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Master's Degree in Advanced Mathematics and Mathematical Engineering

Universitat Politècnica de Catalunya
Program overview
1 year
Full time
Master's degree
Scholarships available
Start dates
September 2021

February 2022

September 2022

February 2023

Program description

Master's Degree in Advanced Mathematics and Mathematical Engineering

The master’s degree in Advanced Mathematics and Mathematical Engineering (MAMME) 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.

Admission requirements

General requirements

  • An official Spanish university qualification or an official university qualification issued by a university in the European Higher Education Area (EHEA) that qualifies the holder for admission to a master's degree.
  • A qualification issued by a university in a country that is not in the EHEA. If the qualification has not been homologated, the UPC will verify that the course of study corresponds to a level of education equivalent to an official Spanish university degree and that the qualification obtained would provide admission to a master’s degree in the country in which it was awarded. This access route in no way implies the homologation of the qualification or its recognition for any purpose other than admission to the master's degree. The master's degree will, however, be fully and legally valid.

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.

For more information about admission requirements, please visit the university website.

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Program content

First semester

  • Commutative Algebra
  • Discrete and Algorithmic Geometry
  • Graph Theory
  • Mathematical Modelling with Partial Differential Equations
  • Mathematical Models in Biology
  • Non-Commutative Algebra
  • Number Theory
  • Numerical Methods for Dynamical Systems
  • Numerical Methods for Partial Differential Equations
  • Quantitative and Qualitative Methods in Dynamical Systems

Second semester

  • Advanced Course in Partial Differential Equations
  • Algebraic Geometry
  • Codes and Cryptography
  • Combinatorics
  • Computational Mechanics
  • Differentiable Manifolds
  • Hamiltonian Systems
  • Machine Learning
  • Seminar on Algebra, Geometry and Discrete Mathematics
  • Seminar on Analysis, Differential Equations and Modelling

Scholarships & funding

Several scholarship options are available. Please check the university website for more information.

Tuition fees

Approximate fees (per year):

  • EU students: €2,766
  • Non-EU students: €4,149


60 ECTS credits

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.

Career opportunities

Some of the career prospects of master 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.).

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About this institute

Universitat Politècnica de Catalunya

The Universitat Politècnica de Catalunya · BarcelonaTech is a public institution of Higher Education and Research, specialised in the areas of Architecture, Engineering, Science and Technology. The UPC offers 64 bachelor’s degrees, 75 master’s programs (30 of them fully in...

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Contact info

Universitat Politècnica de Catalunya

Campus Nord, Calle Jordi Girona, 1-3
08034 Barcelona Catalonia

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