Differential Equations and Non-linear Dynamical Systems (MAT4108.01)

Kathryn Montovan

Differential equations are a powerful and pervasive mathematical tool in the sciences and are fundamental in pure mathematics as well. Almost every system whose components interact continuously over time can be modeled by a differential equation, and differential equation models and analyses of these systems are common in the literature in many fields including physics, ecology, biology, astronomy, and economics. For example, the following can all be modeled as a system of differential equations: planets, stars, electric circuits, predator and prey populations, epidemics, and economics. We will start by studying the classical theory of ordinary differential equations then will develop dynamical systems approaches to understanding more complex non-linear systems. The goal throughout the course will be to better understand the behavior of the system being studied.

Prerequisites: Calculus. Suggested pre/co-requisite: Linear Algebra. Instructor will be available for registration in Barn 123h on 11/21 from 9-10am, 3-4 pm and 11/22 from 10-11 am.
Credits: 4
M/W/Th 8:30-9:50
Maximum Enrollment: 12
Course Frequency: Every 2-3 years
This course is categorized as All courses, Mathematics.