MATH 428

Spring 2016 Part of Term 1

Part of Term 1
Jan 19-May 4

Honors Topics in Mathematics

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Credit: 3 hours.

A capstone course in the Mathematics Honors Sequences. Topics will vary. As part of the honors sequence, this course will be rigorous and abstract.

3 undergraduate hours. No graduate credit. May be repeated in the same or separate terms to a maximum of 12 hours. Prerequisite: Consent of the department.

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MATH 428 class schedule data for spring 2016
	CRN	Type	Section	Time	Day	Location	Instructor	Section Details
	48286	Lecture-Discussion	G	11:00AM -11:50AM	MWF	Illini Hall	Boca, F	Part of Term: 1 Date Range: 01/19/16-05/04/16 Special Approval: Departmental Approval Required Section Info: Topic: An Introduction to Fourier Analysis and Wavelets. The course will provide a rigorous treatment of Fourier theory on the unit circle, the real line, and on finite Abelian groups, with applications to the study of wavelets. The main topics will include: (i) Fourier series and summability; (ii) The discrete Fourier and Haar transforms; (iii) The Fourier transform, Schwartz spaces, Fourier inversion, Plancherel’s theorem, distributions. (iv) Wavelet and multiresolution analysis. This course should be of interest to students in mathematics, physics, and engineering. Prerequisites: Math 416 and either Math 424 or Math 447. Restriction(s): Restricted to Undergrad - Urbana-Champaign.