Principles and Techniques of Applied Mathematics
MATH 373

Homework Assignment #8 (Final Assignment!)

Due Monday, April 30, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the Brown and Churchill book, the required text for the course. Unless otherwise indicated, all parts of a problem (a), (b), etc. should be completed. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. Since many of the problems have the answers included, your work is what's important!

A nonempty subset of the assignment will be graded. You are strongly encouraged to work on these problems with other classmates and you are allowed to turn in your assignment in a group of up to 4 people, with everyone in the group receiving the same grade. Be sure to list the names of your group at the top of your homework.

Chapter 5, pp. 113 - 114
Problem:   3

Hint: For problem #3, let Phi(r) be the steady-state solution (you have to find it.) You will eventually use that r Phi(r) -> 0 as r -> 0.

Chapter 5, pp. 122 - 124
Problems:   1, 4

Chapter 5, pp. 133 - 134
Problems:   1, 4

Note: For problem #1, DO NOT use expression (9), Sec. 39, as the book suggests. Solve this PDE using separation of variables.

Chapter 5, pp. 143
Problems:   1, 3

Chapter 5, pp. 146 - 147
Problems:   1, 3