Math 516, Fall 2009
FINAL EXAM
Course outline
Some facts and definitions
Proofs of some Lemmas
A proof of HahnBanach Theorem
HahnBanach Theorem
in the complex case
Two more applications
of the HahnBanach Theorem
A proof of Banach open mapping theorem
On GramSchmidt orthogonalization procedure
Fixed pointn theorems
Solutions of some exercises
Homework Assignments:

Assignment 1,
due September 18, 2009.
Solutions.

Assignment 2,
due October 2, 2009.
Solutions.

Assignment 3,
due October 16, 2009.
Solutions.

Assignment 4,
due October 30, 2009.
Solutions.

Assignment 5,
due November 13, 2009.
Solutions.

Assignment 6,
due November 27, 2009.
Solutions.
MIDTERMS (OLD and RECENT)
Midterm 2006
Solutions.
Midterm 2007
Solutions.
Midterm 2009
Solutions.
Second Midterm 2009
Solutions.
Additional exercises