Gestur Olafsson - Teaching

Classes Fall 2004

Syllabus 2003
Lecture one
Lecture two subspaces
Lecture three Spaces of functions
Lectures four and five linear maps, inner products, and norms
Lectures six and seven: Generating sets, linear independent vectors, basis, and Gram-Schmidt
Lectures 8 orthogonal projections
2-D wavelet transform and complex numbers: Lecture 10 lecture 11, Exercises on complex numbers, Quiz Nov. 18 and 20 with solutions
quiz 3 , solutions

two problem sets

Problems on orthogonal projections.

q. 4, 5, and 6 with solutions.

Download the presentation the one dimensional Haar wavelet transform and the two dimensiona wavelet transform.

Syllabus
On Functions
Solutions to homework 1 (There is a typo in the solution to the last problem. It will be corrected soon.
Problems on 2-dim wavelet transform with solution to some of the problems
Quiz #5
Quiz #5 with the solutions and some general remarks.
Test #2 .
Test #2 with the solutions and some general remarks on vector spaces and linear maps.
Homework due on Tuesday Nov. 5.
Homework due on Thursday Nov. 14 at 9:10 AM.
Solution to the homework due Thursday Nov. 19
Some important things to study for the final
Old material: Quizes, tests, homework, etc.

Analytic Continuation in Representation Theory and Harmonic Analysis DVI-File or as PS-File .
Math 7320, LIE GROUPS AND THEIR REPRESENTATIONS Preliminary Lecture notes .
Measure and Integration DVI-File or as PS-File .
Notes on Banach spaces. As DVI-File or PS-file .
Notes on Hilbert spaces. As DVI-File or PS-file .
Notes on Fourier Series. As DVI-File or PS-file .