The main topics covered in Math 270B include: iterative methods for nonlinear systems of equations, Newton's method. Unconstrained and constrained optimization. Iterative methods for large sparse systems of linear equations. The Weierstrass theorem, best uniform approximation, least-squares approximation, orthogonal polynomials. Polynomial interpolation, piecewise polynomial interpolation, piecewise uniform approximation. Numerical differentiation: divided differences, degree of precision. Numerical quadrature: interpolature quadrature, Richardson extrapolation, Romberg Integration, Gaussian quadrature, singular integrals, adaptive quadrature.
Grading options:
| Written HW: | 30% | |
| Final (Wednesday March 18, 11:30a--2:30p): | 70% |
Students intending to take the Mathematics Department PhD/MA qualifying examination in Numerical Mathematics in the Spring of 2009 must take the class for a letter grade.
Some homework assignments will require the use of the package Matlab, although no prior knowledge of Matlab is assumed. All students registered for the class will be assigned a UCSD computer account.
|
|
|
I prefer not to answer technical questions by email (n emails for me to understand your question, m emails for you to understand my answer), but students are welcome to attend my office hours or see me after class.
|
Lecture slides |
Supplementary Class Notes |
Homework Assignments |
Homework Solutions |
| Instructor: | Philip E. Gill | |
| Time: | MWF 12:00p--12:50p | |
| Class Location: | AP&M Room 2402 | |
| Office Hours: | MWF 3:00--4:00 (or by appointment) |
| TA: | Michael Ferry (mwferry@math.ucsd.edu) | |
| Place: | 5801 AP&M' | |
| Office Hours: | TBA |