Math 336, Accelerated (Honors) Advanced Calculus, Spring, 2004

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 libraray 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. 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. 96/14/04) The Riemann Hypothesis Solved?
  2. (6/10/04) In answer to a question at the party: Chaitin's "Omega number" is (informally) the probability that a randomly chosen input is in the domain of a universal prefix-free Turing machine. (Does the machine "halt"?). It's an example of a number with the property that it takes a larger and larger program to compute more and more digits.
  3. (6/10/04) The proof of the twin primes conjecture has an error.
  4. (6/7/04) Twin Prine Conjecture
  5. (6/7/04) Homework grades
  6. (5/28/04) The Continuum Hypothesis, Part I
  7. (5/27/04) Sample problems for the final exam.
  8. (5/27/04) Here's the plan for the rest of the quarter. The homework from chapter 5 will be cancelled. To be clear, no problems from chapter 5 are due this week or next. Spend your time working on your paper and the sample problems for the final. These problems will be posted before next Tuesday. I will continue lecturing on the zeta function and the Riemann hypothesis next week. There will be an end-of-the-year party at 5:00 on Wednesday, June 9, at my house. Details will follow.
  9. (5/20/04) Sample problems for the second midterm.
  10. (5/13/04) We will skip section 4.4. I will lecture on the gamma function, Riemann's zeta function, the prime number theorem, and the Riemann hypothesis.
  11. (4/30/04) What is a Random Sequence?
  12. (4/30/04)Groups, Factoring, and Cryptography
  13. (4/30/04) Selling Primes
  14. (4/22/04) Sample problems for the first midterm.
  15. (4/16/04) Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis
  16. (4/12/04) Elusive Optimality in the Box Problem, The Box Problem: To Switch or Not to Switch
  17. (4/12/04) Peter Shor's homepage. There are many links to quantum computing on this page.
  18. (4/9/04) Merton's Partial Differential Equation and Fixed Point Theory
  19. (4/9/04)Financial Derivatives and Partial Differential Equations
  20. (4/9/04) The Riemann Hypothesis
  21. (4/9/04) Godel's Proof. This is a book review, but it contains a partial exposition of some famous theorems of Godel.
  22. (4/7/04) Constructions Using a Compass and Twice-Notched Straightedge
  23. (4/7/04) Simplicity and Surprise in Ramanujan's "Lost" Notebook
  24. (4/7/04) The Factorial Function and Generalizations
  25. (4/7/04) Casey's Thursday office hour this week will be at 12:30. He will formally schedule his office hours in this Friday's quiz section.
  26. (4/6/04) The Geometry of Harmonic Functions by Tristran Needham, Mathematics Magazine, April, 1994 (I have hard copies I can give you.)
  27. (4/6/04) Primes is in P: A Breakthrough for "Everyman"
  28. (4/6/04) Trigonometries
  29. (4/5/04) Compass and Straightedge in the Poincare Disk
  30. (3/29/04) Non-Euclidean III.36
  31. (3/26/04) Creating More Convergent Series
  32. (3/26/04) On Prime Factors of An-1
  33. (3/26/04) Fermat and the Quadrature of the Folium of Descartes
  34. (3/26/04) Term paper written by Noah Giansiracusa in Spring, 2003 and revised and written in tex in October, 2003.
  35. (3/26/04) Instructions for the term paper
  36. (3/26/04) Syllabus(pdf)

morrow@math.washington.edu