# Applied Partial Differential Equations - Farmingdale State College by niusheng11

VIEWS: 6 PAGES: 2

• pg 1
```									                 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

```
To top