Course outline

Some facts and definitions

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 20, 2007. Solutions.
• Assignment 2, due September 27, 2007. Solutions.
• Assignment 3, due October 4, 2007. Solutions.
• Assignment 4, due October 11, 2007. Solutions.
• Assignment 5, due October 18, 2007. Solutions.
• Assignment 6, due October 25, 2007. Solutions.
• Assignment 7, due November 8, 2007. Solutions.
• Assignment 8, due November 15, 2007. Solutions.
• Assignment 9, due November 22, 2007. Solutions.
• Assignment 10. due November 29, 2007. Solutions.

Midterm 2004         Solutions.

Midterm 2005         Solutions.

Midterm 2006         Solutions.

Midterm 2007         Solutions.

Additional exercises

Final 2004         Final 2005         Final 2006