Math 347: Mathematical Models, Fall 2012
Tuesday and Thursday 2:40-4:00pm
Textbook
A First Course
in Mathematical Models, Fourth
Edition, by Giordano, Fox, Horton, and Weir
Office
Hours (Hayes 309-A)
Monday 2:10-3:00pm
Tuesday
12:10-1:00pm
Wednesday
11:10am-12:00pm
Thursday
9:10-11:00am
Homework
|
Lesson |
Date |
Section(s) |
Topic |
Homework |
Due |
|
1,
2 |
9/4/2012 9/6/2012 |
1.1-1.2 |
Modeling
and Approximating Change |
Lab 1: King Kong – summarize your results in a one page write-up
for Peter Jackson. Read Sections 1.1 and 1.2. |
Tuesday, 9/11/2012 |
|
3 |
9/11/2012 |
1.3-1.4 |
Dynamical
Systems and Difference Equations |
Read Sections 1.3 and 1.4. Read Zombie #1 and Zombie #2. Read Mass-action paper. |
Thursday, 9/13/2012 |
|
4 |
9/13/2012 |
2.3 |
Latex/Matlab More
on Scaling. |
Skim West et al. paper. Work on Matlab hand-out. Attempt at least one of the problems at
the end of the worksheet. Write beginning of literature review (Use LaTex and BibTex.
Include at least two sources. For each one, give a brief overview and state
current comments/questions.) |
Tuesday, 9/18/2012 |
|
5,6 |
9/18/2012 9/20/2012 |
12.1-12.5 |
Matlab, Systems
of Differential Equations, Euler’s Method |
First draft of zombie literature review, including choice of
focus. Implement Euler’s method. |
Thursday, 9/27/2012 |
|
7,8 |
9/25/2012 9/27/2012 |
|
Sensitivity
Analysis, Robustness |
Zombie literature review with proposal. |
Thursday, 10/4/2012 |
|
9 |
10/9/2012 |
|
More
on SIR, Jacobians |
Euler’s method problems Dynamical systems problems |
Tuesday, 10/9/2012 |
|
10 |
10/16/2012 |
|
Zombie
Discussion, Discrete Dynamical Systems |
Final draft: zombie literature review and proposal. |
Thursday, 10/18/2012 |
|
11 |
10/18/2012 |
|
Discrete
Dynamical Systems Graphical Analysis |
Cobwebbing problems |
Tuesday, 10/30/2012 |
|
12 |
10/23/2012 |
|
Cobwebs
and Zombies |
|
|
|
13 |
10/25/2012 |
Ch
5-6 |
Chapter
Proposal Work, Discrete Probability Models |
Chapter proposals (5-10 minute presentation) |
Tuesday, 10/30/2012 |
|
14 |
10/30/2012 |
Ch
5-6 |
Chapter
Proposals, Continuous Probability Models |
Practice/discuss chapter plans with partner. Associated partner response assignment due within 2 days.
Homework set and solutions due by the first class day of your week. |
Danny – by 10/4 Katie – by 10/11 Will Bailey – by 10/25 Will Bowman – by 12/2 |
|
15 |
10/30/2012 |
Ch
5-6 |
Continuous
Probability Models |
Attempt remainder of in-class worksheet. |
Thursday, 11/1/2012 |
|
16 |
11/1/2012 |
Ch
5-6 |
Simulation
of Probability Models |
Monte Carlo simulation worksheet |
Thursday, 11/8/2012 |
|
17 |
11/6/2012,
11/8/2012 |
Ch
7 |
Optimization
of Discrete Models |
Simplex method worksheet (from Danny) |
Thursday, 11/15/2012 |
|
18 |
11/13/2012, 11/15/2012 |
Ch
8 |
Modeling
Using Graph Theory |
Baseball problem (from Katie) |
Thursday, 11/29/2012 |
|
19 |
11/27/2012, 11/29/2012 |
Ch
9 |
Dimensional
Analysis and Similitude |
TNT proposal worksheet (from Will Bailey) Check in on zombie project and proposed plan. |
Thursday, 12/6/2012 |
|
20 |
12/4/2012, 12/6/2012 |
Ch
13 |
Optimization
of Continuous Models |
Economics optimization homework problems (from Will Bowman) |
Thursday, 12/13/2012 |