Course Info:
Math 754 - Introduction to Functional Analysis
Spring 2016 - Section 001
Time/Place:
M,W,F: 9:05 AM - 9:55 AM - 228 Phillips Hall
Instructor:
Jeremy Louis Marzuola
Contact Info:
E-mail: marzuola@math.unc.edu
Office: Room 324D Phillips Hall
Office Hours:
Course Description:
The course will cover introductory topics in Functional Analysis including Hilbert Spaces, Banach Spaces,
spectral theory and Distributions.
Topics:
0. Review of Mathematical Preliminaries
I. Hilbert Spaces
II. Banach Spaces
III. Bounded Linear Operators
IV. The Spectral Theory of Compact Operators
V. Fredholm Theory
VI. Distributions
Prerequisites:
Required Course Text:
M. Reed and B. Simon, Functional Analysis - Vol. I of Introduction to Mathematical Physics.
Recommended Course Texts:
P. Lax, Introduction to Functional Analysis.
W. Rudin, Functional Analysis.
K. Yosida, Functional Analysis.
Grading:
The course will be graded on (roughly) tri-weekly homework assignments (75%) and an individual project
(25%) to be handed in at the end of the semester.
Scheduling and Final Project Due Date:
Holidays for the Spring 2016 fall on January 18, March 14-18 and March 25. The final day of classes is
Wednesday, April 28. The project will be due on Friday, May 6 at 11 AM, which would be when the final
exam for the course would end.