The Final Exam for Math 425 is scheduled for Thursday, May 8 from 9-11am (room TBA). This page contains information you need to complete the final exam successfully.
As has been the case for all of our exams, there will be two parts to the final exam, an "at-home" part and an "in-class" part. The differrence is that for the final, the "at-home" part will come first.
For the at-home part, you will need to pick one of the following topics and work the problems connected with it. You must choose which of the topics you are going to do and inform me (by email or in person) by Thursday, April 24. You may work on this part of the exam in small groups. The number of people in the group may not exceed the number of problems attached to the section (so there are some sections that are restricted to groups of at most two).
On Thursday the 8th, we'll convene for the exam, and everyone will have one or two short problems to work that are associated with the section you have worked on. At the end of the exam, you should turn in your work from that day along with the solutions to the at-home part. If you have done the at-home part in a group, then the group should turn in their work together, with the restriction that each group member must write up the solution to at least one problem.
If you have any questions, feel free to contact me.
| Topic | Section | Problems |
| Wave equation in 3 dimensions | 9.1 and 9.2 | page 240 (228 in 1st ed), #3, 4, 11 |
| Heat equation in 3 dimensions | 9.4 | page 253 (240 in 1st ed), #1, 3 |
| Distributions and Green's functions | 12.2 | page 342 (324 in 1st ed), #3,4 |
| Fourier transforms | 12.3 | page 348 (329 in 1st ed), #6, 7, 9 |
| Electromagnetism | 13.1 | page 361 (342 in 1st ed), #3, 4 |
| Shock waves | 14.1 | page 389, #3, 5, 7 (page 367, #1, 3, 5 in 1st ed) |
| Solitons | 14.2 | page 395 (373 in 1st ed) #1, 2, 13 |
| Calculus of variations | 14.3 | page 400 (377 in 1st ed), #1, 2, 4 |
You may also make your own proposal, but I must approve it in advance (i.e., by April 24).