Auteur principal			Co-auteurs(s)
Nom :	Mr. Pedro Rodriguez		Nom :	Dr. Jose Luis Galan
Courriel :	prodriguez@uma.es		Courriel :	jl_galan@uma.es
Institution ou compagnie:	University of Malaga		Nom :	Miss M. Angeles Galan
Département:	Applied Mathematics		Courriel :	magalan@cs.umu.se
Ville :	Malaga		Nom :	Dr. Yolanda Padilla
État/Province :	Malag		Courriel :	ypadilla@ctima.uma.es
Pays :	Spain		Nom :
Type de présentation:	Conférence :  25 minutes.		Courriel :
Conférence et numéro :	Derive & TI-CAS  ,    Numéro : D07		Horaire :   Local :	jeudi, 12h00   1350
Site Internet :
Titre de la communication :	RESIDUE.MTH: SOLVING PROBLEMS OF INTEGRATION USING THE RESIDUE THEOREM
Résumé de la communication :
In this paper we present the file RESIDUE.MTH, created to be used in subjects that deal with complex variable, aimed at Engineering students. Such file contains a series of macros which permit to solve integration problems using the residue theorem. The macros contained in the file can be grouped within the following blocks: - Compute of residues (of a given singularity, of the singularities of rational functions). - Complex integrals using the residue theorem. - Improper integrals of a rational function. - Improper integrals of the form f(x)sin(kx) or f(x)cos(kx) where f(x) is a rational function. We also show in the paper some examples of applications that have been carried out with our students of Telecommunication Engineering. The macros have been developed in order to be used as didactical tools with explications of what the macros do step by step (using DERIVE as a PeCAS or as a white-box CAS). Finally, we include the conclusions obtained after using this file with our students and also some future work on this subject.