Outline:

1. Introduction
2. Fourier series
3. Fourier transform
4. Discrete Fourier transform
5. Wavelet analysis

Objective:

After the course, students should understand the theory of Fourier series, Fourier transform, as well as discrete wavelet transform. Some applications of these transforms will be discussed.

Textbook:

1. A. Boggess and F.J. Narcowich, A First Course in Wavelets with Fourier Analysis, 2nd Ed
2. G. Folland, Fourier Analysis and Its Applications