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

  1. 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.
  2. In general, no homework problem will be given full credit unless you have written an explanation of why you know it is correct.
  3. No e-mail journal entry is required this week.
  4. 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


David A. Smith <das@math.duke.edu>

Last modified: November 10, 1998