|
MATH 463/663-Advanced Matrix Theory &
Applications Spring 2008 Syllabus
(1/22/2008-5/9/2008)
|
Time and Venue: |
TR 11:30AM - 12:45PM, FDH 203 |
|
Instructor: |
Dr. Pengtao Sun |
|
Office Hours: |
TR 4:00PM - 5:30PM or by
appointment @ CBC-B219 |
|
Email: |
pengtao.sun@unlv.edu |
|
URL: |
http://faculty.unlv.edu/sun |
|
Phone: |
(702) 895-5175 |
|
Textbook: |
Matrix Analysis for Statistics by
James R. Schott, 2nd Edition. |
CATALOG DESCRIPTION:
ADVANCED MATRIX THEORY AND APPLICATIONS (3 credits) contains rigorous
mathematical treatment of orthogonal matrices, Gram-Schmidt method, Q-R
factorization, least-squares fits, eigenvalues and eigenvectors, linear
difference equations, systems of linear differential equations, unitary
similarities, Schur's theorem, power method, quadratic forms, singular value
decompositions, pseudo-inverse, systems of linear inequalities, and simplex
method.
The topical outline of course
objectives is the following:
| Chapter 1 |
A Review of Elementary
Matrix Algebra |
| Chapter 2 |
Vector Spaces |
| Chapter 3 |
Eigenvalues and
Eigenvectors |
| Chapter 4 |
Matrix Factorizations and
Matrix Norms |
| Chapter 5 |
Generalized Inverses |
| Chapter 6 |
Systems of Linear
Equations |
PREREQUISITE: Math
330 or equivalent.
TEST AND GRADING POLICY: There
will be two tests, each test will be worth 40%. The first test will be on
chapters 1 – 3 and take 1 hour and 15 minutes, the second test (final
examination) will be on chapters 4 – 6 and take 2 hours.
Grades will be assigned on the basis of total
100 points,
distributed as follows:
|
Homework |
20% |
|
Two tests |
40% each, total 80% |
|
Total |
100 |
Final course grades will be assigned as follows:
|
A GRADE |
90-100 POINTS |
|
B GRADE |
80-89 POINTS |
|
C GRADE |
70-79 POINTS |
|
D GRADE |
60-69 POINTS |
|
F GRADE |
0-59 POINTS |
CLASS POLICIES:
HOMEWORK:
The homework problems that you should
work after each lecture are on the assignment list. You are required to do
the homework outside of class for each section after we have completed the
lesson. Homework will be collected after one chapter is finished.
ATTENDANCE:
You are expected to attend class
regularly. If you miss a class for any reason, you are responsible for all
material covered, announcements made in your absence, and acquiring
materials that may have been distributed in class.
MISSED EXAMS:
You will have the opportunity to make
up an examination given on a day you are absent if you can provide
sufficient reason for missing the examination.
ACADEMIC INTEGRITY:
Academic integrity is the pursuit of scholarly
activity in an open, honest and responsible manner. Academic integrity is a
basic guiding principle for all academic activity at
University of Nevada, Las Vegas, and all members of the University community are expected to act in
accordance with this principle. Consistent with this expectation, the
University's Code of Conduct states that all students should act with personal
integrity, respect other students' dignity, rights and property, and help create
and maintain an environment in which all can succeed through the fruits of their
efforts.
Academic integrity includes a commitment not to engage in or
tolerate acts of falsification, misrepresentation or deception. Such acts of
dishonesty violate the fundamental ethical principles of the University
community and compromise the worth of work completed by others.
Based on the University's
Student
Academic Misconduct Policy, a range of academic sanctions may be
taken against a student who engages in academic dishonesty.
LECTURE-BY-LECTURE BREAKDOWN:
WEEK
|
DAY/DATE
|
SECTION(S) COVERED
|
|
1
|
Tuesday Jan 22
|
CLASS BEGINS
Introduction / §1.1-1.5 |
| |
Thursday Jan 24 |
§1.6-1.7 |
|
2
|
Tuesday
Jan 29 |
§1.7-1.8 |
|
Thursday
Jan 31 |
§1.8-1.9 |
|
3 |
Tuesday
Feb 5 |
§1.9-1.10 |
| |
Thursday
Feb 7 |
§1.10-1.11 |
|
4
|
Tuesday
Feb 12 |
§1.11-1.12 |
|
Thursday
Feb 14 |
§2.1-2.3 |
|
5
|
Tuesday
Feb 19 |
§2.3-2.4 |
|
Thursday
Feb 21 |
§2.4-2.5 |
|
6
|
Tuesday
Feb 26 |
§2.5-2.6 |
|
Thursday
Feb 28 |
§2.6-2.7 |
|
7
|
Tuesday
Mar 4 |
§2.7-2.8 |
|
Thursday
Mar 6 |
§2.8-2.9 |
|
8
|
Tuesday
Mar 11 |
§2.9-2.10 / REVIEW |
|
Thursday
Mar 13 |
MIDTERM TEST |
|
9
|
Tuesday
Mar 18 |
Spring Break Recess |
|
Thursday
Mar 20 |
|
10
|
Tuesday
Mar 25 |
§3.1-3.3 |
|
Thursday
Mar 27 |
§3.3-3.4 |
|
11
|
Tuesday
Apr 1 |
§3.4-3.5 |
|
Thursday
Apr 3 |
§3.5-3.6
Apr 4 is the final day to drop |
|
12
|
Tuesday
Apr 8 |
§3.6-3.7 |
|
Thursday
Apr 10 |
§3.7-3.8 |
|
13
|
Tuesday
Apr 15 |
§3.8-4.3 |
|
Thursday
Apr 17 |
§4.3-4.4 |
|
14
|
Tuesday
Apr 22 |
§4.4-4.5 |
|
Thursday
Apr 24 |
§4.5-4.6 |
|
15
|
Tuesday
Apr 29 |
§4.6-4.7 |
|
Thursday
May 1 |
§4.7-4.8 |
|
16 |
Tuesday
May 6 |
§5.1-5.3 |
|
|
Thursday
May 8 |
REVIEW
CLASS ENDS |
|
17 |
Thursday
May 15 |
10:10-12:10pm
FINAL EXAMINATION |
|