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Overview
The central theme of this book is to show how modern technology can be incorporated into differential equations courses. The book was written with the teacher in mind. The articles provide material for study and reflection that will help teachers pull out ideas relevant to their own classroom situations. Articles touch on a variety of topics: the use of laboratories in ODE courses, modeling using ODEs and computers, dynamical systems, computer exploration of concepts taught in ODE courses, ODE solvers and their use in the classroom, and Internet resources available for the ODE class.
Modern technology and the impetus for change sparked by the reform calculus movement have had a profound effect on how differential equations is taught--both in terms of content and pedagogy. Teachers are confronted with a variety of textbooks that are very different from each other and from previous editions. Revolutions in Differential Equations can provide teachers with the information they need to navigate this complicated road.
The authors of the articles represent a broad spectrum of workers in the field of differential equations. They are experienced teachers of ODE courses who have accumulated, individually and collectively, expert knowledge on incorporating modern technology into the ODE class. These experiences give them unique insights into the future of the ODE class.
This volume can be used by instructors who teach: differential equations, Calculus I and II (those portions that discuss ODEs), Engineering Mathematics (those portions that discuss ODEs), Mathematical Modeling, and Applied Mathematics.
Synopsis
Discusses the direction in which the field of differential equations, and its teaching, is going.
Telegraphic Review
"A useful resource for any instructor who teaches a course that incorporates DEs"
Editorials
Alan Law
"The text serves as an excellent introduction to instructors wishing to incorporate computer based methods into their teaching..... an extremely interesting, and informative book. The articles are, well written and provide explicit examples as well as many useful and practical ideas from several innovative and capable practitioners in this rapidly evolving area of undergraduate education."—Crux Mathematicorum