Master's Degrees

  • Master's Degree in Introduction to Mathematics Research

    General Information

    Teaching Languages:
    Spanish and English
    1 year (60 ECTS credits)
    Precio orientativo:
    Access Requirements:

    In order to register in an official Master's Degree, it is mandatory to have completed an official degree in Spain or in any higher education institution of a member state of the European Union integrated in the European Higher Education Area (EHEA) that allows students to take a Master's Degree. Students who have obtained their degree outside the EHEA can be admitted as long as the University can verify that these qualifications have a similar level to the corresponding degrees in Spain and they permit graduates to take a Master's Course.

    This Master is primarily intended for Graduates in Science, Mathematics, Physics, Economy or Engineering who wish to acquire the neccessary skills in order to start research activities or to gain a deeper knowledge in Applied Mathematics and Statistics in order to work in a company or a technology centre. Students must officially prove that they are competent in English.

    Attendance required
    Teaching Center:
    • Universidad of Oviedo (Faculty of Science)
    • University of the Basque Country
    • University of Zaragoza
    • University of La Rioja
    • Public University of Navarra

    Professional Opportunities

    There are several prestigious research groups in Algebra, Mathematical Analysis, Operative Statistics and Research, Geometry and Topology, and Applied Mathematics form the five collaborating universites participating in this Master's Course.

    This programme focuses in providing an advanced and thorough knowledge in order to meet the growing social demand for researchers in basic and applied mathematics. After having successfully completed this Master's Course, students will be able to follow a PhD Programme in Mathematics in any of the participating universities.


    The Master's Degree Study Plan is being submitted to verification. This might involve the change of the name and the study load of some subjects. If the verification is accepted, these enrolment parameters will need to be modified in line with the new situation

    This Master consists of 20 optional subjects that cover all areas of knowledge in Mathematics: Algebra, Mathematical Analysis, Operational Research and Statistics, Geometry and Topology, and Applied Mathematics. There is also a cross-curricular subject that is considered essential for any researcher in Mathematics.

    All subjects are taught intensively at the proper university. There are three academic periods or semesters planned according to an academic schedule. The first period takes place in November and December at the University of the Basque Country (Bilbao), the second period takes place in February and March at the University of Zaragoza, and the last and shortest period can be completed in any of the remaining universities (the University of Oviedo, the Public University of Navarra or the University of La Rioja).

    Students who meet the requirements set by the Ministry of Education and Science can apply for a mobility grant, since each semester all students must travel to the appropriate University according to the aforementioned plan.

    Course content:

    • Master's Thesis


    • Theory of Nonassociative Algebras (5 ECTS)
    • Representation Theory (5 ECTS)
    • Group Theory (5 ECTS)
    • Algebra Seminar, Algebraic Number Theory and Applications (5 ECTS)

    Mathematical Analysis:

    • Fourier Analysis and Applications (7 ECTS)
    • Functional Analysis Methods and Complex Variable (7 ECTS)
    • Partial Differential Equations (6 ECTS)

    Applied Mathematics:

    • Mathematical Modelling, Dynamic Systems and Control  (7 ECTS)
    • Numerical Methods for Differential Problems (7 ECTS)
    • Numerical Methods in Linear Algebra and Representation of Curves and Surfaces (6 ECTS)

    Operational Research and Statistics:

    • Stochastic Processes and Applications (5 ECTS))
    • Limit Theorems of Probability Theory and Applications (3 ECTS)
    • Statistics and Decision Theory (5 ECTS)
    • Combinatorics (3 ECTS)
    • Optimization (5 ECTS)

    Geometry and Topology:

    • Fundamentals of Geometry (5 ECTS)
    • Advanced Course on Geometry (5 ECTS)
    • Fundamentals on Topology (5 ECTS)
    • Advanced Course on Topology (5 ECTS)

    Cross-cultural subject:

    • Communication and Software (6 ECTS)
    Detailed Information on the Syllabus:


    • Faculty of Science
      University of Oviedo
      C/ Calvo Sotelo, s/n
      33007 Oviedo
      985 10 49 17 / 985 10 49 18
      985 10 49 59
    • Coordinating University: Universidad de Zaragoza
      C/ Pedro Cerbuna, 12
      50009, Zaragoza
      976 76 15 07

    Coordination :

    • General Coordinator: Dr. José Ignacio Cogolludo (University of Zaragoza)
    • Dr. José María Pérez Izquierdo (University of La Rioja)
    • Dra. Consuelo Martínez López (University of Oviedo)
      985 10 33 37
    • Dr. Luis Vega (University of the Basque Country)
    • r. Inmaculada Higueras (Public University of Navarre)

    Other Websites of the Master's Degree: