Math 111.01/02 (Applied Mathematical Analysis I)
Fall 1998
Plan for Week 12
This week we start our study of Fourier series, which we will see play an important role in representing solutions of at least some partial differential equations -- in particular, solutions of initial-boundary value problems for the one-dimensional heat equation. Most of this week's work is devoted to studying properties of the Fourier series themselves. Next week, we apply what we have learned to a rather different PDE, the wave equation, a model for vibrating strings and other "wave" phenomena.
Here is the syllabus for Week 12:
| Week 12 |
Date |
Topic |
Reading |
Activity |
|
|
|
|
|
| M |
11/16 |
Fourier series |
10.2 |
|
| W |
11/18 |
Fourier series |
10.3-10.4 |
|
| F |
11/20 |
Fourier series |
|
Lab: Experiments with
Fourier Series |
|
|
|
|
|
Notes
- Your next homework papers will be turned in on Monday, November 23. Those
papers should include solutions to all problems in the assignment below.
The assignment dates are start dates.
- In general, no homework problem will be given full credit unless
you have written an explanation of why you know it is correct. This week you may use any aspect of Maple for any part of the homework solutions or checking. You may find it useful to consult the help page ?piecewise.
- Submit your Week 12 lab report (the Maple file) via e-mail before you leave for Thanksgiving break.
- Remember to submit your e-mail journal entry on Friday, November 20.
Assignments
- Monday, Nov. 16, Sec. 10.2 / # 3, 5, 7, 10, 13, 16, 20
- Wednesday, Nov. 18, Sec. 10.3 / # 3, 8, 9; Sec. 10.4 / # 7, 9, 18, 21,
22
- Friday, Nov. 20, Sec. 10.4 / # 20, 24
David A. Smith <das@math.duke.edu>
Last modified: November 10, 1998