Programme structure

On this page you find more detailed information about the structure and content of the programme.

Outline

The Bachelor’s Programme in Mathematics has a clear yet flexible structure that gives you considerable freedom to shape your studies according to your interests. The programme consists of:

compulsory courses (75 credits)
alternative compulsory courses (30 credits)
elective courses (up to 60 credits, of which at least 30 credits must be taken outside mathematics)
a degree project (15 credits). The degree project may be carried out in mathematics, numerical analysis, or mathematical statistics.

The compulsory courses are taken during the first year and provide a solid mathematical foundation. These courses are listed separately under Year 1.

The alternative compulsory courses give you substantial freedom to choose your direction. From semester 3 onwards, you can select from a wide range of courses in mathematics, numerical analysis, and mathematical statistics. Through these choices, you build your academic profile and ensure that you meet the prerequisites for the specialisation you wish to pursue. Since many courses are offered only once per year, it is important to plan your choices in relation to the course schedule.

Elective courses allow you to broaden or deepen your studies. At least 30 credits must be taken in a subject outside mathematics. Many students choose physics, computer science, or economics, but you may select courses from across the entire university. Elective courses are also an opportunity to complement your profile and strengthen your eligibility for the degree project.

The degree project (15 credits) is completed at the end of the programme and may be carried out within mathematics, numerical analysis, or mathematical statistics. The project may be theoretical or applied and is chosen in consultation with a supervisor. To be eligible, you must have taken courses that build the specialisation you intend to finish with.

Summary of specialisation requirements

Mathematics: at least 90 credits of MAT courses, including the compulsory courses from Year 1.
Numerical Analysis: at least 90 credits in mathematics in total, of which 22.5 credits must be in numerical analysis.
Mathematical Statistics: the compulsory courses, MASC01, an additional 15 credits in statistics, and at least one of the courses Linear Analysis or Discrete Mathematics (see the Year 2 course list).

Your course choices in Years 2 and 3 determine which specialisation you qualify for - which is why it is important to make deliberate and well considered choices based on the direction you want to pursue.

Course overview

Year 1

All courses in the first year are compulsory for your degree. These courses are typically used as prerequisites for courses later in the programme.

Name	Type	Semester	Credits
Mathematics: Analysis in One Variable	Compulsory	1	15
Mathematics: Algebra and Vector Geometry	Compulsory	1	7.5
Numerical Analysis: Computational Programming with Python	Compulsory	1	7.5
Mathematics: Analysis in Several Variables 1	Compulsory	2	7.5
Mathematics: Analysis in Several Variables 2	Compulsory	2	7.5
Mathematics: Linear Algebra	Compulsory	2	7.5
Mathematics: Introduction to Higher Analysis	Compulsory	2	7.5

Year 2

MASA03 Mathematical Statistics: Basic Course (15 credits) is the final compulsory course and must be taken in semester 3 if you wish to follow the mathematical statistics specialisation. This course may be taken in semester 5 if you choose one of the other specialisations. The remaining courses listed for Year 2 are alternative-compulsory courses and some of them may also be taken during Year 3. They can be combined with elective courses within the mathematical disciplines or in other subjects, depending on how you wish to shape your academic profile. We strongly recommend that you include at least one course in mathematical statistics and at least one course in numerical analysis, and that you consider taking more courses within the mathematical subjects than the minimum requirements, in order to build a solid foundation for your chosen specialisation and degree project. In addition to the courses listed below, there are several other relevant courses that may be taken during the second year, such as Numerical Linear Algebra, Calculus of Variations, Complex Analysis II, Topology, and others.

Name	Type	Semester	Credits
Mathematical Statistics: Basic Course	Compulsory	3	15
Mathematics: Linear Analysis	—	3	7.5
Mathematics: Discrete Mathematics	—	3	7.5
Mathematics: Complex Analysis 1	—	3	7.5
Mathematics: Ordinary Differential Equations 1	—	3	7.5
Numerical Analysis: Basic Course	—	3	7.5
Mathematics: Algebraic Structures	—	4	7.5
Mathematical Statistics: Probability Theory	—	4	7.5
Mathematical Statistics: Statistical Inference Theory	—	4	7.5
Mathematical Statistics: Design of Experiments	—	4	7.5

Year 3

The courses you choose in the third year must ensure that you both meet the eligibility requirements for your chosen degree project specialisation and fulfil the course requirements for the degree. Semester 5 is well suited for in-depth studies within your selected specialisation. In addition to the courses listed below, you may choose from the courses offered in semester 3 that you have not yet taken. Other relevant elective courses within the mathematical subjects include, for example, Optimization, Matrix Theory, Differential Geometry, Integration Theory, Galois Theory, Group and Ring Theory, Image Analysis, Modelling in Computational Science, and Numerical Methods for Differential Equations. During semester 6, you complete your degree project within your chosen specialisation, in combination with other relevant elective courses. Additional recommended courses in other subjects can be found on the programme pages of the department.

Name	Type	Semester	Credits
Mathematics: Number Theory	—	5	7.5
Mathematical Statistics: Markov Processes	—	5	7.5
Mathematical Statistics: Stationary Stochastic Processes	—	5	7.5
Numerical Analysis: Numerical Linear Algebra	—	5	7.5
Mathematics: Bachelor's Degree Project	Compulsory	6	15
Mathematical Statistics: Bachelor's Degree Project	Compulsory	6	15
Numerical Analysis: B.A. Degree Project	Compulsory	6	15

Programme syllabus

The syllabus contains the formal and legal details of the entire programme. It’s a legal document outlining the course structure and requirements, intended mainly for administrative use.

Syllabus (PDF, new tab)