Math 5740-1
Mathematical Modeling
Spring Semester, 2003
Instructor:
Office:
Office hours:
Contact:
Text:
Class homepage:
Class meetings:
David C. Dobson
LCB 210
MWF 10:30{11:30 or by appointment.
585-7660 or dobson@math.utah.edu
Notes and reference material will be provided.
http://www.math.utah.edu/dobson/5740.html
9:40{10:30 MWF LCB 323.
Description: This course is intended to
introduce the process and techniques of mathematical modeling,
develop skills in the communication of mathematics to mathematical and nonmathematical audiences,
encourage teamwork and group participation.
We will investigate several real-world problems involving a variety of mathematical models,
including ordinary and partial dierential equations, and problems involving optimization.
All models will require some computer implementation.
Format: The course will begin with two weeks of lectures on mathematical modeling tech-
niques, computational resources, and case studies. The heart of the course will then begin:
a sequence of in-depth mathematical modeling projects. Each project will begin with a
nonmathematical description of the real-world situation to be modeled and the goals of the
project, along with background material and sources for references. Students will break into
small groups determined by the instructor, and pursue the problem. Over the course of
each project, the instructor will present lectures on appropriate mathematical background
material, provide guidance and consultation, and monitor the progress of each group.
Grades: Students will be evaluated on performance and participation in the projects.
Each student will make at least one oral presentation and write at least one report during
the semester. Each group will receive a grade based on the overall quality of their project.
In addition, group members will evaluate each other regarding their contributions to the
project. Final individual grades will be determined by
1. oral report (25%),
2. written report (25%),
3. group results (30%),
4. peer grading (20%).