Abstract
The main purpose of this talk is to disseminate information regarding the integration of technology into Math 2310, Applied Differential Equations I, that has taken place at the University of Wyoming over the past four years. The chosen Computer Algebra System (CAS) is Maple. Other options are available which could be used instead requiring adaptation of the Maple based materials that have been developed.
Full integration of the CAS is paramount
to successful introduction
of technology into Math 2310. Students must be convinced of the
effectiveness
of the package early and asked to use it continually. Breaking from the
traditional structure of the course, one of the three weekly lectures
was
replaced by a two-hour lab/problem session which I feel, through
hands-on
use of the technology as well as valuable student/teacher interaction,
greatly enhanced the students' understanding of course material.
Consideration
should be given to the adoption of this method.
Resources
Current text - Elementary
Differential Equations and
Boundary
Value Problems
Boyce & DiPrima, Seventh Edition (http://www.wiley.com).
CAS - Maple, (http://www.maplesoft.com).
Lab Packages - Several
options which have evolved over
the course of this implementation are available.
Copies and relevant information can be found at:
http://www.uwyo.edu/spitler
http://www.uwyo.edu/chen/labs.html
Integrated Weekly Homework
- Specific problems from the
text have be enhanced to include the
use of technology.
A list of these problems packaged into weekly assignments can be found
at:
Student Projects - A couple
of larger projects are
avaliable
which require significant student insight as well
as thorough written
compilation
of results.
http://www.uwyo.edu/chen/labs.html
Lab Reference:
First Order Equations
(Chapters 1 & 2)
------------
Lab1-Lab4
Second Order Linear with Constant Coef. (Chapter 3)
-- Lab5-Lab8
Nth Order Linear with Constant Coef (Chapter 4) ------
Lab9-Lab10
Laplace Transforms (Chapter 6) ------------------
Lab11-Lab12
The Latex-formatted labs also require
encapsulated postscript
figures
which must be placed in a file called
<figs.f> in the directory where the latex file resides.
Here
is a tar file of the <fig.f> directory - figures.tar
Please direct any questions to spitler@uwyo.edu