Linear Partial Differential Equations

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.)

Instructor(s)

MIT Course Number

18.303

As Taught In

Fall 2006

Level

Undergraduate

Cite This Course

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.

Archived Versions

Hancock, Matthew. 18.303 Linear Partial Differential Equations, Fall 2006. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-fall-2006 (Accessed). License: Creative Commons BY-NC-SA


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