Each specialisation profile consists of a number of elective courses and projects, which we recommend you choose from if you wish to specialise in the relevant research area.
To the extent possible, we aim to ensure that courses within the same specialisation profile do not overlap in times of classes if you follow the recommended course of study within the standard time limits.
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 MM819: An introduction to Operator Algebras (5 ECTS), MM835: Probability theory (10 ECTS) and MM854: Graduate seminar (5 ECTS).
Additionally, we recommend that you choose at least 10 ECTS from among the following courses:
- MM802: Stochastic Differential Equations I (10 ECTS)
- MM834: Partial differential equations: theory, modelling and simulation (10 ECTS)
- MM855: Introduction to Graph Theory (5 ECTS)
- MM856: Graph theory (10 ECTS)
- ST817: Mathematical Statistics II (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
- MM853: Advanced Linear Algebra (5 ECTS)
- VPIMA801: Company project (10 ECTS)
- VPIMA802: Company project (15 ECTS)
- VPIMA803: Company project (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 SDU. The courses focus especially on graph theory, algorithms and optimisation.
Recommended autumn courses
We recommend that you choose MM835: Probability theory (10 ECTS) and MM856: Graph theory (10 ECTS).
Additionally, we recommend that you choose from among the following courses:
- MM819: An introduction to Operator Algebras (5 ECTS)
- DM817: Network Programming: Theory and Applications (10 ECTS)
- DM840: Algorithms in Cheminformatics (10 ECTS)
- DM867: Combinatorial Optimization (10 ECTS)
- DM877: Constraint programming (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
- DM507: Algorithms and Data Structures(10 ECTS)
- DM860: Online Algorithms (10 ECTS)
- DM871: Linear and Integer Programming (5 ECTS)
- DM872: Mathematical Optimization at Work (5 ECTS)
- MM850: Complexity and Computability (10 ECTS)
- VPIMA801: Company project (10 ECTS)
- VPIMA802: Company project (15 ECTS)
- VPIMA803: Company project (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 MM831: Differential Equations II (5 ECTS) and MM834: Partial differential equations: theory, modelling and simulation (10 ECTS).
Additionally, we recommend that you choose from among the following courses:
- DM847: Introduction to Bioinformatics (10 ECTS)
- MM802: Stochastic Differential Equations I (10 ECTS)
- MM835: Probability theory (10 ECTS)
- MM837: Computational Physics (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
- DM545: Linear and integer programming (5 ECTS)
- DM860: Online Algorithms (10 ECTS)
- DM872: Mathematical Optimization at Work (5 ECTS)
- MM836: Convex analysis (5 ECTS)
- MM839: Numerical analysis of hyperbolic conservation laws (10 ECTS)
- MM846: Riemannian geometry, matrix manifolds and applications (10 ECTS)
- MM847: Riemannian geometry (5 ECTS)
- MM848: Matrix manifolds and applications (5 ECTS)
- MM852: Computational option pricing, part 1 (5 ECTS)
- MM862: Selected topics in numerical analysis II (5 ECTS)
- MM863: Selected topics in numerical analysis I (5 ECTS)
- VPIMA801: Company project (10 ECTS)
- VPIMA802: Company project (15 ECTS)
- VPIMA803: Company project (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 MM835: Probability theory (10 ECTS) and ST817: Mathematical Statistics II (5 ECTS) as constituent courses.
Additionally, we recommend that you choose from among of the following courses:
- DM873: Deep Learning (10 ECTS)
- MM802: Stochastic Differential Equations I (10 ECTS)
- MM819: An introduction to Operator Algebras (5 ECTS)
- ST808: Multivariate Data Analysis and Chemometrics (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
- MM853: Advanced Linear Algebra (5 ECTS)
- ST811: Multivariate Statistical Analysis (5 ECTS)
- ST813: Statistical Modelling (10 ECTS)
- ST816: Computational Statistics (10 ECTS)
- VPIMA801: Company project (10 ECTS)
- VPIMA802: Company project (15 ECTS)
- VPIMA803: Company project (30 ECTS)/li>
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