Study probability at UNAM-CU
Our community is involved in undergraduate and postgraduate teaching at UNAM.
Undergraduate programs
At the undergraduate level, we contribute to the education of students in the degree programs in Actuarial Science, Mathematics, and Applied Mathematics at the Faculty of Sciences, as well as in the Data Science program at IIMAS.
We regularly teach the introductory courses in probability and stochastic processes, including:
- Probability I – Syllabus
- Probability II – Syllabus
- Stochastic Processes I – Syllabus
- Stochastic Processes II – Syllabus
Occasionally, we also offer specialized courses and seminars, such as Probability on Discrete Structures or Probabilistic Number Theory, aimed at students interested in exploring the area in greater depth.
Undergraduate theses
We regularly supervise undergraduate theses for students from UNAM as well as from other institutions in Mexico. In some cases, funding opportunities are also available. If you are interested in writing your thesis with someone from our community, feel free to get in touch with us.
Graduate Program in Mathematical Sciences
Our community participates in the Graduate Program in Mathematical Sciences at UNAM, a joint program involving the Center for Mathematical Sciences, the Faculty of Sciences, IIMAS, and the Institute of Mathematics.
The program offers MSc and PhD degrees and provides a solid mathematical training, combining advanced coursework with early research opportunities. The areas of the program include Algebra, Analysis, Numerical Analysis and Scientific Computing, Differential Equations, Statistics, Mathematical Finance, Geometry, Discrete Mathematics, Probability, Continuous Systems, and Topology.
Within the postgraduate program, we collaborate mainly in the areas of Probability, Statistics, and Mathematical Finance.
The core courses in probability are:
Both courses are part of the General Examination in Probability and Stochastic Processes.
In addition, we frequently offer courses such as:
- Stochastic Calculus
- Probability on Discrete Structures
as well as postgraduate seminars on selected topics, which provide an introduction to different research directions.
Master’s program
The master’s program has a duration of two years. During this period, students are expected to complete at least four core courses in three different areas of the postgraduate program. Courses are worth between 5 and 9 credits, depending on the number of weekly teaching hours (i.e., 2 credits per hour). After completing at least 70 credits, the MSc degree may be obtained either through a thesis or through a short thesis and general examinations in three areas of the program.
PhD program
The PhD program, which can be pursued in the areas mentioned above, has a duration of four years and focuses primarily on the development of an original research project; coursework is not mandatory. It consists of three main stages: i) general examinations in three areas of the postgraduate program; ii) the PhD candidacy stage; and iii) the revision and defense of the doctoral dissertation.