Bachelor's degree in Mathematics

School of Mathematics and Statistics (FME)

The bachelor’s degree in Mathematics, accredited with excellence by AQU Catalunya, you will acquire a solid, full and rigorous education in all the basic mathematical subjects and their multiple applications. If you are interested in research, you will have all the tools you need to successfully join leading research groups working in mathematics, engineering and technology, natural and health sciences or social sciences. You will also be able to pursue a professional career in the world of business and industry and in sectors such as banking and finance, consulting, health or services, in which mathematicians are increasingly valued for their rigorous training and their capacity for analysis and learning. If teaching is your vocation, once you have completed the master's degree in teacher training you can teach mathematics in secondary schools.

General details

Duration

4 academic years

Study load

240 ECTS credits (including the bachelor's thesis). One credit is equivalent to a study load of 25-30 hours.

Delivery

Face-to-face

Admission mark 2025-2026 academic year

12,644

Timetables

Mornings

Language of instruction

Check the language of instruction for each subject (and timetable) in the course sheet in the curriculum.

Information on language use in the classroom and students’ language rights.

Fees and grants

Approximate fees per academic year: €1,061 (€1,800 for non-EU residents ). Consult the public fees system based on income (grants and payment options).

Location

School of Mathematics and Statistics (FME)

Official degree

Recorded in the Ministry of Science, Innovation and Universities

Admission

Places: 75
Pre-enrolment code: 31040
Places via a change of degree: 6
Admission mark 2025-2026 academic year: 12,644. Admission mark
Weighting. University entrance examinations (PAU): Weighting. University entrance examinations (PAU)
Registration and enrolment: What are the requirements to enrol in a bachelor's degree course?
CFGS credit transfer: Consult the university studies search engine of the Universities Channel of the Generalitat de Catalunya
Legalisation of foreign documents: All documents issued in non-EU countries must be legalised and bear the corresponding apostille.

Curriculum

First semester

Second semester

Third semester

Fourth semester

Fifth semester

Sixth semester

Seventh semester

Mathematical Models in Technology 9
Abstract Algebra 3
Algorithmics and Complexity 6
Bayesian Methods 6
Combinatorics and Graph Theory 6
Cryptology 6
Data Engineering and Blockchain 3
Data Science for Finance 3
Differentiable Manifolds 6
Dynamical Systems 6
Experimental Design 6
Files and Databases 6
Galois Theory 6
Generalised Linear Models 6
Industrial Statistics 6
Linear Models 6
Mathematics Applied to Music 3
Mathematics for Education and Dissemination 6
Mathematics of Digital Technologies 3
Numerical Methods for Differential Equations 6
Statistical Methods for Finance and Insurance 6
Statistical Methods in Data Mining 6
Time Series Analysis 6

Eighth semester

Algebraic Geometry 6
Algebraic Topology 6
Computational Modelling 6
Control Theory 6
Demography 6
Econometrics 6
Engineering Optimisation 6
Financial Mathematics 6
Financial Optimisation 6
Functional Analysis 6
History of Mathematics 6
Multivariate Analysis 6
Music and Mathematics 3
Non-Linear Time Series Analysis 6
Non-Parametric and Resampling Methods 6
Quantum Computing 6
Queueing Theory and Simulation 6
Statistics for Biosciences 6
Survival Analysis 6
Bachelor's Thesis 15

CompulsoryECTS
OptionalECTS
ProjectECTS

Professional opportunities

Professional opportunities

Data analysis for the financial sector, insurance companies and administrations that work with large volumes of information.
Data analysis, programming and software engineering for companies in the industrial, service and technology sectors, as well as in market research, planning and team management.
Banking, finance and insurance: risk analysis and control, portfolio and fund management, investments, design and valuation of financial products, cryptography and security.
Strategic and technological consulting, project management and studies.
Secondary school teaching in public or private schools, as well as in publishing houses and companies in the education sector.
Research in other sciences, engineering and technology: research centres and laboratories in the public and private sectors in areas such as computing, communications, robotics, mechanics, biology or medicine.
Research in mathematics: teaching and research staff at universities and research centres.

Double-degree agreements

With Escola Superior de Música de Catalunya (ESMUC)

Bachelor's degree in Mathematics + Higher Music degree

Within the framework of the courses offered by the Interdisciplinary Higher Education Centre (CFIS)
You can also take an interdisciplinary double degree coordinated by the CFIS at two UPC schools.
Further information on the CFIS website

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