
Last
 Top  Next
Differential
Equations (92.236)
Course Goals
There
are a number of important goals for this course and many of these
have already been mentioned in the section on Course Description
and Requirements. However, since repetition is important to the
learning process, we will repeat and expand upon some of these
items here. In particular, when you have successfully completed
this course you should be able to perform the following tasks:

Systematically
analyze
physical systems governed by one
independent variable.

Develop
mathematical models of common physical
systems from basic principles (i.e. basic mass, energy, particle,
and force balances, etc.)

Solve
and interpret
the ordinary differential equations that result from the modeling
of physical systems:

Identify
an appropriate analytical solution technique
and solve a variety of first order ODEs and linear constant
coefficient ODEs for higherorder systems.

Apply
standard numerical solution techniques
(in Matlab) to general initial value problems (IVPs).

Use
symbolic computational capability
(in Matlab) to solve a variety of ODEs.

Implement
computer programs
(in Matlab) for evaluation, visualization, and analysis of a
given system.
Overall,
this course tries to develop a solid mathematical foundation in
differential equations and to give the student practical skills
for

modeling
and analyzing physical systems,

solving
ODEs both analytically and numerically, and

working
with Matlab to help simulate, visualize, and understand the
physical systems under study.
In
addition, through a variety of class examples and student homework
problems, a suite of useful tools for solving classical problems
is developed. These tools and a traditional mathematical foundation
in solving ODEs should give the student the necessary prerequisites
for more advanced studies in his or her upperlevel engineering
science and engineering design courses.
Last
updated by Prof. John R. White (January 2007)
Last
 Top  Next


