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Master's Programme in Mathematics

  • Number of credits 120 credits
  • Study time 2 years (full time)
  • Level Master’s Degree
  • Starting Autumn Term 2024

Hone your analytical powers and deepen your knowledge of mathematics! Umeå University offers a two-year Master's programme in Mathematics with a close connection to the mathematical research groups at the university. The programme will equip you with a solid theoretical foundation for pursuing careers in research and development, be it in government, finance, the tech industry or academia.

While studying

You will be part of a small, human-sized Master's programme and Mathematics department, giving the possibility for richer and more personal interactions between students and teachers. During their first course on the programme, incoming students choose a mentor from one of our  research groups – Discrete Mathematics, Analysis and Modelling, Computational Mathematics and Mathematical Statistics. The mentor follows the student through the programme, giving advice on the choice of courses and thesis topics, as well as on applications to PhD programmes.

A degree tailored to your interests

As a student on the programme, you have great freedom to pick and choose courses in mathematics and from related fields such as computer science, physics and statistics from a large list of electives in order to tailor your degree to you interests and future plans.

Teaching on the programme consists of a mixture of lectures, seminars and individual supervision. All teaching on the programme is done in English and by active researchers. Students on the programme also have the opportunity of taking part in a semester-long exchange abroad at partner mathematics departments in Germany, Italy, France, Spain, England, the Czech Republic, China, South Korea, Turkey and Kazakhstan as part of their studies.

After a semester of common courses and two semesters of electives, students spend their final semester working on a Master’s Thesis in one of our areas of research expertise: Discrete Mathematics, Analysis and PDE theory,  Financial Mathematical, Numerical Analysis and Computational Mathematics, Mathematical Modelling of Evolution and Biological Phenomena, Machine Learning, Optimisation and Mathematical Programming, Data Science and Mathematical Statistics.

Why Umeå?

The programme's greatest draw is its close connection to the life of the research groups in the department, which we hope you will take full advantage of. As a student on the programme, you will be able to work on research and thesis projects with some of our young and highly successful researchers, and to use the mentoring system as a gateway into the world of research.

In this digital age, mathematical skills are in high demand across the economy. In addition some of our core, profile and elective courses, and much of our research, lie in exciting "hot topic" areas such as network science, modelling, financial mathematics, numerical analysis, artificial intelligence and big data. The employment prospects of our graduates are thus excellent.

A young city with rich cultural life

Finally, Umeå provides a highly attractive environment for studying. It is a young and fast growing city of around 120 000 inhabitants, of whom over 35 000 are students. This makes for a rich cultural life, with many pubs, cafés, restaurants, concerts and festivals. The city is home to Norrlands Opera and to Bildmuseet, a museum of contemporary art and visual culture. In 2014, Umeå shared with Riga the distinction of being the European capital of culture.

The city is small, extremely safe and well-run, with an extensive network of bicycle paths allowing its denizens to cycle all year round. It is surrounded by beautiful nature – from the Umeå river, which freezes over in winter and becomes criss-crossed with cross-country skiing tracks, to Nydala lake and the Gammlia forest within the city limits, and to the vast and largely unspoiled countryside of forests, lakes and seashore just outside it. And of course studying in Umeå allows you to experience the Swedish way of life, with its well-delineated seasons and traditions, from Sankta Lucia in the dark of December to Midsommar in the overflowing light of June, with coffee and cinnamon buns throughout.

Read more about the Department and Umeå University

Programme overview

Core courses in Mathematics:

Research in the Mathematical Sciences, 7.5 credits 
Probability Theory, 7.5 credits
Numerical Methods for Partial Differential Equations, 7.5 credits
Stochastic Differential equations. 7.5 credits

Degree projects in Mathematics:

Thesis Project for a Degree of Master of Science (60 credits) in Mathematics, 15 credits
Thesis Project for a Degree of Master of Science (120 credits) in Mathematics, 30 credits

Elective courses in Mathematics:

Extremal and probabilistic combinatorics, 7,5 credits
Algebraic and geometric combinatorics, 7.5 credits
Enterprise Risk Management, 15 credits
Financial Mathematics, 7.5 credits
Graph Theory, 7,5 credits
Integer Programming, 7.5 credits
Integration Theory, 7.5 credits
Monte Carlo Methods for Financial Applications, 7.5 credits
Numerical Methods for Partial Differential Equations, 7.5 credits
Probability Theory, 7.5 credits
Stochastic Differential equations. 7.5 credits
The Finite Element Method, 7.5 credits
Transform methods, 7.5 credits
A Mathematical Introduction to Machine Learning, 7.5 credits
Continuous Optimization, 7.5 credits

Elective courses in Mathematical Statistics:

Statistical learning with high dimensional data analysis, 7.5 credits
Time Series and Spatial Statistics, 7.5 credits
Stationary Stochastic processes, 7.5 credits
Current Research in Mathematical Statistics, 7.5 credits
Inference theory, 7.5 credits

Elective courses in Computing Science:

Computational Complexity, 7.5 credits
Efficient Algorithms, 7.5 credits
Matrix Computations and Applications, 7.5 credits
Engineering Optimization, 7.5 credits

Elective courses in Physics:

Computational Fluid Dynamics, 7.5 credits
Modelling and Simulation, 7.5 credits
Modelling the Dynamics of Living Systems, 7.5 credits
Monte Carlo Simulations of Critical Phenomena in Physics, 7.5 credits
Information, networks and markets, 7.5 credits


There is flexibility to mix and match courses from the various profiles of the programme, and from mathematical statistic, physics and computer science. Your mentor will help you choose a tailor-made set of courses from the available options.

In addition to the regular courses listed above, we offer other advanced-level courses on a more ad hoc basis, with topics covered in recent years including Differential Geometry, Measure Theory and Combinatorial Number Theory. Students on the programme may also replace suggested courses with courses from the sister programme in Mathematical statistics or take advanced undergraduate courses in Topology, Real Analysis, Complex Analysis, Graph Theory, Number Theory and Algebraic Structures if they have not taken such courses before.

Career opportunities

Graduates of a master’s programme in mathematics have a wide range of opportunities available to them. Mathematicians and mathematical skills are highly sought-after in finance and in IT, for example, and in research and development more generally. And of course a master’s programme is a natural springboard for entering a PhD programme and pursuing an academic career.

Application and eligibility

Master's Programme in Mathematics, 120 credits

Visa tillfällen för föregående termin Autumn Term 2024 Det finns inga senare terminer för kursen

Second admission round for EU/EEA citizens

Programme starts

Autumn Term 2024

Type of studies

100%, Daytime

Study location

Umeå

Language

English

Eligibility

A Bachelor's degree or equivalent first-cycle qualification comprising of at least 180 ECTS or a corresponding qualification from an internationally recognised university. Specific entry requirements are at least 90 ECTS in Mathematics, at least 7,5 ECTS in Mathematical Statistics and at least 7,5 ECTS in Programming Methodology, or equivalent. Proficiency in English equivalent to Swedish upper secondary course English B/6. Entry requirements

Selection

Academic credits completed by the last application date (in the range of 30-285 credits equivalent to ECTS)

Application code

UMU-P5064

Application

The online application opens 15 March 2024 at 13:00 CET. Application deadline is 15 April 2024. How to apply

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 71,400

Total fee

SEK 285,600

International admission round

Programme starts

Autumn Term 2024

Type of studies

100%, Daytime

Study location

Umeå

Language

English

Eligibility

A Bachelor's degree or equivalent first-cycle qualification comprising of at least 180 ECTS or a corresponding qualification from an internationally recognised university. Specific entry requirements are at least 90 ECTS in Mathematics, at least 7,5 ECTS in Mathematical Statistics and at least 7,5 ECTS in Programming Methodology, or equivalent. Proficiency in English equivalent to Swedish upper secondary course English B/6. Entry requirements

Selection

Academic credits completed by the last application date (in the range of 30-285 credits equivalent to ECTS)

Application code

UMU-M5064

Application

Online applications are now open. You will be transferred to Universityadmissions.se. Application deadline is 15 January 2024. How to apply

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 71,400

Total fee

SEK 285,600

Contact us

Please be aware that the University is a public authority and that what you write here can be included in an official document. Therefore, be careful if you are writing about sensitive or personal matters in this contact form. If you have such an enquiry, please call us instead. All data will be treated in accordance with the General Data Protection Regulation.

Programme is given by
Faculty of Science and Technology
Contactpersons for the programme are:
Victor Falgas-Ravry, Programme Coordinator