This course will provide an introduction to the many ways in which mathematics can be used to understand, analyze, and predict biological dynamics. We will learn how to construct mathematical models that capture essential properties of biological processes while maintaining analytic tractability. Analytic techniques, such as stability and bifurcation analysis, will be introduced in the context of both continuous and discrete time models. Additionally, students will couple these analytic tools with numerical simulation to gain a more global picture of the biological dynamics. Possible biological applications include, but are not limited to, single and multi-species population dynamics, neural and biological oscillators, tumor cell growth, and infectious disease dynamics.
Format: lecture; Unless circumstances change, students will have the option of taking the course in person or remotely
Grading: no pass/fail option,
no fifth course option
problem sets, quizzes/exams, participation, final project and paper
MATH 250 and MATH 309, or permission of instructor
if over-enrolled, will have students submit reasons for taking class; preference to those with interest in both subjects
This course is cross-listed and the prefixes carry the following divisional credit:
The course will introduce methods for developing and analyzing mathematical models.
PHLH Methods in Public Health