- Master´s programs
Institute of Mathematics
For admittance to the master’s program applicants need to fulfill the following admission requirements:
Bachelor’s degree in mathematics or an equivalent degree with a number of credit points in mathematics corresponding to that of the bachelor’s program in mathematics at Freie Universität Berlin.
With certain restrictions, it is possible to complete the master’s degree program by taking classes solely in English. The necessary English language skills must as a rule be proven by exam results.
Proof of sufficient German (DSH2) or English Skills (B2 GER; IELTS 5.0; TOEFL: Paper 500 or Computer 170 or Internet 80) for all applicants whose first language is not German and who have earned their initial degree from a university (or equivalent institution) where the language of instruction is not German, which are necessary to understand courses and specialist literature.
The master’s program in mathematics has a research orientation. Building on an initial degree, academic knowledge is deepened, and students acquire the ability to work on academic principles independently, learning to apply academic methods and findings. The master’s program offers students the possibility of deepening previously acquired knowledge in one of the following domains: analysis, discrete mathematics, algebraic/complex geometry, numerical mathematics, differential geometry, or topology.
Information on the program and course requirements can be found in the degree regulations ("Studienordnung") which contains detailed descriptions of the course contents and objectives and presents examples of courses of studies. The examination regulations ("Prüfungsordnung") specify the exam type and requirements for completing modules and the master's thesis. The number of credit points ("LP--Leistungspunkte") for each module is specified in both the degree and the examination regulations.
The Master's thesis should demonstrate that the Student is capable of independently utilizing scientific methods in researching and presenting a scientific problem/task.
Structure of the master's program
Areas of study
For successful completion of the master's degree, 120 credit points (LP) need to be completed.
The Master’s student should choose a special area of study in which two Basic Modules, one Intermediate module and one Research Module are completed. In total completion of 90 credit points (LP) of modules are required. This is comprised of 50 credit points (LP) in Basic Modules, 5 credit points Intermediate module, 5 credit points Research Module and 30 credit points in Supplemental Modules. The Master’s thesis is equal to 30 credit points.
|1. Differentialgeometry, Global Analysis and Mathematical Physics
|Basic Module||Differentialgeometry I und Differentialgeometry II|
|Intermediate Module||Differentialgeometry III|
|2. Algebraic and arithmetic Geometry, Number Theory
|Basic Module||Algebra I and Algebra II|
|Intermediate Module||Algebra III|
|3. Discrete Mathematics und Combinatorial Optimization
|Basic Module||Discrete Mathematics I and Discrete Mathematics II und Discrete Geometry I and Discrete Geometry II|
|Intermediate Module||Discrete Mathematics III and Discrete Geometry III|
|Research Module||Discrete Mathematics and Discrete Geometry|
|4. Geometry, Topology and Visualization
|Basic Module||Topology I and Topology II und Visualization|
|Intermediate Module||Topology III|
|5. Numerical Mathematics and Scientific Computing
|Basic Module||Numerics II und Numerics III|
|Intermediate Module||Numerics IV|
|Research Module||Numerical Mathematics|
|6. Applied Analysis and Differential Equations
|Basic Module||Differential Equations I and Differential Equations II|
|Intermediate Module||Differential Equations III|
|Research Module||Applied Analysis and Differential Equations|
|Supplemental Courses (Supplemental Modules)|
|Supplemental Module||Selected Topics|
|Supplemental Module||Selected Research Topics|
|Supplemental Module||Special Aspects|
|Supplemental Module||Special Research Aspects|
|Supplemental Module||Research Seminar|
|Supplemental Module||Research Project|
|Supplemental Module||Stochastics II|
Please check the”Studienordnung” and “Prüfungsordnung” for details.