Master's Programme in Mathematics 120 credits

Mats G Larson
Professor vid Institutionen för matematik och matematisk statistik

Image: Mattias Pettersson

About the programme

Do you want deepen and broaden your knowledge of mathematics? The Master's programme in Mathematics gives you a solid theoretical basis with connection to current research. After graduation, you can, for example, work as an analyst or programme developer or continue with doctoral education and invest in an academic career.

Active researcher as mentor

Wide range of courses

Good career opportunities

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.

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.

Courses within the programme

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

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.

Show programme syllabus

Future and 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.

Pursue a research career

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

Apply

Autumn 2025
- Master's Programme in Mathematics
  
  International admissions round
  
  HT25 / Umeå / English / On site
  
  Show more Show less
  
  Start
  Autumn term 2025
  
  Number of credits
  120 credits
  
  Type of studies
  On site
  
  Study pace
  100%
  
  Length
  2 years
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-M5064
  
  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.
  
  Selection
  
  Academic credits completed by the last application date (in the range of 30-285 credits equivalent to ECTS)
  
  Degree
  
  After a completed programme of 120 credits, or 60 credits, the student can apply for and obtain a Degree of Master of Science (120 credits) or a Degree of Master of Science (60 credits) in accordance with local qualification descriptor established by the Vice-Chancellor, see https://www.umu.se/student/mina-studier/examen/krav-och-huvudomraden/examensbeskrivningar.
  In Swedish, Degree of Master of Science (60 credits) and Degree of Master of Science (120 credits) are called Filosofie magisterexamen and Filosofie masterexamen, respectively. The degree is awarded in the main field of study (Mathematics).
  
  Application
  Application deadline was 15 January 2025. The application period is closed.
  
  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
  
  Details about tuition, fees and funding
- Master's Programme in Mathematics
  
  Second admissions round for EU/EEA citizens
  
  HT25 / Umeå / English / On site
  
  Show more Show less
  
  Start
  Autumn term 2025
  
  Number of credits
  120 credits
  
  Type of studies
  On site
  
  Study pace
  100%
  
  Length
  2 years
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-P5064
  
  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.
  
  Selection
  
  Academic credits completed by the last application date (in the range of 30-285 credits equivalent to ECTS)
  
  Degree
  
  After a completed programme of 120 credits, or 60 credits, the student can apply for and obtain a Degree of Master of Science (120 credits) or a Degree of Master of Science (60 credits) in accordance with local qualification descriptor established by the Vice-Chancellor, see https://www.umu.se/student/mina-studier/examen/krav-och-huvudomraden/examensbeskrivningar.
  In Swedish, Degree of Master of Science (60 credits) and Degree of Master of Science (120 credits) are called Filosofie magisterexamen and Filosofie masterexamen, respectively. The degree is awarded in the main field of study (Mathematics).
  
  Application
  Application deadline was 15 April 2025. The application period is closed. Please note: This second application round is intended only for EU/EEA/Swiss citizens.
  
  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
  
  Details about tuition, fees and funding
Autumn 2026
- Master's Programme in Mathematics
  
  International admissions round
  
  HT26 / Umeå / English / On site
  
  Apply
  
  Show more Show less
  
  Start
  Autumn term 2026
  
  Number of credits
  120 credits
  
  Type of studies
  On site
  
  Study pace
  100%
  
  Length
  2 years
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-M5064
  
  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 6/level 2.
  
  Selection
  
  Academic credits completed by the last application date (in the range of 30-285 credits equivalent to ECTS)
  
  Degree
  
  After a completed programme of 120 credits, or 60 credits, the student can apply for and obtain a Degree of Master of Science (120 credits) or a Degree of Master of Science (60 credits) in accordance with local qualification descriptor established by the Vice-Chancellor, see https://www.umu.se/student/mina-studier/examen/krav-och-huvudomraden/examensbeskrivningar.
  In Swedish, Degree of Master of Science (60 credits) and Degree of Master of Science (120 credits) are called Filosofie magisterexamen and Filosofie masterexamen, respectively. The degree is awarded in the main field of study (Mathematics).
  
  Application
  Online applications are now open. Application deadline is 15 January 2026.
  
  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
  
  Details about tuition, fees and funding
- Master's Programme in Mathematics
  
  Second admissions round for EU/EEA citizens
  
  HT26 / Umeå / English / On site
  
  Application opens 16 March 2026
  
  Save education at universityadmissions.se
  
  Show more Show less
  
  Start
  Autumn term 2026
  
  Number of credits
  120 credits
  
  Type of studies
  On site
  
  Study pace
  100%
  
  Length
  2 years
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-P5064
  
  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 6/level 2.
  
  Selection
  
  Academic credits completed by the last application date (in the range of 30-285 credits equivalent to ECTS)
  
  Degree
  
  After a completed programme of 120 credits, or 60 credits, the student can apply for and obtain a Degree of Master of Science (120 credits) or a Degree of Master of Science (60 credits) in accordance with local qualification descriptor established by the Vice-Chancellor, see https://www.umu.se/student/mina-studier/examen/krav-och-huvudomraden/examensbeskrivningar.
  In Swedish, Degree of Master of Science (60 credits) and Degree of Master of Science (120 credits) are called Filosofie magisterexamen and Filosofie masterexamen, respectively. The degree is awarded in the main field of study (Mathematics).
  
  Application
  The online application opens 16 March 2026 at 09:00 CET. Application deadline is 15 April 2026. Please note: This second application round is intended only for EU/EEA/Swiss citizens.
  
  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
  
  Details about tuition, fees and funding

Apply online via universityadmissions.se
You apply to our programmes and courses via universityadmissions.se – the official website for higher education applications in Sweden. There, you can track your application, check that your documents have been registered, and log in to find our your admission results.
 
Late applications
Admissions to most programmes and courses typically close after the final application deadline. However, some programmes and courses may still accept late applications if seats are available. These are marked “Open for late application” on universityadmissions.se. Please note that late applications are not guaranteed to be reviewed.

More about application and admission

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