The goal is to provide a
fundamental introduction to numerical techniques used in mathematics,
computer science, physical sciences and engineering. The course will cover
the classical fundamental topics in numerical analysis such as: solving
systems of linear equations, least squares problems, eigenvalue problems,
and the singular value decomposition. Both direct and indirect methods
will be covered, as well as analysis of the sensitivity to rounding
errors. The viewpoint will be modern, with connections made to the main
currents of contemporary
research in numerical mathematics and its applications to the real world.
PREREQUISITES
Sufficient recall of undergraduate linear algebra and computer literacy
including familiarity with MATLAB.
TEXTBOOKS
The primary reference material for this course will be class
notes and topics from the text
Classical and Modern Numerical Analysis: Theory, Methods and Practice
by A. Ackleh, E. Allen, R. Kearfott, P. Seshaiyer (Chapman & Hall - CRC
Publishing).
COURSE DETAILS
Instructor: Dr. Padmanabhan Seshaiyer
Office:MATH 222B
Lectures: Thursday (7:20 pm - 10 pm)
Venue: Science and Tech II, Room 15
Office Hours: Thursday (5:00 pm - 6:30 pm) and by appointment
The grading scale will be 90-100: A, 80-89: B, 70-79: C,
60-69:D, Less than 60: F.
Homework
30%
Midterm Exam
20%
Computer Project
10%
Final Exam
40%
TOTAL
100%
Your grade for this course will be based on homeworks, midterm exam, final
exam and a computer project. All assessments must be turned in on time to
deserve full credit. The Final Exam is scheduled
to be on Thursday May 6, 2010 (7:30 pm-10:15 pm).
ACADEMIC INTEGRITY
All students will be expected to abide by the Honor Code: Student members of the George Mason
University community pledge not to cheat, plagiarize, steal, or lie in matters related to academic work
.
DISABILITY ACCOMODATION
Any student who, because of a disability, may require some special
arrangements in order to meet course requirements should contact the
instructor as soon as possible to make such accommodations as may be
necessary.