Program
- Modules
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The Modules of the Master's program are:
- Foundation Lecture Courses
- Graduate Lecture Courses
- Graduate Seminars
- Practical Training Courses (optional)
- Modules of a Secondary Subject (optional)
- The Master's Thesis
- The Master's Thesis Seminar
The lists of modules offered in the various areas can be looked up in the module handbook, which can be found under Documents.
- Credit points
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Every module has a certain number of credit points (CP) allotted:
- Foundations and V4 lecture course modules count for 9 CP,
- V5 'Advanced Topics' lecture courses count for 7 CP,
- V5 'Selected Topics' lecture courses count for 5 CP,
- Graduate seminars count for 6 CP,
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Practical training courses count for 9 CP.
To complete the program you are required to earn 120 CP.
The precise conditions for the acquisition of credit points are detailed in the examination regulations which can be found under Documents.
Detailed information on how different modules are held and examined may be found under examinations.
- Areas
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The lecture courses and graduate seminars are categorised in six areas:
- A Algebra, Number Theory, and Logic
- B Analysis and Differential Equations
- C Discrete Mathematics
- D Geometry and Topology
- E Numerical Mathematics and Scientific Computing
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F Probability and Stochastic Analysis
- Lecture Courses
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Each area offers at least one (and sometimes several) introductory graduate lecture courses per year, which are then often continued by a series of more advanced lectures.
Foundation courses are lectures from our Bachelor's program, therefore only some of them are offered in English. They can serve to provide you with basic knowledge in the areas.
According to the examination regulations you are required to cover at least three different areas with at least 23, 16, and 9 CP from foundation or graduate lecture courses. In total, you have to earn at least 48 CP from foundation or graduate modules.
- Graduate Seminars
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Every semester various graduate seminars from all areas are offered.
Two graduate seminars counting for 12 CP are required for your degree. You can choose the areas of both seminars without any precondition, you are not bound to your major area.
However, it is advisable to complete at least one graduate seminar in the area in which you wish to find an advisor for your Master's thesis.
- Further Modules
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You may obtain the remaining 24 credit points in further lecture courses, graduate seminars, practical training courses, or in a secondary subject.
Various practical training courses are offered as optional modules in the program:
- Practical Teaching Course
- External Internship
- Practical Project in Mathematical Logic
- Combinatorial Algorithms
- Algorithms for Chip Design
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Practical Lab Numerical Simulation
Alsot the choice of a secondary subject of study (e.g. Physics, Computer Science or Economics) is optional. You can earn up to 24 CP from a secondary subject.
- Study plans
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Your individual study plan depends on the choice of your major, possibly on a secondary subject or a practical training course, and - of course - your own talent and motivation. The following table shows a typical general study plan. Part of the work required for preparing a seminar may be done during the free period between semesters, whence the corresponding credit points have been allotted to the previous semester in the table.
The numbered rows denote the consecutive semesters.
The colours have the following meanings:
red = lecture course modules from one of the areas A to F, at least 23 CP in total
orange = lecture course modules from another area A to F, at least 16 CP in total
yellow = lecture course modules from a third area A to F, at least 9 CP in total
green = graduate seminar modules
grey = thesis modules (compulsory)
blue = elective modules, at most 24 CP in total
The numbers in brackets denote the number of credit points (CP). In every semester, approximately 30 CP should be earned.There are example study plans / recommendations for studying different areas as major:
