Topics in Applied Mathematics
Mathematics for Multimedia
Prof. M. Victor Wickerhauser
- Example Midterm (from 2014).
- Kalman filtering notes: kalman.pdf
- Kalman filtering m-files: kalmanf.m, runkf.m, taylor3.m
- Here is Chapter 1 from the next
revision of our textbook, which contains a description of the RSA
slgorithm and the proofs omitted in lecture.
Download old free MatLab (for
Windows or Linux PCs) via this link.
Download Octave (for
Windows or MacOS X or Linux on PCs) via this link.
Download MinGW (for
Windows PCs) via this link. If you have a MacOS or Linux/Unix
computer, it already has a C compiler installed.
simplex.txt: draw and
rotate a 3-simplex in 3-space.
generate MRA scaling functions from a few filters by
the fixed-point iteration method.
gcd.c: compute the
greatest common divisor by Euclid's algorithm.
rcf.m, an example program for computing the
iterated-sine rising cutoff functions of Equations 3.12 and 3.13.
apply the fraying and splicing operators of Equation 3.20.
Welcome to the mathematics of multimedia signal processing! In the past
few decades, important theories from mathematics have migrated into digital
communication, image and signal processing, and multimedia visualisation and
data analysis. Understanding these theories confers greater ability to solve
Topics. This course will lead through a list of example
problems in multimedia communication, develop the mathematical
principles useful for their solution, and implement some solutions
using theoretical results discussed in class.
Prerequisites. Math 449 (or Math 404 or Math 405), or the
permission of the instructor.
Time. Classes meet Mondays, Wednesdays and Fridays, 3:00 pm
to 4:00 pm, in Eads Hall room 103.
Text. The lectures will follow the book Mathematics for Multimedia by
M. V. Wickerhauser, ISBN 978-0-8176-4879-4 (2009).
A recommended reference book is Adapted
Wavelet Analysis from Theory to Software by M. V. Wickerhauser, ISBN
Solutions are due at the end of class on the due date. Late homework
will not be accepted. The homework will sometimes require writing a
working computer program, which will be judged for correctness and clarity.
Homework should be submitted on paper, including the printed results of any
programs. However, you will occasionally be requested to provide the
machine-readable program source via email, so find out now how to use your
campus email account.
- HW #1, due Friday, February 3
- HW #2, due Friday, February 17
- HW #3, due Friday, March 3
- HW #4, due Friday, March 31
- HW #5, due Friday, April 14
- HW #6, due Friday, April 28
Tests. There will be one midterm examination on Wednesday,
March 8th, 2017, in class. The cumulative take-home final
examination, which will emphasize
material in the latter part of the course, is due by 12:00 noon on
Friday, May 5th, 2017, in my office, Cupples
I, room 105a, or you may hand it to me at any earlier time.
Grading. One grade will be assigned for homework, one for the
midterm examination, and one for the final examination. These
three will contribute as follows to the course grade: HW 40%, Midterm 30%,
Letter grades, computed from the course score,
will be at least the following:
|Course score at least:||90%||80%||70%||60%||Letter grade at least:||A||B||C||D
Students taking the Cr/NCr or P/F options will need a grade of
D or better to pass.
Office Hours. See the instructor in Cupples I, room 105a, on
Wednesdays from 4:00 pm to 5:00 pm, or by appointment.
Questions? Return to
M. Victor Wickerhauser's home page for contact information.