Schedule
The future is an everchanging thing—all lecture topics/dates and due dates are subject to change.
date  topic  reference  reading  due  

25  Jan  Introduction 
slides; climateprediction; CT; IIHS release; Bosch ESC paper; 5th gear segment; DUC; PageRank paper 

27  Jan  Floating point numbers 
Goldberg on “What
every computer scientist should know…” some things to try in Matlab 
Heath 1.3–4 (1.3.10–11 optional) 

1  Feb  Floating point  Approximation and precision  IEEE 7542008; numerical disasters  Heath 1.1–2  hw1 
3  Feb  Approximation and precision  
8  Feb  Root finding 
Heath bisection method demo; Heath Newton's method demo bisection_root; newton_root; 
Heath 5.1, 5.3–5 but only worry about m = n = 1 
hw2 
10  Feb  Root finding  Heath secant method demo  
15  Feb  Implicit surfaces  slides; Digimorph  hw3  
17  Feb  Applications 
slides;
rainbows
and hair scattering; Lomont and Eberly on fast inverse sqrt; a less obscure InvSqrt 

22  Feb  Linear systems  circuit example; scalar g.e.  implicit  
23  Feb  Prelim I at 7:30pm  
24  Feb  LU factorization  slides; vector g.e.; matrix g.e.  Heath 2.4.1–6  
1  Mar  Pivoting in Gauss and LU 
slides;
vector pivoting g.e.;
matrix pivoting
g.e. Vandermonde and pivoting demos 
Heath Ch 2; not 2.4.8–10  hw4 
3  Mar  Conditioning in linear systems  
8  Mar  Conditioning in linear systems  Matlab demo  hw5  
10  Mar  Linear least squares  Heath 3.1–3.5  
15  Mar  Linear least squares  hw6  
17  Mar  QR decomposition  QR notes  
22  Mar  Spring break  
24  Mar  Spring break  
29  Mar  QR decomposition  
31  Mar  Constrained least squares  
5  Apr  Singular value decomposition 
SVD notes; Todd Will's SVD tutorial 
Heath 3.6–7  hw7, p.2 
7  Apr  Singular value decomposition  
8  Apr  Prelim II at 7:30pm  
12  Apr  SVD and applications  hw7, pp.1,3  
14  Apr  SVD applications  lowrank apx (image)  
19  Apr  Conditioning of least squares problems  SVD notes  hw8  
21  Apr  Ordinary differential equations  Heath Ch.9 except 9.3.79.3.9  
26  Apr  Ordinary differential equations  Heath euler and taylor demos Heath rk and collocation demos  photogrammetry  
28  Apr  Ordinary differential equations  jode; Heath backward euler demo, backward euler notes, Baraff notes  
3  May  Data visualization  Stevens 1946; Edward Tufte; slides  
5  May  Data visualization  Wrapup  diffeq  
17  May  Final exam at 9:00 am 