Math 641-600 Midterm Review — Fall 2021

The midterm will consist of an in-class part, which will be given on Wednesday, 10/6/2021, and a take-home part. It will cover sections 2.1, 2.2.1-2.2.4. It will also cover the material done in class and from the class notes on my web page, up to and including the notes on Fourier series. I will also have extra office hours next week. My office hours will be: Monday, 1-2 & 2:30-3:30; Tuesday, 10-11 & 1-2; Wednesday, 9:30-10.

The in-class part of the midterm will consist of the following: statements of theorems and definitions; short problems and 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 will be due at 4 pm on Monday, October 11, 2021.

Inner product spaces
Banach spaces and Hilbert spaces
Lebesgue Integration
Orthonormal sets and expansions
Approximation of continuous functions
Fourier series
Updated 10/1/2021 (fjn).