Math 641-600 Midterm Review

The midterm will consist of an in-class part, which will be given on Wednesday, Oct. 14, and a take-home part. It will cover sections 1.1-1.4, 2.1, 2.2.1-2.2.3. It will also cover the material done in class and covered in my notes, starting with "Adjoints,..." and ending with "Pointwise convergence of Fourier series." See Class notes on my web page.

The in-class part of the midterm will consist of the following: statements of theorems and definitions; short problems or propositions similar to homework problems or examples done in class; and either a critical part or sketch of a proof for one of the major theorems proved.

The take-home test will have longer computations, proofs, or problems. It is due on Monday, October 19, at 4 pm. You may bring the test to me directly (Blocker 611D) or put it in my mailbox on the second floor.

Linear algebra

Inner products & norms
Self-adjoint matrices & their properties

Function spaces

Banach spaces and Hilbert spaces
Lebesgue Integration
Orthonormal sets and expansions
Approximation of continuous functions
Fourier series
Updated 10/9/2015 (fjn).