APPM 4350 & 5350
Methods in Applied Mathematics — Fourier Series and Boundary Value Problems
Course Webpage
Go to https://sites.google.com/site/appm4350/ for the latest course info.
Course info
General info
Instructor: M. J. Ablowitz
Email: mark.ablowitz (at) colorado.edu
Office: ECCR 255
Phone: 2-5502
Office Hours: MWF 23 pm or by appointment
Classroom: ECCR 155
Text: Applied Partial Differential Equations by
R. Haberman, Pearson/Prentice Hall, 4th ed., 2004.
Syllabus: PDF
Help sessions
Every Wednesday from 68pm in ECCR 151 and every Thursday from 68pm in DUAN G125.
The Wednesday tutorial worksheets from:
Aug 25 PDF
Sept 1 PDF
Sept 8 PDF
Sept 14 PDF
Sept 21 PDF
Sept 28 PDF
Oct 5 PDF
Oct 13 PDF
Oct 20 PDF
Teaching assistants
Amanda Crawford amanda.crawford (at) colorado.edu
Carly Smith carly.z.smith (at) colorado.edu
Aaron Stockton aaron.stockton (at) colorado.edu
Zach Vaughan zachary.vaughan (at) colorado.edu
Anil Damle anil.damle (at) colorado.edu Wednesday help
sessions only
Douglas Baldwin douglas.baldwin (at) colorado.edu
Graduate TA: web page, projects, &c. Douglas's office hours are anytime he's in the office, usually 10am to noon and 2pm to 6pm.
Homeworks
There will be homework assignments due about every two weeks, usually on Mondays.
You must do the homework regularly. Doing and understanding the homework is extremely important in this class. They are challenging. Do not wait until the last minute!
Homework #1 Due Friday, September 3, 2010 PDF Solutions (PDF)
Homework #2 Due Monday, September 20, 2010 PDF Solutions (PDF)
Correction: On problem #11, it should be u(0,y)=f(y) not u(x,0)=f(x). This has now been corrected in the above link.
Homework #3 Due Friday, October 8, 2010 PDF Solutions (PDF)
Homework #4 Due Monday, October 25, 2010 PDF
Homework #5 Due Monday, November 8, 2010 PDF
Correction: Problem 5.4.4 should be 5.4.5, since you did 5.4.4 in HW #4.
Homework #6 Due Friday, December 3, 2010 PDF
Exams
Two exams will be given in the evening. The expected dates/times/rooms for these evening exams are:
- Tues. Oct. 12, 5:307:00pm, BESC 180 Solutions (PDF)
- Wed. Dec. 8, 5:007:00pm, RAMY C250
Exam Reviews
Anil is doing two Exam I reviews on:
- Sunday, Oct 10, 68pm in DUAN G2B47
- Monday, Oct 11, 68pm in ECCR 151
Project
A written report and talk will be required on a topic relevant to the course.
The talk will be approximately 15 min. plus 5 min. for questions. Each group can have no more than three students registering for APPM4350 (in this case a 5 min. talk for each student) and no more than two students registering for APPM 5350.
A list of possible or potential topics is below; you can also choose your own project, but it must be approved by the instructor. By Mon. Oct. 11 a one page description of the topic you will study will be required for each group.
List of Potential Projects (PDF)
| Status | Project |
|---|---|
| Full | Solving Schrφdingers Equation for the Hydrogen Atom |
| 1 left | Heating Slabs, Cylinders, and Spheres |
| 4 left | Vibrating Sound Plates and Disks |
| Full | Drum and Guitar Signal Analysis |
| Full | Water Waves |
| Full | Vibrational Modes of a Thin Plate |
| 1 left | Vibrating Cantilevered Beam |
| Full | Financial Mathematics Applications |
Expected dates/times/room for the project talks are: Mon. Nov. 15, 610pm; Tues. Nov. 16. 510pm; Wed. Nov. 17, 610pm; Thurs. Nov. 18, 510pm; and, if necessary, Fri. Nov. 19, 48pm. All project talks will be in ECCR 108. A detailed schedule will be decided later in the course.