Title: Topology III
Lecturer: Holger Reich, Elmar Vogt
Type: lecture (2h) + exercises (2h) + seminar (2h) 

Title: Metric comparison geometry
Lecturer: John M. Sullivan
Type: lecture (4h) 

Title: Mathematical visualization
Lecturer: John M. Sullivan
Type: lecture (4h) + exercises (2h) 

2. Algebra and number theory, algebraic and arithmetic geometry

Title: Algebraic curves and their moduli spaces
Lecturer: Gavril Farkas
Type: lecture (4h) + exercises (2h)

Title: Applied algebraic geometry
Lecturer: Bernd Sturmfels
Type: lecture (2h)

Title: Algebraic geometry
Lecturer: Tobias Finis
Type: lecture (2h)

3. Probability theory and financial mathematics

Title: Mathematical statistics
Lecturer: Markus Reiß
Type: lecture (4h) + exercises (2h)

Title: Markov processes and stochastic differential equations
Lecturer: Ehrhard Behrends
Type: lecture (4h) + exercises (2h)

Title: Financial mathematics II
Lecturer: Peter Bank
Type: lecture (4h) + exercises (2h)

Title: Computational finance
Lecturer: Antonis Papapantoleon
Type: lecture (2h)

Title: Affine processes
Lecturer: Martin Keller-Ressel  
Type: lecture (2h)

4. Discrete mathematics and discrete geometry

Title: Discrete geometry
Lecturer: Günter Rote
Type: lecture (2h) + exercises (2h) 

Title: Geometry of cuts and metrics
Lecturer: Martin Grötschel
Type: lecture (2h)

Title: Cuts, metrics and matroids
Lecturer: Martin Grötschel
Type: seminar (2h) 

Title: Discrete optimization
Lecturer: Martin Skutella
Type: seminar (2h)  


5. Linear, nonlinear and combinatorial optimization

Title: Discrete optimization
Lecturer: Martin Skutella
Type: seminar (2h)

Title: Advanced algorithms II
Lecturer: Helmut Alt
Type: lecture (4h) + exercises (2h) 

6. Numerical analysis, scientific computing, and visualization

Title: Adaptive finite element methods
Lecturer: Carsten Carstensen
Type: lecture (4h) + exercises (2h)

Title: Realization of finite elements
Lecturer: Martin Weiser
Type: lecture (4h) + exercises (2h) 

Title: Numerics of partial differential equations
Lecturer: Kersten Schmidt
Type: lecture (4h) + exercises (2h)   

Title: Theory of differential algebraic equations
Lecturer: Christian Schröder
Type: lecture (4h) + exercises (2h)    

Title: Theory of Krylov subspace methods
Lecturer: Jörg Liesen
Type: lecture (2h)

Title: Mathematical drug design
Lecturer: Peter Deuflhard, Konstantin Fackeldey,  Susanna Röblitz, Marcus Weber
Type: project seminar (2h)  


7. Applied analysis, mathematical physics, and dynamical systems

Title: Mathematical physics II
Lecturer: Jurij B. Suris
Type: lecture (4h) + exercises (2h) 

Title: Introduction to spectral theory of differential operators
Lecturer: Jochen Brüning
Type: lecture (4h) + exercises (2h)

Title: Dynamical systems III (aka Differential Equations III)
Lecturer: Berndold Fiedler, Stefan Liebscher
Type: lecture (4h) + exercises (2h)

Title: Geometry of the standard model
Lecturer: Christoph Stephan
Type: lecture (2h) + exercises (2h)

Title: Applied partial differential equations
Lecturer: Alan Rendall
Type: lecture (2h)