dc.contributor.author Galán-García, José Luis dc.contributor.author Aguilera-Venegas, Gabriel dc.contributor.author Rodriguez-Cielos, Pedro dc.contributor.author Padilla-Domínguez, Yolanda dc.contributor.author Galán-García, María Ángeles dc.contributor.author Rodríguez-Cielos, Ricardo dc.date.accessioned 2019-07-25T10:19:10Z dc.date.available 2019-07-25T10:19:10Z dc.date.created 2019 dc.date.issued 2019-07-25 dc.identifier.uri https://hdl.handle.net/10630/18145 dc.description.abstract Partial Differential Equations (PDE) are one of the most difficult topics that Engineering and en_US Sciences students have to study in the different Math subjects in their degree. In this talk we introduce SFOPDES (Stepwise First Order Partial Differential Equations Solver) aimed to be used as a tutorial for helping both the teacher and the students in the teaching and learning process of PDE. The type of problems that SFOPDES solves can be grouped in the following three blocks: 1. Pfaff Differential Equations, which consists on finding the general solution for: P(x; y; z) dx + Q(x; y; z) dy + R(x; y; z) dz = 0 (a) General method. (b) Particular cases: i. Separable equations. ii. Exact Pfaff equations. iii. One-separated variable equations. 2. Quasi-linear Partial Differential Equations, which consists on finding the general solution for: P(x; y; x) p + Q(x; y; z) q = R(x; y; z) (a) General method. (b) Particular solution which contents a given curve. 3. Using Lagrange-Charpit Method for finding a complete integral for a given general first order partial differential equation: F(x; y; z; p; q) = 0. (a) General method. (b) Particular cases: i. F(p; q) = 0 ii. g1(x; p) = g2(y; q) iii. z = px + qy + g(p; q) dc.description.sponsorship Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. en_US dc.language.iso eng en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.subject.other PDE en_US dc.subject.other Stepwise tutorial en_US dc.subject.other CAS en_US dc.subject.other DERIVE en_US dc.subject.other SYMPY en_US dc.subject.other PYTHON en_US dc.title SFOPDES: A stepwise tutorial for teaching Partial Differential Equations using a CAS en_US dc.type info:eu-repo/semantics/conferenceObject en_US dc.centro Escuela de Ingenierías Industriales en_US dc.relation.eventtitle 25th Conference on Applications of Computer Algebra ACA 2019 en_US dc.relation.eventplace Montreal, Canadá en_US dc.relation.eventdate 16 al 20 de julio de 2019 en_US
﻿