Teaching
Since 2013 I have taught two groups a semester at ITAM: fifty-five 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 I
- Cálculo I
- Cálculo Diferencial e Integral I
- Cálculo Diferencial e Integral II
- Cálculo Numérico I
- Cálculo Numérico I Æ
- Cálculo Univariado
- Ecuaciones Diferenciales Parciales
- Geometría Analítica I
- Matemática Computacional
- Matemáticas Discretas · Álgebra Superior II
- Métodos Numéricos Aplicados
- Sistemas Dinámicos I
- Sistemas Dinámicos II
- Tutoría de Matemáticas I, II y III
Discrete Mathematics and Higher Algebra II are one class under two codes. Numerical Analysis I carries the Æ code when it is for Actuarial Science and Economics, and its syllabus differs considerably from the one for Mathematics; I have taught both. Partial Differential Equations shifts emphasis by semester: analysis, fluid mechanics or numerical methods.
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.”