Science of Predictive Modeling

This is a course that I am teaching in Winter 2026.

Here is the syllabus

This is a one-of-a-kind** course, and I will be posting some supplementary materials here.

**Context: There are excellent classes in physics, mathematics and computational science. This class sits the intersection of all three and focuses on predictive modeling as a science of its own. As a result, we will not be too physicsy or mathy or computy, but will try to sufficiently manage depth.

Some notes:
Circular Scatterers & Two Hard Disks : A great problem to learn a lot of concepts
Complete derivation of Boltzmann Equation for Hard Spheres
The Operator Viewpoint : Forward & Backward Kolmogorov / Perron-Frobenius & Koopman

Some videos:
Bernoulli & Poisson distributions and application to particle collisions
Information Theory Concepts
Introduction to Meso scale modeling
Boltzmann Equation insights
The Operator Viewpoint