Linear Partial Differential Equations
As taught in: Fall 2006
Time evolution of the temperature distribution u(x,t) on a semi-infinite rod whose end (at x=0) is kept at 0. Initially (t=0), the temperature of the rod is 1 between x=0.5 and x=1.5, and is zero everywhere else. (Image by Dr. Matthew Hancock.)
Instructors:
Dr. Matthew Hancock
MIT Course Number:
18.303
Level:
Undergraduate
Course Features
Course Description
This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green's functions.
