We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

The course gives a thorough basis for understanding stochastic dynamics and models. We will in particular study Brownian motion and martingales, Ito’s stochastic calculus, stochastic integration and ...

Face-to-Face class that meets on designated campus. Students are expected to attend all class meetings on the days and times shown in schedule. Students who do not attend a class meeting by the end of ...

How agents acquire abstract concepts from sparse, diverse examples—often without explicit supervision—remains a central ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Science at Waterloo is a global leader in research that pushes the boundaries of knowledge and imagination. From black holes and quantum computing, to ensuring the health of our great lakes, or ...