#### Description

Fourier transform, Fourier series, discrete and fast Fourier transform (DFT and FFT). Laplace transform. Poisson summation, and sampling. Optional Topics: Distributions and operational calculus, PDEs, Wavelet transform, Radon transform and Applications such as Imaging, Speech Processing, PDEs of Mathematical Physics, Communications, Inverse Problems.

#### Prerequisites

1 course with a minimum grade of C- from (MATH246, MATH341).

Recommended: MATH240 or MATH 461 (strongly recommended)

Level of Rigor

Advanced

Sample Textbooks

Harmonic Analysis and Applications, 1st Edition by J.J. Benedetto

A First Course in Fourier Analysis, (2nd Edition) by D.W. Kammler

Applications

Chemistry, engineering, physics and astronomy

If you like this course, you might also consider the following courses

MATH 416, STAT 426, MATH 420, ENEE 322

Additional Notes