Partial Differential Equations

The mathematics of distributed systems: heat flow, wave propagation, diffusion, Fourier methods, Green’s functions, and numerical approaches to solving PDEs.

Course Overview

Textbook

Strauss, Partial Differential Equations (or Evans, Partial Differential Equations)

Chapters

TBD

Sections

TBD

Prerequisites

Calculus III, Differential Equations

Target

Mathematical physics, numerical methods, engineering simulation

Status

Planned

Chapters will be scaffolded when this course becomes active.

Why This Course

  • Heat/diffusion — network propagation models, thermal management

  • Wave equations — electromagnetics, acoustics, signal propagation

  • Fluid dynamics — Navier-Stokes equations govern fluid flow

  • Quantum mechanics — Schrödinger equation is a PDE

  • Finance — Black-Scholes equation for option pricing