Luis F. Cáceres, Ph.D.
Professor, Mathematical Sciences Department
University of Puerto Rico, Mayagüez Campus
University of Puerto Rico, Mayagüez Campus
About Me
Name: Luis F. Cáceres-Duque
Location: Mayaguez, Puerto Rico
Phone: 787 832-4040 ext.5890
Email: luis.caceres1@upr.edu
About Myself
I am a professor in the Department of Mathematical Sciences of the University of Puerto Rico, Mayaguez Campus.
Regarding teaching, I am interested in courses such as geometry, fundamentals of mathematics, abstract algebra, linear algebra, number theory, problem solving.
Some of the additional activities include:
- Director of Mathematical Olympiads of Puerto Rico (OM.PR)
- Coordinator of the Graduate Program of the Department of Mathematical Sciences
- Vice President of the Kangaroo Without Borders Association (AKSF.ORG)
- Consultant at College Board
Special publications
- AKSF & Math Kangaroo. The world’s largest international mathematics competition with Meike Akveld, Notices of the AMS, Vol 69, Nr. 11, pp 1956-1960, December 2022.
- The impact of mathematics competitions on teachers and their classrooms in Puerto Rico, Switzerland and UK: A comparative study with Meike Akveld, Ferney Henao and David Crawford, ZDM, Springer, Vol 54, Nr. 5 pp. 941-959, 2022.
- Comparison of two algorithms to solve the ideal membership problem in Z[x] with Silvia López, Espacio Matemático, Vol 2, Nr. 2, 2022.
- Mathematics Olympiads Curriculum for Primary School in Ibero-America with Ariana Rodríguez and Lizbeth Alvarado, Journal of the WFNMC, Vol 36, No1, pp 13-24, 2023.
- Veinticinco años de las Olimpiadas matemáticas de Centroamérica y el Caribe with J. H. Nieto, Publicaciones UPRM, 2023.
- Comentarios sobre la Formación del Pensamiento Geométrico con soporte Tecnológico: Logros y Desafíos with M. Falk, Espacio Matemático, Vol 4, Nr. 1, 2023.
- Metodología de Enseñanza en Espiral en Competencias de Matemáticas with V. Reyes, book chapter, Contribuciones invitadas: XIII CIEMAC, Universidad de la Rioja, 2024.
- Analyzing Proficiency and Growth: A Study of Mat Competitions in Elementary School Students in Puerto Rico with J. Arauz, WFNMC Journal, V 37, N1, 27-44, 2024.
Courses
Fall 2024-2025
- MATE 3032 (Calculus II)
- MATE 4031 (Linear Algebra)
Spring 2023-2024
- MATE 3031 (Calculus I)
- EDMA 6105 (Problem Solving)
Projects
Olimpiadas Matemáticas de Puerto Rico
http://om.pr
El programa Olimpiadas Matemáticas de Puerto Rico (OMPR) tiene como objetivo la popularización de las matemáticas en Puerto Rico. Por otro lado identfica el talento matemático y ayuda a los estudiantes a potenciar ese talento.
OMPR se encarga de seleccionar y entrenar a los estudiantes que representan Puerto Rico en Olimpiadas Internacionales de Matemáticas.
Estudiantes interesados en participar deben visitar la página om.pr
- Corequisite Support at UPRM (estudio piloto con Jhonnatan Ortega)
- Mathematics Olympiads in Elementary School (con Ariana Rodriguez y Lizbeth Alvarado)