Appled Algebra: Discrete Fourier and Wavelet Transforms

Rutgers Math 357, Spring 2020

Instructor: Danny Krashen, daniel.krashen@gmail.com Office Hours: Wed 11-12/ Mon 2:30-3:30 (via WebEx)

Textbook

• Discrete Fourier and Wavelet Transforms, by Roe W. Goodman. Available at Amazon or World Scientific

Topical outline

• Vector Spaces Review, Complex Exponentials and the Fourier Transform (Ch 1)
• The Discrete Fourier Transform (Ch 2)
• Discrete Wavelet Transforms (Ch 3)
• Wavelet Transforms from Filter Banks (Ch 4)

Grading

• 1/3: Homework (each lecture), in-class worksheets (occasional), computer projects (about every 3 weeks)
• 1/6 each: Midterm exams (Feb 27, April 16 take-home exam, handed in electronically)
• 1/3: Final exam (take-home exam, handed in electronically)