Curriculum
The program takes two full years of study and is worth 120 ECTS credits (including all courses, course projects, teaching and research practice, and preparation of the Master's thesis).
All students fill their individual study plans (ISPs). The ISPs are subjected to approval by the advisor and the international MSc students coordinator.
The admission, the required courses, the determination of grades, the organization of exams and the procedures for mutual recognition are governed by the rules and regulation of the respective programs: the M.Sc. in Computational Mathematics at the University of Passau and the Mathematics Master’s program at HSE, Nizhny Novgorod,information about which is available at the web sites of these universities. Program participants are pre-selected by their home university and must undergo the regular admission process in the relevant program of the host university and fulfill the admission requirements (the qualifying degree, the minimal grade etc.).
The following are the items of the study plans in HSE:
| Title of the module: | Credits |
| Compulsory: |
|
| Master’s thesis | 18 |
| Defense of master’s thesis | 3 |
| Research seminars of the Master’s program | 25 |
| Topology and dynamics of systems | 6 |
| Hyperbolic dynamics | 5 |
| Topology and geometry of foliations | 6 |
| Numerical and analytic methods for research of dynamical systems | 5 |
| History and Methodology of Mathematics | 6 |
| Mathematical methods of natural science | 6 |
| Research Practice | 6 |
| Teaching practice | 3 |
| Course work | 6 |
|
|
|
| Compulsory-elective: |
|
| The theory of connections | 6 |
| Riemannian geometry | 5 |
| Lie algebras | 5 |
| Complex Dynamics and Fractal Geometry |
|
| One-parameter semigroups and evolution equations | 5 |
| Ergodic theory | 5 |
| Qualitative theory of dynamical systems on manifolds | 6 |
| Mathematical methods of theoretical physics | 6 |
The amount of ECTS credits awarded by the University of Passau for each recognized course will correspond to the amount of credits according to the Russian system. The grades of the recognized courses will be transferred into the German system according to the regulations from the StuPo. HSE will recognize the following courses from Passau:
| Title of the module: | ECTS Credits: |
| Master’s thesis | 30 |
| Seminar 1 | 5 |
| Seminar 2 | 5 |
| Real algebraic Geometry | 9 |
| Computational Algebraic Geometry | 9 |
| Constructive Approximation | 9 |
| Approximation Theory | 9 |
| Geometric Modelling | 9 |
| Networked Control Systems | 6 |
| Mathematical Systems Theory | 9 |
| Semigroup Theory | 7 |
| Queuing Systems | 6 |
| Data Science Lab | 6 |
| Occupational Internship | 4 |
| Scientific Methods and Technical Writing | 5 |