Teaching
Linear algebra, mathematical intuition, and computation with real data.
Textbook in Spanish. Manuscript complete.
Álgebra lineal para la vida
With Rafael Méndez
An applied linear algebra textbook for introductory courses, written in Spanish. Four chapters run from combinations of columns to the singular value decomposition, passing through the four fundamental subspaces, least squares and regression, difference and differential equations, and Markov chains. Each closes with exercises and their solutions, and with a workshop in Python on real data.
Contents
- Antes de empezar
- Espacios vectoriales
- Ortogonalidad
- Valores propios y sistemas dinámicos
- Descomposición en valores singulares
Appendices: the Python workshops, complex numbers, determinants.
In the classroom
Since 2025 I have been a teaching assistant in the Department of Applied Mathematics and Computer Science at Universidad del Rosario, for Linear Algebra, Real Analysis, Calculus 3, and Data Structures and Algorithms.
Mathematics in public
Short explanations of mathematical ideas, in Spanish.
Mathematics videos on TikTok ↗