Some facts and definitions
Proofs of some Lemmas
A proof of Hahn-Banach Theorem
Hahn-Banach Theorem in the complex case
Two more applications of the Hahn-Banach Theorem
A proof of Banach open mapping theorem
On Gram-Schmidt orthogonalization procedure
Fixed pointn theorems
Solutions of some exercises
MIDTERMS (OLD and RECENT)
Midterm 2006         Solutions.
Midterm 2007         Solutions.
Midterm 2009         Solutions.
Second Midterm 2009         Solutions.