Welcome to the MA354 Spring 2012 course webpage!

 

Syllabus (pdf)

 

 

Course Calendar With Links

 

Week

Class

Date

Day

Schedule

Homework and Projects

(Assigned This Day)

Homework and Projects

(Due This Day)

1

1

18-Jan

W

Syllabus

1.0 Modeling Intro

 

 

2

2

23-Jan

M

1.1 Modeling Change

HW 1.1: #1—4, 7, 8

3

25-Jan

W

1.2 Approximating Change (..Projects)

Project 1: Pop Growth (Excel)

Scripting Best Practices

Project 1: Pop Growth

(turn in responses as a hard copy

or via e-mail and your Excel spreadsheet via e-mail)

3

4

30-Jan

M

1.3 Analytic Descriptions of Dynamical Systems

HW 1.3: 1bef, 2bcegh, 5

HW 1.1

(Due This Day)

5

1-Feb

W

Project 1 Continued

 

 

4

6

6-Feb

M

Project 2: Finding Solutions to Dynamic Systems Numerically

(Mathematica)

Project 2: Long Term Behavior

of Dynamical Systems

Supplemental Instructions

HW 1.3

(Due This Day)

7

8-Feb

W

Project 2

 

Project 1

(Due This Day)

5

8

13-Feb

M

1.4 Systems and Finding Equilibria

HW 1.4: Worksheet

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)

6

10

20-Feb

M

11.0 Differential Equations

Mini-Project:

Exponential Decay

(Excel Code)

HW 1.4

(Due This Day)

11

22-Feb

W

Project 3: Group Presentations

Begin Project 4

Project 4: Drug Dosaging (Exponential Decay)

Project 3

(Due Friday)

7

12

27-Feb

M

Continue Project 4

 

12

29-Feb

W

Midterm Review,

Review Project Instructions

 

Project 4

(Due Friday)

8

13

5-Mar

M

12.5 Euler Method

 

 

14

7-Mar

W

Midterm

Midterm Solutions

Term Project Topics Due

9

12-Mar

M

Spring Break

 

 

14-Mar

W

Spring Break

 

 

10

15

19-Mar

M

Spatial Models: Diffusion

Mathematica Script (Off-lattice Diffusion)

16

21-Mar

W

Spatial Models: Diffusion

Octave Orientation

(Directed Particle Motion – script )

(Directed Particle Motion – movie )

11

17

26-Mar

M

Spatial Models: Diffusion

Random Particle Motion

(script for movie)

(script for squared displacement)

(script for mean squared displacement)

18

28-Mar

W

Spatial Models:

Diffusion and Aggregation

Boundaries, Obstacles and Population Growth

(script for boundaries/obstacles)

(script for multiple particles)

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)

20

4-Apr

W

Monte Carlo Models: Point Separation

Point Separation Worksheet

(Mathematica script)

13

21

9-Apr

M

Chaotic Theory and Weather:

Lorenz Equation

Modeling tornados:

Lorenz Equation (script)

22

11-Apr

W

Statistical Mechanics:

Energy Minimization

and the Metropolis Algorithm

Ferromagnetism (script)

14

23

16-Apr

M

1 presentation:

Group 2 (K,K,M) – blood alcohol levels

 

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

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)

26

25-Apr

W

2 presentations:

Group 4 (J,J,N) – heat transfer

Group 10 (C,S,C) – evacuation

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)

28

2-May

W

LAST CLASS DAY

(Work on Final Projects)

Biological Modeling Survey