Math 630: Matrix Analysis
Spring 2010
MW 5:30 - 6:45, MP 008


Instructor:
Andrei Draganescu
Office: MP420
Phone: 410-455-3237
Email: draga@math.umbc.edu
Website: http://www.math.umbc.edu/~draga/courses/2010/Spr/math630

Office hours:
MW 10 - 11, or by appointment.


Prerequisites:
Math 221, Math 301, or instructor approval; Math 430 is recommended.


Text:
Matrix Computations, 3rd edition, by Gene Golub and Charles Van Loan, The Johns Hopkins University Press, 1996.


Course objectives:
This course serves as an introduction to numerical linear algebra. Topics include direct and iterative methods for solving linear systems (LU, Cholesky, and QR factorizations, conjugate gradient), and numerical solution of eigenvalue and least squares problems. Practical illustration of the methods will be done using Matlab. We plan to cover most of the material in the Sections 2.1-2.5, 2.7, 3.1-3.4, 4.1-4.3, 5.1-5.7, 7.1, 8.1-8.7, 10.1-10.3 (the list is tentative). Practical illustration of the methods will be done using Matlab.


Schedule:
A tentative schedule will be posted here, and will be continously updated.


Assignments:
Homework will be assigned approximately once a week and will generally be due a week later at the beginning of class. Occasionally extra credit problems will be posted, the scores of which will count towards the overall homework score. It is encouraged that you discuss homework problems with colleagues, but the submitted write-up should and Matlab code be the result of individual work only.


Tests:
There will one midterm exam and a final exam (see detailed schedule for exam dates).


Grading policy:
Homework - 30%, Midterm - 30 %, Final - 40%

Score above 90% 80% 65% 50 % otherwise
Letter grade A B C D F


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 www.umbc.edu/integrity, or the Graduate School website www.umbc.edu/gradschool.



Andrei Draganescu, February 25, 2010