Mathematics 412, Sec. 501, Fall, 2004

• Announcements
  • Dec. 16: Grades are posted! The median on the final was 140. (It would be more like 130 if some of the many Q-drops were counted as zeros.) Curve: Add 20 points. Also, since the homework grades came out rather low, I added another 9 points to bring the homework average to 85%. Final stats: 6 A, 6 B, 5 C, 2 D, 2 F, 7 Q.
  • Dec. 13: The final exam key is now available at the proper place below. Grades will not be available till later in the week, because I now need to turn my attention to my other course. The homework "total" now entered in WebCT is based on your best 9 assignments out of 12 (counting the first two weeks as one assignment); median = 711. This number will be divided by 6 to get a homework grade on the scale of 150. The class participation score in WebCT is based on my class records plus half a point for each time you signed the attendance sheet; median = 32. I will add 8 to this number to get a grade on the scale of 50.
  • Dec. 4: Free math! Free food! Most recent Math Club announcement (movie)
  • Nov. 29: Supercomputing Internship announcement
  • Nov. 20:No office hour next Tuesday (Nov. 23).
  • Nov. 17: Homework papers #10 are available in the plastic wall pouch next to my office door.
  • Nov. 6: Another homework change: The last homework is due Friday, Dec. 3 (not Dec. 6 as I wrote yesterday).
  • Nov. 5: I moved some of the homework problems originally due next Wednesday to the following week (Nov. 17), since the homework was threatening to run ahead of the lectures. The homework assignment is now complete for the semester.
  • Oct. 31: Next Tuesday (Nov. 1) office hour will start late (4:00 p.m. or slightly after).
  • Oct. 27: Test Key B is now available at the proper place below.
  • Oct. 11: As a general procedure, the grader intends to put the homework solutions on file in Wisenbaker every Friday afternoon, so you can buy them on Monday. (Thus, Week 5 is available now, and Week 6 should be available next Monday.)
  • Oct. 11: Instructions for using WebCT Vista to check your homework and test grades.
  • Oct. 4: I will miss the 3:00 office hour tomorrow (Tuesday). I expect to be in my office from 4:00 (or a bit later) to 5:00.
  • Sept. 17: Information on how to get a minor in mathematics, or even a double major. Most science and engineering majors can qualify easily.
  • Sept. 14: Solutions to the first homework assignment are on sale at the copy center in the Wisenbaker Building (2nd floor).
• Instructions for using WebCT Vista to check your homework and test grades.
• Homework assignments
• Course handout (first sheet)
• Course schedule (second sheet of handout)
• Please see my home page for up-to-date office hours.
• Fall 2000 course page including exams with solutions.
• 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 George Lucas 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.)
  • Convergence of Fourier series (partial sums). Maple input and output.
    1. square wave input and output.
    2. triangle wave input and output.
  • Summability of Fourier series (Cesaro means). To be compared and contrasted with the foregoing.
    1. square wave means input and output.
    2. triangle wave means input and output.
  • Eigenvalues of a Robin Sturm-Liouville problem. Maple input and output.
  • Bessel functions and Fourier-Bessel series. Maple input and output.
• Evans Harrell and James Herod, Linear Methods of Applied Mathematics
  Rough correlation between the Harrell-Herod syllabus and ours:
  • Block 1: HH Chapters 7, 6, 8, 3, 4, 5, 1
  • Block 2: Chapters 9, [nonexistent chapter on Fourier transforms], 20, 13 (beginning only), fragments of (15, 16, 19)
  • Block 3: Chapters 2, [nonexistent chapter on Sturm-Liouville theory], 17 (fragments), 10
  • Block 4: Chapters 11, 18
  
  
• Test solutions
  • Test A
  • Test B
  • Test C ._. Typo warning added 2015: In the last three equations on p. 3, a factor r is missing inside the arguments of all the Bessel functions.
  • Final Exam

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

e-mail: fulling@math.tamu.edu

Last updated Fri 13 Nov 15