COURSE ANNOUNCEMENT
MATH 405 Section # 55456
SPRING 1996
MODELS IN BIOLOGY
Instructor: Lou Gross, Professor of Mathematics and Ecology
Time: 9:05 - 9:55 Monday, Wednesday and Friday
Place: Ayres Hall (Room TBA)
This course will provide an overview of mathematical modeling in the biological
sciences. The aim is to show how mathematical and analytical tools may be used
to explore and explain a wide variety of biological phenomena that are not
easily understood with verbal reasoning alone. We will begin by discussing the
various purposes for which one might construct a mathematical model, and
proceed with a description of the modeling process. This will be followed by an
introduction to several mathematical areas which have been found to be extremely
useful in biological modeling, in particular difference equations, and ordinary
and partial differential equations. Applications of these mathematical
techniques will be illustrated in a host of biological fields including
molecular, cellular, physiological, ecological, genetical, and agricultural
ones.
The course is oriented towards biological sciences students who may not have a
strong mathematical background. Prerequisites are a year of calculus (e.g. Math
141-142, 151-152, or the equivalent) as well as some exposure to biology at the
300-level. The course is available for graduate credit, and one of the course
objectives is to provide enough insight into biological modeling that
participants without a strong math background will be able to read with
understanding theoretical papers appearing in the current literature in their
respective biological fields of study. Note: this course does not satisfy math
requirements for either undergraduate or graduate students majoring in
mathematics. If such a student desires to learn about biological modeling, he
or she should contact the instructor about a special reading course in
conjunction with this one.
The text for the course is:
Mathematical Models in Biology
by Leah Edelstein-Keshet. Participants will be expected to regularly work
problems from this text and in addition will work on a individual project in a
biological area of particular interest to themselves. Any questions about the
course should be directed to the instructor in Ayres 208, phone 974-4295 or
e-mail to gross@math.utk.edu.