Instructor: M Zworski

Lectures: TTh, 2-3:30 PM, 6 Evans.

Course Control Number: 54174

Office: 801 Evans, e-mail: zworski@math.berkeley.edu

Office Hours: W 2-3 PM

Prerequisites: Math 53 (multivariable calculus), Math 54 (linear algebra and differential equations)

Required text: A First Course in Wavelets with Fourier Analysis, 2nd Edition, by Boggess and Narcowich ( Please note the change of the required text; you can return textbooks to the Cal Store for full refund till January 27)

Recommended Reading:
A wavelet tour of signal processing, third edition, by Stephane Mallat. Wavelets Made Easy, by Yves Nievergelt

Syllabus: This course will cover the basic mathematical theory of Fourier analysis and wavelets, including one-dimensional signal processing and multi-dimensional image processing:

• Inner product spaces
• Fourier series
• Fourier transform: continuous and discrete, fast Fourier transform
• Haar wavelets
• Multiresolution analysis
• Daubechies wavelet
• (if time permits) transform coding, signal compression, quantization, image compression, JPEG, JPEG-2000

Course Webpage: I will post handouts and assignments on bCourse.

Grading:

homework:	50%	(2 lowest scores dropped)
Midterm:	20%	Tues, March 6, in class
Final exam:	30%	Mon, May 12, 2014 11:30-2:30

Homework: 12 assignments, some involving programming in Matlab