Programme Structure - MSc in Mathematics – University of Copenhagen

Mathematics > Programme Structure

Programme Structure

You can choose from a wide variety of restricted elective and elective courses to design a programme of your interests. Mathematics has many disciplines: Algebra, analysis, geometry, topology, etc. It also includes application-oriented disciplines such as mathematical physics, probability theory and optimisation, as well as cultural disciplines like the history of mathematics and the didactics of mathematics.

Although these disciplines are studied independently, it is remarkable how closely related they are when you take a closer look. Mathematics as a whole can be approached in many ways.

Do a Project in Practice or study abroad

You may choose to use some of your elective courses to do a project in practice or to study abroad for one or two semesters or for a shorter period of time.

Master's thesis

Your studies will conclude with a thesis project in which you work in more detail within one of the themes that you focused on in your course of study. Often the thesis will be written in association with one of the Department's research teams, where you have access to both a supervisor and the entire team's knowledge and involvement. In other cases, you might instead be investigating something entirely new. In recent years, solutions have been found to profound problems that have existed for hundreds of years or more (Poincaré's conjecture and Fermat's last theorem), and the enthusiasm that accompanies these new breakthroughs has led to many thesis topics.

Examples of thesis topics:

  • Algebra and the theory of numbers
  • Geometric analysis and mathematical physics
  • Noncommutative geometry
  • Topology
  • Didactics of mathematics

Specialisation in Didactics of Mathematics

If you are interested in the way Mathematics is shared and learned in various institutions, you can also study Didactics of Mathematics at the University of Copenhagen.

The MSc programme in Mathematics is structured as follows:

Block 1 Block 2 Block 3 Block 4
Year 1 Advanced Vector Spaces
Year 2 Thesis

     Compulsory course
     Restricted elective course
     Elective course


Restricted elective courses

Choose your restricted elective courses from the lists below. Click on each course for a detailed description.

You are obliged to choose courses worth at least 22,5 ECTS from this list:

Choose your remaining courses from this list: