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Winter 2011 Math 540

What, When, and Where:

Course Description:

Linear Analysis: Theory and applications of Banach and Hilbert spaces. Topics include complete normed linear spaces, duality, fundamental theorems, operator theory, representation theorems, spectral theory.

Text:

S. David Promislow, A First Course in Functional Analysis, 308 pages.
(Available on Amazon)

Book cover of "A First Course in Functional Analysis; by Promislow

Lectures:

MWF 9:00-9:50a TMCB 323

Office Hours:

MF 5:00-5:50 PM; W 10:00-10:50 AM

Grading Scheme:

60% Homework
20% Midterm Exam
20% Final Exam

Assignments:

Chapter 2 #6, 7, 9, 11, 12, 14, 16-19; Due 01/19
Chapter 2 #24, 25, 27, 28, 32, 35, 37, 42, 43, 44; Due 02/09
Chapter 3 #1, 2, 5-10, 14, 15; Due 02/23
Chapter 4 #1, 4-8, 12-14, 16; Due 03/02
Chapter 5 #1, 2-11; Due 04/04
Chapter 6 #1, 2, 4, 6, 7, 10-13, 16; Due 04/13