The professional title that is acquired is Master of Mathematics – teaching education.

## Study rules

The study lasts two academic years (ie four semesters) and carries 120 ECTS credits. Candidates for admission to this study program must have completed the first cycle of a related study.

The teaching process is organized through lectures, classroom, and laboratory exercises. Before the beginning of the first semester, students opt for one of two groups of four elective subjects each **(mathematics major or mathematics and informatics major**) entirely in accordance with the expressed interest of the student. The Council of the Department of Mathematics may, if necessary, in accordance with personnel and material resources, replace a subject in the list for the mathematics major or the mathematics and informatics major with another subject from the I or II cycle of studies at the Mathematics Department with the appropriate number of ECTS credits.

In addition, the Council of the Department of Mathematics each academic year adopts a list of possible electives for each of the four lists of electives (Electives 1, 2, 3, and 4) for the first three semesters and decides on their implementation in accordance with current personnel and material resources and needs and interests of students.

Students can choose as an optional subject the subject that has not yet been taken as part of the curriculum of the first cycle of studies that the student has completed. If one of the compulsory subjects was passed during the first cycle of studies, the Council of the Department of Mathematics can determine a suitable substitute subject from the list of existing subjects in the first and second cycles of studies of the Department of Mathematics that the student will take and which carries a minimum number of ECTS credits as the subject taken replaces.

Before enrolling in the IV semester, the student, in agreement with the teacher (future final thesis mentor) and with the consent of the Department’s council, decides (in writing) on the topic of the master’s thesis.

## Curriculum and program for "Mathematics Education"

Valid for students enrolled from the academic year 2019/20

(Nastavni planovi i programi za studente upisane do akademske 2015./2016. godine)

(Nastavni planovi i programi za studente upisane do akademske 2019./2020. godine)

Code | Course Title | Semester I | ECTS |
---|---|---|---|

EDU 411 | Methods of Teaching Mathematics II | 2+2+0 | 5 |

EDU 421 | Teaching Practice in Mathematics in Primary School | 1+0+2 | 5 |

EDU 431 | Teaching Practice in Mathematics in Secondary School | 1+0+2 | 5 |

EDU 441 | Using Computers in Teaching | 2+0+2 | 5 |

PMAT 330 | Geometry II [ majoring in mathematics and informatics] |
2+2+0 | 5 |

PMAT 436 | Projective Geometry [ majoring in mathematics] |
2+2+0 | 5 |

Elective Course 1 | min 5 |

Code | Course Title | Semester II | ECTS |
---|---|---|---|

EDU 451 | Methods of Teaching Mathematics III | 2+2+0 | 6 |

EDU 461 | Inclusive Education | 2+1+0 | 5 |

EDU 491 | Methodology of Teaching Informatics II [ majoring in mathematics and informatics] |
2+0+2 | 5 |

EDU 483 | Teaching Practice in Informatics in Secondary School [ majoring in mathematics and informatics] |
1+0+2 | 5 |

EDU 482 | Teaching Practice in Inormatics in Primary School [ majoring in mathematics and informatics] |
1+0+3 | 5 |

PMAT 370 | Introduction to Functional Analysis [ majoring in mathematics] |
2+2+0 | 5 |

PMAT 380 | Measure Theory and Integration [ majoring in mathematics] |
3+2+0 | 5 |

EDU 481 | Teaching Practice in Mathematics in Secondary School II [ majoring in mathematics] |
1+0+3 | 5 |

Elective Course 2 | min4 |

Code | Course Title | Semestaer III | ECTS |
---|---|---|---|

EDU 511 | Teaching Research Methods | 2+0+1 | 5 |

EDU 531 | History of Mathematics | 2+0+0 | 5 |

EDU 521 | Selected Topics in Pedagogy | 2+1+0 | 5 |

Elective Course 3 | min 7 | ||

Elective Course 4 | min 8 |

Code | Course Title | Semester IV | ECTS |
---|---|---|---|

EDU 560 | Master Thesis | 20+0+0 | 30 |

Each academic year, the Council of the Department of Mathematics adopts a list of possible electives for each of the four lists of electives (Electives 1, 2, 3 and 4) for the first three semesters and decides on their implementation in accordance with current personnel and material resources and needs and interest of students.

Code | Course Title | P+A+LV | ECTS |
---|---|---|---|

AMAT 310 | Operations Research | 3+2+0 | 5 |

PMAT 340 | Analysis IV | 3+3+0 | 6 |

CS 340 | Software Development | 3+0+2 | 5 |

CS 120 | Computer Systems | 3+3+0 | 5 |

CS 330 | Databases | 3+0+2 | 5 |

CS 320 | Web Programming | 2+0+2 | 5 |

Each academic year, the Council of the Department of Mathematics adopts a list of possible electives for each of the four lists of electives (Electives 1, 2, 3 and 4) for the first three semesters and decides on their implementation in accordance with current personnel and material resources and needs and interest of students.

Code | Course Title | P+A+LV | ECTS |
---|---|---|---|

PMAT 380 | Measure Theory and Integration | 3+2+0 | 5 |

PMAT 370 | Introduction to Functional Analysis | 2+2+0 | 5 |

PMAT 385 | Selected Topics in Algebra | 2+2+0 | 5 |

AMAT 380 | Graph Theory | 3+2+0 | 6 |

CS 380 | Introduction to Computational Geometry | 2+0+2 | 4 |

CS 385 | Mobile Application Development | 2+0+2 | 5 |

Each academic year, the Council of the Department of Mathematics adopts a list of possible electives for each of the four lists of electives (Electives 1, 2, 3 and 4) for the first three semesters and decides on their implementation in accordance with current personnel and material resources and needs and interest of students.

Code | Course Title | P+A+LV | ECTS |
---|---|---|---|

AMAT 525 | Integral Equations with Applications | 3+2+0 | 7 |

AMAT 440 | Difference Equations and Discrete Dynamical Systems | 3+2+0 | 7 |

PMAT 537 | Selected Topics in Combinatorics | 3+2+0 | 7 |

PMAT 435 | Harmonic Analysis | 3+2+0 | 7 |

CS 533 | Metaheuristics | 3+0+2 | 7 |

CS 535 | Advanced Database Systems | 2+1+2 | 7 |

Code | Course Title | P+A+LV | ECTS |
---|---|---|---|

PMAT 425 | Fourier Transform and Wavelets | 3+2+0 | 8 |

PMAT 510 | Algebraic Curves | 3+2+0 | 8 |

AMAT 510 | Integral Transforms with Applications | 3+2+0 | 8 |

EDU 530 | Teaching Methods in Gifted Education | 3+2+0 | 8 |

CS 430 | Formal Methods and Computability | 3+2+0 | 8 |

CS 410 | Coding and Information Theory | 3+2+0 | 8 |