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Applied Partial Differential Equations - Farmingdale State College

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Applied Partial Differential Equations - Farmingdale State College Powered By Docstoc
					                 FARMINGDALE STATE COLLEGE
                STATE UNIVERSITY OF NEW YORK

DEPARTMENT:              Mathematics

PREPARED BY:             Dr. I. Neymotin
                         Fall 2011

COURSE TITLE:            Applied Partial Differential Equations

COURSE CODE:             MTH 385

CREDITS:                 3

CONTACT HOURS:           45

CATALOG DESCRIPTION:

                  This course is an introduction to partial differential equations.
                  Topics to be covered include introduction to heat, wave, and
                  Laplace equations, Fourier series, detailed analysis of numerical
                  methods, science applications. The usage of an appropriate
                  computer package is an integral part of the course.


PREREQUISITES:           MTH 253

REQUIRED FOR:

ELECTIVE FOR:            Applied Mathematics

REQUIRED TEXT:           Boundary Value Problems and Partial Differential Equations,
                         6th edition

AUTHOR:                  David L. Powers

PUBLISHER:               Elseveir, Inc 2010

REQUIRED SUPPLIES:
                   FARMINGDALE STATE COLLEGE
                  STATE UNIVERSITY OF NEW YORK
                                     Course Outline

MTH 385 Applied Partial Differential Equations


Methodology
                      The objective of this course is to solving boundary value problems
                      involving partial differential equations with emphasis on
                      mathematical modeling, showing the connection between the
                      mathematics developed and the physical reasoning.
                       The heat, wave, and potential equations are studied separately


Text: Boundary Value Problems and Partial Differential Equations, 2010




TOPIC                                                      CHAPTER       SECTION

Fourier Series                                             1             1.1 – 1.3
The Heat Equation                                          2             2.1 - 2.5
The Wave Equation                                          3             3.1 – 3.3
The Potential Equation                                     4             4.1- 4.3, 4.5
Fourier Integral                                           1             1.9
Heat Equation for Infinite Rod                             2             2.10, 2.11
Wave Equation in Unbounded Region                          3             3.6
Potential in Unbounded Regions                             4             4.4
Numerical Methods                                          7             7.1-7.4




Course Objectives
At the completion of this course, the student should be able to
              o design a meaningful mathematical model of a science process using
                  partial differential equations
              o use analytical, qualitative, and numerical methods to describe the
                  behavior of solutions to partial differential equations

				
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posted:11/26/2011
language:English
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