# Master degree 120 credits (syllabi)

**1st Year**

Algebra II | Compulsory (Fall Term) | ||||||||||||||||||||||||||||

Differential Geometry of Manifolds | Compulsory (Fall Term) | ||||||||||||||||||||||||||||

Partial Differential Equations I | Compulsory (Fall Term) | ||||||||||||||||||||||||||||

Functional Analysis II | Compulsory (Fall Term) | ||||||||||||||||||||||||||||

Complex Analysis II | Compulsory (Spring Term) | ||||||||||||||||||||||||||||

Banach Space Theory | Elective (Spring Term) | ||||||||||||||||||||||||||||

Partial Differential Equations II | Elective (Spring Term) | ||||||||||||||||||||||||||||

Geometry of Fiber Bundles | Elective (Spring Term) |

**2nd Year**

Riemann-Hilbert Problem and Nonlinear Equations | Elective (Fall Term) | ||||||||||||||||||||||

Mathematical Topics in Kinetic Theory | Elective (Fall Term) | ||||||||||||||||||||||

Lie Groups and Homogeneous Spaces | Elective (Fall Term) | ||||||||||||||||||||||

Low-Dimensional Geometry | Elective (Spring Term) | ||||||||||||||||||||||

Explicit and Approximate Solutions to the Boltzmann Equation | Elective (Spring Term) | ||||||||||||||||||||||

Harmonic Analysis of Operators | Elective (Spring Term) |

__List of Elective Master Degree Courses__

Partial Differential Equations II

Geometry of Fiber Bundles

Riemann-Hilbert Problem and Nonlinear Equations

Mathematical Topics in Kinetic Theory

Lie Groups and Homogeneous Spaces

Explicit and Approximate Solutions to the Boltzmann Equation

Harmonic Analysis of Operators