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The Maple Summer Workshop and Symposium, MSWS '94, reflects the
growing commu nity of Maple users around the world. This volume
contains the contributed papers. A careful inspection of author
affiliations will reveal that they come from North America, Europe,
and Australia. In fact, fifteen come from the United States, two
from Canada, one from Australia, and nine come from Europe. Of
European papers, two are from Ger many, two are from the
Netherlands, two are from Spain, and one each is from Switzerland,
Denmark, and the United Kingdom. More important than the
geographical diversity is the intellectual range of the
contributions. We begin to see in this collection of works papers
in which Maple is used in an increasingly flexible way. For
example, there is an application in computer science that uses
Maple as a tool to create a new utility. There is an application in
abstract algebra where Maple has been used to create new
functionalities for computing in a rational function field. There
are applications to geometrical optics, digital signal processing,
and experimental design."
Modern software tools like Maple have the potential to alter
radically the way mathematics is taught, learned, and done.
Bringing such tools into the classroom during lectures,
assignments, and examinations means that new ways oflooking at
mathematics can becomepermanent fixtures ofthe curriculum. It is
universal access that will make a software-based approach to
mathematics become the norm. In 1988, with NSF funding under an III
grant, I had the opportunity to bring Maple into the calculus
classroom at Rose-Hulman Institute of Technology. Since then a new
curriculum based on the availability ofcomputer algebra systems has
evolved at RHIT and in my own courses. This volume contains a
record of some of the insights gained into pedagogy using Maple in
calculus. The activities and ideas captured in these Maple
worksheets reflect concepts in calculus imple mented in Maple.
There is an overt message to the reader that carries with it a side
effect. However, it is possible that for one reader the side effect
is the message and the message is the side effect I had intended to
put before my audience examples extracted from my Maple based
curriculum to entice a wider acceptance ofthe benefits of making a
computer algebra system become the basis of a revised calculus
syllabus. By examples I had hoped to demonstrate the "rightness" of
using software tools for teaching and learning calculus."
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