This course includes two weekly hours of lectures, one weekly hour of problem-solving sessions, and three seminar sessions. However, as in all Mathematics courses, achieving a solid understanding primarily depends on the student’s personal work and effort, and the course methodology has been designed with this in mind.

In the lectures, the professor will present and develop the course content. These lectures set the pace for the entire course; the rest of the activities are organized around them.
Understanding the notions introduced in the lectures, the statements of the theorems, and their applications is essential in order to tackle the problems. However, it is also crucial to understand the proofs of the theorems and propositions in order to deepen comprehension of the concepts and to solve problems using similar techniques.

During the lectures or in office hours, students are encouraged to ask any questions they may have.
Special attention will be paid to the use of language and terminology to guide students in using proper mathematical language and to highlight the precision required in formal writing.
Students are encouraged to consult the recommended bibliography to supplement the classroom explanations and to explore alternative approaches. Specific comments and suggestions will be made throughout the course.

There will be a one-hour weekly problem-solving session in which the problems from the lists distributed periodically will be explained.
These problems are based on the lecture content and are intended to help students develop and apply the results and ideas from the lectures—sometimes in an abstract setting, and sometimes through concrete examples.
It is extremely important that students engage thoroughly with the problems beforehand, preparing the exercises prior to class so that they can compare their approaches with those of classmates and the instructor.

The seminars both complete and complement the lecture and problem-solving sessions.
Each seminar session will propose a list of exercises focused on exploring a particular technique or idea from the course in depth, or on allowing students to experiment with a concept that has been or is about to be introduced in the lectures.
Each seminar list will specify the key objectives that students are expected to achieve by working through the problems.
During seminars, students will work in groups on the problem list, asking the professor for help as needed and discussing possible strategies for approaching the problems.
At the end, the professor will explain the solutions to the most representative problems from the list.

Student participation is essential in all course activities, but in the seminars it is especially important, as the sessions are structured around student contributions.
Since solving the exercises requires familiarity with some theoretical content, students are expected to study the relevant material in advance to make the most of the seminar sessions.

In addition to all this, students have access to office hours with the professors in charge of the lectures, problem classes, and seminars, where they can ask questions and seek help with their work.
The course also has a page on the Virtual Campus, where problem and seminar lists, additional materials, and all relevant course information will be posted.

Note: 15 minutes of one class session, within the schedule established by the department/program, will be reserved for students to complete surveys evaluating the teaching performance and the course/module itself.

15% of the grade corresponds to the submission of problem sets associated with the seminars.

The remainder of the grade corresponds to the exams taken throughout the course, broken down into 35% for the mid-semester exam and 50% for the end-of-semester exam. The theory will be assessed concurrently with the partial exams.

To pass the course, students must obtain a grade of 5 or higher based on the established weighting, with the prerequisite of achieving a grade of 3.5 or higher in the end-of-semester exam. After the final partial exam, students will have the opportunity to take a retake exam to recover or improve the portion of the assessment corresponding to the problem exams. Thus, this exam will account for 85% of the grade. The 15% corresponding to the submission of seminar problem sets cannot be retaken.

After the last partial exam, honors (matrículas de honor) that are deemed clear-cut will be awarded. These honors will be final. If the maximum allowed number of honors has not been reached, granting additional ones will be reconsidered after the retake exam.

A student will be considered "Not Assessable" if they have participated in assessment activities accounting for less than 50% of the grade according to the established weighting.

In this course, the use of Artificial Intelligence (AI) technologies is not permitted in any of its phases. Any assignment that includes AI-generated fragments will be considered a breach of academic honesty and may result in a partial or total penalty on the assignment's grade, or more severe sanctions in serious cases.

Single assessment: Students who opt for the single assessment will take a single exam that evaluates the theory and problem contents of the course. Additionally, on the day of the exam, they must submit a portfolio containing the various assignments set throughout the course.

The exam will account for 85% of the final grade, and the remaining 15% will be derived from the contents of the submitted portfolio of exercises.

The exam will take place concurrently with the course's second partial exam. The same retake system applied to continuous assessment will apply to this exam.