General information
Master's degree in Advanced Mathematics and Mathematical Engineering (MAMME)
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, €1,660 (€4,150 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
- 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.
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)
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.
Organisation: academic calendar and regulations
- UPC school
- School of Mathematics and Statistics (FME)
- Academic coordinator
- Jordi Saludes Closa
- Academic calendar
- General academic calendar for bachelor’s, master’s and doctoral degrees courses
- Academic regulations
- Academic regulations for master's degree courses at the UPC
Curriculum
First semester
- Commutative Algebra
7.5 - Discrete and Algorithmic Geometry 7.5
- Graph Theory 7.5
- Mathematical Modelling with Partial Differential Equations 7.5
- Mathematical Models in Biology 7.5
- Non-Commutative Algebra 7.5
- Number Theory 7.5
- Numerical Methods for Dynamical Systems 7.5
- Numerical Methods for Partial Differential Equations 7.5
- Quantitative and Qualitative Methods in Dynamical Systems 7.5
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
Pre-enrolment
Pre-enrolment for this master’s degree is currently closed.
Use the “Request information” form to ask for information on upcoming pre-enrolment periods.
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