Calculus I
Single-variable differential calculus, with emphasis on rigorous reasoning, intuition, and geometric interpretation.
Course pageTeaching
Approach and experience
Experience
Since 2021, I have served as a Teaching Assistant at the School of Sciences (UNAM), with regular classroom responsibilities and experience preparing guides, problem sets, and exams in $LaTeX$.
Teaching approach
I prioritize intuition before formalism: abstract definitions are introduced alongside concrete examples and geometric interpretations, with the goal of developing conceptual understanding as well as technical fluency.
Long-term goal
A central motivation in my academic career is to help strengthen the study and research of Number Theory in Mexico through teaching, mentoring, and the development of accessible mathematical materials.
Semester 2027-1
Current courses
Direct access to the courses I am teaching this semester.
Number Theory I
Divisibility, congruences, arithmetic functions, quadratic reciprocity, and classical Diophantine problems.
Course pageSince 2021
Courses taught at UNAM
A complete record of the courses in which I have participated as a teaching assistant.
Calculus and Analysis
| Course | Semesters |
|---|---|
| Calculus I (Single-variable differential calculus) | 2021-1, 2024-1, 2025-1, 2026-1, 2027-1 |
| Calculus II (Single-variable integral calculus) | 2021-2, 2022-1, 2024-2, 2026-2 |
| Calculus III (Multivariable differential calculus) | 2022-2, 2025-1 |
| Calculus IV (Multivariable integral calculus) | 2022-2, 2023-1, 2025-1, 2025-2 |
Algebra and Number Theory
| Course | Semesters |
|---|---|
| Advanced Algebra I | 2023-1, 2024-1 |
| Advanced Algebra II | 2024-2 |
| Number Theory I | 2023-2, 2026-1, 2027-1 |
| Probabilistic Number Theory | 2026-2 |
Complex Analysis
| Course | Semesters |
|---|---|
| Complex Analysis I | 2024-4, 2025-1 |
| Complex Analysis II | 2023-2 |