Math 706 Spring 2008
Instructor
Dr. Lili Ju
Office: 418C LeConte College
Phone: (803) 576-5797
Email: ju@math.sc.edu
Office hours: MW 1:30-3:00pm or by appointment.
URL:
http://www.math.sc.edu/~ju/Homepage_files/teaching/math706_S08.html
Course Description and Meeting Times
Math 706, Numerical Linear Algebra , Cr. 3.
Description:This course is an introduction to graduate-level
numerical algorithms related to linear algebra.
It emphasizes both theoretical development of concepts and practical algorithm implementation.
The content includes matrix factorizations like SVD and QR, least squares, conditioning and stability,
eigenvalue problems, iterative methods for solution of systems.
Prerequisite: Math 700 or consent of the department
| Times and Place: |
MW 4:10pm-5:25pm, LeConte College 121 |
Textbook and Course Outline
TEXTBOOK :
Numerical Linear Algebra,
by Lloyd Trefethen and David Bau III, SIAM, 1997.
REFERENCES:
- Numerical Mathematics, by Alfio Quarteroni, Riccardo Sacco and Fausto Saleri,
Springer,
2000.
- Concise Numerical Mathematics, By Robert Plato, AMS, 2003.
- Iterative Methods for Linear and Nonlinear Equations, by C.T. Kelley,
SIAM, 1995.
- An Introduction to Numerical Analysis, By Endre Suli and David F. Mayers,
Cambridge University Press, 2003.
Matlab Tutorial
Tentative Schedule and Lecture Contents
| Weeks |
Content |
| Weeks 1 |
Fundamental concepts |
| Weeks 2 |
Singular value decomposition |
| Weeks 3-5 |
QR factorization |
| Weeks 6 |
Least squares problems |
| Weeks 7-9 |
Conditioning and stability |
| Weeks 10 |
Gaussian elimination |
| Weeks 11-13 |
Eigenvalue problems |
| Weeks 14-16 |
Iterative methods for linear systems |
Grading Policy
Your course grade is determined by Homeworks (40%), Midterm (30%) and Final
Exam (30%).
Attendance and Academic Honesty
Attendance at every class meeting is important and expected. Students missing
more than 10% of the class meetings (4 times) can have their grade lowered.
Cheating and plagiarism will not be tolerated. Violations of this policy will be
dealt with according to University guidelines.
Homework Assignments
Homework 1, due 2/4/2008 (Mon.).
Homework 2, due 2/20/2008 (Wed.).
Homework 3, due 3/7/2008 (Fri.).
Homework 4, due 3/19/2008 (Wed.).
Midterm Exam, 3/19/2008 (Wed.).
Answer
Homework 5, due 4/16/2008 (Wed.).
Homework 6, due 5/2/2008 (Fri.).
!!! Attention: Final Exam, 5/2/2008 (Friday),
LC407, 2:30pm-6:00pm