Ordinary Differential Equations (ODEs) can be used to model any process involving rates of change. Given Heraclitus' insight, you can see why ODEs are such an important tool in mathematical modeling.

The SIR model has proved incredibly useful in predicting the evolution of certain categories of infectious outbreaks and serves as our introduction to modeling systems with ODEs.

You learned that the period of a pendulum was independent from its amplitude. This was true under the small angle approximation. What can we say about the period when we go beyond that approximation?

A pendulum, made with a magnet, is moving over a surface with embedded magnets that are attracting the pendulum. In this lab, we want to model the trajectory of the magnetic pendulum.