Fall 2012 -- Math 576: Numerical Analysis
Instructor: Dr. Wen-Qing Xu
Office: FO3-203
Phone: 562-985-1823
Email: wxu @ csulb.edu
Web: www.csulb.edu/~wxu
Classes: Tuesday/Thursday, 4:00-5:15PM,
LA5-245.
Office hours: Tuesday/Thursday 1:15-2:00PM, 6:45-7:15PM, and by appointment.
Textbook:
An Introduction to Numerical Analysis,
Second Edition, Kendall E. Atkinson, Wiley, 1989.
Prerequisites: Math 323, Math 361B, and Math 364A.
Goal:
To study various aspects of scientific
computing, approximation theory, and numerical solution of ordinary differential
equations. We will develop various numerical methods to address each
problem we study and we will compare these methods on the basis of
their accuracy, stability, efficiency, and practicality. Topics
include: direct and iterative methods for solving linear and nonlinear
systems of equations; solution of overdetermined systems by QR and
singular value decomposition methods; interpolation; numerical
differentiation and integration; approximation theory; Gaussian
quadrature; Runge-Kutta and multistep methods for solving ordinary
differential equations.
Grading Policy:
- Homework: 25%
- Exam 1: 25%
- Exam
2: 25%
- Final Exam 25%
Remarks:
- Class attendance is expected and will be checked from time to time. If you have to miss a class for a valid reason, please notify the instructor in advance.
- Homework problems will be assigned and collected approximately once every two weeks. No late homework will be accepted.
- There will be two midterm exams and a comprehensive final exam. There will be no make-up exams except in extremely unusual circumstances.
- Any office hour may be canceled due to illness or necessary appointments, students should therefore not depend upon a faculty member being in his/her office for a particular office hour. Students should secure any necessary signatures or other such requirements well in advance of any deadline.
- If you received permission to register for a closed class section, only you can enroll for the course. It is the student's responsibility to complete the registration process before the dates indicated in the Schedule of Classes.
- Please refer to the university policy and deadlines for withdrawals. It is the student's responsibility to withdraw from the course. The instructor has no obligation to withdraw students who do not attend classes, and may choose not to do so.
- Request for special need for accommodation of a University verified disability should be submitted within the first two weeks with all necessary documentation.