The theoretical sessions will be dedicated to the presentation by the lecturer of various methods and their analysis. The presentation of the methods will be accompanied by examples of their behavior aimed at both facilitating the understanding of the method and motivating its analysis.

In the problem-solving sessions, theoretical and computational problems will be solved.

The computer practice sessions will be dedicated to solving problems that will be implemented in a compiled language. In solving these problems, students will gradually build their personal library of routines that implement basic numerical methods.

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 evaluation of the course will be carried out through three activities:

• Partial exam (EP): exam on part of the subject, with theoretical questions and problems.

• Final exam (EF): exam on the entire subject, with theoretical questions and problems.

• Computer practice (PR): submission of code and a report. Some practice sessions will be evaluated.

Additionally, students may take a resit examination (ER) with the same characteristics as the final exam (EF).

To pass the course, it is required that max(0.42EP + 0.58 EF, EF, ER) ≥ 5 and that EF ≥ 5 and PR ≥ 4

The final course grade will be:

0.85 · max(0.42·EP + 0.58·EF, EF, ER) + 0.15 · PR.

Honours distinctions will be awarded in the first complete assessment of the course. They will not be withdrawn if another student obtains a higher grade after considering the ER examination.

Single assessment

Students who have opted for the single assessment modality must take a final test consisting of a theory and problem-solving exam. To take this test, they must submit, before the start of the exam, all assignments required during the course, which will be assessed through an oral examination.

To pass the course, the assignment grade must be at least 4 out of 10 and the exam grade at least 5 out of 10. The final grade will be the weighted average of both activities, where the exam accounts for 85% of the grade and the assignments 15%.

If the final grade is below 5, a new opportunity will be given to pass the course through the resit examination, which will be held on the date set by the programme coordination. In this exam, 85% of the theory grade may be recovered. The practical component is not recoverable.

The criterion for obtaining a “Not assessable” grade is as follows: a student will be considered to have participated in the course if they submit at least half of the assignments or take any of the exams (EP or EF). Otherwise, the grade will be “Not assessable”.

Use of Artificial Intelligence (AI)

For this course, the use of Artificial Intelligence (AI) technologies is permitted exclusively for studying, clarifying concepts, practising, and debugging code. They may also be used to review solutions previously developed by the students themselves. It is not permitted to submit AI-generated content as one’s own work or to use AI during individual assessments unless explicitly authorised. Students must be able to explain and defend any solution, algorithm, or code they submit.

Students must clearly identify which parts have been generated using this technology, specify the tools used, and include a critical reflection on how these tools have influenced both the process and the final outcome of the activity. Failure to disclose the use of AI in this assessed activity will be considered a breach of academic integrity and may result in a partial or total reduction of the grade for the activity, or more severe penalties where appropriate.