Mathematics 597F - ST- Fourier Methods
Spring
2023
01
3.00
Manas Bhatnagar
M W F 11:15AM 12:05PM
UMass Amherst
68018
Lederle Grad Res Tower rm 204
mbhatnagar@umass.edu
The course introduces and uses Fourier series and Fourier transform as a tool to understand varies important problems in applied mathematics: linear ODE & PDE, time series, signal processing, etc. We'll treat convergence issues in a non-rigorous way, discussing the different types of convergence without technical proofs. Topics: complex numbers, sin & cosine series, orthogonality, Gibbs phenomenon, FFT, applications, including say linear PDE, signal processing, time series, etc; maybe ending with (continuous) Fourier transform.
MATH 235, 331 & 300/COMPSCI250 Note: 27 seats reserved for Math majors