Auteur principal			Co-auteurs(s)
Nom :	Dr AGUSTIN DE LA VILLA		Nom :	Dr ALFONSA GARCIA
Courriel :	avilla@upco.es		Courriel :	garcial@eui.upm.es
Institution ou compagnie:	Universidad Pontificia Comillas		Nom :	Dr FRANCISCO GARCIA
Département:	Matematica Aplicada		Courriel :	gmazario@eui.upm.es
Ville :	Madrid		Nom :	Dr GERARDO RODRIGUEZ
État/Province :			Courriel :	gerardo@usal.es
Pays :	Spain		Nom :
Type de présentation:	Conférence :  25 minutes.		Courriel :
Conférence et numéro :	ACDCA ,    Numéro : A23		Horaire :   Local :	vendredi, 11h30   1340
Site Internet :
Titre de la communication :	A Course of ODE with a CAS
Résumé de la communication :
In this lecture we present a proposal for a basic course of Ordinary Differential Equations (ODE). In that proposal, using a Computer Algebra System (CAS), we try to show, in a general and integrated way, exact and approximate methods to solve ODE. The main goals of the course will be the following: · To know basic terminology. · To use a few exact methods to solve specific ODE, mainly linear ODE. · To obtain information: direction field, qualitative analysis, isoclines, asymptotic behaviour, etc., only using the ODE. · To be able to implement some numerical methods and to interpret the obtained results. The systematic utilization of all possibilities of a CAS (the chosen CAS used Maple, Mathematica, etc. is not important) allows a deep change in the contents and in the methodology regarding traditional teaching where different courses were devoted for exact methods, including in such courses a wide number of methods to solve ODE, and numerical methods. In this course we include new contents which is not possible to handle with a traditional way of teaching. In order to enhance our thesis, we will propose, in the lecture, several examples concerning numerical integration, Picard method, some deduction of algorithms, etc.