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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:
physical systems governed by one
mathematical models of common physical
systems from basic principles (i.e. basic mass, energy, particle,
and force balances, etc.)
the ordinary differential equations that result from the modeling
of physical systems:
an appropriate analytical solution technique
and solve a variety of first order ODEs and linear constant
coefficient ODEs for higher-order systems.
standard numerical solution techniques
(in Matlab) to general initial value problems (IVPs).
symbolic computational capability
(in Matlab) to solve a variety of ODEs.
(in Matlab) for evaluation, visualization, and analysis of a
this course tries to develop a solid mathematical foundation in
differential equations and to give the student practical skills
and analyzing physical systems,
ODEs both analytically and numerically, and
with Matlab to help simulate, visualize, and understand the
physical systems under study.
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 upper-level engineering
science and engineering design courses.
updated by Prof. John R. White (January 2007)
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