Thesis (TFG’s, TFM’s and PhD’s)

  • Claudio Leal Jara, On qualitative properties of fractional-difference equations on abstract spaces and their applications to lattices models. PhD. Thesis. Universidad de Santiago de Chile, 19th June 2018. Co-supervised with Carlos Lizama. Mark: Sobresaliente Cum Laude.
  • Caos en sistemas dinámicos. Francisco Javier Díaz Urios. 2017 (UJI). Co-supervised with Alejandro Miralles. Final Degree Project in Mathematics.
  • Sistemas de Control con Lógica Difusa: Mamdani y Takagi-Sugeno-Kang. Samuel Diciembre Sanahuja. 2017 (UJI). Co-supervised with Juan José Font. Final Degree Project in Mathematics.
  • Aproximation constructiva de funciones con redes neuronales. Cristian Vives Morata. 2018 (UJI).Co-supervised with Juan José Font. Final Degree Project in Mathematics.
  • Wavelets de Haar y Daubechies y sus aplicaciones. Nahuel Olivera. 2018 (UJI). Final Degree Project in Mathematics.
  • Diseño de una unidad didáctica sobre grafos en 2º de Bachillerato. Héctor Simó. 2018 (UJI). Final Master's Thesis in the Master's Degree in Teaching of Secondary Education and Baccalaureate.
  • Innovación de la didáctica de funciones en 3º ESO. Mar Catalán. 2018 (UJI). Final Master's Thesis in the Master's Degree in Teaching of Secondary Education and Baccalaureate.
  • Aproximación constructiva de funciones de varias variables mediante redes neuronales. Alba Correas. 2019 (UJI).Co-supervised with Juan José Font. Final Degree Project in Mathematics.
  • Teorema de Ascoli-Arzelà. Alberto Hernández. 2019 (UJI).Final Degree Project in Mathematics.
  • Mejora de unidad didáctica de funciones en 4º ESO. Maria Peris. 2019 (UJI). Final Master's Thesis in the Master's Degree in Teaching of Secondary Education and Baccalaureate.
  • Maximal regularity in lp-spaces for discrete time fractional shifted equations. Ivan Girona. 2019 (UPV). Co-supervised with J.A. Conejero. Final Master's Thesis in the Master's Degree in Mathematical research INVESTMAT.
  • Linear chaos for non-local operators and numerical schemes. Álvaro Vargas. 2022 (UPV). Co-supervised with A. Peris. Final Master's Thesis in the Master's Degree in Mathematical research INVESTMAT.
  • Transversalidad educativa en Matemáticas a través de las hojas de cálculo''. Purificación Amaya Trinidad. 2022 (UCA). Co-supervised with M.A. Moreno-Frías. Final Master's Thesis in the Master's Degree in Mathematics from UCA.


Teaching books

  1.  C. Jordán, Marina Murillo-Arcila y J. B. Seoane-Sepúlveda. Teoría de grafos y modelización. Problemas resueltos. Ed. Paraninfo (2022). ISBN: 9788413679280. https://www.paraninfo.es/catalogo/9788413679280/teoria-de-grafos-y-modelizacion--problemas-resueltos
  2. C. Jordán, Marina Murillo-Arcila y J. B. Seoane-Sepúlveda. Problemas, Cuestiones y Aplicaciones de Matemática Discreta Ed. Paraninfo (2022). ISBN: 9788413661322. https://www.paraninfo.es/catalogo/9788413661322/problemas--cuestiones-y-aplicaciones-de-matematica-discreta
  3. Eds. J.A. Conejero, A. Albors, M. Murillo-Arcila y V. Vivancos. Experiencias docentes para secundaria, bachillerato y ciclos formativos a partir del programa Praktikum – UPV (Universitat Politècnica de Valencia). Vicerrectorado de Alumnado y Extensión Universitaria (2015). ISBN: 978-84-695-9381-3.

Research papers and on Education

  1. X. Barrachina, J.A. Conejero, C. Jordán, M. Murillo-Arcila. Design of conceptual maps for massive open online courses (MOOCS). INTED 2015, 9th International Technology, Education and Development Conference, ISBN: 978-84-606-5763-7, 2015.
  2. María Jose Beltrán-Meneu, and M. Murillo Arcila. Coloreando el Álgebra Lineal. Modelling in Science Education and Learning. (MSEL), 9 (2), 25-34, 2016.
  3. María Jose Beltrán-Meneu, M. Murillo Arcila and Lluís Albarracín. Emphasizing visualization and physical applications in the study of eigenvectors and eigenvalues. Teaching Mathematics and itsApplications, 36, 123-135, 2017.
  4. Jordi Ruiz Calvo, Sandra López Fernández, M. Murillo Arcila, J.A. Conejero and Jose-Luis-Poza-Lujan. 5phero kids. Una Aplicación educativa para alumnos de educación infantil. Proceedings of the XVIII Simpósio Internacional de Informática Educativa, SIIE 2016, pp. 211-216.
  5. María Jose Beltrán-Meneu, M. Murillo Arcila and Enrique Jordá. A teaching proposal for the study of Eigenvectors and Eigenvalues. Journal of Technology and Science Education, 7 (1), 100-113, 2017.
  6. J.A. Conejero, M. Murillo Arcila, Jesús M. Seoane-Sepúlveda, and J. B. Seoane-Sepúlveda. When does chaos appear while driving?: Learning dynamical systems via car-following models. Mathematics Magazine, 95(4),302-313,2022.
  7.  C. Jordán, Marina Murillo-Arcila and Juan R. Torregrosa. The STEM methodology and graph theory. Some practical examples. Mathematics, 9(23):3110, 2021.
  8.  A. Cordero, C. Jordán, Marina Murillo-Arcila and E. Sanabria-Codesal. A game for learning how to model in graph theory. Mathematics, 10, 1969, 2022.
  9. C. Jordán, Marina Murillo-Arcila and E. Sanabria-Codesal. Teaching graph theory through modelling. II JID+Jornades d'Innovació Docent en Matemàtiques en Educació Superior, ISBN:978-84-09-43280-6, 2022.

Educational projects

  • Participation in the innovative education project for teaching graph theory: 'Fomento de competencias transversales a partir de la Teoría de Grafos' funded by the Applied Mathematics Department of the University Politècnica of Valencia (PID-DMA 2014) during the course 2014/2015.
  • Participation in the innovative education project for teaching graph theory: 'Prácticas de Teoría de Grafos aplicadas al procesamiento de imágenes' funded by the Applied Mathematics Department of the University Politècnica of Valencia (PID-DMA 2016) during the course 2015/2016.
  • Participation in the interdisciplinary project 'Modelización escultórica de formas escultóricas complejas. Investigación interdisciplinar experimental de arte contemporáneo y matemáticas', in collaboration between the Arts Faculty and the Mathematics Faculty and funded by the University Politècnica of Valencia.
  • Participation as a tutor in the educational innovation program PRAKTIKUM UPV Conselleria d'Educació destined to students of 1 course of Baccalaureate. The project consists of the students develop a technological project within the framework of Engineering, under the tutelage of a university professor within a research group of the UPV. The results and its development are found available at http://etsii.blogs.upv.es/praktikum/ and at http://praktikum.blogs.upv.es
  • Participation as a speaker in the conference 'Connecta amb la Ciència' of the University Jaume I aimed at high school students.
  • Participation as a collaborator in the Imaginary Exhibition organized jointly by the University Jaume I and the Royal Spanish Mathematical Society aimed at high school students.