Mathematics (M.Sc.)

This includes:

• Analytic Number Theory
• Analysis of Partial Differential Equations
• Differential Geometry
• Algebraic Topology
• Mathematical Methods in Physics

Scope: minimum of 12 C, together with modules from the field of Algebra, Geometry, Number Theory.

This includes:

• Algebraic Geometry
• Algebraic Number Theory
• Algebraic Structures
• Groups, Geometry and Dynamic Systems
• Noncommutative Geometry

Scope: minimum of 12 C, together with modules from the field of Analysis, Geometry, Topology.

This includes:

• Inverse Problems
• Approximation Methods
• Numerics of Partial Differential Equations
• Optimisation
• Variational Analysis
• Image and Geometry Processing
• Scientific Computing / Applied Mathematics

Scope: minimum of 12 C, together with modules from the field of Mathematical Stochastics.

This includes:

• Applied and Mathematical Stochastics
• Stochastic Processes
• Stochastic Methods of Business Mathematics
• Mathematical Statistics
• Statistical Modelling and Inference
• Multivariate Statistics
• Statistical Principles of Data Science

Scope: minimum of 12 C, together with modules from the field of Numerical and Applied Mathematics.

Freely selectable from the 4 mathematical fields of study listed above

Scope: maximum of 36 C

You are required to select one of the following minor subjects:

Astrophysics, Business Studies, Chemistry, Computer Science, Philosophy, Physics, Economics.

Scope: 18 C

These include foreign language skills and methodological, personal and social competencies.

One key competency module from Mathematics must be selected.

Scope: 12 C

You will be writing an extensive mathematical thesis under the supervision of a professor of Mathematics.

Scope: 30 C

You will be completing the module on “Operations Research” (9 C).

A further 9 C must be completed from the following areas:

• Inverse Problems
• Approximation Methods
• Numerics of Partial Differential Equations
• Optimisation
• Variational Analysis
• Image and Geometry Processing
• Scientific Computing / Applied Mathematics

Scope: at least 18 C

You will be completing the module on “Mathematical Statistics” (9 C).

A further 9 C must be completed from the following areas:

• Applied and Mathematical Stochastics
• Stochastic Processes
• Stochastic Methods of Business Mathematics
• Mathematical Statistics
• Statistical Modelling and Inference
• Multivariate Statistics
• Statistical Principles of Data Science

Scope: at least 18 C

You can choose between a practical mathematics course in “Scientific Computing” or in “Stochastics”.

Scope: at least 10 C

You will be completing one module on Computer Science.

Scope: at least 5 C

You will take part in a seminar on the focus area of your Master’s thesis (3 C).

A further 6 C must be selected from Mathematics or Economics.

Scope: at least 9 C

From the available modules of a minor subjects, you select “Business Science”, “Macroeconomics” or “Commercial Law”.

Scope: at least 14 C

You will be completing a company internship with reference to your mathematical studies.

Scope: 10 C

These include foreign language skills and methodological, personal and social competencies.

We recommend that you complete "Business English".

Scope: 6 C

You will be writing an extensive mathematical thesis under the supervision of a professor of Mathematics. This can only be written in areas of Numerical and Applied Mathematics or Mathematical Stochastics.

Scope: 30 C

This includes:

• Mathematical Methods in Physics
• Analysis of Partial Differential Equations
• Differential Geometry
• Algebraic Topology
• Noncommutative Geometry
• Groups, Geometry and Dynamic Systems

Scope: at least 12 C

Up to 12 C may be selected from the minor subject Physics and be counted toward the subject area of Mathematics.

Scope: maximum of 12 C

Freely selectable from the 4 mathematical fields of study

Scope: at least 36 C, together with Credits from Physics.

You will be completing modules from the minor subjects “Physics” or “Astrophysics”.

Scope: 18 C

These include foreign language skills and methodological, personal and social competencies.

One key competency course must be selected from Mathematics or Physics.

Scope: 12 C

One seminar (3 C) and additional 9 C from the areas:

• Optimisation
• Variational Analysis
• Image and Geometry Processing
• Scientific Computing / Applied Mathematics

Scope: at least 12 C

One seminar (3 C) and additional 9 C from the areas:

• Applied and Mathematical Stochastics
• Statistical Modelling and Inference
• Multivariate Statistics
• Statistical Principles of Data Science

Scope: at least 12 C

You can choose between an internship in “Scientific Computing” or a “Stochastic Internship”.

Scope: 10 C

You will complete a Computer Science module (5 C) related to Data Science and can choose to complete up to 12 C of additional Computer Science modules.

Scope: 5-17 C

At least another 9 C must be selected from Mathematics.

Scope: at least 26 C, together with the credits from Computer Science

You will be completing several modules from the minor subject “Computer Science”.

Scope: 18 C

These include foreign language skills, and methodological, personal and social competencies.

One key competency course must be selected from Mathematics or Computer Science.

Scope: 12 C

You will be writing an extensive mathematical thesis under the supervision of a professor of Mathematics. This can only be written in areas of Numerical and Applied Mathematics or Mathematical Stochastics.

Scope: 30 C