M 412 Fall 2006
HOMEWORK SUMMARY REPORT
Chapter number: 7
Section number: 7
Exercise number: 3
Number of papers received: 1
Reviewing committee: epsilon
List all participating committee members:
Andrew Jannati, Ji Ma
Author(s) of paper(s) chosen for publication:
s-koons
Comments: This paper was well worked and written. As we said in the review
she didn't say what m and n were, but that wasn't really a big deal.
Overall, a good paper.
GRADER'S COMMENTS: (1) The placement of "c" in the separated equations is
inconsistent with the solutions obtained (though the latter are correct
for the problem).
(2) The coefficients are missing in the general
solution: [a_{mn} cos(2m\theta) sin(c\omega_{mn}t) + [b_{mn}]
cos(2m\theta) cos(c\omega_{mn}t) + ....
(3) In the final answer, the double integral in the numerator is
incorrectly written as a product of two integrals; because g(r,\theta)
depends on r, it can't be pulled outside the r integral.