Math
142 

Ordinary
and
Partial
differential equation

Fall
20142015 

Instructor: Prabath Silva, 274 Sloan,
6263954346
Office Hours: TBA

A partial differential equation (PDE) is a
differential equation that contains unknown multivariable functions and
their partial derivatives. They are used to describe a wide variety of
phenomena such as sound, heat, electrostatics, electrodynamics, fluid
flow, or elasticity.
In this course, we begin by discussing three model cases in detail: the
Laplace equation, the heat equation and the wave equation. We will then
introduce distributions and discuss the notion of a `fundamental
solution'. Finally, we introduce Sobolev spaces, investigate their
properties and use them to solve general second order elliptic equation.

 Partial Differential Equations by Lawrence C.
Evans, ISBN 0821807722
(recommended but not required)


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