Math 335, Accelerated (Honors) Advanced Calculus, Winter, 2007

This is the Math 335 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.

The following are links to current course information.

  1. (3/9/07) The review session is scheduled for 2:00 pm to 5:00 pm on Saturday, March 10, in Padelford, C401.
  2. (3/8/07) Don't forget that daylight savings time begins on March 11.
  3. (3/7/07) Don Marshall has allowed me to link to his homepage. He has written a beautiful set of notes and also developed some very nice software.
  4. (3/7/07) At long last, the promised exposition of the alternating harmonic series.
  5. (3/7/06) Sample problems for the final exam.
  6. (3/6/07) The location of the make-up quiz section is not yet known. Please go to Owen's office at 4:30 and then from there to the site.
  7. (3/2/07) Owen apologizes for missing quiz section on Friday. The quiz section will be made up, most likely at 3:30 on Tuesday. I'll ask you on Monday if there is a better time. You may turn in your homework to me on Monday or to Owen on Tuesday.
  8. (2/28/07) The homework from section 8.5 is postponed and will now be due on 3/9/07.
  9. (2/23/07) The review session will be Sunday, February 25, in Padelford c401 from 5:00-8:00 pm.
  10. (2/21/07) The homework for section 8.2 will be postponed to next week. The midterm will cover through section 8.1.
  11. (2/20/07) Sample problems for the second midterm.
  12. (1/31/07) Thanks to Nate, I've corrected a misprint in my proof of the Riemann-Lebesgue lemma.
  13. (1/31/07) Lord Kelvin and the Age of the Earth by Joe Burchfield is a terrific book on how math gets used in science.
  14. (1/30/07) I need lots of Mathday volunteers. Please consider helping. You can see the program at Mathday.
  15. (1/30/07) Owen will have two office hours on Thursday, February 1. They will be at 9:30 am and 2:30 pm.
  16. (1/30/07) The book The Pleasures of Counting by Thomas Korner is a great source of applications of mathematics.
  17. (1/26/07) The review session for the first midterm will be Sunday, January 28, at 5 pm in C401 Padelford.
  18. (1/24/07) Sample problems for the first midterm.
  19. (1/19/07) A note on the potential of a charged sphere.
  20. (1/08/07) Owen's office hours will be 9:30, Tuesday and 2:30, Thursday.
  21. (1/03/07) Owen's first office hour will be 2:30 Thursday, January 4.
  22. (12/21/06) Fourier's 200th birthday.
  23. (12/21/06) Connections to Fourier series.
  24. (12/20/06) A proof of the Riemann-Lebesgue Lemma.
  25. (12/20/06) Here is a summary of interesting facts about sine series.
  26. (12/20/06) Trigonometric Series by A. Zygmund and Fourier Analysis by T. Korner are superb references. Zygmund's book is a nearly complete reference for theoretical results. Korner's book has a broad collection of uses of Fourier analysis. Korner's book would be a good place to start to find material for your term paper for 336. It is readable and written for students that are at your level.
  27. (12/20/06) Here is the exposition of Linear Constant Coefficient Homogeneous ODEs
  28. (12/20/06) Two interesting books are Inequalities, by G. H. Hardy, J. E. Littlewood,and G. Pólya, and Pi And The AGM : A Study In Analytic Number Theory And Computational Complexity by Jonathan M. Borwein and Peter B. Borwein
  29. (12/20/06) The mathday website is Mathday.
  30. (12/20/06) The Banach-Tarski paradox
  31. (12/20/06) There is an error in the answer to problem 2b in section 5.8. The answer should be (xz2/2, -xyz-z2/2-x2/2, 0)+grad(f)
  32. (12/20/06) For problem number 3 in section 5.8, assume that Laplacian(f)=div(H) has a solution. You don't need to justify this.
  33. (12/20/06)On the Convergence of Fourier Series is an article with an alternate (and pretty) discussion of some of the results we will discuss.
  34. (12/20/06) The sculptor Helaman Ferguson has a variety of interesting mathematical sculptures. The MIT CS Professor Erik Demaine has a link to some of his origami patterns.
  35. (12/20/06) An article on Fourier Series of Polygons
  36. (12/20/06) The AMS has two popular links, Math in the Media and a monthly Feature Column.
  37. (12/20/06) An article on Cantor's ternary function. It gives a brief introduction to some ideas of measure theory.
  38. (12/20/06) Rearranging Conditionally Convergent Series
  39. (12/20/06)It is easy to determine whether a given integer is prime is an exposition of an amazing result proved by some undergraduates in 2002.
  40. (12/20/06) Creating More Convergent Series, an article about rearranging terms in a series.
  41. (12/20/06) An article about four color problem.
  42. (12/20/06) An interesting article on gravity.
  43. (12/20/06) Why Did George Green Write His Essay of 1828 on Electricity and Magnetism is an article that gives a history of Green's essay. This article says that he was motivated by Poisson's equation. It seems that Poisson must have had a primitive version of the divergence theorem.
  44. (1/03/07) The 1854 Smith Prize Exam at Cambridge University that Stokes wrote can be found in the Michigan online library. The Smith Exams are in the last volume and this exam is on page 320. Apparently William Thomson (Lord Kelvin) stated the result to Stokes in a letter in 1850. James Clerk Maxwell won the Smith Prize in 1854 and Gabriel Stokes himself won it in 1841 and Thomson in 1845. Other winners are Arthur Cayley (1842), G.H. Hardy (1901), Arthur Eddington (1907), Alan Turing (1936). A history of the prize.
  45. (12/20/06) Jerome Keisler's book, Elementary Calculus gives a treatment of calculus using infinitesimals.
  46. (12/20/06) Make sure you check Jerry Folland's website for misprints.
  47. (12/20/06) Syllabus(pdf)

morrow@math.washington.edu