糖果派对

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Mathematics

Master

The Master's Degree Programme in Mathematics takes two years to complete, and each academic year is divided into two semesters.

The diagramme below gives you an overview of the course of study.

On smaller screens it works best in landscape mode.

Areas of specialization

The structure of the programme allows you to opt for a general profile or specialise in one of the following research areas. The specialisations should be considered as suggestions to give you a better overview of the constituent and elective courses that we offer, but you will not be required to stick to courses from just one specialisation.

  • Analysis and geometry are two of the cornerstones of modern mathematics, with important applications in, for example, theoretical physics. Continuity is one of the most central concepts of analysis, whereas the cornerstone of geometry is the concept of differentiability.

    Recommended autumn courses

    We recommend that you choose  (5 ECTS),  (10 ECTS) and  (5 ECTS).

    Additionally, we recommend that you choose at least 10 ECTS from among the following courses:

    • (10 ECTS)
    • (10 ECTS)
    • (5 ECTS)
    • (10 ECTS)
    • (5 ECTS) 

    Please note that at least 20 ECTS of your thesis preparation activities must be courses/projects graded according to the Danish 7-point grading scale.

    Recommended spring courses

    • (5 ECTS)
    • (10 ECTS)
    • (15 ECTS)
    • (30 ECTS)
    • Electives within operator algebra (the specific offer of courses varies from semester to semester)  

    Examples of previous thesis project titles

    • Cohomology of nilpotent Lie groups
    • K-homology and spectral triples
    • Graph C*-algebras
    • Dimension theory for C*-algebras
    • Reverse Mathematics
    • Category-theoretic structuralism and mathematical practice

  • Discrete Mathematics is a large research area within mathematics at 糖果派对. The courses focus especially on graph theory, algorithms and optimisation.

    Recommended autumn courses

    We recommend that you choose (10 ECTS) and (10 ECTS).

    Additionally, we recommend that you choose from among the following courses:

    • (5 ECTS) 
    •  (10 ECTS)
    •  (10 ECTS)
    •  (10 ECTS)
    • (5 ECTS) 

    Please note that at least 20 ECTS of your thesis preparation activities must be courses/projects that are graded according to the Danish 7-point grading scale.

    Recommended spring courses

    • (10 ECTS)
    • (10 ECTS)
    • (5 ECTS)
    • (5 ECTS)
    • (10 ECTS)
    • (10 ECTS)
    • (15 ECTS)
    • (30 ECTS) 

    Examples of previous thesis project titles

    • Connectivity in graphs with relation to the European electrical grid
    • A Vehicle Routing Problem - Salt Spreading with Multiple Constraints
    • Ferry Route Optimisation
    • FPT problems for digraphs
    • Online graph colouring
    • Analysing the quality of online bin packing algorithms
    • European Football Placement Problems - Complexities and Exact Solutions
    • Complexity theoretic results on coin flipping
    • Hamilton cycles in directed graphs

  • Numerical Analysis is a branch of mathematics that deals with efficient numerical solutions to mathematically formulated models. This could be, for example, optimising a financial portfolio, calculating the flow of air around a car or weather forecasts.

    Recommended autumn courses:

    We recommend that you choose  (5 ECTS) and (10 ECTS). 

    Additionally, we recommend that you choose from among the following courses:

    • (10 ECTS)
    • (10 ECTS)
    • (10 ECTS)
    • (10 ECTS) 

    Please note that at least 20 ECTS of your thesis preparation activities must be courses/projects that are graded according to the Danish 7-point grading scale.

    Recommended spring courses: 

    • (5 ECTS)
    • (10 ECTS)
    • (5 ECTS)
    • (5 ECTS)
    • (10 ECTS)
    • (10 ECTS)
    • (5 ECTS)
    • (5 ECTS)
    • (5 ECTS)
    • (5 ECTS)
    • (5 ECTS)
    • (10 ECTS)
    • (15 ECTS)
    • (30 ECTS) 

    Examples of previous thesis project titles

    • Simulation of contaminant transport in Svendborgsund
    • Parameter estimation for the Heston model and comparison to a neural network model
    • Numerical analysis of the primal and dual problems in American option pricing

  • The recommended courses within this specialisation profile focus in particular on extreme value theory, Bayesian inference, survival analysis and multivariate analysis.

    Recommended autumn courses

    We recommend that you choose  (10 ECTS) and (5 ECTS) as constituent courses.

    Additionally, we recommend that you choose from among of the following courses:

    • (10 ECTS)
    • (10 ECTS)
    • (5 ECTS)
    • (5 ECTS) 

    Please note that at least 20 ECTS of your thesis preparation activities must be graded according to the Danish 7-point grading scale.

    Recommended spring courses 

    • (5 ECTS)
    • (5 ECTS)
    • (10 ECTS)
    • (10 ECTS)
    • (10 ECTS)
    • (15 ECTS)
    • (30 ECTS)  

    Master's thesis

    Examples of previous thesis titles within Statistics:

    • Nonparametric Bland-Altman Limits of Agreement and related sample size considerations
    • Bias-corrected estimation of the stable tail dependence function
    • Estimation of tail dependence with application to twin data

  • The cornerstone here is the scientific discipline of mathematics didactics. At 糖果派对 we focus in particular on the role of mathematics in interdisciplinary teaching.

    Recommended autumn courses

    • (10 ECTS)

    Please note that at least 20 ECTS of your thesis preparation activities must be courses/projects that are graded according to the Danish 7-point grading scale.

    Recommended spring courses

    • (5 ECTS)
    • (10 ECTS) 

    Examples of previous thesis project titles

    • Mathematical modelling as a professional and didactic tool for increased interaction between Mathematics and other subjects
    • The contribution of Mathematics to general teaching in upper secondary education
    • Justification for the Mathematics subject and its content in upper secondary education
    • Didactic possibilities and obstacles for subject interaction between Mathematics and humanities subjects in upper secondary education

Example of schedule

Below is an example of how your weekly schedule might look like in the first semester of the Master’s programme in Mathematics. Please note that your schedule may vary from week to week and that teaching activities may be scheduled on weekdays in the hours between 8 and 18.

Monday
Tuesday
Wednesday
Thursday
Friday

8-10
Probability theory (common class)
8-10
Functional analysis (common class)
8-10
Functional analysis (group class)


10-noon
Probability theory (common class)
10-noon
Probability theory (group class)
10-noon
Graph theory (common class)

Noon-14
Functional analysis (common class)
Noon-14
Graph theory (common class)

14-16
Graph theory (common class)

14-16
Probability theory (common class)

 
16-18
History of Mathematics (common class)


The programme regulations are the legal foundation of the programme. They describe the rules applying to the programme, including the admission requirements, the programme structure, the qualifications you will achieve, and a summary of the general rules applying to all students.

As a student, you are responsible for keeping up to date with the programme regulations, which may be revised once every year – any changes typically come into effect on 1 September.

A course description is a detailed description of a course, in which you can read about the aim and contents of the course, teaching methods, the expected workload and the form of the exam.

The Master's degree programme in Mathematics includes the opportunity to complete a company project during the 2nd semester.

A company project is a well-defined project, which is done part-time or full-time in a company or organisation, and which has a scope of 10, 15 or 30 ECTS. A company project places demands on learning on a par with other courses at the university. There is both an 糖果派对 supervisor and a company supervisor associated with the project.

The company project must take a specific problem as its starting point and the study board must approve the project description before you can start working on the project.

Company projects are always unpaid.

As part of the Master's degree programme in Matemathics, you have the opportunity study abroad at a university outside Denmark.

You can choose either a university that 糖果派对 collaborates with, or you can choose to arrange your stay at another university. 糖果派对 collaborates with more than 200 partner universities, and we can help you find the perfect place for you.

If you start the programme in September, spending your 2nd semester abroad grants you the most flexibility – if you start in February, you get the most flexibility if you spend the 1st semester abroad. Additionally, on the second year of the programme, you have the opportunity to do your Master's thesis project or parts of it abroad.

On the 2nd year of the programme, you will work on your Master's Thesis project, which has a scope of 60 ECTS.

You will typically be affiliated with your supervisor's research group at the Department of Mathematics and Computer Science, who will be able to counsel and guide you in your literature search and your collection and processing of research data.

We are ready to help you

Do you have any questions?

Do you need to know how to apply for a Master's degree programme? Are you in doubt about which programme to choose? Whatever questions you have, we are ready to give you answers and personal guidance.

Write the student counsellors at the Faculty of Science