Mathematics 412 Honors, Sec. 200, Fall, 2006

SKIP PAST THE ANNOUNCEMENTS if you so desire. ._. (or to near the bottom)

Course procedures and announcements:

12/16: Totals and grades are posted. Here are some stats and explanations:
• The totals for homework and class participation were shamelessly inflated to honor the syllabus promise that they would be "generous overall".
  • Homework: Median raw score was 162. Multiply your raw score by 0.3571 and add 77.1. A "perfect" curved score would be 150.
  • Reviewing and class participation: (This consists mostly of reviewing points.) Median raw score was 63. Multiply your raw score by 0.75. A "perfect" curved score would be 50, but many people have more than that, because I counted the few in-class points as extra credit.
• Median on the final was 126.5, top score was 162. I added 33.5 to make the median a B.
12/13: Final exam solutions are now posted below. (Sign error in solution to Qu. 3 corrected later same day.)
12/7: All the homework is now graded. You can pick up your papers from the wall pouch next to my office door. Please read the reports and general comments on assignments 11 and 12. In particular, the grader discovered an important misprint in Sec. 7.10 that misled many students. There were NO immediately publishable papers from the last two assignments. Of course, I do not expect you to submit revisions at this late date, so I didn't even write "Please revise" on the best papers, but I did copy them (with grader's corrections) to be held in the collection if you signed the release form. You can see from the reports whether your papers are in this category.
12/7: I expect to be in my office most of Monday 12/11, but not after 3:45 (and not very early in the morning). To study for the final, I recommend that you look closely at all the old final exams on the web from previous semesters. Remember that the section of the notes on classification (elliptic, etc.) will be included on the exam.
11/25: Solutions for Test C are now attached below.
11/20: There will be two final review sessions:
1. Tuesday, Dec. 5, 7:30 p.m.
2. Thursday, Dec. 7, 2:00 p.m.
both in Blocker 112.
11/20: Some review problems with answers written by Fall 2005 students.
11/14: Differential geometry course for Spring 2007
11/13: An old bug in the homework review program seems to have resurfaced. If you get an error message saying that your report could not be delivered, there is a high probability that it WAS delivered and nothing is wrong. If this happens, please send a regular e-mail message to me and the grader just telling us which exercise number is involved. If we did NOT get the report, we will e-mail you and ask you to submit the report and review to us as ordinary e-mail attachments. (They will still be on your disk as text files.) Rerunning the hreview program in these cases accomplishes nothing. The grader is jcdom@math.tamu.edu .
11/13: Here are the demos from last Friday:
1. Eigenvalues of a Robin Sturm-Liouville problem. Maple input and output.
2. Bessel functions and Fourier-Bessel series. Maple input and output.
11/9: latest Math Club announcement (for 11/13)
10/25: Note that some new resources have been added at the bottom of the announcements list (right above here).
10/23: Clarification of Exercise 2, Homework 8: The problem has one space dimension. ("R²" means that space and time both go from minus to plus infinity.)
10/18: (1) Week 5 homework is available outside my office (in the wall pouch). (2) The scanned transparencies on the rectangular strip are here. (Credits: Andrew Jannati, Ji Ma, Ryan VanderPlas) (3) I now have old solutions for all but one of the exercises in Week 7.
10/11: There will be a mathematics colloquium on Oct. 17 on Convergence of Fourier Series. (It won't be on the test.)
10/6: The math majors meeting (see right below) has been rescheduled for Oct. 10 (because of the power failure on Oct. 3).
9/30: Meeting Oct. 3 mandatory for math majors
9/17: The Fourier series Maple demos:
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
4. Animated version by Dakota Blair. "The code can actually be copied verbatim for each file." (Modified 9/18)
9/17: Announcement of TAMU Math Career Fair
9/13: The old homework solutions for Week 2 (to the extent they exist) are now posted. Sorry, I forgot to do that earlier today.
9/2: Notes on the three-string problem
8/29: Information on the student discount on Maple is near the bottom.
• Required textbooks:
  1. R. Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 4th edition, Prentice-Hall, 2004.
  2. S. A. Fulling, Math 412 lecture notes, for sale at Copy Corner (2307 Texas Ave.~S.). Here is the first section of the notes, but do not expect this service in the future; you should buy the whole set at Copy Corner. (The notes have not changed since last year.)
• Course handout
  • Main handout (first 7 pages)
  • Course schedule (page 8)
  • Instructions for the Homework Review Generator (pages 9 and 10)
• Related information
  • Please see my home page for up-to-date office hours.
  • Instructions for using Vista to check your homework and test grades. (May need to be updated.)
  • Groups
• Word processing information
  • Just Say No to .doc files! How to get PDF or PostScript out of Word. <- UPDATED 8/29
  • Annoyed by the poor quality of your on-screen output from LyX? Here's what to do!
  • TeX10x
    1. LyX
    2. TeX 101: Typing Mathematical Expressions
    3. TeX 102: Simple Documents
    4. T_EX file for the groups list (showing the Greek alphabet and two ways to handle it in T_EX).
  • LyX for Windows
  • Putty (for secure login into calclab from a Windows PC)
• Old M. 412 course pages (including exams with solutions)
  • Fall 2005 course page
  • Fall 2004 course page
  • Fall 2000 course page
• Old course pages with homework reviews ("Skip past the announcements")
  • M. 401, Spring 2005
  • M. 311, Spring 2004
• Books on distributions (generalized functions)
• Recommended historical article: L. Challis and F. Sheard, The Green of Green Functions, Physics Today 56 No. 12 (Dec. 2003) 41-46
• Mathematical theory of vegetable cellars

Homework by weeks:

1. assignments ._. solutions and reports ._. old solutions
2. assignments ._. solutions and reports ._. old solutions
3. assignments ._. solutions and reports ._. old solutions

   Solutions for Test A ._. Plot for Fourier problem (Don't you love Maple's default colors?)

4. assignments but 2.2.3 is too easy, so let's add a Part (b) ._. solutions and reports ._. old solutions
5. assignments ._. solutions and reports ._. old solutions
6. assignments ._. solutions and reports ._. old solutions
7. assignments with an extra problem ._. solutions and reports ._. old solutions

   Solutions for Test B

8. assignments ._. Here are the problems. (See clarification in announcements above.) ._. solutions and reports ._. old solutions
9. assignments ._. solutions and reports ._. old solutions
10. assignments ._. solutions and reports ._. old solutions
11. assignments ._. solutions and reports ._. old solutions

    Solutions for Test C

12. assignments ._. solutions and reports ._. old solutions

    Solutions for Final Exam

Back to beginning of list or top of page.

• Some old demos. (I am sorry that I have not had time to update or maintain these properly. I'll try to find time for that later.)
  • Animation of moving wave packets (d'Alembert's solution). Input only -- requires Mathematica. Do not expect Pixar quality.
    1. Introducing d'Alembert's solution: MathLily or PDF.
    2. Wave reflection: MathLily or PDF.
    (MathLily files are both valid Mathematica files and valid TeX files.)
  • [All the other demos have now been moved into the annoucements.]
• Information on how to get a minor in mathematics, or even a double major. Most science and engineering majors can qualify easily.
• Student discount on Maple

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

e-mail: fulling@math.tamu.edu