Symbolic algebra systems in teaching and research

Abstract

Recent years have seen great advances in the development of Symbolic Algebra Systems (SAS). An SAS is a tool which allows symbolic calculations to be performed using a computer, and may handle anything from simple differentiation to complex nonlinear differential equations. A number of different systems are now available, including REDUCE, MAPLE, MACSYMA, muMATH, SMP and Scratchpad. Using MAPLE as our chosen SAS, illustrations will be given of the power of such tools. We also consider the place of an SAS in modern teaching and research. Although on a simple level an SAS may serve only to save time and ensure accuracy, more specialized applications show that it may now be feasible to carry out calculations which were not possible before such systems were available. In this respect an SAS may be a major contribution to research. Some comments are also made concerning the limitations and faults of MAPLE, and possible future developments.