Numerical approach to ODEs and optimization
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.
Well, all hell has broken loose. The zomb-pocalypse is happening!
Using numerical methods to solve ordinary differential equations.
The Frisbee is one of the simplest objects for which air resistance not only slows down the object, but also provides noticeable lift. As a first larger project, you will explore the flight of a frisbee using a fairly simple model that still provides some insight on the physics involved.
A brief introduction to root-finding, the nitty-gritty of floating point mathematics, and optimization.
In this lab, you will use a simple example to practice the skills you need to complete Project 1.
Solutions to the three levels for Project 1, but implemented using the SciPy library as a small demonstration of the depth of the Python ecosystem for scientific computing.
"Change is the only constant" -
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.