"Composite Algorithms in the Teaching of Mathematical Methods" Brian Dupee, University of Bath, U.K. * Raquel Martinez, Polytechnic University of Madrid, Spain Santiago Tapia, Polytechnic University of Madrid, Spain The combination of the power of symbolic systems and the reliability of numerical methods together with graphical facilities has significant uses in the teaching of mathematical methods to scientists and engineers. This presentation will describe a prototype package which uses algorithms created within the symbolic algebra system Axiom, numerical routines from the NAG Libraries together with the easy-to-use facilities of modern graphical interfaces. The application considers the implementation of different techniques, both symbolic and numeric, for the analysis and calculation of interpolating functions for curve fitting with the intention of providing scientists, engineers and their students with a graphical student-friendly tool for the understanding and explanation of relationships between interpolation methods.