Mathematical Modelling Courses for Engineering Education / Edition 1

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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.

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Product Details

  • ISBN-13: 9783540580102
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 11/29/1994
  • Series: Nato ASI Subseries F: (closed) , #132
  • Edition description: 1994
  • Edition number: 1
  • Pages: 253
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.63 (d)

Table of Contents

Introduction 1
1 The Role and Practice of Mathematical Modelling in Industry Today 7
2 The Teaching of Mathematical Modelling 17
3 Using Maple in a Mathematical Modelling Course 33
4 Design of Mathematical Modelling Courses for Fluid Flow in Engineering Education 59
5 Integrating New Information Technologies into Engineering Mathematics Curricula 75
6 Examples of Matlab in Engineering Education 83
7 Issues Involved in Teaching Calculus with Computer Algebra Systems 93
8 A Global Approach to Finite Element Method 113
9 Finite Element Method by Using Mathematica 129
10 Ingmath: Software for Engineering Mathematics 153
11 Power Series Solutions of ODEs 159
12 Comments on the Teaching of Computational Fluid Dynamics 165
13 Finite Difference Modelling of Two-Phase Flow Instabilities in Boiling Systems 179
14 Numerical Modelling in Heat Transfer by Spectral Methods 211
A. Computer Algebra Systems in Mathematical Education 239
B. Mathematical Modelling in Fluid Flow 241
Author and Subject Index 245
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