Math 111.01/02 (Applied Mathematical Analysis I)
Fall 1998
Plan for Week 13
In our holiday-shortened week, we explore the application of separation of variables and Fourier series to the wave equation, a model for the evolution of waves in one space dimension, such as the vibrations of a guitar string. On Wednesday, we look at a quite different way to solve the wave equation, using a technique developed by Jean D'Alembert some 250 years ago.
Here is the syllabus for Week 13:
Week 13 |
Date |
Topic |
Reading |
Activity |
|
|
|
|
|
M |
11/23 |
Wave equation |
10.6 |
|
W |
11/25 |
D'Alembert's solution |
|
|
|
|
|
|
|
Notes
- Homework this week will be combined with Week 14 homework to be turned in on Monday, December 7. Those
papers should include solutions to all problems in the assignment below.
- In general, no homework problem will be given full credit unless
you have written an explanation of why you know it is correct.
- No e-mail journal entry is required this week.
- The take-home part of the Final Exam will be handed out on Monday, November 30. Unlike your other take-homes, this will consist of a single essay
question with a maximum page limit. The essay is due at the last
class meeting, December 9. It will be graded and returned at the "regular"
exam time -- December 16 -- at which time you will be 50% finished with your exam.
Assignment
- Monday, Nov. 23, Sec. 10.6 / # 1, 5, 6, 10. You may skip part (d) in problems 1 and 6.
David A. Smith <das@math.duke.edu>
Last modified: November 10, 1998