Teaching plan for the course unit

In order to be able to achieve the proposed objectives of the course, students are advised to have some basic knowledge of commutative algebra, equivalent to the optional subject Introduction to Commutative Algebra from the bachelor’s degree in Mathematics. Notwithstanding, this basic material is reread at the beginning of the course.   

Referring to knowledge

Referring to abilities, skills

The teaching methodology for the subject includes:


• Face-to-face theory classes (lectures);

• Face-to-face practical classes;

• Synchronous non-contact teaching (theory and practical classes); 

• Individual tutored work based on the submission of answers to problem-solving exercises;

• Independent learning of some topics included in the program. 

Teaching of the subject is structured around two weekly classes of two hours each held over one semester.

In these classes the teacher presents lectures on the theoretical content of the course; For each topic a list of problem-solving exercises is handed out, allowing students to practice acquired skills and the application of concepts; Completed answers to these exercises should be submitted to the teacher, who will then make annotated corrections; Students are required to present and discuss some of these exercises in class.

Throughout the semester each student is assigned a personal project related to the course content, which must be presented to the class in dedicated sessions that take place once all the face-to-face lectures have been completed; These projects are intended to be completed using bibliographic reference material provided by teachers and independently sourced.

There will be one hour face-to-face class of theory that will be used to comment on the theoretical resuts. The proofs and some examples will be given by written notes or other audiovisual media. Their study will be part of the independent learning. Another hour of face-to-face class will be used to discuss the solutions to the exercises submitted by the students individually. There will be two more hours of synchronous non-contact teaching to complete the face-to face classes, both of theory or practical according to how the program be develping.  

In the case of partial or full virtual teaching required by the health situation, the schedules and distribution of the face-to-face classes will be mantained and changed to synchronous non-contact teaching accordingly

 

 

 

 

To pass the subject, students must demonstrate proficiency in the subject through continuous assessment. This includes the evaluation of answers to problem-solving exercises completed independently, which are used to assess the capacity and ability to apply acquired knowledge. The individual presentation of a personal project allows teachers to assess the capacity for independent learning and mathematical research. The final grade depends on both the quantity and quality of exercises handed in and the presentation of the personal project and corresponding written report.

Examination-based assessment

Students who wish to opt out of continuous assessment must notify the teacher in charge within fifteen days from the commencement of the teaching activities for the subject.