Course on Lebesgue measure and integration for the Mathematics program.
Course on Continuous Modelling (including, ODEs models, PDEs models and Fourier Analysis). Valid for the Data Sciences program.
Course on nonlinear PDEs for advanced undergraduates and recent graduates on Mathematics.
Partial Differential Equations (in Spanish). Lecture notes for the regular course at the University of Buenos Aires. Cursos de Grado del Departamento de Matemática, Fascículo 7.
Explosions in Stochastic Differential Equations (in Spanish). Lecture notes of a course given at EIED2005. Math Department - University of Buenos Aires, Cursos y Seminarios de Matemática - Serie B, nro. 1. Joint with P. Groisman
Introduction to nonlocal equations and fractional Sobolev spaces (in Spanish). Draft version.
1, Some Python implementations for Analysis 2
Colab 1: Basic functions.
Colab 2: Line and curve integrals.
Colab 3: Surphace and flux integrals.
Colab 4: Some basic linear algebra.
Colab 5: First order ODEs.
Colab 6: Linear Systems.
Colab 7: Linerarization. The Hartman-Grobman theorem.
Colab 8: Predator-prey models. Lotka-Volterra equations.
2. Some Python implementations for Deep Learning (introductory)
Some shortcuts for Google Colab: link
Very short introduction to Python: link
Activation functions: link
Neural Networks: link
Backpropagation and training: link
Comparison between different activation functions: link
Short introduction to OOP: link
Translation to OOP: link
Adaptation to Batches: link
Short introduction to Pytorch: link
List of cost functions and optimization methods: link
My videos for Analysis 1 (in pandemia): https://www.youtube.com/c/An%C3%A1lisis1ExactasUBA
On line course for Analysis 1: https://www.youtube.com/@analisismatematico1-exacta340