MATH 603
Matrix Analysis
Fall Semester 2016
MW 4:00PM - 5:15PM in Sherman Hall 148C
Instructor: Bedřich Sousedík
Office: MP427
Phone: (I rarely answer) 410-455-3298, Fax (department): 410-455-1066
E-mail: (best way) sousedik@umbc.edu, (alternatively: bedrich.sousedik@gmail.com)
Course web: http://userpages.umbc.edu/~sousedik/classes/603f16/
Office Hours: MW: 2:30-3:30pm or by appointment.
Prerequisites: MATH 221, 251 and 301 or permission of the instructor.
Content: Topics in this course will include a review of basic matrix operations, determinants,
rank, matrix inverse and solving linear equations. The course then will study partitioned matrices,
eigenvalues and eigenvectors, spectral decomposition, singular-value decomposition, Jordan
canonical form, orthogonal projections, idempotent matrices, quadratic forms, extrema of
quadratic forms, non-negative definite and positive definite matrices, and matrix derivatives.
Textbook: Matrix Analysis and Applied Linear Algebra by Carl D. Meyer, SIAM Press, 2000.
Other references: Linear Algebra and Its Applications by David C. Lay (Math 221 text), Linear
Algebra and Its Applications by Gilbert Strang, 4th Edition, Matrix Analysis, by Roger A. Horn and
Charles R. Johnson.
Exams and Grading: The usual 90-80-70-60 % grading system will be used in this course:
A
B
C
D
F
90.0 – 100%
80.0 – 89.9%
65.0 – 79.9%
50.0 – 64.9%
below 50.0%
Grading: Homework 20%, Tests 50% (25%+25%), Final 30%.
Homework Assignments: There will be weekly homework assignments. Homework for
sections completed in any given week will be due the next Wednesday unless noted otherwise.
Selected problems from each assignment will be graded and each homework assignment will be
worth 15 points. The two lowest scores will be dropped. Please present your answers neatly and
show all your work; answers without supporting work may not receive full credit. You are
encouraged to work together on these problems, but must write up your own solutions. Late
homework will not be accepted. Please staple your homework if it has multiple pages.
Exams: There will be two in-class one hour exams and a comprehensive 2 hour final exam. No
notes or calculators will be allowed on the exams.
Final Exam: No notes or calculators will be allowed on the final exam. The final will be
cumulative. but will be slightly weighted toward the sections not covered by the previous exams.
The tentative dates of the two exams and the final exam are:
Exam #1 – Monday, October 10 (tentative)
Exam #2 – Monday, November 14 (tentative)
Final Exam – TBA
Late Work and Exam Makeup Policy:
Makeup Tests: I expect you to take all of the in class tests. If some emergency arises that
causes you to miss a test, I will deal with it in such a way that you are not penalized. We will
discuss the details if this happens. If at all possible, you must make arrangements with me
beforehand, and I will ask for details regarding the emergency. If you miss a test without
making prior arrangements, you will in all likelihood receive a zero. No makeup will be offered
after the test has been passed back to the class.
Final Exam: Attendance at the final exam is mandatory. Having the final rescheduled is
extremely rare and is not permitted for reasons such as a plane ticket that was purchased earlier
or attendance at weddings. In all cases where a makeup is requested, you MUST MAKE
ARRANGEMENTS BEFOREHAND if at all possible.
Attendance:
Regular attendance and participation are important to your success in any
college course but particularly in mathematics. There is no formal attendance policy for this
course, but people with poor attendance usually don't do very well. When you come to class, you
are expected to pay attention and participate. There is no excuse for being habitually late to
class. It disturbs the instructor as well as the other students, and it will not be tolerated. The use
of smartphones during class is strongly discouraged; at the very least, do not be disruptive, and
do not let them distract yourselves from paying attention.
UMBC Academic Integrity Policy: By enrolling in this course, each student assumes the
responsibilities of an active participant in UMBC's scholarly community in which everyone's
academic work and behavior are held to the highest standards of honesty. Cheating, fabrication,
plagiarism, and helping others to commit these acts are all forms of academic dishonesty, and
they are wrong. Academic misconduct could result in disciplinary action that may include, but is
not limited to, suspension or dismissal. To read the full Student Academic Conduct Policy, consult
the UMBC Student Handbook, the Faculty Handbook, the UMBC Integrity webpage
http://www.umbc.edu/integrity, the UMBC Undergraduate Student Academic Conduct Policy for
undergraduate students,
the UMBC Policies
section of
the
UMBC Directory
http://www.umbc.edu/undergrad_ed/ai/ or the University of Maryland Graduate School,
Baltimore (UMGSB) Policy and Procedures for Student Academic Misconduct for graduate
students.
UMBC Undergraduate Student Academic Conduct Policy:
http://www.umbc.edu/undergrad_ed/ai/documents/ACC2011.pdf
University of Maryland Graduate School, Baltimore (UMGSB) Policy and Procedures for Student
Academic Misconduct: http://www.umbc.edu/gradschool/docs/01append4.pdf
Tentative outline of the semester:
Tentative Schedule
WEEK
DATES
SECTIONS
1
8/31
Introduction, Chapter 1
2
9/5
9/7
Labor day (no class)
Chapter 2
3
9/12
9/14
3.1 – 3.6
3.7 – 3.10
4
9/19
9/21
4.1 – 4.2
4.3 – 4.4
5
9/26
9/28
4.5 – 4.6
4.7 – 4.8
6
10/3
10/5
5.1 – 5.3
5.4 – 5.5
7
10/10
10/12
Exam #1 (up to 4.8)
5.6
8
10/17
10/19
5.7
5.8
9
10/24
10/26
5.9 – 5.10
5.11
10
10/31
11/2
5.12
5.13
11
11/7
11/9
5.14 – 5.15
6.1
12
11/14
11/16
Exam #2 (5.1 – 5.13)
6.2
13
11/21
11/23
7.1 – 7.2
7.3
14
11/28
11/30
7.4 – 7.5
7.6
15
12/5
12/7
7.7 – 7.8
8.1 – 8.2
16
12/12
8.3 – 8.4
17
12/TBA
Final Exam
REMARKS
Time TBA in our usual classroom
*Note: The instructor reserves the right to adjust this tentative syllabus as needed
throughout the semester.