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Master's Programme in Mathematics

The Master's programme in Mathematics is a joint initiative by the Departments of Mathematics at Stockholm University and the Royal Institute of Technology (KTH). It is a two-year programme at the advanced level and leads to a joint master's degree in mathematics from Stockholm University and KTH.

Mathematics, together with astronomy, is one of the oldest sciences, and is more important now than ever before. New methods are developed continuously, and old problems are solved. Mathematics is a critical element in the development of society: with mathematics it is possible to calculate planetary orbits, to describe the growth of the world population, and to predict the melting pattern of the Arctic glaciers. Mathematical education is applicable in all fields where advanced mathematical methods are used. Examples include numerical calculations in technology and natural sciences, estimation of probability, price setting in the financial sector and the development of algorithms used to ensure secure transfer of data.

Purpose and Content

The programme is meant to provide a strong background in the mathematical sciences. It prepares you for PhD studies (e.g. at KTH or SU) in mathematics or related subjects, and for research and development in the industry and business sectors.

Programme website

Since this programme is jointly organised by Stockholm University and KTH, it has its own website. You can read more about the programme on this website.

Master's Degree Programme in Mathematics

  • Programme overview

    This two year programme is organized into three different course blocks and one master's thesis. Blocks are read in parallel and each block corresponds to one semester of studies.

    The basic block gives a broad competence in mathematics at the advanced level, with courses in each of algebra and geometry, analysis, topology and discrete mathematics.

    In the profile block, you choose 30 credit's worth of courses in mathematics on the advanced level. These courses are chosen freely, and this is where you specialise and prepare for the master's thesis.

    The broadening block comprises mandatory courses in science theory, communication of mathematics and 15 credits of optional courses that can be chosen without condition on subject or level.

    Master courses in mathematics are generally given at a 25% pace, stretching over the whole semester, with one lecture per week.

    Year 1

    First semester

    Usually the first semester comprises the following courses.

    SF2743 Advanced Real Analysis I

    MM7041 Topology

    MM7042 Commutative algebra and algebraic geometry

    MM7020 Mathematical communication

    Second semester

    AK2040 Theory and Methodology of Science with Applications

    Otherwise, the second semester depends on your choice of courses. You must include a course in discrete mathematics, either Graph Theory, Number Theory of Enumerative Combinatorics, but when you take it depends on which one you choose.

    List of jointly organised programme courses

    Year 2

    Third semester

    Depends on you choice of courses, may include a course in discrete mathematics if you have not taken one already.

    List of jointly organised programme courses

    Fourth semester

    During the fourth semester you write your degree project.

    Independent project

    The final component of your studies is the degree thesis where you indepentently plan, execute and report your own research project, supervised by one of our researchers.

    Degree projects in mathematics

  • How to apply

    Application and eligibility

    Required supporting documentation

    On universityadmissions.se, you can find information about required documentation. We strongly recommend that you also attach the following documents in your application:

    • A letter of intent.
    • Information about the relevant higher education qualifications. Submit transcripts from your university-level studies (current or completed) including translations if not in English.
    • Specification on how you meet the specific eligibility requirements. Knowledge equivalent to to the following two courses is a specific requirement:
      Mathematics III - Abstract Algebra/Groups and rings, MM5020/SF1678
      Mathematics III - Foundation of mathematical analysis, MM5021/SF1677
      Or equivalent to the books "Principles of mathematical analysis" by W. Rudin and "Abstract Algebra", 3rd Edition by D.S. Dummit and R.M. Foote. Submit a short list of those courses in your bachelor’s degree that (possibly together) cover the contents of the courses listed above. Also include in a detailed description (such as a plan of study) of the contents of other relevant courses you have completed.
    • Provide the names and contact details of two people who can act as an academic reference in support of your application upon request. An academic reference could be from, for example
      • A personal tutor or former teacher in case you are currently studying (or have recently finished studying in the last 3 years).
      • Any academic referee from your previous studies if you have not recently studied (more than 3 years ago), ot if not possible, a person who can testify to your academic ability in a formal context.
    • A copy of your bachelor thesis with a brief summary if it is written in a language other than English or Swedish. If you are in the process of writing your thesis, you may include a draft.

    The Letter of Intent should be written in English and should address the following questions (we expect at most one A4 page).

    • Why are you interested in the program? What are your reasons for choosing it? Why do you want to undertake postgraduate study at this point in your academic or professional career?
    • How are you qualified for the program? If by the time of application you have not completed you Bachelor studies, please indicate an estimated finishing date of your studies.
    • How will the course benefit your future career plans? What do you hope to achieve with your degree? How would this program prepare you for the future you envision for yourself?

    See also How to apply.

  • More information

    You can find more information about the programme, including information about scholarships and studying in Sweden, and interviews with former students, on the programme website.

    Master's Degree Programme in Mathematics

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