Integrated undergraduate and graduate university study programme in mathematics and computer science

Study Programme

**Academic title:**Master of Education in Mathematics and Computer Science (MEd)

### Year 3

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

Winter | Summer | ||

M067 | Numerical Mathematics | 2+2+0 ~ 5 | |

M022 | Introduction to Set Theory and Mathematical Logic | 2+2+0 ~ 5 | |

M050 | Introduction to Probability and Statistics | 2+2+0 ~ 5 | |

M066 | Vector Spaces | 2+2+0 ~ 5 | |

F002 | Elementary Physics II | 2+2+0 ~ 4 | |

I001 | Fundamentals of Databases | 1+1+1 ~ 4 | |

M063 | Applications of Calculus II | 1+2+0 ~ 4 | |

I017 | Introduction to Computer Networks and Services | 1+1+0 ~ 3 | |

Total | 13 ~ 16 | 15 ~ 19 |

In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below.

**Elective courses: **

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

M065 | Convex Sets | 1+0+1 ~ 3 |

M064 | Inequalities | 1+1+0 ~ 3 |

I020 | Office Operations | 0+1+1 ~ 3 |

Z005 | Influence of the Town on the Region of Slavonia and Vice Versa | 1+0+1 ~ 3 |

University elective |

**Criteria for enrolment in Year 4:** all second-year exams passed and a minimum of 45 ECTS credits achieved in the third year of study, which must obligatorily include ECTS credits allocated to the following courses: Introduction to Probability and Statistics and Fundamentals of Databases.

### Year 4

**Compulsory courses: **

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

Winter | Summer | ||

M029 | Didactics of Mathematics I | 2+1+1 ~ 6 | 2+1+1 ~ 6 |

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

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

M011 | Graphs | 2+2+0 ~ 5 | |

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

P007 | Didactics I | 1+1+1 ~ 3 | |

P009 | Pedagogy I | 1+1+1 ~ 3 | |

P010 | Pedagogy II | 1+1+1 ~ 3 | |

P005 | Psychology of Education I | 1+1+1 ~ 3 | |

P006 | Psychology of Education II | 1+1+1 ~ 3 | |

Total | 21 ~ 27 | 17 ~ 21 |

In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below.

**Elective courses: **

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

M008 | Financial and Actuarial Mathematics | 2+2+0 ~ 5 |

M059 | Data Clustering and Applications | 2+1+1 ~ 5 |

M016 | Concrete Mathematics | 2+2+0 ~ 5 |

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 |

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

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

M069 | Non-Euclidean Geometry | 2+1+0 ~ 4 |

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

**Criteria for enrolment in Year 5:** all third-year exams passed and a minimum of 45 ECTS credits achieved in the fourth year of study, which must obligatorily include ECTS credits allocated to the following courses: Didactics of Mathematics I and Statistical Practice.

### Year 5

**Compulsory courses: **

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

Winter | Summer | ||

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

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

M030 | Didactics of Mathematics II | 1+2+1 ~ 5 | 1+2+1 ~ 5 |

M017 | Constructive Geometry | 2+1+0 ~ 4 | |

I005 | Teaching Informatics | 2+1+0 ~ 4 | |

P008 | Didactics II | 1+1+1 ~ 3 | |

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

M040 | History of Mathematics | 2+0+0 ~ 3 | 2+0+0 ~ 3 |

Total | 21 ~ 28 | 12 ~ 17 |

In order to earn the mandatory academic year study workload of 60 ECTS credits, students shall choose elective courses from the list below.

**Elective courses: **

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

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

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

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

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

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

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

M037 | Operational Research | 1+0+1 ~ 3 |

M071 | Projective Geometry | 2+1+0 ~ 3 |

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

M056 | Pupils' Mathematics Competitions | 1+0+1 ~ 3 |

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