Use C, C++, or Java for the first three assignments, and Matlab for the
last one.
Date |
Main Topic ... Supplementary Material |
Assignments |
Thu, Sep 17 |
Course mechanics, introduction to modeling
| |
Tue, Sep 22 |
Simulation, population genetics
notes (epidemics)
notes (pop. genetics) |
|
Thu, Sep 24 |
Using random numbers
notes (RNGs)
plotting
workshop/epidemiology
|
|
Tue, Sep 29 |
Interpreting results, descriptive statistics
notes (statistics)
notes (binomial)
| |
Thu, Oct 1 |
Simulation: some examples
| |
Tue, Oct 6 |
Integration*
notes (integ.)
notes (Simpson)
Black-Scholes73
symbolic computation
666 |
Assignment 1 due |
Thu, Oct 8 |
Root finding, 1-d*
notes (root finding)
Press et al. example
zoom
zoom
N-R basins
lots of zeros
|
|
Tue, Oct 13 |
Optimization (1-d)*
notes (Optimization) |
|
Thu, Oct 15 |
higher dimensions (con't)
animation (wikipedia)
examples:
umich
IIR filters |
|
Tue, Oct 20 |
Constrained optimization, linear programming
examples:
diet$
portfolio$
FIR filters |
|
con't |
NP-completeness (sketch)
local search applications:
min-cost networks |
|
con't |
nat. gas pipelines
flowshop problem
gatech/proctor & gamble |
|
Thu, Oct 22 |
ODEs, basics
notes (ODEs)
notes (ODEs)
ODEs in Matlab and Maple
ditto
H1N1 study
|
|
Tue, Oct 27 |
notes (accuracy and stability) |
Assignment 2 due |
Thu, Oct 29 |
Chaos
notes (chaos)
chaos
Phillips curve
Barry Adams site
CAs
sonification
nonlinear pendulum
|
|
Tue, Nov 3 |
No class - fall break |
|
Thu, Nov 5 |
No class - fall break |
|
Tue, Nov 10 |
PDEs
notes (PDEs)
|
|
Thu, Nov 12 |
PDEs cont., heat & wave eqns.
notes (PDEs)
more
Dan Russell
2 waves
string
membrane
|
|
Tue, Nov 17 |
Solitons¶
FPU 55
Dauxois08
Soliton computing:
up to 2001
up to 2008
soliton collision
|
|
Thu, Nov 19 |
Sampling, DFT, FFT¶
notes (sampling, etc.)
sampling and aliasing*
Northern Cardinal
|
|
Tue, Nov 24 |
using the FFT¶
notes (using the FFT, etc.)
matlab intro§
Cardinal II
|
Assignment 3 due |
Thu, Nov 26 |
No class - Thanksgiving break |
|
Tue, Dec 1 |
more on using the FFT¶
|
|
Thu, Dec 3 |
Signal processing*
notes (2-D FFT and image processing)
two dies
Brayer/unm
goofy
jpg (Smith)
|
|
Tue, Dec 8 |
Local search¶
Solving linear systems*
examples
Great Lakes
|
|
Thu, Dec 10 |
Data modeling and least squares fitting*
more least squares*
|
|
Tue, Dec 15 |
More approaches to "intractable" problems¶
Linear systems: iterative and sparse methods*
Lord Kelvin¶
Japan
|
Assignment 4 due |
Thu, Dec 17 |
Discussion of student term paper proposals
|
Project prop. due |
Reading per. |
Term paper presentations, click
here for schedule |
Presentation due |
Tue, Jan 12 |
Dean's date |
Project due |