Mathematical Modelling Courses for Engineering Education / Edition 1

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Overview

As the role of the modern engineer is markedly different from that of even a decade ago, the theme of engineering mathematics educa­ tion (EME) is an important one. The need for mathematical model­ ling (MM) courses and consideration of the educational impact of computer-based technology environments merit special attention. This book contains the proceeding of the NATO Advanced Research Workshop held on this theme in July 1993. We have left the industrial age behind and have entered the in­ formation age. Computers and other emerging technologies are penetrating society in depth and gaining a strong influence in de­ termining how in future society will be organised, while the rapid change of information requires a more qualified work force. This work force is vital to high technology and economic competitive­ ness in many industrialised countries throughout the world. Within this framework, the quality of EME has become an issue. It is expected that the content of mathematics courses taught in schools of engineering today have to be re-evaluated continuously with regard to computer-based technology and the needs of mod­ ern information society. The main aim of the workshop was to pro­ vide a forum for discussion between mathematicians, engineering scientists, mathematics educationalists, and courseware develop­ ers in the higher education sector and to focus on the issues and problems of the design of more relevant and appropriate MM courses for engineering education.

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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: 254
  • 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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