Classes
Math 4500
Office: Ross Hall 321
e-mail: bshader at uwyo dot edu
Phone: 766-6826
Hours: M 2-3, , W 3:00-4:00, Th 11-12 or by appointment
Grading
Homework 25%
2 Midterm Exams 25% each
1 Final Exam 25%
Homework
sets will be given about once each week and a half. Your will be
given one week to 10 days to complete each homework set. No late homework will be accepted.
Your homework solutions should be mathematically correct and written in
full mathematical sentences. The homework will be a mix between
computation, application of the theory taught in class, real-world
applications, and concepts. Feel free to ask me specific
questions (i.e. ones that show that you've already thought about the
problem and just need some help getting unstuck) about the homework. It
is okay to broadly discuss homework problems with other students in the
class. However, the main ideas of a solution and the final work
should be your own.
There is no required textbook for this course. Homework and exams will be based on the lectures.
A good reference book for the course is: Applied Linear Algebra by P. Olver and C. Shakiban
(Prentice Hall, 2006, ISBN 0-13-147382-4).
Matrix
theory is one of the fundamental areas of mathematics. It is used
in virtually every area of advanced mathematics, and over the past
century has been an important tool in various applications.
Accordingly, the goals of the course are two-fold:
The goals of the course are to develop
a thorough conceptual understanding of, and proficient computational skills for matrix theory, and
an understanding of how matrix theory is used in a variety of applications.
Topics
to be covered include: linear transformations, spectra of matrices,
similarity, Jordan Canonical Form, inner products, unitary and normal
matrices, the Singular Value Decomposition, and the Perron-Frobenius
theory of nonnegative matrices. Some applications that we
will (hopefully) encounter are: the Discrete Fourier Transform, the
Fast Fourier Transform, basic signal processing, population modeling,
data compression, face recognition, least squares and database searches.
A positive attitude toward learning and a willingness to work are required. Ask questions, come to
office hours, carefully go over your notes (several times), and enjoy learning something new!
Academic Honesty
The
University of Wyoming is built upon a strong foundation of integrity,
respect and trust. All members of the university community have a
responsibility to be honest and the right to expect honesty from
others. Any form of academic dishonesty is unacceptable to our
community and will not be tolerated. See UW Regulation 6-802 for
more details.
Disclaimer
The
instructor may make changes to the syllabus as the course
proceeds. These changes will be announced in class, and
substantive changes made to the syllabus will be communicated in
writing to the students.