MTH 431 - Partial Differential Equations
For dynamical systems with a large number of state variables, their representation via ordinary differential equations becomes unfeasible. This course lays the foundation of partial differential equations (PDEs), which play a central role in physics, acoustics, and thermodynamics. Topics include boundary value problems, Fourier series, the heat equation, vibrations of continuous systems, the potential equation, and spectral methods.
Prerequisites & Notes