Welcome to the
MA354 Spring 2012 course webpage!
Syllabus (pdf)
Course Calendar With Links
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Week |
Class |
Date |
Day |
Schedule |
Homework and Projects (Assigned This Day) |
Homework and Projects (Due This Day) |
|
|
1 |
1 |
18-Jan |
W |
1.0 Modeling
Intro |
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2 |
2 |
23-Jan |
M |
1.1 Modeling
Change |
HW 1.1: #1—4, 7, 8 |
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|
3 |
25-Jan |
W |
1.2 Approximating Change (..Projects) Project 1: Pop Growth (Excel) |
Project 1: Pop Growth (turn in responses as a hard copy or via e-mail and your Excel spreadsheet via e-mail) |
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|
3 |
4 |
30-Jan |
M |
1.3 Analytic Descriptions of Dynamical Systems |
HW 1.3: 1bef, 2bcegh, 5 |
HW 1.1 (Due This Day) |
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5 |
1-Feb |
W |
Project 1
Continued |
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|
4 |
6 |
6-Feb |
M |
Project 2: Finding Solutions to Dynamic Systems Numerically (Mathematica) |
Project 2: Long Term Behavior of Dynamical Systems |
HW 1.3 (Due This Day) |
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7 |
8-Feb |
W |
Project 2 |
|
Project 1 (Due This Day) |
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|
5 |
8 |
13-Feb |
M |
HW 1.4: Worksheet
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9 |
15-Feb |
W |
Project 3: Evolving a System in Mathematica |
Project 3: Modeling a Competitive Hunter System in
Mathematica |
Project 2 (Due This Day) |
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|
6 |
10 |
20-Feb |
M |
Mini-Project: |
HW 1.4 (Due This Day) |
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|
11 |
22-Feb |
W |
Project 3:
Group Presentations Begin Project
4 |
Project 4: Drug
Dosaging (Exponential Decay) |
Project 3 (Due Friday) |
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7 |
12 |
27-Feb |
M |
Continue Project
4 |
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|
12 |
29-Feb |
W |
Midterm Review, Review Project Instructions |
|
Project 4 (Due Friday) |
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8 |
13 |
5-Mar |
M |
12.5 Euler Method |
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14 |
7-Mar |
W |
Midterm |
Midterm Solutions |
Term Project Topics Due |
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9 |
12-Mar |
M |
Spring
Break |
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|
14-Mar |
W |
Spring
Break |
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|
10 |
15 |
19-Mar |
M |
Spatial Models: Diffusion |
Mathematica Script (Off-lattice Diffusion) |
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|
16 |
21-Mar |
W |
Spatial Models: Diffusion |
Octave Orientation (Directed Particle Motion – script ) (Directed Particle Motion – movie ) |
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|
11 |
17 |
26-Mar |
M |
Spatial Models: Diffusion |
Random Particle Motion (script
for movie) (script
for squared displacement) (script
for mean squared displacement) |
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|
18 |
28-Mar |
W |
Spatial Models: Diffusion and Aggregation |
Boundaries, Obstacles and Population Growth (script
for boundaries/obstacles) (script
for multiple particles) |
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|
12 |
19 |
2-Apr |
M |
Monte Carlo Models: Area of a Circle |
History Monte
Carlo Methods Estimating Pi
Worksheet (Mathematica Scripts) (Excel script) (Octave script) |
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|
20 |
4-Apr |
W |
Monte Carlo Models: Point Separation |
Point Separation Worksheet (Mathematica script) |
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|
13 |
21 |
9-Apr |
M |
Chaotic Theory and Weather: Lorenz Equation |
Modeling tornados: Lorenz Equation (script) |
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22 |
11-Apr |
W |
Statistical Mechanics: Energy Minimization and the Metropolis Algorithm |
Ferromagnetism (script) |
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|
14 |
23 |
16-Apr |
M |
1 presentation: Group 2 (K,K,M) – blood alcohol levels |
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24 |
18-Apr |
W |
3 presentations: Group 13 (R) – escape velocity with drag Group 3 (J,J,L) – mogwai
and gremlins pops Group 1 (E,C,J) – pain medication dosages |
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|
15 |
25 |
23-Apr |
M |
2 presentations: Group 6 (J,S) – mosquito populations Group 5 (J,N,K) – cooling soup |
Statistical Mechanics: The role of temperature in finding a minimum. (preliminary script) |
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26 |
25-Apr |
W |
2 presentations: Group 4 (J,J,N) – heat transfer Group 10 (C,S,C) – evacuation |
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16 |
27 |
30-Apr |
M |
3 presentations: Group 9 (W,L,J) – zombie populations Group 11 (R) – epidemiology Group 8 (D) –
antidepressants |
Statistical Mechanics: The role of temperature in finding a minimum. (script
with temperature) |
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28 |
2-May |
W |
LAST CLASS DAY |
(Work on Final Projects) Biological
Modeling Survey |
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