Mathematical Modelling Courses for Engineering Education

ISBN-13: 9783642081941 / Angielski / Miękka / 2010 / 254 str.

Yasar Ersoy; Alfredo O. Moscardini

Opis

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."

Spis treści

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