Archived Versions

18.303 Linear Partial Differential Equations

As taught in: Fall 2006

Matlab plot showing time evolution of a temperature distribution.

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.)




Dr. Matthew Hancock

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.

Technical Requirements

Special software is required to use some of the files in this course: .m.