There will be two hours a week of lectures, one hour a week of problems sessions, and 4 seminar sessions. Nevertheless, as in every mathematics course, what is most needed to reach the necessary level is the personal work and effort of the student. The course has been designed with this idea in mind.

During the lectures, the professor will explain and develop the contents of the course. These set the pace of the course and all other activities revolve around the contents explained in the lectures. In order to tackle the problems it is needed to know the definitions introduced in the lectures, and the statements of results, but it is also needed to understand the proofs, as similar techniques are used in solving the problems. Students must ask about all doubts they may have, both during lectures and in office hours. Special attention will be given to the correct and precise use of mathematical language. It is recommended to consult the references suggested as bibliography to complete the material covered and see different points of view.

During problem sessions, the resolution of problems proposed periodically will be explained. These problems are given in lists based on the material covered in the lectures and guide the student to develop and apply the results and ideas seen in them. It is most important that the student tries hard to solve the problems before attending the problem sessions, to compare their ideas with peers and with the professors'.

Seminars are a complement of lectures and problem sessions. During each seminar session a list of exercises will be proposed, to develop some idea or technique of the course in depth. In the classroom the students will work in small groups on the exercises, checking with the lecturer as much as needed, and discussing in group possible strategies. The lecturer will explain the most significant aspects of the solutions. In all activities of the course the participation of students is essential, but in the case of seminars the session is structured around students' inputs, so it is of the greatest importance that they study the material given in the lectures before each seminar.

Along the course, exercises will be proposed that the students have to complete and hand in. 

All professors and lecturers will have office hours to answers students' questions.

The course also has a webpage in the Campus Virtual of the UAB where exercise lists will be available, alongside all material deemed relevant.

Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.

This subject will be evaluated through two exams (one partial and one final), delivery of exercises to the seminar and delivery of problems proposed by the teaching staff that will be announced conveniently through the Virtual Campus. The grades of these activities will give rise to a final grade that will be obtained by adding:

40% of the grade of the partial P1,

45% of the final grade P2 and

15% of the mark between the mark of the exercises in seminars & written problems and the mark of a possible oral interview concerning the written exercises in seminars and problems.

That is,

Final Note 0.15E + 0.4P1 + 0.45P2

In order to pass the subject, it will be necessary to obtain a final grade of more than 5 and it will be necessary to have a grade of the mid-term exam greater than 3 (out of 10) and a grade of the final exam greater than 3 (out of 10).

In the event that the student does not pass the subject with the previous evaluations, or wants to improve the grade (renounce to the one already obtained), he/she may take the recovery exam in which the entire subject will be evaluated. It will have a weight of 85%. The part of the deliveries is not recoverable.

After the final exam, honors that professors find clear will be awarded. These grades will now be final. If the maximum number of honors allowed has not been reached, the possibility of granting more will be reconsidered after the recovery exam.

A student will be considered not presented if it is not presented in any of the tests.

The dates of the different evaluation tests or the deadlines for the delivery of problems will be announced conveniently.

Single assessment

Students who have taken the single assessment modality must take a final test that will consist of an exam of the entire course of theory and problems, with the possibility of a personal interview with the teachers.These tests will be carried out on the same day, time and place as the tests of the final exam of the continuous evaluation modality.

If the final grade does not reach 5, the student has another opportunity to pass the subject through the recovery exam that will be held on the date established by the coordination of the degree. In this test, 100% of the grade of the subject can be recovered. These tests will be carried out on the same day, time and place as the tests of the recovery exam of the continuous evaluation modality.