Math 641-600 Midterm Review

The midterm will be given on Thursday, Oct. 21, from 7 to 9 pm. It will cover sections 1.1-1.4, 2.1, 2.2.1-2.2.4, 2.2.7. It will also cover the material done in class on the Lebesgue integral. The test will consist of the following: statements and/or proofs or sketches of proofs of theorems; definitions; short problems or propositions similar to homework problems or examples done in class.

Linear algebra

Inner product spaces & normed linear spaces
Self-adjoint matrices & their properties
Estimation of eigenvalues
The Fredholm Alternative

Function spaces

Complete normed spaces & complete inner product spaces
Lebesgue integral
Hilbert spaces & complete orthogonal sets
Weierstrass Approximation Theorem
Approximation tools
Updated 10/18/2010 (fjn).