Master's Programme in Mathematics 120 credits
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.
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.
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
- 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.
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.
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.
Programme director
