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Wei Sun

Course name:
Applied Functional Analysis


Text:
Introductory Functional Analysis with Applications (by Erwin Kreyszig)
A course in functional analysis (by J. B. Conway) [GTM 96]


Time and location:
Thursdays, slot 5 to 7 (week 2 to 18).   Room 314 (the Pi room), building #3.


Office hour:
5 pm to 7 pm, Monday. Room 213 of math building.


Introduction:
I will choose topics from the above mentioned Kreyszig text and Conway text to talk about in this class. Assignments will be given per week and collected next week.
One midterm will be given around week 9, and the final exam will be given around the end of this term.


Lecture notes:
Chapter 1. Metric Spaces
Chapter 2. Normed Spaces, Banach Spaces
Chapter 3. Inner Product Spaces, Hilbert Spaces
Chapter 4. Applications to Approximations (Fourier transforms, wavelets, etc)


Assignments:
Assignment #1    (Due on Oct 16th in class)
Assignment #2    (Due on Oct 30th in class)        Solution
Assignment #3    (Due on Nov 13th in class)        Solution
Project #1                                                              Solution
Assignment #4    (Due on Nov 27th in class)        Solution
Assignment #5    (Due on Dec 4th in class)
Assignment #6    (Due on Dec 11th in class)
Assignment #7    (Due on Dec 18th in class)        Solution
Assignment #8    (Due on Dec 25th in class)        Solution
Assignment #9    (Due on Jan 8th in class)            Solution
Review Problems                                                   Solution

 
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