Math 2025: Integral
Transforms and Their Applications, Fall 2010
Syllabus. Here
Exam
Dates:
Exam 1. Thursday September 30
Exam 2. Tuesday November 2
Final Exam. Wednsday December 8 (
3:00-5:00pm)
No-class
Holidays(2010):
Labor day-
Monday, September 6
Fall Holiday begins - October 22- 24
Thanksgiving- TH/F November 24-28
Last
day of class December 4
Course outline:
1. Functions Wavelets and signals.
2. Chapter 1 of the textbook.
3. Application of Wavelets: Section 2.2 of the textbook.
4. Chapter 4 of the book (some notes we will use Vector
spaces, Subspaces,
Vector spaces of functions.)
5. Linear Maps, inner products and norms, basis, Gram-Schmidt
orthogonalization, orthogonal projections.
6. Discrete and Fourier Transforms: a note on
Complex numbers, and Discrete and Fast Fourier Transforms
Exam1 Solution
Suggested homework
problems:
Exercise 1.1, 1.2 (page 7)
Exercise 1.5, 1.7, 1.9, 1.10
Exercise 1.17, 1.18, 1.20, 1.22, 1.23,
Exercise 1.26, 1.28, 1.30, 1.32, 1.34,
Exercise 1.39, 1.40, 1.41, 1.42
Exercise 2.7 - 2.11.
Exercise 2.15, 2.16,
2.19, 2.20, 2.22
Exercise 2.24 - 2.27