- 15221: Students must have acquired knowledge and understanding in a specific field of study, on the basis of general secondary education and at a level that includes mainly knowledge drawn from advanced textbooks, but also some cutting-edge knowledge in their field of study.
- 15222: Students must be able to apply their knowledge to their work or vocation in a professional manner and have acquired the competences required for the preparation and defence of arguments and for problem solving in their field of study.
- 15223: Students must have the ability to gather and interpret relevant data (usually in their field of study) to make judgements that take relevant social, scientific or ethical issues into consideration.
- 15224: Students must be able to communicate information, ideas, problems and solutions to both expert and lay audiences.
- 15225: Students must have developed the learning skills needed to undertake further study with a high degree of autonomy.
- 8318: Capacity for analysis and synthesis.
- 8319: Capacity for organization and planning.
- 8320: Capacity for criticism.
- 8321: Solve problems that require the use of mathematical tools.
- 8322: Ability to work in teams.
- 8323: Learn autonomously.
- 8324: Adapting to new situations.
- 8326: Having the ability to gather and interpret relevant data with a gender perspective, to make judgments that include reflection on relevant social, scientific or ethical issues, particularly on the rights and practices of equality between women and men.
- 8327: Possess and understand the mathematical knowledge.
- 8328: Apply the knowledge in the professional world.
- 8329: Argue logically in decision-making.
- 8330: Expressing mathematically in a rigorous and clear manner.
- 8331: Reason logically and identify errors in the procedures.
- 8393: Capacity of abstraction and modeling.
- 8394: Participate in the implementation of software and learn mathematical software.
- 8395: Knowing the time and the historical context in which occurred the great contributions of women and men in the development of mathematics.
- 16422: Visualize and interpret the solutions obtained.
- 8321: Solve problems that require the use of mathematical tools.
- 8323: Learn autonomously.
- 8323: Learn autonomously.