Courses detail

Students have shown to have and understand knowledge in an area of study based on general secondary education, and often find themselves at a level which, although supported by advanced textbooks, also includes some aspects that involve knowledge from the forefront of their field of study.
Students know how to apply their knowledge to their work or vocation in a professional manner and have the abilities that tend to be demonstrated through the development and defense of arguments and the resolution of problems within their field of study
Students have the ability to gather and interpret relevant data (normally within their field of study) to make judgements that include reflection on issues of a social, scientific or ethical nature
Students can transmit information, ideas, problems and solutions to both specialist and non-specialist audiences
Students have developed the learning skills needed to undertake higher studies with a high degree of autonomy

(Knowing): Students should be able to show they possess and understand knowledge in the area of Mathematics, starting from the basis of their general secondary education and at a level which, while based on advanced textbooks, at the same time includes certain aspects involving knowledge from the vanguard of the study of Mathematics.
(Applying): Students should know how to apply mathematical knowledge to their work or vocation in a professional way and should possess the competences that are usually demonstrated through the elaboration and defence of arguments and problem solving within the field of Mathematics.
(Reflecting): Students should have the ability to collect and interpret relevant data, within the field of Mathematics, in order to emit judgements that include a reflection on relevant social, scientific or ethical topics.
(Learning): Students should have developed the learning skills required to undertake further studies in Mathematics with a high degree of autonomy.
(Communicating): Students should be able to transmit information, ideas, problems and solutions in the area of Mathematics to a specialist and non-specialist audience.
(Autonomy) Autonomous learning of new knowledge and techniques.
(Working in teams) Knowing how to work in teams.
(Searching for information) Use of search tools for bibliographical references and in Internet.
(Reading) Reading of scientific texts written in Spanish and in English.

(Understanding) Comprehension and use of mathematical language.
(Knowing demonstrations) Knowledge of the rigorous proofs of some classical theorems in different areas of Mathematics.
(Demonstrating) Acquisition of the capacity to construct proofs.
(Abstracting) knowing how to abstract structural properties (of mathematical objects, from observed reality and from other settings) by distinguishing them from the purely incidental ones and to be able to test them with proofs or to refute them with counterexamples, and to identify errors in incorrect reasoning.
(Assimilating) Assimilation of the definition of a new mathematical object, in terms of others already known, and being able to use this object in different contexts.
(Modelling) Proposing, analysing, validating and interpreting models of simple real situations by using the most appropriate mathematical tools to achieve the goals pursued.
(Problem solving) Solving problems in Mathematics, through basic calculus skills and others, by planning the solution in terms of the tools available and the restrictions on time and resources.
(Using software). Use of computer applications for statistical analysis, numerical and symbolic calculation, graphic visualisation, optimisation and others in order to experiment in Mathematics and to solve problems.
(Developing programs) Development of programs that solve mathematical problems by using for each case the appropriate computational environment.