Course outline

Some facts and definitions

Proofs of some Lemmas

A proof of Banach open mapping theorem

On Gram-Schmidt orthogonalization procedure

Solutions of some exercises

Properties of adjoint operators

Homework Assignments:

• Assignment 1, due September 21, 2006. Solutions.
• Assignment 2, due September 28, 2006. Solutions.
• Assignment 3, due October 5, 2006. Solutions.
• Assignment 4, due October 12, 2006. Solutions.
• Assignment 5, due October 19, 2006. Solutions.
• Assignment 6, due November 2, 2006. Solutions.
• Assignment 7, due November 9, 2006. Solutions.
• Assignment 8, due November 16, 2006. Solutions.
• Assignment 9, due November 23, 2006. Solutions.
• Assignment 10. due November 30, 2006. Solutions.

Midterm 2004         Solutions.

Midterm 2005         Solutions.

Midterm 2006         Solutions.

Additional exercises

Final 2004         Final 2005