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The Modules of the Master's program are:

  • Foundation Courses
  • Graduate Courses
  • Graduate Seminars
  • The Master's Thesis
  • The Master's Thesis Seminar

Please consider also the Module Handbook for the Master's program (see Documents).

Credit points

Foundation and graduate courses are typically held as lecture courses. Lecture courses and seminars normally last one semester. Every module has a certain number of credit points (CP) allotted.
To complete the program you are required to earn 120 CP. Detailed information on how different modules are held and examined may be found under examinations.


Most of the lectures and seminar modules 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
  • F Probability and Stochastic Analysis

Each area offers at least one (and often several) introductory graduate courses per year, which are then continued by a series of more advanced lectures and graduate seminars. Foundation courses are lectures from our Bachelor's program (therefore only some of them are offered in English) and can serve to provide you with basic knowledge in the areas.

According to the examination regulations (PO 2012) you are required to cover at least three different areas with at least 23, 16, and 9 CP from foundation or graduate courses (corresponding e.g. to a 4 hour lecture course with problem sessions). In total, you have to earn 48 CP from foundation or graduate modules.

You may obtain the remaining 24 credit points in further lecture courses, graduate seminars, practical training courses, or in a secondary subject. The choice of a secondary subject of study (e.g. Physics, Computer Science or Economics) is optional.

The precise conditions for the acquisition of credit points are detailed in the examination regulations. The lists of modules offered in the various areas can be looked up in the module handbook. Both the examination regulations and the module handbook can be found under Documents.

Practical training courses

Various practical training courses of 9 credit points are offered as optional modules in the program:

  • Practical Teaching Course
  • External Internship
  • Practical Project in Mathematical Logic
  • Combinatorial Algorithms
  • Algorithms for Chip Design
  • Practical Lab Numerical Simulation
Study plans

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.

(Area I)
(Area II)
(Area III)
1 Graduate Courses
(0-36 CP)
Foundation or Graduate Course
(9 CP)
Graduate Seminar
(6 CP)
  Foundation or Graduate Course
(0-9 CP)
Graduate Course
Foundation or Graduate Course
(9 CP)
PO 2007: Module cannot be replaced by Additional Foundations
Complementary courses or seminars

Practical training courses

Courses in a secondary subject

(0-24/27 CP)
2 Graduate Course
(9 CP)
Graduate Seminar
(6 CP)
3 Master's Thesis
(30 CP)
Master's Thesis Seminar
(6 CP)

The numbered rows denote the consecutive semesters.
There is no difference between the columns, but the colours have the following meanings:
red = compulsory lecture modules
orange = first lecture module from one of the areas A to F (important for optional course requirements)
yellow = other mathematical lecture modules
green = Seminar modules
grey = practical training and thesis modules
blue = subsidiary field modules

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:


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