• A stepwise Cas course for solving First-Order Partial Diferential Equations 

      Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; Padilla-Domínguez, Yolanda; Rodríguez-Cielos, Pedro; [et al.] (2014-07-16)
      Partial Differential Equations (PDE) is a very important topic in advance Mathematics for Engineering. The three main first-order PDE problems that a basic course must deal with are: \begin{enumerate} \item {\bf Pfaff ...
    • Advanced techniques to compute improper integrals using a CAS 

      Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; Padilla-Domínguez, Yolanda; Rodríguez-Cielos, Pedro; [et al.] (2014-07-16)
      Let us consider the following types of improper integrals: $$ \int_0^\infty f(t)\:{\rm d}t \qquad ; \qquad \int_{-\infty}^0 f(t)\:{\rm d}t \qquad {\rm and} \qquad \int_{-\infty}^\infty f(t)\:{\rm d}t $$ \medskip Let ...
    • Improving CAS Capabilities: New Rules for Computing Improper Integrals 

      Galán-García, José Luis; Aguilera-Venegas, Gabriel; Rodríguez-Cielos, Pedro; Galán-García, María Ángeles; Padilla-Domínguez, Yolanda; [et al.] (2016-07-14)
      There are diferent applications in Engineering that require to compute improper integrals of the first kind (integrals defined on an unbounded domain) such as: the work required to move an object from the surface of the ...
    • Making more flexible ATISMART+ model for traffic simulations using a CAS 

      Ramírez, Manuel; Gavilán, José Manuel; Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; [et al.] (2015-07-28)
      Traffic simulations usually require the search of a path to join two different points. Dijkstra’s algorithm [1] is one of the most commonly used for this task due to its easiness and quickness. In [2, 3] we developed an ...
    • New functions for random samples generation using Stata 15 

      Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; Padilla-Domínguez, Yolanda; Rodriguez-Cielos, Pedro (2019-10-30)
      In the 2017 Spanish Stata Users Group meeting, held in Madrid on October 19th, we introduced some functions for generating random samples from continuous and discrete distributions using STATA 13. In this talk, we will ...
    • New rules for improving CAS capabilities when computing improper integrals. Applications in Math Education 

      Galán-García, José Luis; Aguilera-Venegas, Gabriel; Rodriguez-Cielos, Pedro; Padilla-Domínguez, Yolanda; Galán-García, María Ángeles (2018-06-22)
      In many Engineering applications the computation of improper integrals is a need. In [1] we pointed out the lack of some CAS when computing some types of improper integrals. Even more, the work developed showed that some ...
    • Queueuing system with failures and priorities 

      Atencia-McKillop, Ivan; Galán-García, José Luis; Aguilera-Venegas, Gabriel; Rodríguez, Pedro; Galán-García, María Ángeles (2016-07-07)
      Queueing theory provides models, structural insights, problem solutions and algorithms to many application areas. Due to its practical applicability to production, manufacturing, home automation, communications ...
    • Random samples generation with Stata from continuous and discrete distributions 

      Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; Padilla-Domínguez, Yolanda; Rodriguez-Cielos, Pedro; [et al.] (2018-03-12)
      Simulations are nowadays a very important way of analyzing new improvements in different areas before the physical implementation, which may require hard resources which could only be affronted in case of a high probability ...
    • Server information mechanism in a discrete-time queueing system 

      Atencia-McKillop, Ivan; Galán-García, José Luis; Aguilera-Venegas, Gabriel; Rodriguez-Cielos, Pedro; Galán-García, María Ángeles (2018-06-14)
      This paper discusses a discrete-time queueing system in which an arriving customer may adopt four di erent strategies depending on the income information, two of them correspond to a LCFS discipline where displacements ...
    • SFOPDES: A stepwise tutorial for teaching Partial Differential Equations using a CAS 

      Galán-García, José Luis; Aguilera-Venegas, Gabriel; Rodriguez-Cielos, Pedro; Padilla-Domínguez, Yolanda; Galán-García, María Ángeles; [et al.] (2019-07-25)
      Partial Differential Equations (PDE) are one of the most difficult topics that Engineering and Sciences students have to study in the different Math subjects in their degree. In this talk we introduce SFOPDES (Stepwise ...
    • Simulating Realistic Traffic Flow in a Smart City 

      Galán-García, José Luis; Aguilera-Venegas, Gabriel; Galán-García, María Ángeles; Rodríguez-Cielos, Pedro (2014-07-16)
      Dijkstra's algorithm is one of the most well known algorithm to solve the shortest path problem (SPP). When applied to real situations, although the shortest path can be computed with Dijkstra's algorithm, it is not always ...
    • Teaching improper integrals with CAS 

      Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; Padilla, Yolanda; Rodríguez, Pedro; [et al.] (2015-07-28)
      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 ...
    • Teaching Partial Differential Equations with CAS 

      Galán-García, José Luis; Rodriguez-Cielos, Pedro; Padilla-Domínguez, Yolanda; Galán-García, María Ángeles; Aguilera-Venegas, Gabriel; [et al.] (2018-06-22)
      Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals ...
    • Teaching the residue theorem and its applications with a CAS 

      Galán-García, José Luis; Aguilera-Venegas, Gabriel; Rodriguez-Cielos, Pedro; Padilla-Domínguez, Yolanda; Galán-García, María Ángeles (2019-07-25)
      The residue theorem is one of the most interesting result in Complex Analysis which allows not only computations in C, the Field of Complex Numbers, but also provides many applications in the Field of Real Numbers R. In ...
    • Using a CAS-developed random samples generator for teaching and research in probabilistic cellular automata and Statistics 

      Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; Rodriguez-Cielos, Pedro; Padilla-Domínguez, Yolanda; [et al.] (2019-07-25)
      Our group introduced random samples generation using a CAS, specifically Derive, in the Derive session of ACA 2009. This talk was extended in a paper published in The Derive Newsletter. In the year 2017 we presented a ...
    • Using extensions of the residue theorem for improper integrals computations with CAS 

      Galán-García, José Luis; Aguilera-Venegas, Gabriel; Rodriguez-Cielos, Pedro; Galán-García, María Ángeles; Padilla-Domínguez, Yolanda; [et al.] (2018-06-14)
      The computation of improper integrals of the rst kind (integrals on unbounded domain) are used in di erent applications in Engineering (for example in Kynetic Energy, electric potential, probability density functions, ...