Fall 2019

Wavelet and Fourier Analysis

Listed in: Mathematics and Statistics, as MATH-320

Formerly listed as: MATH-19

Faculty

Karamatou A. Yacoubou Djima (Section 01)

Description

The first half of the course covers continuous and discrete Fourier transforms (including convolution and Plancherel’s formula), Fourier series (including convergence and the fast Fourier transform algorithm), and applications like heat conduction along a rod and signal processing. The second half of the course is devoted to wavelets: Haar bases, the discrete Haar transform in 1 and 2 dimensions with application to image analysis, multiresolution analysis, filters, and wavelet-based image compression like JPEG2000. Three class hours per week plus a weekly one-hour computer laboratory.

Requisite: MATH 211 and 271 or 272. Fall semester. Professor Yacoubou Djima.

MATH 320 - DIS

Section 01
M 02:00 PM - 02:50 PM WEBS 102

MATH 320 - LEC

Section 01
Tu 11:30 AM - 12:50 PM SMUD 205
Th 11:30 AM - 12:50 PM SMUD 205

This is preliminary information about books for this course. Please contact your instructor or the Academic Coordinator for the department, before attempting to purchase these books.

ISBN Title Publisher Author(s) Comment Book Store Price
Harmonic Analysis: From Fourier to Wavelets Providence, RI: American Mathematical Society, 2012 Pereyra, MarĂ­a Cristina and Lesley A. Ward Recommended, not required TBD

Offerings

2024-25: Not offered
Other years: Offered in Fall 2007, Fall 2009, Fall 2011, Fall 2013, Fall 2015, Fall 2017, Fall 2019