1. Differential geometry, global analysis, and topology
- Analysis and geometry on manifolds - Differentialgeometrie II: John Sullivan, TU
- Differential geometry - Differentialgeometrie I: Konrad Polthier, FU

2. Algebra and number theory, algebraic and arithmetic geometry
- Commutative algebra - Algebra II: Jürg Kramer, HU

3. Probability theory and financial mathematics
- Stochastic processes I - Stochastik II: Dirk Becherer, HU

4. Discrete mathematics and discrete geometry
- Geometry - Geometrie I: Yuri B. Suris, TU Berlin

5. Linear, nonlinear, and combinatorial optimization
- Linear and integer programming - ADM II: Rolf Möhring, Sebastian Stiller

6. Numerical analysis, scientific computing, and visualization
- Numerical methods for ODEs and numerical linear algebra - Numerik II: Ralf Kornhuber, FU

7. Applied analysis, mathematical physics, and dynamical systems
- Partial differential equations - Diffgleichungen II: Felix Schulze, FU  

* Additional courses:
- Functional analysis: Alexander Mielke, HU
- Topology: John Sullivan, TU