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.
1 course with a minimum grade of C- from (MATH246, MATH341).
Recommended: MATH240 or MATH 461 (strongly recommended)
Level of Rigor
Harmonic Analysis and Applications, 1st Edition by J.J. Benedetto
A First Course in Fourier Analysis, (2nd Edition) by D.W. Kammler
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