Teaching

My teaching philosophy is centered on developing mathematical maturity through rigorous analysis, intuitive understanding, and active problem solving. I aim to guide students from computational thinking to abstract reasoning, particularly in areas such as differential equations and analysis.

At the University of Puerto Rico at Mayagüez, I work with a diverse student population, and I am especially committed to supporting students transitioning into higher-level mathematics. I integrate research-oriented perspectives into my courses, exposing students early to modern topics such as dispersive PDEs and mathematical modeling.

Teaching Experience

University of Puerto Rico at Mayagüez

• Partial Differential Equations
  
  

• Functional Analysis
  
  

• Measure Theory
  
  

• Complex Analysis
  
  

• Differential Equations for Engineers
  
  

Universidad del Valle

• Spectral Theory
  
  

• Lebesgue Integration
  
  

• Probability Theory
  
  

• Differential Equations for Engineers
  
  

• Advanced Mathematics for Chemistry
  
  

Universidad de Pamplona

• Probability and Measure Theory
  
  

• Introduction to Probability
  
  

• Linear Algebra for Engineers
  
  

• Differential Equations for Engineers
  
  

• Advanced Engineering Mathematics
  
  

• Abstract Algebra