Use C, C++, or Java for the first three assignments, and Matlab for the
last one.
Date |
Main Topic ... Supplementary Material |
Assignments |
Thu, Sep 11 |
Course mechanics, introduction to modeling
IBM 704
Numerical computing* |
|
Tue, Sep 16 |
Simulation, population genetics
details (epidemics)
details (pop. genetics) |
|
Thu, Sep 18 |
Using random numbers
details (RNGs)
man random
auctions
binomial
Plotting |
|
Tue, Sep 23 |
Interpreting results, descriptive statistics
details (statistics)
Review of C
| |
Thu, Sep 25 |
Simulation
Madness
nasdaq
Competition
Bubbles in Pipeline
Wave Functions
| |
Tue, Sep 30 |
Integration*
details (integ.)
Simpson
Symbolic Computation |
Assignment 1 due |
Thu, Oct 2 |
Root finding, 1-d*
details (Root finding)
666
Buchanan, NYT 10/1/08
phase unwrapping |
|
Tue, Oct 7 |
Optimization (1-d)*
details (Optimization)
Black-Scholes73 |
|
Thu, Oct 9 |
higher dimensions (con't)
animation (wikipedia)
example (umich)
IIR digital filter design |
|
Tue, Oct 14 |
Constrained optimization, linear programming
Examples (Vanderbei)
FIR filter design |
|
con't |
NP-completeness (sketch)
Local search:
min-cost networks |
|
con't |
nat. gas pipelines
flowshop problem
gatech/proctor & gamble |
|
Thu, Oct 16 |
ODEs, basics
details (ODEs)
details (ODEs)
ODEs in Matlab and Maple
ditto |
|
Tue, Oct 21 |
details (accuracy and stability) |
Assignment 2 due |
Thu, Oct 23 |
Chaos
details (chaos)
logistic map
chaos
Phillips curve
cellular automata
Sonification |
|
Tue, Oct 28 |
No class - fall break |
|
Thu, Oct 30 |
No class - fall break |
|
Tue, Nov 4 |
PDEs
details (PDEs)
nonlinear pendulum
|
|
Thu, Nov 6 |
PDEs cont., heat & wave eqns.
details (PDEs)
more details (PDEs)
Dan Russell's demos
|
|
Tue, Nov 11 |
Solitons¶
FPU 55
Dauxois08
Soliton computing:
up to 2001
up to 2008
|
|
Thu, Nov 13 |
Sampling, DFT, FFT¶
details (sampling, etc.)
sampling and aliasing*
|
|
Tue, Nov 18 |
using the FFT¶
details (using the FFT, etc.)
matlab intro§
|
Assignment 3 due |
Thu, Nov 20 |
more on using the FFT¶
|
|
Tue, Nov 25 |
Signal processing*
details (2-D FFT and image processing)
|
|
Thu, Nov 27 |
No class - Thanksgiving break |
|
Tue, Dec 2 |
Solving linear systems*
examples
Lord Kelvin¶
Japan
|
|
Thu, Dec 4 |
Data modeling and least squares fitting*
more least squares*
|
|
Tue, Dec 9 |
Linear systems: iterative and sparse methods*
notes$ for Assign. 4 |
Assignment 4 due |
Thu, Dec 11 |
discussion of student term paper proposals
|
Project prop. due |
Tue, Jan 13 |
Dean's date |
Project due |