Math 642 Final Exam Review – Spring 2010

The final exam for Math 642 will be held on Monday, May 10, from 10:30 to 112:30 am in our usual classroom, ZACH 119D. The test covers these sections from the text: 6.5 (Gamma function, Bessel functions, generating functions), 7.1 (spectral theory) 7.2.1 (Fourier transforms and main properties), 10.1-10.3 (Laplace's method, Watson's Lemma, and examples). In addition, it will cover the material on self-adjoint operators, Schwartz space, and tempered distributions that I lectured on. This material is outlined below.

Spectral theory for self-adjoint operators

Schwartz space and tempered distributions

Structure of the exam

There will be 5 to 7 questions. You will be asked to state a few definitions, and to do problems similar to assigned homework problems (starting with assignment 5) and examples done in class. In addition, you will be asked to give or sketch a proof for a major theorem or lemma from the material covered by this test.

Updated 5/4/2010 (fjn).