"Computer Algebra Systems in Applied Mathematics Education: 
 Experiences and Future Directions"

Peder Thusgaard Ruhoff(*) 
The Maersk Mc-Kinney Moller Institute for Production Technology 
Odense University, Campusvej 55, DK-5230 Odense M, Denmark


The development of sophisticated computer algebra systems such as 
DERIVE, MAPLE and MATHEMATICA has definitely changed the way many 
scientists and engineers are working. Therefore, in 1995 we decided  
to reform the applied mathematics curriculum at our institution and  
introduce the students to the use of computer algebra systems as tools in 
mathematical modeling, problem solving and research. 
We will in this presentation describe how this intiative has changed 
the way we teach applied mathematics and the way students 
study and learn. Further, we will report on the mainly positive 
experiences we have had during the first three years, e.g.\ students 
that become adventurous and begin to explore mathematical problems on 
their own. We will also present examples of specific student projects and 
exams. Finally, we discuss plans for the future use of these systems and 
present a list of features we would like to see in future computer 
algebra systems, such as on-line tutors.