tuesday 3:30-4:30, Wednesday 5:00-6:00, Thursday 2:30-3:30, in PDL C115.
  22. (4/01/09) Added exercises: II.7: 8, 9, 10. Due April 10.
  23. (3/31/09) Nate's temporary office hours: WTh, 5:00--6:00.
  24. (3/31/09) 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.
  25. (3/30/09) The Free will theorem.
  26. 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
  27. Refer to the REU site for information about latex.
  28. Primes is in P.
  29. Primes is in P: A Breakthrough for "Everyman"
  30. Hilbert Space Operators and Quantum Mechanics
  31. Quantum Mechanics and Hilbert Space
  32. The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market.
  33. Kyle Littlefield's 336 paper, Probabalistically Checkable Proofs and Approximating Solutions to Hard Problems.
  34. Three Secrets about Harmonic Functions
  35. 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.
  36. The Logic of Graph-Theoretic Duality.
  37. A Mathematical Excursion: From the Three-Door problem to a Cantor-Type Set.
  38. The April 2006 issue of the Notices of the AMS is devoted to Kurt Godel.
  39. The Pythagoream Theorem: What Is It About, by Alexander Givental.
  40. Papers by Andrew Oldyzko on the Riemann Zeta Function.
  41. Fast Fourier Methods in Computational Complex Analysis by Peter Henrici.
  42. A reference for Euclidean geometry is Geometry: Euclid and Beyond by Robin Hartshorne.
  43. How to Make Wavelets by Robert Strichartz
  44. Euler and the Zeta Function
  45. An Elementary Problem Equivalent to the Riemann Hypothesis
  46. The Bowl Championship Series: A Mathematical Review
  47. Quantum Game Theory
  48. Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics Cantor and Sierpinski, Julia and Fatou: Complex Topology Meets Complex Dynamics
  49. The Index of a Constrained Critical Point
  50. Chebychev Polynomials and Regular Polygons
  51. The Geometry of Harmonic Functions
  52. Trisections and Totally Real Origami
  53. Extreme Curvature of Polynomials
  54. Math Awareness Month
  55. The Continuum Hypothesis, Part I
  56. What is a Random Sequence?
  57. (Groups, Factoring, and Cryptography
  58. Selling Primes
  59. Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis
  60. Elusive Optimality in the Box Problem, The Box Problem: To Switch or Not to Switch
  61. Peter Shor's homepage. There are many links to quantum computing on this page.
  62. Merton's Partial Differential Equation and Fixed Point Theory
  63. Financial Derivatives and Partial Differential Equations
  64. The Riemann Hypothesis
  65. Godel's Proof. This is a book review, but it contains a partial exposition of some famous theorems of Godel.
  66. Constructions Using a Compass and Twice-Notched Straightedge
  67. Simplicity and Surprise in Ramanujan's "Lost" Notebook
  68. The Factorial Function and Generalizations
  69. The Geometry of Harmonic Functions by Tristran Needham, Mathematics Magazine, April, 1994
  70. Trigonometries
  71. Compass and Straightedge in the Poincare Disk
  72. Non-Euclidean III.36
  73. On Prime Factors of An-1
  74. Fermat and the Quadrature of the Folium of Descartes
  75. Example paper by a Nick Reichert.
  76. Instructions for the term paper
  77. Syllabus(pdf)

morrow@math.washington.edu