There will be two hours a week of lectures, one hour a week of problems sessions, and 3 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. There will be an interview relative to some of the given exercises. Each student will keep a copy to prepare the interview.

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.

The course lasts for the whole academic year, and it results in a single grade, determined at the end, in July.

15% of the grade corresponds to submitted exercises and with a possible oral interview corresponding to them. The rest of the grade corresponds to exams done throughout the semester, with 35% for the mid-term exam and 50% for the final exam.

The course is passed if, according to the fixed weights, the grade is equal to or larger than 5, with the requirement that the grade obtained in the final exam is at least 3.5.

After this final exam, there will be a second-chance final exam, in which it is possible to improve the part of the grade corresponding to exams. Thus, this (non-mandatory) exam will account for 85% of the grade, and the remaining 15% will still correspond to the submitted exercises and interviews (which have no second-chance).

For students who take the resit examination (second-chance final exam) because they did not pass the course through the midterm and final examinations, the final course grade will be the minimum between 7 and the grade obtained in the resit examination together with the problem-set submission with interview.

For students who take the resit examination in order to improve their grade, the final course grade will be the minimum of A and B, where:

• A = the course grade obtained before the resit examination + 2;
• B = the grade obtained from the problem-set submissions with the oral interview, and the resit examination.

A student who does not take part in assessment activities corresponding to at least 50% of the grade will not be evaluated.

Unique assessment:

Those students who opt for the unique assessment will take a single exam in which the theory and practice content of the subject will be assessed. Also, on the day of the test, students will need to hand in a dossier with the different assignments that have been planned during the course. The exam will have a weight of 90% of the final mark and the remaining 10% will be obtained from the content of the delivered exercise file. The exam will be held at the same time as the exam of the second part of the subject. For this exam, the same \"second-chance exam\" system as for the continuous assessment will be applied, albeit with the weightings of the single assessment.