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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 2025

Mathematics is key to a successful career! Whether you want to work with programming, AI, finance, data analytics, bioinformatics, tech design, computer security, make a career in the natural or social sciences, development or business, a master’s degree in mathematics will let you develop strong analytical skills that will command respect among future employers and colleagues. Mathematicians are sought-after in a wide range of professions and can look forward to an excellent salary progression.

While studying

The Master's programme in Mathematics at Umeå University makes it possible for you to realize the future you desire!

We pride ourselves on taking good care of our students and offering a friendly, informal and non-hierarchical academic culture. Our master's programme kicks off with a course in which you will learn how to achieve your goals with advanced studies and research in mathematics. You will get an active researcher of your choice as a mentor in our mentoring programme, and there is a wide variety of thesis projects to choose from selected by our young and highly successful researchers.

Read more about the Department and Umeå University

Areas and topics for the master thesis

Educate yourself and write a master's thesis for an active researcher in one of the following areas:

• Pure mathematics
• Computational Mathematics
• Mathematics and AI
Mathematical Biology
Financial Mathematics

A wide range of courses

Before writing your thesis, you will build up your mathematical and computational skills by taking courses from our catalogue of advanced courses in mathematics.

You may also, with great advantage, combine your mathematics courses with courses in computer science, natural or social sciences, economy, or other areas of interest.

Live in a young and fast-growing city

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. There is also an opera house and museums, and Umeå was the European capital of culture in 2014.

The city is small and extremely safe. It is easy to gain a comfortable and sustainable living style. There is an extensive network of bicycle paths – making it possible to get around by bike all year round. The wild nature is very close! The Ume River floats through the city, the northern lights hunting is popular at the Nydala Lake, and skiing is magic through the Gammlia Forest. Outside the city limits, there are vast areas of wild forests, rivers and lakes, and by the Baltic Sea there are sandy beaches for summer recreation.

Student housing

The University offers student housing to exchange students, tuition fee-paying students and full-degree students who are citizens of countries outside the European Union (EU), European Economic Area (EEA) or Switzerland.

Students not falling under these categories have to arrange their own housing. If you start in due time, you will not find it very difficult to find to arrange housing in Umeå. Please check the advice and services provided by our housing service.

Read more about accommodation

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

In modern society, mathematical methods and analytical skills play a very important role. An education in mathematics is the starting point to a career in all fields where mathematical methods are used. Therefore, you will find mathematicians in key positions in the industry of cars, robotics, pharmacy, telecom, IT and software development. Finance, banking and insurance companies are also keen on employing mathematicians, as are research institutes and governmental organizations working with everything from societal development to questions of national security.

Former graduates from our Department of Mathematics today work at a large range of companies, such as Alfa Laval, Capgemini, Deloitte, Ericsson, Goldman Sachs, H&M, IKEA, Microsoft, Nasdaq, Scania, Swedbank, Trygg-Hansa, Vattenfall, and Volvo.

Read more about career opportunities for mathematicians

Pursue a research career

If you are interested in a career in research, you may later apply for our PhD program in mathematics.

Application and eligibility

Master's Programme in Mathematics, 120 credits

Visa tillfällen för föregående termin Autumn Term 2025 Det finns inga senare terminer för kursen

Second admission round for EU/EEA citizens

Programme starts

Autumn Term 2025

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 17 March 2025 at 09:00 CET. Application deadline is 15 April 2025. 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 76,150

Total fee

SEK 304,600

International admission round

Programme starts

Autumn Term 2025

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 2025. 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 76,150

Total fee

SEK 304,600

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