Mathematics 401, Sec. 501, Spring, 2009

Last updated Wed 13 May 09

• Announcements
  • MaJy 13: Scores and grades are available on Blackboard Vista. (Go to the bottom of your gradebook page to see the letter grade.) Some explanations are here.
  • May 12: Corrected final exam solutions are posted below. PLEASE STUDY THEM, especially Qu. 2 (Fourier transform problem) and Qu. 3 (two-dimensional eigenfunction problem). Many of you did not seem to understand what was being asked in those two problems. Also, I should have been more careful in algebra in Qu. 4; after the correction, the coupled ODEs can be solved by the same trick as in the homework example, contrary to what I thought. I also fixed typos in the solution to Qu. 5(A).
  • Apr. 28: Latest Math Club announcement (Olympiad movie, May 5)
  • Apr. 14: Key for Test B is posted below. I took a problem off each of Assignments 12 and 13 (see below) and postponed #12 to the following Monday.
  • Apr. 8: appeal to take the NSSE survey
  • Apr. 8: I reorganized the homework assignments between 2005 and 2006, so some of the 2005 solutions are not in the "correct" weeks from our present point of view. I think I have now turned the read permissions on for all the exercises that have been turned in. In particular, 4 of the problems in set #10 have solutions in 2005 set #11. Note also that some defective solutions were never satisfactorily revised; be sure to check "instructor's comments" in the reports.
  • Jan. 31: Note that I've changed the office hours. I will be in on Tuesday afternoons 2:45-3:45; and at the same time on Thursdays in test weeks only. Monday and Wednesday hours have not changed.
  • Dec. 29: This semester we will NOT do peer review of homework as in most previous years.

• Course handout
  • Please see my home page for up-to-date office hours.

• Course notes
  • Title page
  • Part One (Perturbation theory)
  • Part Two (PDEs), beginning
  • Part Two, continued

• Fourier series demonstrations
  1. Triangle wave
     • partial sums ._. Maple code
     • Cesaro means ._. Maple code
  2. Square wave
     • partial sums ._. Maple code
     • Cesaro means ._. Maple code
  3. Sawtooth wave
     • first version ._. Maple code
     • displaced version (murkier formula but clearer graphs) ._. Maple code

• Homework
  1. Jan 28
  2. Feb 4
  3. Feb 11
  4. Feb 18
  5. Feb 25 <- Subscript typo corrected.
  6. Mar 6 (FRIDAY) Omit (from your paper) Exercises 2 and 8; we will do them as in-class exercises.
  7. Mar 11 (WEDNESDAY)
  8. Mar 25 (postponed to FRIDAY, Mar 27)
  9. Apr 1 (WEDNESDAY) Omit (from your paper) Exercises 1, 2, and 4; we will do them as in-class exercises.
  10. Apr 8 (WEDNESDAY) CORRECTION: Ex. 1, part (b), should refer to p. 79, not p. 81. Also, Qu. 3 concerns a "semi-infinite" plate (0 < x < L, 0 < y < [infinity]).
  11. Apr 20 (MONDAY)
  12. Apr 27 (MONDAY -- postponed from Friday) Omit Exercise 5, as I intend to do it in class.
  13. May 1 (FRIDAY) Don't hand in Exercise 5, as I intend to do it in class.

• Old home pages (with tests and solutions!)
  • Spring 06 home page
  • Spring 05 home page (highly recommended student-written solutions, made visible after your assignments are due)
  • Fall 03 home page (no peer review that semester)
  • Spring 01 home page
  • Fall 98 home page

• Test solutions
  • Test A On the singular root in Qu. 1: full credit for a 2-term solution (what I intended to ask, and did in the key), extra credit for a 3-term solution (what the question asked for).
  • Test B
  • Final Exam

• Track your grades on WebCT Vista

Go to home pages: Fulling ._._. Calclab ._._. Math Dept ._._. University

e-mail: fulling@math.tamu.edu