Math 116, Spring 2015
Topics in Applied
Mathematics
Dartmouth College, Department
of Mathematics
Course Time: MWF 10:00-11:05,
x-hour Th 12-12:50.
Classroom: TBA
Instructor: Olivia Prosper
Office: 318 Kemeny Hall
Phone: 603-646-1614
e-mail: Olivia.F.Prosper@Dartmouth.edu
Course description:
Biology presents complex problems requiring quantitative
approaches to tackle them. This term, Math 116 will serve as an introduction to
mathematical modeling in biology, with an emphasis in modeling disease
dynamics. You will learn to construct, analyze, and simulate models and
interpret your results within their biological context. The course
(tentatively) will focus on classical techniques for analyzing nonlinear
ordinary differential equations, model validation, and stochastic models in
biology. Time permitting, additional topics may touch on delay differential
equations and age-structured PDE models. By the end of the term, you will have
experience posing biological problems and using mathematics to elucidate them, as
well as an appreciation for the challenges at the interface of mathematics and
biology.