Modelling physical systems with ODEs

"Change is the only constant" - Heraclitus

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

Feb. 26, 2019
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.

Zombie apocalypse

March 5, 2019
Well, all hell has broken loose. The zomb-pocalypse is happening!

Modeling a pendulum

March 12, 2019
Studying the behaviour of a pendulum beyond the small angle approximation by using numerical methods

Period in the real pendulum

March 12, 2019
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?

Magnetic pendulum part 1

March 26, 2019
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.

Magnetic pendulum part 2

March 27, 2019
Now that we have a working magnetic pendulum model, let's try to find out where the magnet ends up based on its initial position.