1. Differential geometry, global analysis, and topology
    - Analysis and Geometry on manifolds: K. Ecker, FU

2. Algebra and number theory, algebraic and arithmetic geometry
    - Commutative Algebra: A. Schmitt, FU

3. Probability theory and financial mathematics
    - Stochastic processes I: Discrete time: J. Blath, TU

4. Discrete mathematics and discrete geometry
    - Geometry: A. Bobenko, TU

5. Linear, nonlinear, and combinatorial optimization
    - Linear and integer programming: R. Möhring, TU

6. Numerical analysis, scientific computing, and visualization
    - Numerical methods for ODEs and numerical linear algebra: R. Klein, FU

7. Applied analysis, mathematical physics, and dynamical systems
    - Dynamical Systems: E. Kirchberg, HU

  * Additional courses:
    - Functional analysis: J. Naumann, HU
    - Topology: C. Schultz, TU