Math 142
 
Ordinary and Partial differential equation
Fall 2014-2015
 
MWF 2:00 PM // 159 Sloan
Course Description | Policies | Textbooks | Lecture Notes | Handouts | Homework | Sections

Instructor: Prabath Silva, 274 Sloan, 626-395-4346
Office Hours: TBA


Course Description
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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.


Policies
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Textbooks
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  • Partial Differential Equations by Lawrence C. Evans, ISBN 0-8218-0772-2
    (recommended but not required)

Homework
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Due Date Homework 








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