Math 512-1 Winter 2002
Numerical Linear Algebra
What's New?
Please check back for new information.
Course Info
 Textbooks
:
Main Text: Numerical Linear
Algebra, N. Trefethen and D. Bau, SIAM, 1997.
References:
1. Matrix Computations, Gene H. Golub and Charles F. Van Loan, Johns Hopkins
University Press, Baltimore, 3rd edition.
2. A Multigrid Grid
Tutorial, W. Briggs, V. E. Henson, S. F. McCormick,
SIAM, 2000, Second Edition.
3. Afternotes goes to Graduate School, G.W. Stewart, SIAM, 1998.
4. (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 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.
Winter 2002
Syllabus
Homework:
Homework will not be collected but will be discussed in class. 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:
Three tests are currently scheduled. See syllabus page for dates. 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 project due date is Saturday April 20th, 2002 10am.
Final:
There will be no written final.
Course Grade:
Course grade will be calculated from the following distribution
| Homework/Presentation
|
15 % |
| Test (3) |
45 % |
| Class Projects (2) |
20 % |
| Final Project |
20 % |
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)
Related links
Math Archives: Numerical
Analysis, Linear
and Matrix Algebra.
The Mathematical Atlas: Numerical
Linear Algebra
Computational Science Education Project:
Introductory Notes on Numerical Linear Algebra,
Computational
Linear Algebra (e-lecture), Numerical Linear Algebra (e-book).
Postscripts files of webpages are also available.
Freely Available
Software for Linear Algebra on the Web: J. Dongarra Templates for Numerical Linear
Algebra:: R. Barrett, M. W. Berry, T. F. Chan,
J. Demmel, J. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. van
der Vorst
Templates for the Solution
of Algebraic Eigenvalue Problems: A Practical Guide: Z. Bai, J. Demmel, J.
Dongarra, A. Ruhe, and H. van der Vorst (New book -- not
available in electronic form)
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 campus Equal Employment Office
at 378-5895 or 367-5689 (24-hours); or contact the Honor Code
Office at 378-2847.
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, which may impair your ability
to complete this course successfully, please contact the Services
for Students with Disabilities (SSD) Office at 378-2767. 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 in consultation by the SSD Office. 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 should contact the Equal
Employment Office at 378-5895, 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 expected to adhere to the Honor
Code. In particular, academic dishonesty will not be tolerated.
|
