|
Date |
|
Day |
Chap |
Topics |
| Jan |
12 |
W |
|
Introduction |
| |
14 |
F |
1 |
Computer Arithmetic/Loss of Significance |
|
|
17 |
M |
|
No class |
| |
19 |
W |
1 |
Algorithms |
| |
21 |
F |
|
Classes cancelled |
| |
24 |
M |
1 |
Stability/Backward Error |
| |
26 |
W |
2 |
Linear Systems/Polynomial Interpolation |
|
28 |
F |
2 |
Matrices and
Triangular Systems |
| |
31 |
M |
2 |
LU Factorization |
| Feb |
2 |
W |
2 |
Pivoting/Matrix
Norms |
|
4 |
F |
2 |
Conditioning of Linear systems |
| |
7 |
M |
3 |
Fitting Functions to Data |
|
|
9 |
W |
3 |
Normal Equations |
| |
11 |
F |
3 |
QR Factorization |
|
|
14 |
M |
|
Exam I |
| |
16 |
W |
4 |
Root Finding |
| |
18 |
F |
4 |
Fixed Point Iteration |
| |
21 |
M |
4 |
Newton's Method - One Variable |
|
23 |
W |
4 |
Secant Method |
|
25 |
F |
4 |
Nonlinear Systems, Quasi-Newton Methods |
|
|
28 |
M |
4 |
Nonlinear Least Squares |
| Mar |
2 |
W |
5 |
Piecewise Linear Interpolation |
|
4 |
F |
5 |
Cubic Splines |
|
|
|
|
Spring Break March 5-13 |
| |
14 |
M |
5 |
Finite Differences |
| |
16 |
W |
|
Integration in Software |
|
|
18 |
F |
5 |
Numerical Integration |
| |
21 |
M |
5 |
Adaptive Integration |
| |
23 |
W |
|
Review |
|
|
25 |
F |
|
Exam II |
| |
28 |
M |
6 |
Initial Value Problems - Algebraic vs
Numerical |
| |
30 |
W |
6 |
Euler's Method |
|
Apr |
1 |
F |
|
Projects for Project 2 |
| |
4 |
M |
6 |
Systems of Equations and Runga-Kutta |
| |
6 |
W |
6 |
Adaptive Methods |
| |
8 |
F |
6 |
Multistep Methods |
| |
11 |
M |
7 |
Eigenvalue Problems |
| |
13 |
W |
7 |
Matrices and Images |
|
|
15 |
F |
|
No Class (14-15) |
|
18 |
M |
7 |
Eigenvalue Decomposition |
|
|
20 |
W |
7 |
Singular Value Decomposition |
|
22 |
F |
7 |
Jordan Forms |
| |
25 |
M |
|
Fourier Analysis |
|
27 |
W |
|
FFT |
|
29 |
F |
|
Random and Pseudorandom Numbers |
| |
27 |
M |
|
Epilogue |
|
May |
3 |
T |
|
Reading Day |
|
|
9 |
M |
|
Final 8:00-11:00 AM |