Master’s degree in Mathematics

General Objectives of the Course

The Master Program in Mathematics aims at preparing mathematicians capable of understanding, framing, formulating, and solving problems in research, development, and innovation, in the context of the public administration, banking, commerce, industry, and service industries. The program passes on a wide range of knowledge, which is rigorous when theory is concerned and ample and well-motivated when the view point of applications is taken, exploiting computational resources whenever necessary and considered opportune.
The goal of the area of specialization in Pure Mathematics is to provide advanced training in Algebra, Analysis, and Geometry, in a way sufficiently solid and comprehensive to allow investigating problems of sophisticated mathematical structure and of high level of theoretical difficulty.
The area of specialization in Statistics, Optimization, and Mathematics and Finance aims at proving training in the solution of problems involving treatment and analysis of data and support decision making, focusing in the ways of dealing with the unknown, the uncertainty, the risk, the scarceness, and the efficiency, in particular in the context of applications in Finance.
The area of specialization in Applied Analysis and Computing aims at offering an integrated training in scientific computing, more precisely in the solution of quantitative problems using computational programming and simulation, mathematical models, and a diversity of analytical, statistical, and numerical techniques.
The last two areas of specialization also offer a solid mathematical preparation in their respective underlying domains of knowledge, allowing a future basic research activity in such domains.

Admission Requirements

a) Holders of the Bachelor’s degree or legal equivalent;
b) Holders of a foreign academic degree after completing 1st cycle of studies organized according
to the principles of the Bologna Process by a State joined to this process,
c) Holders of a foreign academic degree that is recognized as meeting the objectives of the Bachelor’s degree by the Scientific Council of the Faculty of Science and Technology;
d) Holders of an academic, scientific or professional curriculum that is recognized by Scientific Council of Faculty of Science and Technology to attest the capacity to complete this cycle of studies.

Candidates should check the admission requirements available on this site, in addition to the information provided here.

Professional Goals

The hereby proposed Master Program in Mathematics offers general instruction, by training abstract thinking and stimulating autonomy and creativity. Moreover, it passes on a large spectrum of theoretical, practical, and computational knowledge with enormous applicability in the most diverse analytical and quantitative problems where Mathematics plays a relevant role. Thus, the career opportunities for holders of the MSc in Mathematics are vast and varied. They can be found in research and universities, as well as in all public and private sectors of activity: (i) banking, management, and insurance; (ii) administration, service industry, commerce, information technology (IT), and telecommunications; (iii) industry and technological development.

Mode of Study

Full or part time attendance, classroom-based for continuous assessment, daytime schedule.

Teaching / Evaluation language(s)


Examination Regulations, Assessment and Grading

The assessment and grading rules follow the “Regulamento Pedagógico da Universidade de Coimbra”. The grading methodology of each course is given in the corresponding course form (FUC) – Appendix III. Course grades are given in a scale from 0 to 20.

Learning Objectives and Intended Skills

The Master Program in Mathematics trains a set of specific skills, which are inherent to a graduate program of this nature:
(i) knowledge of relevant mathematical theories and of their main results and of how these results are articulated among of them and are applied, simultaneously using the mathematical rigor as a fundamental language to the learning and assimilation processes and intuition as a mechanism to support and motivate.
(ii) ability to understand, frame, formulate, and solve mathematical problems, independently of their origin or structure, possibly in a multidisciplinary mathematical environment or in the context of an application in Science, Engineering, Economics or Finance.
(iii) ability to use computational tools for solving exactly or approximately complex mathematical problems or instances of problems involving extensive or uncertain data, correctly interpreting the obtained results in the light of the acquired mathematical knowledge.
Regarding general skills, namely instrumental, personal or systemic, these are generically described in the Dublin descriptors for first and second cycle studies. These skills are described in Appendix III for each course individually.

Course Coordinator(s)

Sílvia Alexandra Alves Barbeiro

ECTS Departmental Coordinator(s)

Daniel Alexandre Peralta Marques Pinto

Ivan Yudin

Recognition of Prior Learning

Recognition of prior learning is carried out in accordance with the Academic Regulation of the University of Coimbra.

Qualification Requirements and Regulations

The legal framework for the qualification is established by the Decree-Law no. 74/2006, March 24th , amended and republished by the Decree-Law no. 107/2008, June 25th, and the Ordinance no. 782/2009, July 23rd.

Graduation Requirements

Preparation and public defense of a dissertation.

Access to Further Studies

Holders of an MSc in Mathematics may apply to a PhD program (or third cycle studies) in Mathematics or in a closely related scientific area.

Study Programme

Applied Analysis and Computation
Pure Mathematics
Statistics, Optimization and Financial Mathematics

Academic year

Course Type
2nd Cycle Studies - Continuity Master Programme

DGES Code: 9315

Qualification Awarded: Mestre

Duration: 4 Semester(s)

ECTS Credits: 120.0

Category: Continuity second cycle


Call for Applications


Agência de Avaliação e Acreditação do Ensino Superior
2020-07-31 a 2026-07-30
Direcção Geral de Ensino Superior

Nº Registo: R/A-Ef 1579/2011