Math 512-1 Fall 2003

Numerical Linear Algebra

Blackboard

Most course materials and announcement will be posted on Blackboard. This website is for general information only.

Course Info

Classroom Hours:
MWF 10-10:50 a.m.
Classroom Location:
133 TMCB (lab: 149 TMCB: usually Friday)

Instructor:
Sum Chow (http://www.math.byu.edu/~schow)
Email/ Phone
schow@math.byu.edu (801)422-9088

Class Web Page:
http://www.math.byu.edu/~schow/math512F2003.html
Office Hours:
MWF 11am--12 noon and by appointment.

Textbooks :

1. (Required) Numerical Linear Algebra, N. Trefethen and D. Bau, SIAM, 1997.

2. (Recommended) A Multigrid Grid Tutorial, W. Briggs, V. E. Henson, S. F. McCormick, SIAM, 2000, Second Edition.

References:

1. Matrix Computations, Gene H. Golub and Charles F. Van Loan, Johns Hopkins University Press, Baltimore, 3rd edition.
2. Afternotes goes to Graduate School, G.W. Stewart, SIAM, 1998.
3. (Basic linear algebra text) Linear Algebra and its Applications, G. Strang, Harcourt, 3rd ed. 1988.

Pre-requisite:

Pre-requisite: Math 311, Math 343, or instructor's consent. Computer literacy (meaning programming skill) is expected.. Strong undergraduate linear algebra background preferred.

Course Objective:

To familiarize the students with the fundamental concepts in numerical linear algebra and to enable them to apply materials learned in the course to compute the solutions related to linear systems efficiently and to assess the quality of the solutions.

Syllabus:

From Catalog: Numerical matrix algebra, orthogonalization and least squares methods, unsymmetric and symmetric eigenvalue problems, iterative methods, Lanczos methods, advanced solvers for partial differential equations. Some related topics and mathematical software tools will also be discussed. Please note that I am assuming that you are already familiar with most the background materials in the textbooks and consequently will be limiting my discussion on those topics in class.

Fall 2003 Syllabus will also be posted on Blackboard.

Homework:

Homework will not be collected. Students are expected to work on all the homework problems. Occasionally, students will be asked to present homework solutions in class.

Reminder: assigned homework is representative of the minimal set of problems that you should attempt. In general you should also work on as many unassigned problems as possible.

Collaborative discussion is encouraged when completing homework and project assignments. However, plagiarism is not acceptable (see Honor Code.)

Tests:

Two mid-term take home tests are currently scheduled. Made up test may not be arranged except in case of emergency or absence due to official university business. If you want to attend special events, e.g., your sister's wedding or your nephew's baptism, you may arrange to take the test up to a week prior to but not after the set test date.

Projects:

Three class projects will be assigned, including a final project. Further information will be provided shortly.

Final:

Final will be comprehensive. Wednesday, December 17 2003, 11:00 a.m. to 2:00 p.m. at 133 TMCB.

Course Grade:

Course grade will be calculated from the following distribution

Homework/Presentation	5 %
Test (2)	30 %
Class Projects (4)	40 %
Final	25 %

Please keep track of your homework, quizzes, and examination scores so that you will be able to determine your grade during the course. Grades will not be posted at the end of the semester.

Resources

Numerical Analysis Resources (STILL under construction)

Miscellaneous

Preventing Sexual Harassment

Title IX of the Education Amendments of 1972 prohibits sex discrimination against any participant in an education program or activity that receives federal funds. The act is intended to eliminate sex discrimination in education. Title IX covers discrimination in programs, admissions, activities, and student-to-student sexual harassment. BYU's policy against sexual harassment extends not only to employees of the university but to students as well. If you encounter unlawful sexual harassment or gender based discrimination, please talk to your professor; contact the BYU Equal Employment Office at 422-5895; or contact the Honor Code Office at 422-2847.

Students with Disabilities

Brigham Young University is committed to providing a working and learning atmosphere that reasonably accommodates qualified persons with disabilities. If you have any disability that may impair your completing this course successfully, please contact the University Accessibility Center ( 422-2767.) Please also inform the instructor about your situation during the first week of class. Reasonable academic accommodations are reviewed for all students who have qualified documented disabilities. Services are coordinated with the students and the instructor by the UAC. If you need assistance or if you feel you have been unlawfully discriminated against on the basis of disability, you may seek resolution through established grievance policy and procedures. You may contact the Equal Employment Office at 422-5895, D-282 ASB.

Dress and Grooming Standards

The dress and grooming of both men and women should always be modest, neat, and clean, consistent with the dignity adherent to representing The Church of Jesus Christ of Latter-day Saints and any of its institutions of higher learning. Modesty and cleanliness are important values that reflect personal dignity and integrity, through which students, staff, and faculty of BYU represent the principles and standards of the Church.

Honor Code

As a reminder, students are expect to adhere to the Honor Code. In particular, academic dishonesty will not be tolerated.