Universidad Autónoma de Madrid

Official Master Degrees

Master's Degree in Mathematics and Applications [Specialization in Introduction to Research / Specialization in Applications of Mathematics]

  • In line with the Verification Report on this Master’s Degree, the minimum competences, both general and specific ones, which this study programme will provide for those students who complete this Master’s Degree are as follows:


    General competences:

    G1- Students will know how to apply both the knowledge and the capacity for analysis and abstraction acquired to the definition and exploration of new problems and the search for solutions in both academic and professional contexts. Furthermore, they will know how to apply the knowledge acquired and their capacity for solving problems in new or unknown environments and within broader and interdisciplinary contexts related to Mathematics or its applications.

    G2- Students will be capable of integrating knowledge and facing the complexity of developing opinions based on information which may be incomplete or limited. These will include, where necessary, some reflections about the social and ethical responsibilities linked to the application of this knowledge.

    G3- Students will able to explain their mathematical conclusions –and the knowledge and underlying reasons on which they are based – to a specialist and non-specialist public in a clear and unambiguous manner.

    G4- Students will possess the learning skills that will allow them to continue studying autonomously and begin the research phase of doctoral studies.

    G5- Students will be able to gather and interpret relevant data, information or results related to mathematical, scientific, technological or other problems which require the use of mathematical tools, as well as reaching conclusions and presenting them rationally.

    G6- Students will be capable of working as part of a team.


    Specific competences:

    E1. Knowledge of the fundamental results needed in each field of Mathematic and its applications in order to begin research.

    E2. Knowledge of rigorous demonstrations of advanced theorems in various fields of Mathematics.

    E3. Experience in the use of the techniques learned in the study of the demonstrations of advanced theorems.

    E4. Knowledge of theories and key concepts and their practical application to solving problems.

    E5. Ability to make proposals on the frontiers of knowledge in some field of Mathematics in order to construct demonstrations and transmit the results.

    E6. Discrimination, after a preliminary analysis, of the difficult and delicate aspects of solving a problem.

    E7. Ability to symbolically and rigorously formulate a problem starting with a (possibly incomplete) verbal description so as to facilitate is analysis and solution.

    E8. Ability to define new mathematical objects in terms of previously known objects in order to use them in different contexts.

    E9. Ability to select and apply the most suitable procedure to solve a problem.

    E10. Ability to produce and develop advanced mathematical reasoning.

    E11. Ability to abstract the structural properties (of mathematical objects, of observed reality, from other environments) and to distinguish them from those which are purely occasional and to test them with demonstrations or refute them with counter-examples that require a high level of Mathematics.

    E12. Ability to propose, analyze, validate and interpret models of real, complex situations, using the most suitable mathematical tools required for the purpose.

    E13. Use and development of computer applications for statistical analysis, numerical and symbolic calculus, graphic visualization, optimization or other applications to experiment in the field of Mathematics and solve problems.

    E14. Use of technological and audiovisual means for the effective communication of mathematical results.

Future Students

  • How to apply for admission
  • Enrolment
  • Recommended profile
  • You may also find the following information of interest

    Regulations adaptation, recognition and credit transfer

    Admission Requirements

    The Master’s Degree in Mathematics and Applications is aimed at students who have completed studies leading to the Bachelor’s Degree in Mathematics or any equivalent degree at a foreign university entitling the holder to access postgraduate programmes in Mathematics in that country. This programme is also open to students with a degree in another field related to Mathematics such as Engineering, Physics, etc.

    For admission to Master's Degree in Mathematics and Applications, applicant's previous training in mathematics (30%) and academic record (70%) will be assessed. Applications are prioritized based on this assessment. In case of tie graduates in Mathematics will have priority.

    Since English is a tuition language, for admission B2 English language level will be required. This level must be proved by certificates from recognized entities




    Specific Admission Documentation and Requirements

    Applicants with access studies pending finalization must include a Statement of having finished the previous studies stating the expected date of finalization.



    Accreditation of B2 English language knowledge




    Application to a combined Master’s Degree in Mathematics and Applications + Master’s Degree in Research and Innovation in Information and Communications.


    A Master’s Degree Programme is available combining the Master’s Degree in Mathematics and Applications and the Master’s Degree in Research and Innovation in Information and Communications Technologies, which leads to a double Master’s Degree.

    (Spanish Version)

Enrolled students

Monitoring and Quality Control

Further information

Master's Website

Master's Website

Description of the degree

  • Current academic offer
  • Centre, department or institute responsible: Department of Mathematics
  • Location: Faculty of Sciences
  • Year established: 2009-2010
  • Type: in-class
  • Credits 60 (up to 120 with supplementary training)
  • Minimum ECTS per enrolment / per year: 24 / part-time students; 36 / full-time students
  • Teaching languages spanish and english
  • Número de plazas ofertadas: 25

Contact Details


Dragan Vukotic




Any query on the procedure for admission to this Master’s degree should be addressed to posgrado.oficial@uam.es