Applied Ordinary Differential Equations

Web page for Spring 2001 course


Differential equations are an application of calculus used to model a wide variety of physical and natural phenomena. For example, the rate at which a cup of coffee cools, populations of predators and prey in ecosystems, the spread of disease, and the rate at which raindrops fall, are all examples of systems that have been described with differential equations. This course is a focused introduction to differential equations. Students will learn a variety of modern methods for solving differential equations, and will also learn techniques for forming models using differential equations. In so doing, we will discuss the benefits and shortcomings of this approach to mathematical modeling.

Evaluation will be based on class participation, weekly problem sets and a final project. Some computer work will be required, but no computer experience is necessary. The final project will consist of an in-depth study of a differential equation. This will include: a discussion of the phenomena the equation is intended to model; a derivation of the equation; a detailed solution to the equation; and a critical discussion of the results of the model. The project will be presented both orally and in writing.

Prerequisites: Calculus II or the equivalent or permission of instructor. Intermediate/Advanced. QR. ES. Lab fee $15.


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