### MATH 472/572 - HOMEWORK PROBLEMS - Fall 2007

The homework refers to exercises from the copies of the book I am writing and distributing one chapter at a time.

Homework 1 (due 9/1/09) :
Chapter 1 - Choose any 3 exercises from the chapter.

Homework 2 (due 9/8/09) :
Chapter 3 - Exercise 3.10.

Homework 3 (due 9/15/09) :
Chapter 4 - Verify the closed formula for the Dirichlet kernel, or verify the closed formula for the Fejer kernel (Exercise 4.26). Math graduate students do exercise 4.14, others can choose instead one of 4.15, 4.16.

Homework 4 (due 9/22/09) :
Chapter 4 - Exercises 4.3, 4.22, 4.27. As a bonus you can do Exercise 4.41.

Homework 5 (due 9/29/09) :
Chapter 5 - All students 5.19, 5.20, graduate students in math 5.9, other students 5.18.

Homework 6 (due 10/08/09) :
Chapter 6 - Exercises 6.3, 6.25, 6.26 (as a bonus try 6.24).

Homework 7 (due 11/03/09) :
Chapter 7 - Exercises 7.6 (bump), 7.11, 7.14, 7.17, 7.33.

Homework 8 (due 11/17/09) :
Chapter 8 - Exercises 8.5 (only Fejer), 8.23, 8.24, 8.25, 8.30 (only Fejer).

Homework 9 (due 11/24/09) :
Chapter 9 - Exercises 9.3, 9.11, 9.14, 9.23, 9.35 (bonus).

Homework 10 (due 12/15/09) :
Chapter 10 - Exercises 10.1, 10.9 (Shannon MRA), 10.14, 10.20, 10.22.