Teaching Engineering Field Theory Using IT

Abstract

In this paper it is argued that modern developments in technology, such as the spreadsheet, open out possibilities for different approaches to topics in engineering mathematics, for example field theory. The aim here is not to reduce mathematics for engineers to the level of pressing buttons, but it is to encourage a deeper understanding. The visualization capabilities of computer technology, and its strength in performing repetitive tasks, can allow and indeed encourage a review both of what mathematical skills and understanding are required of engineers now and also of the best approach to nurturing that understanding. For example in an approach to two- dimensional heat conduction, the initial emphasis may be shifted away from heavy manipulation and towards modelling, problem solving and building a conceptual framework. This allows students to develop an intuitive feel for typical problems before becoming entangled in some of the more complex analytical and mathematically sophisticated issues. The current example is only one of many where modern developments in technology may lead to a review of educational as well as engineering practice.