Catalog Description: 
Discrete deterministic models. Applications of graph theory, linear
programming, game theory, election theory, and finite difference
equations. Computer simulation. Case studies in areas of student's
choice.

Prerequisites: 
CIS 181 Computer Programming I and MATH 211 Calculus III

Course Coordinator: 
Douglas C. Phillippy, Ph.D., Associate Professor of Mathematics

Course Audience: 
Mathematics majors whether planning on a career in industry or
in teaching. Open to all students.

Course Objectives: 
A course in mathematical modeling differs from a course in applied
mathematics in one important way. Applied mathematics courses are
typically taught as mathematics in search of an application.
A mathematical modeling course is centered on real world situations in
search of some appropriate mathematics. Thus the following objectives
distinguish this course from other mathematics courses in the
curriculum:
 To change the student's world view, so as to see the pervasiveness
of mathematics in the natural sciences.
 To give teams of two or three students an opportunity to work together
to solve realworld problems of the kind that professional
applied mathematicians are paid to do.
 To discover the usefulness of discrete deterministic models in
areas such as social choice, finance, and population growth.
 To learn powerful ideas of mathematics like "transformsolveinvert"
and Polyalike strategies for attacking problems like looking
for analogies and solving just a useful part of a problem.
 To learn to explain the mathematics that one has used to solve
a problem both in formal writing and in oral presentation.

Topics: 
 Develop a mathematical representation of a problem
or situation.
 Analyze the resulting mathematical structures.
 Research conclusions or decisions.
 Translate the results into the language of the
original problem.
 Estimate how good the results are.

