dc.contributor.author Aguilera-Venegas, Gabriel dc.contributor.author Galán-García, José Luis dc.contributor.author Galán-García, María Ángeles dc.contributor.author Padilla-Domínguez, Yolanda Carmen dc.contributor.author Rodríguez, Pedro dc.contributor.author Rodríguez, Ricardo dc.date.accessioned 2015-07-28T12:01:59Z dc.date.available 2015-07-28T12:01:59Z dc.date.created 2015 dc.date.issued 2015-07-28 dc.identifier.uri http://hdl.handle.net/10630/10179 dc.description.abstract When teaching how to compute improper integrals, the basic approach to compute such improper integrals is by definition. But, what happens if an antiderivative F for f or the above limits do not exist? the definition procedure cannot be used for these examples. In this talk we will show, as an application of advanced calculus subjects, how es_ES to compute this kind of improper integrals using a CAS. Laplace and Fourier transforms or Residue Theorem in Complex Analysis are some advance techniques which can be used for this matter. As an example of use, we will describe the file ImproperIntegrals.mth, developed in DERIVE 6, which deals with such computations. This utility file was first introduced at TIME 2014 Conference. Some CAS use different rules for computing integrations. For example RUBI system, a rule-based integrator developed by Albert Rich, is a very powerful system for computing integrals using rules. We will be able to develop new rules schemes for some improper integrals using ImproperIntegrals.mth. These new rules can extend the types of improper integrals that a CAS can compute. Finally, we will show some examples that we use with our students which can not be computed with the basic procedures implemented in CAS. Using the utility file ImproperIntegrals.mth, these examples will be easily solved. dc.description.sponsorship Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. es_ES dc.language.iso eng es_ES dc.rights info:eu-repo/semantics/openAccess es_ES dc.subject Integrales es_ES dc.subject.other CAS es_ES dc.subject.other Integration Rules es_ES dc.subject.other Education es_ES dc.subject.other Improper integrals es_ES dc.title Teaching improper integrals with CAS es_ES dc.type info:eu-repo/semantics/conferenceObject es_ES dc.centro Escuela Politécnica Superior es_ES dc.relation.eventtitle ACA 2015 es_ES dc.relation.eventplace Kalamata, Grecia es_ES dc.relation.eventdate 20-23/07/2015 es_ES dc.identifier.orcid http://orcid.org/0000-0002-8773-6998 es_ES dc.rights.cc by-nc-nd
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