Mathematical Modelling Courses for Engineering Education
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There is a gap between the mathematics taught to engineering students and the mathematics that engineers use in practice. The mathematics presented to undergraduates is often already in modelled form, there is always enough data, the solution is known, there is a preferred technique, and the students are expected to work by themselves. In practice the engineer will work on an ill-formulated problem and be expected to produce the model, will never have enough data, will never be perfectly sure if the solution is correct, and will be part of a team. Written by internationally renowned engineering scientists and researchers, this volume in the NATO Special Programme on Advanced Educational Technology addresses this gap by discussing the design of modelling courses. Fluid flow and heat transfer serve as examples.
Introduction11The Role and Practice of Mathematical Modelling in Industry Today72The Teaching of Mathematical Modelling173Using Maple in a Mathematical Modelling Course334Design of Mathematical Modelling Courses for Fluid Flow in Engineering Education595Integrating New Information Technologies into Engineering Mathematics Curricula756Examples of Matlab in Engineering Education837Issues Involved in Teaching Calculus with Computer Algebra Systems938A Global Approach to Finite Element Method1139Finite Element Method by Using Mathematica12910Ingmath: Software for Engineering Mathematics15311Power Series Solutions of ODEs15912Comments on the Teaching of Computational Fluid Dynamics16513Finite Difference Modelling of Two-Phase Flow Instabilities in Boiling Systems17914Numerical Modelling in Heat Transfer by Spectral Methods211A. Computer Algebra Systems in Mathematical Education239B. Mathematical Modelling in Fluid Flow241Author and Subject Index245
