Week |
Date |
Topic/Materials |
Homework/Test etc. |
1 |
Tue Sep 7 |
Introduction
|
|
Thu Sep 9 | Floating
Point, Round
off error, Loss
of Significance; Numerical
Stability, Condition
Number (344:28) |
|
Fri Sep 10 |
Horner
scheme, Taylor's theorem |
Homework 1 using
Layout |
2 |
Mon Sep 13 |
Root-finding, Bisection (344:5) |
|
Tue Sep 14 |
Fixed
Point, Cobweb
Plot, Fixed-point
Iteration |
|
Thu Sep 16 |
Newton's
Method (344:3,
4); Secant
method (344:6) |
|
Fri Sep 17 |
Rate
of convergence |
Homework 2
using
Logic |
3 |
Mon Sep 20 |
Interpolation
(344:19)
, Polynomial interpolation,
Lagrange
Polynomial |
|
Tue Sep 21 |
Newton
polynomial, Divided
Differences |
(drop deadline) |
Thu Sep 23 |
Neville's
Algorithm |
|
Fri Sep 24 |
|
Homework 3
using
Flow |
4 |
Mon Sep 27 |
Numerical Differentiation (344:27) |
|
Tue Sep 28 |
Richardson Extrapolation |
|
Thu Sep 30 |
|
|
Fri Oct 1 |
study guide |
Test on material through homework 3 |
5 |
Mon Oct 4 |
Numerical Integration,
Newton-Cotes formulas (344:21, 22) |
|
Tue Oct 5 |
Romberg Integration |
|
Thu Oct 7 |
Adaptive Quadrature |
|
Fri Oct 8 | Gaussian
Quadrature | Homework 4
using
Intros |
6 |
Mon Oct 11 |
Numerical ordinary differential equations (344:29); Lipschitz continuity |
(drop deadline with WP/WF) |
Tue Oct 12 |
Euler method (344:30) |
|
Thu Oct 14 |
Runge-Kutta methods (344:31) |
|
Fri Oct 15 |
Explicit and implicit methods |
Homework 5
using
Symbols |
7 |
Mon Oct 18 |
Stiff equation |
|
Tue Oct 19 |
Linear
multistep method |
|
Thu Oct 21 | Numerical
stability | |
Fri Oct 22 |
|
Homework 6 using
Graphs
|
8 |
Mon Oct 25 | System
of linear equations, Invertible
matrix (344: 8,
10);
Gaussian
elimination (344: 9)
|
|
Tue Oct 26 | Pivoting
(344: 11);
LU
decomposition (344: 12) |
|
Thu Oct 28 |
Norm; Normed vector space; Matrix norm; Condition Number
|
|
Fri Oct 29 |
study guide |
Test on material through homework 6 |
9 |
Mon Nov 1 | Eigenvalue,
eigenvector and eigenspace (344: 14;
15)
; Characteristic
polynomial; Spectral
radius | |
Tue Nov 2 | Power
iteration, Inverse
iteration (344: 16) |
|
Thu Nov 4 |
Newton's method (344: 13) |
|
Fri Nov 5 |
Neumann series
| |
10 |
Mon Nov 8 |
|
Project presentations |
Tues Nov 9 |
|
Project presentations |
Thu Nov 11 |
Veteran's Day, no class |
Fri Nov 12 |
|
Project presentations |
11 |
Mon Nov 15 |
Review, study guide |
Project reports due |
12 |
Mon Nov 22 |
Final Exam
12:20-2:20pm, in our classroom.
|