Graduate university study programme in mathematics (Master level) - Industrial and Applied Mathematics

Study programme

**Academic title:**Master of Mathematics (MMath)

### Year 1

Code | Course | L+E+S ~ ECTS | |
---|---|---|---|

Winter | Summer | ||

M038 | Foundations of Fourier Analysis and Wavelets | 2+2+0 ~ 6 | |

M052 | Probability | 2+2+0 ~ 6 | |

M081 | Applications of Dynamic Systems | 2+2+0 ~ 5 | |

M080 | Data Clustering: Approaches, Methods and Applications | 2+1+1 ~ 5 | |

I032 | Signals and Systems | 2+2+0 ~ 5 | |

I024 | Scientific Computing | 2+2+0 ~ 5 | |

M054 | Introduction to Approximation Theory | 2+2+0 ~ 4 | |

Total | 16 ~ 20 | 12 ~ 16 |

In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below. The courses taken shall not carry less than 25 ECTS credits per semester.

**Elective courses: **

Code | Course | L+E+S ~ ECTS |
---|---|---|

M031 | Metric Spaces | 2+2+0 ~ 6 |

M044 | Stohastic Processes | 2+2+0 ~ 6 |

M068 | Statistical Practice | 1+2+1 ~ 6 |

M045 | Statistics | 2+2+1 ~ 6 |

M020 | Linear Programming | 2+2+0 ~ 5 |

I019 | Algorithm Complexity | 2+2+0 ~ 5 |

M058 | Introduction to Integral Theory | 2+2+0 ~ 5 |

M036 | Introduction to Measure Theory | 2+2+0 ~ 5 |

M053 | Convex Functions | 1+1+0 ~ 4 |

E005 | Macroeconomics | (2+2+0) + (2+2+0) ~ 8 |

M055 | Selected Topics in Matrix Theory | 2+1+0 ~ 4 |

M048 | Decision Theory | 1+0+1 ~ 4 |

I026 | Web Programming and Applications | 1+2+0 ~ 4 |

**Criteria for enrolment in Year 2:** a minimum of 45 ECTS credits which must obligatorily include ECTS credits allocated to the following courses: Scientific Computing and Introduction to Approximation Theory.

### Year 2

Code | Course | L+E+S ~ ECTS | |
---|---|---|---|

Winter | Summer | ||

M027 | Practicum in Mathematics | 2+0+2 ~ 6 | |

M028 | Optimization Methods | 2+1+1 ~ 6 | |

I007 | Basics of Artificial Intelligence | 2+2+0 ~ 6 | |

M060 | Theory of Partial Differential Equations | 3+1+0 ~ 4 | |

Z001 | Graduate Seminar | 0+0+2 ~ 3 | 0+0+2 ~ 3 |

M025 | Mathematical Models | 1+0+1 ~ 3 | |

Total | 8 ~ 12 | 14 ~ 19 |

In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below. The courses taken shall not carry less than 25 ECTS credits per semester.

**Elective courses: **

Code | Course | L+E+S ~ ECTS |
---|---|---|

M023 | Mathematical Finance | 2+1+1 ~ 7 |

M003 | Time Series | 2+0+2 ~ 6 |

I004 | Cryptography and System Security | 2+2+0 ~ 6 |

M032 | Multivariate Analysis | 2+1+1 ~ 6 |

M076 | Operations Research and Applications | 2+1+1 ~ 6 |

M057 | Reliability Theory | 2+1+1 ~ 6 |

M070 | Introduction to Algebraic Topology | 2+0+2 ~ 6 |

E009 | Credit Risk Management | 2+0+2 ~ 4 |

E004 | Financial Markets | 2+0+1 ~ 3 |

M024 | Mathematical Aspects of Electoral Systems | 1+0+1 ~ 3 |

M061 | Numerical Linear Algebra in Control of Linear Systems | 2+1+0 ~ 3 |

I018 | Computer Laboratory | 1+1+1 ~ 3 |

Thesis topics are approved at the Department of Mathematics Council session. Thesis ECTS credits are included in the course Graduate Seminar.