Master's degree in Advanced Mathematics and Mathematical Engineering (MAMME)

School of Mathematics and Statistics (FME)

The master’s degree in Advanced Mathematics and Mathematical Engineering (MAMME) (master's degree website) is a master's programme in mathematics offered at the School of Mathematics and Statistics (FME).

The courses offered in MAMME allow our students to design their curriculum with two different orientations: a pure mathematics curriculum (oriented to research in fundamental mathematics) or an applied mathematics curriculum (preparing them for applied mathematics research and for interdisciplinary teamwork, in collaboration with engineers, physicists, biologists, economists, etc.).

The curriculum comprises a total of 60 ECTS credits, divided into 45 credits for courses and 15 for the master’s thesis. It is intended to be completed in one academic year. In addition, MAMME offers the possibility of enrolling for up to 22.5 ECTS credits in other master's degrees in mathematics or statistics, or in other UPC master's programmes, opening the path for an interdisciplinary curriculum based on selected courses in master's degrees in engineering and applied sciences. See the MAMME focus proposals at http://mamme.masters.upc.edu/en.

General details

Duration and start date: One academic year, 60 ECTS credits. Starting September and February
Timetable and delivery: Afternoons. Face-to-face
Fees and grants: Approximate fees for the master’s degree, excluding other costs (does not include non-teaching academic fees and issuing of the degree certificate):
€1,660 (€6,331 for non-EU residents).
More information about fees and payment options
More information about grants and loans
Language of instruction: English
Information on language use in the classroom and students’ language rights.
Location: School of Mathematics and Statistics (Barcelona)
Official degree: Recorded in the Ministry of Education's degree register

Admission

General requirements: Academic requirements for admission to master's degrees
Specific requirements: This master's degree is aimed at students with good abstract reasoning, an interest in problem solving, strong work habits and a liking for mathematics.

A scientific background is required, with basic mathematical foundations. For this reason, a bachelor's degree in mathematics, statistics, physics, engineering, economics or science is recommended. This list is non-exhaustive, and all applications will be reviewed on an individual basis.
Admission criteria: The following elements will be taken into consideration during the evaluation process: the academic record, the CV, a statement of purpose and, if deemed necessary, a personal interview and recommendation letters.
Places: 33
Pre-enrolment: Pre-enrolment closed (consult the new pre-enrolment periods in the academic calendar).

How to pre-enrol
Enrolment: How to enrol
Legalisation of foreign documents: All documents issued in non-EU countries must be legalised and bear the corresponding apostille.

Curriculum

First semester

Second semester

Advanced Course in Partial Differential Equations 7.5
Algebraic Geometry 7.5
Codes and Cryptography 7.5
Combinatorics 7.5
Computational Mechanics 7.5
Differentiable Manifolds 7.5
Hamiltonian Systems 7.5
Machine Learning 7.5
Master's Thesis 15
Seminar on Algebra, Geometry and Discrete Mathematics 3
Seminar on Analysis, Differential Equations and Modelling 3

CompulsoryECTS
OptionalECTS
ProjectECTS

Professional opportunities

Professional opportunities

Some of the career prospects of master's degree graduates are academic research (by pursuing a PhD in mathematics, science or engineering, for instance), mathematical modelling in industry, finance, statistics and applied research (biomedical research centres, computer vision, etc.).

Competencies

Generic competencies

Generic competencies are the skills that graduates acquire regardless of the specific course or field of study. The generic competencies established by the UPC are capacity for innovation and entrepreneurship, sustainability and social commitment, knowledge of a foreign language (preferably English), teamwork and proper use of information resources.

Specific competencies

On completing this master's degree, students will be able to:

(Research). Read and understand advanced mathematical papers. Use mathematical research techniques to produce and transmit new results.
(Modelling). Formulate, analyse and validate mathematical models of practical problems by using the appropriate mathematical tools.
(Calculus). Obtain (exact or approximate) solutions for these models with the available resources, including computational means.
(Critical assessment). Discuss the validity, scope and relevance of these solutions; present results and defend conclusions.
(Teaching). Teach mathematics at university level.

Double-degree agreements

Double-degree pathways with universities around the world

Master's degree in Advanced Mathematics and Mathematical Engineering (FME) + Master of Science in Applied Mathematics (Illinois Institute of Technology (ITT), Chicago, USA). (Only FME students to Illinois, not vice versa.)
Master's degree in Advanced Mathematics and Mathematical Engineering (FME) + Master of Science in Industrial and Applied Mathematics (MSIAM) (Institute d'Ingénerie et de Management, Université Grenoble Alpes (UGA), Grenoble, France)

Quality accreditation

Check the degree’s main quality indicators in the University Studies in Catalonia portal of the Catalan University Quality Assurance Agency. Find information on topics such as degree evaluation results, student satisfaction and graduate employment data.
Further information