**Fall 2009
Syllabus**

**Math 343
Mathematical Modeling (3 hours)**

** **

**Instructor:** William Harris **Office:**
120 ASC

**Email:** wharris@georgetowncollege.edu **Phone:**
863-7921

**Instructor’s
Web Site:**
www.georgetowncollege.edu/departments/mpc/harris

**Course
Web Site:**
scholar.georgetowncollege.edu

** **

**Office
Hours:**
11:00-11:30 MWF; 2:00-3:00 MWF; 1:00-2:00
TR; also by appt.

** **

**Course
Description:**
An
introduction to the study of modeling real-world phenomena, with an emphasis on
applications to science. Topics include modeling using difference equations
and differential equations, simulation, matrix modeling and Markov chains, and
dimensional analysis.

**Prerequisite:** MAT125.

**Text:
**Giordano,
Frank R., Fox, William P., Horton, Steven B., and Weir, Maurice D., __A First
Course in Mathematical Modeling__, 4^{th} edition, Brooks/Cole, 2009.

**Course
Objectives: **To
introduce students to the process of formulation, analysis and verification of
mathematical models which reasonably describe real-world situations. To
introduce students to a variety of models in biology, chemistry, and physics.
To introduce students to software tools that aid in the modeling process.

**Requirements
of Course:**

1) *Homework
assignments*.
I will assign problems, more or less daily, based on recent class work. You
should expect homework to be collected 10-12 times over the course of the
semester.

2) *Projects*. I will regularly
assign projects or extended explorations. Some
of these will be completed individually, and some will be done in groups. I
expect to assign 4 or so individual projects and 3-4 group projects. The
projects will form a major part of your evaluation in the course.

3) *Field Trip.* On Monday,
October 19, we will tour the facilities at Oak Ridge National Laboratory, in
Tennessee. This will be a roughly 8:00am to 8:00pm experience. Attendance is
required.

4) *Exams*. There will be two
in-class exams during the semester; they will occur approximately in weeks 6
and 12. The final exam will come in two parts: an individual take-home
section, and a group project, which will include a written report and a
30-minute oral presentation during the final exam period (9-11am, Tuesday,
December 15). The take-home and the report are both due at 9am on the 15^{th}.

**Course
Outline:**
We will cover material from Chapters 1-7 and 11-13 of the text. Additional
topics will be addressed as time permits.

**Evaluation: **Homework: 25%

Projects: 35%

Exams: 20%

Take-home Final: 10%

Final Project: 10%

I would expect grades to be assigned according to the following scale:

**A:** 91-100; **A/B:**
88 up to 91; **B:** 81 up to 88; **B/C:** 78 up to 81; **C:** 70
up to 78;

**D:** 60 up to 70; **F:**
below 60. I reserve the right to adjust
this scale slightly at the end of the semester.

**Technology:** We will make
regular use of technological tools in this course. You will be introduced to
Vensim Simulation Software, which will allow you to construct models and
visualize the changes in the quantities being modeled, and to Matlab, a
technical computing/programming environment. We will likely make occasional
use of Microsoft Excel, as well. Prior experience with programming is not
expected, but it would extremely beneficial!

**Attendance:
**I
will be taking daily attendance. I’m not expecting this to be a problem, but
obviously, if you are repeatedly absent, we’ll have to talk about it.

**Cheating:** In a word,
DON’T. Please make sure you have read and understand the school policies on
“Academic Honesty” in your college Catalog. Recall also that there is an
Academic Honor Code present on this campus. If you are caught cheating in this
course, you will be dealt with appropriately.

**Bibliography:**

Allman,
Elizabeth S., and Rhodes, John A., __Mathematical Models in Biology: An
Introduction__, Cambridge University Press, 2004.

de
Vries, Gerta, et. al., __A Course in Mathematical Biology: Quantitative
Modeling with Mathematical and Computational Methods__, Society for
Industrial and Applied Mathematics, 2006.

Hannon,
Bruce, and Ruth, Matthias, __Dynamic Modeling__, 2^{nd} ed.,
Springer-Verlag, 2001

Maki,
Daniel, and Thompson, Maynard, __Mathematical Modeling and Computer Simulation__,
Brooks/Cole, 2006.

Meerschaert,
Mark M., __Mathematical Modeling__, 3^{rd} ed., Academic Press,
2007.

__Modeling
Resource CD__,
Consortium for Mathematics and Its Applications, 2004.

Mooney,
Douglas, and Swift, Randall, A __Course in Mathematical Modeling__,
Mathematical Association of America, 1999.

Shiflet,
Angela B., and Shiflet, George W., __Introduction to Computational Science:
Modeling and Simulation for the Sciences__, Princeton University Press, 2006.