Academic Programs

 


Undergraduate

We offer three programs leading to the Bachelor of Science degree: Pure Mathematics, Computer Science, and Mathematics Education.

Graduate

We offer programs of study leading to both the Master in Science, M.S., and the doctor of philosophy, Ph.D., degrees.

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Puerto Rico
Mathematical Olympiad

 


 

  • Local competition and selection process
  • Participation in international mathematics Olympics CENTRO, IBERO and IMO.
  • All students from 4th to 12th grade are invited to participate.

Colloquiums

Academic seminars and conferences, offered by professional guests for members of our department.

 


 

Topics for these colloquiums include:

  • Statistics
  • Scientific Computing
  • Computer Science
  • Pure and applied mathematics
  • Math education

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An automatic assessment system for math & sciences

 


 

WeBWorK is an on-line homework system for delivering individualized homework problems over the web. It gives students instant feedback as to whether or not their answers are correct.

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Informatics Olympiad (OiPR)

 


 

The Puerto Rico Informatics Olympiad is an annual training, competition and selection process for students in problem solving and computer programming. You are eligible to participate if you are a non-university student, under 19 years of age and a resident of the island.

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Developing statistical methods and scalable computational tools to uncover structure

Modern scientific research generates increasingly complex, high-dimensional datasets that demand innovative statistical methods and efficient computational tools. This presentation showcases our research group’s efforts to develop statistical methods and scalable computational tools that help researchers uncover meaningful patterns, explore hidden data structures, and extract scientific insight. By integrating statistics, machine learning (ML), artificial intelligence (AI),…

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¿Cómo evoluciona un sistema? Análisis, ondas y azar

La propagación de ondas, el movimiento aleatorio sobre una superficie y la actividad neuronal plantean preguntas fundamentales sobre la evolución de un sistema: ¿existe una solución?, ¿es única?, ¿cómo depende de los datos iniciales y hasta cuándo podemos describirla? En esta charla se presentará una perspectiva general del análisis de ecuaciones de evolución, destacando el…

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Robust Prediction Variance Estimation for Gaussian Process Regression Under Covariance Smoothness Misspecification

Abstract: Best Linear Unbiased Prediction (BLUP) has been a dominant approach in Generalized Linear Mixed Models, spatial models, and Gaussian Process Regression (GPR). In addition to their optimal properties, BLUP procedures quantify prediction uncertainty. However, the general implementation of BLUP goes as follows: (i) assume the probability distribution and covariance function are known and that…

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NLS with higher order dispersion

Abstract: We study a higher order dispersion nonlinear Schr6dinger (NLS) equation with the k-Laplacian (-Δ)k, and the potential term expressed as a power nonlinearity (for any positive power). When k = 1 we recover the NLS with the standard Laplacian and when k = 2 we get the bi-harmonic NLS. We investigate well-posedness of solutions…

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New Constructions of Multidimensional Periodic Array Families for Video Watermarking

Abstract: Families of periodic arrays are useful in a variety of applications, including multiple target recognition, optical communications, and digital watermarking. In video watermarking, these arrays can be employed as watermarks to ensure copyright protection and to verify the authenticity of the original video. In video watermarking, watermarks based on periodic arrays can be embedded…

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Computer Science and Computational Thinking Education

Abstract: Modem education requires our students to develop 21st-century problem-solving skills. This presentation offers an in-depth look at the integration of Computer Science and Computational Thinking at the primary and secondary education levels. Through a practical approach, we will discuss how gamification—highlighting the highly successful model of the Bebras Challenge—can motivate students and facilitate the…

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Materials Science & Engineering: Adventures on the Yellow Brick Road

Abstract: Materials Science & Engineering has experienced an enormous growth in the last century. Underpinned by nanotechnology and other interdisciplinary endeavors, the field is avid for more practitioners, science and engineering majors. In this seminar, the speaker will relate his research in the last decade as a UPRM professor. Place: Monzón 201 Hour: 10:30 a.m.

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From Classical SDEs to Conditional McKean-Vlasov Systems: Theory and Open Problems

Abstract: This talk presents a structured overview of stochastic differential equations (SDEs), beginning with classical Itô diffusions and progressively incorporating jumps, regime switching, and interacting particle systems. We then introduce McKean—Vlasov equations, where the dynamics depend on the law of the solution itself, highlighting their nonlinear and mean-field nature. Particular emphasis is placed on conditional…

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GIRLS MATH CLUB de Puero Rico (GMCPR)

GIRLS MATH CLUB DE PUERTO RICO Club de Matemáticas para Niñas de nivel Intermedio en escuelas públicas y privadas Las fechas de las reuniones del club son : Jueves, 26 de febrero, 4:00 pm – 6:30 pm Jueves, 26 de marzo, 4:00 pm – 6:30 pm Jueves, 30 de abril,4:00 pm – 6:30 pm

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