|
Instructor: |
Yan,
Jue |
|
Office: |
Carver
Hall 484 |
|
Class
location: |
MWF
10:00 -10:50AM Carver Hall 0128 |
|
E-mail: |
|
|
Office Number: |
294-8166 |
Textbook: Numerical Mathematics, by Hammerlin and Hoffmann.
Extra – Numerical ODE
Totally we will have ten assignments. Assignments
We
will have one in-class midterm exam and
one in-class final exam. No make-up
exams.
If
you have to miss an exam due to an emergency, please contact me within 48
hours.
Tentative Lectures Schedules:
|
Time
Table |
Covers |
|
Week 1 |
Floating
point arithmetic and error analysis |
|
Week 2 |
Preliminaries
on linear functional space |
|
Week 3 |
Weierstrass
approximation theorems |
|
Week 4 |
General
approximation and uniform approximation |
|
Week 5 |
Least
square methods |
|
Week 6 |
Interpolation
methods and remainders |
|
Week 7 |
Equidistant
interpolation points and numerical differentiaion |
|
Week 8 |
Convergence
of interpolation polynomials |
|
Week 9 |
Polynomial
splines |
|
Week 10 |
Interpolation
splines |
|
Week 11 |
B-splines |
|
Week 12 |
Basic
quadrature rules |
|
Week 13 |
Error
analysis and extrapolation |
|
Week 14 |
Gauss
quadrature and multidimensional integration |
|
Week 15 |
Numerical
methods for solving ordinary differential equations |
Last modified: Thursday, August 14, 2008