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 
Rootfinding, Bisection (344:5) 
Tue Sep 14 
Fixed
Point, Cobweb
Plot, Fixedpoint
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,
NewtonCotes 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 
RungeKutta 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
12:202:20pm, in our classroom.
