When I was young and just starting to study electromagnetism, I wondered, "Even though they are called the integral forms of Maxwell's equations, aren't they still differential with respect to time?" ...

We anticipate that students possess a grasp of fundamental mathematical concepts equivalent to those covered in the first year of studies for STEM majors at a US college. Additionally, a familiarity ...

I have been thinking about Brownian motion a lot lately.Random walks, Gaussian distributions, Ito calculus, stochastic differential equations, and diffusion equations.As I researched these, a certain ...

Physics-informed neural networks (PINNs) often struggle to solve stiff partial differential equations (PDEs) with moving boundaries, such as convection-dominated droplet drying with shrinking domains ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...