Many biological phenomena can best be examined through fairly sophisticated mathematical models. In particular, differential equation models have been used to explain fluctuations in food webs, the spread of disease, consequences of certain fishing practices, immune system response to infection, spatial distribution of species, formation of zebra stripes, and flux across cell membranes. We will introduce the mathematical machinery needed for these models, including the theory of ordinary differential equations, phase portrait dynamics, and partial differential equations. We will establish the biological assumptions that go into these models and examine the consequent dynamics. Format: lecture. Evaluation will be based on homework and exams. Prerequisite: Mathematics 105 and Biology 101 or equivalents thereof. No enrollment limit (expected: 30).