The master’s degree in mathematics is research-oriented. Building on a first professional qualification, in-depth scientific specialist knowledge should be imparted and the ability should be acquired to independently develop scientific principles and apply scientific methods and findings.
To be admitted to the master’s degree, applicants must demonstrate the following requirements:
Applicants whose mother tongue is not German and who have completed their degree at a foreign university or equivalent institution must have sufficient knowledge of German (DSH2) or English (B2 GER; IELTS 5.0; TOEFL: Paper 500 or Computer 170 or Internet 80) , which are necessary for an understanding of the courses and the specialist literature.
The structure and process of the course are regulated by the course regulations. It contains detailed descriptions of the content and qualification goals of each individual module and an exemplary course plan. The examination regulations define the type and requirements of the examination performances of the modules and the master’s examination. In the regulations, the credit points (CP) for each module or event as well as the workload in hours for the entire course are specified.
The master's thesis should show that the students are able to independently work on and present a research task using scientific methods. After successfully completing the study program, the university degree Master of Science (M.Sc.) is awarded.
Modules of the course
(One of the following study areas is to be selected as a specialty, from which two basic modules and at least one advanced and research module are to be completed. In total, basic modules amounting to 50 CP and further modules totaling 30 CP from the study areas and the to choose additional courses.)
|1. Differential Geometry, Global Analysis and Mathematical Physics|
|Basic modules||Differential Geometry I and Differential Geometry II|
|Extension module||Differential Geometry III|
|Research module||Differential geometry|
|2. Algebraic and arithmetic geometry, number theory|
|Basic modules||Algebra I and Algebra II|
|Extension module||Algebra III|
|3. Discrete Mathematics and Combinatorial Optimization|
|Basic modules||Discrete Mathematics I and Discrete Mathematics II and Discrete Geometry I and Discrete Geometry II|
|Advanced modules||Discrete Mathematics III and Discrete Geometry III|
|Research modules||Discrete Mathematics and Discrete Geometry|
|4. Geometry, topology and visualization|
|Basic modules||Topology I and Topology II and visualization|
|Advanced modules||Topology III|
|5. Numerical Mathematics and Scientific Computing|
|Basic modules||Numerics II and Numerics III|
|Extension module||Numerics IV|
|Research module||numerical Mathematics|
|6. Applied analysis and differential equations|
|Basic modules||Differential equations I and differential equations II|
|Extension module||Differential equations III|
|Research module||Applied analysis and differential equations|
|Supplementary courses (supplementary modules)|
|Supplementary module||Selected topics|
|Supplementary module||Selected research topics|
|Supplementary module||Special aspects|
|Supplementary module||Special research aspects|
|Supplementary module||Research seminar|
|Supplementary module||Research project|
|Supplementary module||Stochastics II|
Graduates have in-depth scientific knowledge and advanced professional skills.
The master’s course prepares students for activities as mathematicians in business, industry and research. Typical areas of application for mathematicians in business are banks, insurance companies, consulting firms, industrial design, modeling and optimization of technical processes.
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