Week |
Date |
Topic/Materials |
Homework/Test etc. |
1 |
Mon Aug 27 |
Introduction
|
|
Wed Aug 29 | Floating
Point, Round
off error, Loss
of Significance; Numerical
Stability, Condition
Number (3600:28) |
|
Fri Aug 31 |
Horner
scheme, Taylor's theorem |
Homework 1 using
Layout |
2 |
Mon Sep 3 | Labor day holiday |
Wed Sep 5 |
Root-finding (discussion, resources), Bisection (discussion, exercises, solutions)(3600:5) |
|
Fri Sep 7 |
Fixed
Point, Cobweb
Plot, Fixed-point
Iteration (discussion, exercises, quiz) |
Homework 2
using
Logic (drop deadline) |
3 |
Mon Sep 10 |
Newton's
Method (exercises, quiz) (3600:3,
4); Secant
method (3600:6) |
|
Wed Sep 12 |
Rate
of convergence |
|
Fri Sep 14 |
Interpolation
(3600:19)
, Polynomial interpolation (example, exercises),
Lagrange
Polynomial (example, exercises) |
Homework 3
using
Flow |
4 |
Mon Sep 17 |
Newton
polynomial (example, exercises), Divided
Differences |
|
Wed Sep 19 |
Neville's
Algorithm, (quiz) |
|
Fri Sep 21 |
study guide |
Test on material through homework 3 |
5 |
Mon Sep 24 |
Numerical Differentiation (3600:27) |
|
Wed Sep 26 |
Richardson Extrapolation |
|
Fri Sep 28 |
|
Homework 4 |
6 |
Mon Oct 1 |
Numerical Integration |
|
Wed Oct 3 |
Newton-Cotes formulas (3600:21, 22) |
|
Fri Oct 5 |
Romberg Integration (discussion, code, example, exercises, quiz) |
Homework 5
using
Intros
|
7 |
Mon Oct 8 |
Adaptive Quadrature |
|
Wed Oct 10 | Gaussian
Quadrature (discussion, exercises, quiz) | |
Fri Oct 12 |
Numerical ordinary differential equations (3600:29); Lipschitz continuity |
Homework 6 using
Symbols
|
8 |
Mon Oct 15 |
Euler method (3600:30), Explicit
and implicit methods, Backward Euler method |
|
Wed Oct 17 |
Runge-Kutta methods (3600:31) |
|
Fri Oct 19 |
study guide |
Test on material through homework 6 |
9 |
Mon Oct 22 |
Linear
multistep method, (exercises) |
|
Wed Oct 24 |
Truncation error, Stiff equation |
|
Fri Oct 26 | Numerical
stability, (discussion, exercises, quiz)(quiz) |
Homework 7
|
10 |
Mon Oct 29 |
|
|
Wed Oct 31 | System
of linear equations, Invertible
matrix (3600: 8,
10);
Gaussian
elimination (3600: 9)
|
|
Fri Nov 2 | Pivot element
(3600: 11);
LU
decomposition (exercises, quiz) (3600: 12) |
(drop deadline with WP/WF) |
11 |
Mon Nov 5 |
Norm; Normed vector space; Matrix norm (exercises); Condition Number
|
|
Wed Nov 7 |
|
Homework 8 using
Graphs |
Fri Nov 9 | Eigenvalue,
eigenvector and eigenspace (3600: 14;
15)
; Characteristic
polynomial; Spectral
radius | |
12 |
Mon Nov 12 | Veterans Day holiday (observed) |
Wed Nov 14 | Power
iteration (exercises), Inverse
iteration (exercises) (3600: 16) |
|
Fri Nov 16 |
Newton's
method (3600: 13),
Neumann series
|
|
13 |
Mon Nov 19 |
study guide |
Test on material through homework 8 |
Wed Nov 21 | Thanksgiving holiday |
Fri Nov 23 | Thanksgiving (Columbus
day) holiday |
14 |
Mon Nov 26 |
|
|
Wed Nov 28 |
|
Project presentations start |
Fri Nov 30 |
|
Project presentations |
15 |
Mon Dec 3 |
|
Project presentations |
Wed Dec 5 |
|
Project presentations |
Friday Dec 7 |
Review, study guide |
Homework 9 and Project reports due |
16 |
Fri Dec 14 |
Final Exam
8:00-10:00am, in our classroom.
|