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 
Rootfinding (discussion, resources), Bisection (discussion, exercises, solutions)(3600:5) 
Fri Sep 7 
Fixed
Point, Cobweb
Plot, Fixedpoint
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 
NewtonCotes 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 
RungeKutta 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
8:0010:00am, in our classroom.
