| Date |
Topics |
Reading
|
HomeWork&Quiz |
01/15
Week 1
|
Introduction , Review of calculus
|
1.1,1.2 |
|
01/17
Week 1
|
Review of calculus,
Round-off error |
1.3
|
Hw0 |
| 01/22
Week 2 |
Errors in
Scientific Computation |
1.4 |
|
01/24
Week 2
|
Computer
Software |
1.5 |
Quiz1, Hw1
|
| 01/29
Week
3 |
Bisection Method |
2.1,2.2 |
|
| 01/31
Week
3 |
Secant Method |
2.3
|
|
| 02/05
Week 4 |
Newton's
Method |
2.4 |
Hw2 |
| 02/07
Week 4 |
Error Analysis and Survey of Methods, Introduction to interpolation
and polynomial approximation. |
2.5, 2.7 ,3.1 |
Quiz2 |
| 02/12
Week 5 |
Lagrange
Polynomials |
3.2 |
Hw3 |
| 02/14 Week 5 |
Divided
Difference |
3.3
|
|
02/19
Week 6
|
Hermite
Interpolation, Review |
3.4
|
|
| 02/21 Test I Week
6 |
Test I
|
|
|
| 02/26
Week 7 |
Spline
Interpolation |
3.5 |
Hw4
|
02/28
Week 7
|
Basic Quadrature
Rules |
4.1
|
|
| 03/04
Week 8 |
Composite
Quadrature Rules |
4.2,4.3 |
Quiz3 |
| 03/06
Week
8 |
Composite Quadrature Rules, Adaptive Quadrature Rules |
4.3,4.6
|
Hw5
|
| 03/07 (Last
Day to Drop)
Week 8 |
|
|
|
03/10 -03/14 Week
9
|
No Class - spring break
|
|
|
| 03/18 Week 10 |
Gaussian
Quadrature, Survey of method |
4.5,4.10 |
|
| 03/20
Week
10 |
Numerical Differentiation |
4.9 |
Quiz4 |
| 03/25 Week 11 |
Taylor Method, Runge-Kutta
Methods |
5.1,5.2 |
Hw6 |
| 03/27 Week 11 |
Runge-Kutta
Methods |
5.3 |
|
| 04/01
Week 12 |
Runge-Kutta-Fehlberg
Methods, Survey of
Methods |
5.6, 5.9 |
Quiz5 |
| 04/03
Week 12 |
Direct Methods
for Solving Linear Systems |
6.1-6.4 |
|
| 04/08 Week 13 |
Matrix Factorization, Review |
6.5 |
|
| 04/10 Test II
Week 13 |
Test II |
|
|
| 04/15 Week 14 |
Methods implementation,Eignenvalues
and
Eigenvectors |
6.7, 7.1-7.2 |
Hw7 |
| 04/17 Week 14 |
Jacobi Method and Gauss-Seidel Method |
7.3,7.4
|
|
| 04/22 Week 15 |
Approximation: Trigonometric Polynomial |
8.6
|
Quiz7, Hw8
optional |
04/24 Week 15
|
Fast Fourier
Transforms, Review |
8.7
|
|
05/01 Final
11:00-2:00pm
|
|
|
|