### Differential Equations with Applications to Biology

I designed lab sections for this course that go beyond the lectures and give students exposure to the material’s applications to biological and scientific problems. Each week, the lab centers on a differential equations topic from the week’s lecture applied to specific mathematical biology problems: population models in ecology, neural models, modeling mechanical ventillation, Newton’s law of heating and cooling, circadian rhythms, lake pollution, and more.
The lab sections do more than just give students exposure to the many applications of differential equations; through the lab write-ups, they develop skills that otherwise aren’t taught in a typical differential equations course. The labs contain a significant amount of MATLAB coding, where students have to either plot their analytic solutions to ODEs or solve them numerically in order to illustrate the dynamics and answer biological questions.
The coding portions of these labs are mainly used to develop figures, which students must then explain in words in their lab write-ups. The lab sections thus also develop students’ non-quantitative skills, such as working collaboratively and scientific writing, which I think is an essential part of an advanced mathematics curriculum.