Teaching
Since 2013 I have taught two groups a semester at ITAM, thirty-eight courses in all. Everything on this page is free to use: if it helps you, take it.
From 1 August 2026 to 31 July 2027 I am on unpaid leave, living in Brazil and working on scientific advisory and collaboration projects.
Courses
The department's current offering, with syllabuses and schedules, is on the Department of Mathematics courses page.
Courses I have taught
- Álgebra Lineal
- Álgebra Superior II
- Cálculo Diferencial e Integral I
- Cálculo Diferencial e Integral II
- Cálculo Numérico
- Cálculo Numérico Æ
- Cálculo Univariado
- Ecuaciones Diferenciales Parciales
- Geometría Analítica
- Matemática Computacional
- Matemáticas Discretas
- Sistemas Dinámicos I
- Sistemas Dinámicos II
- Tutorías I, II y III
Partial Differential Equations, depending on the semester, with emphasis on analysis, fluid mechanics or numerical methods. Cálculo Numérico Æ is the version for Actuarial Science and Economics.
Notes and tutorials (in Spanish)
- Notes on Computational Mathematics and Numerical Analysis Æ184 pages. They cover both courses: Computational Mathematics, for Applied Mathematics, and Numerical Analysis, for Actuarial Science and Economics. The syllabus is nearly the same; some topics differ in depth.
- A brief introduction to MatlabWith Jimena Rodríguez Lebrija and Rodrigo Zepeda Tello. 42 pages.
- A brief introduction to PythonZIP archive. Here is the readme.
Writing mathematics in LaTeX (in Spanish)
- Example projectHow to write a mathematical text, with the full project. · Overleaf
- ITAM thesis formatThe official template, ready to use. · Overleaf
Supporting essays (in Spanish)
Topics that always call for a separate explanation in class. Each one is short and self-contained.
- Convergence analysis for multistep numerical methods
- Classification of second-order PDEs
- A generalisation of the fundamental theorem of calculus
- A light introduction to Fourier series
- A light introduction to the Fourier transform
- A light introduction to the Laplace transform, in the spirit of Schaum
- Big-O and small-o notation
- Duhamel's principle for PDEs
- Existence and uniqueness theorems for ODEs
- How to find the secondary bifurcation using algebraic curves
“The most useful science is that whose fruit is the most communicable.”