# Mathematics Education

Mathematics Education – The Curriculum

(academic year 2016/17)

Master's (second cycle) academic study programme

COURSE CODE | COURSE TITLE | SEMESTER I | ECTS |
---|---|---|---|

PMAT 410 | Selected Topics in Algebra | 3+2+0 | 8 |

PMAT 420 | Number Theory | 3+2+0 | 7 |

PMAT 430 | Higher Geometry | 3+2+0 | 8 |

AMAT 410 | Statistics | 2+2+1 | 7 |

COURSE CODE | COURSE TITLE | SEMESTER II | ECTS |
---|---|---|---|

PMAT 460 | Real and Functional Analysis | 3+2+0 | 9 |

CS 460 | Mathematical Algorithms | 2+2+1 | 7 |

EDU 460 | Methods of Teaching Mathematics I | 3+2+0 | 7 |

EDU 470 | Methods of Teaching Informatics I | 2+2+1 | 7 |

COURSE CODE | COURSE TITLE | SEMESTER III | ECTS |
---|---|---|---|

EDU 510 | Methods of Teaching Mathematics II | 3+2+2 | 9 |

EDU 520 | History and Philosophy of Mathematics | 3+0+0 | 7 |

-------------- | Elective course 1 | ---------- | min 7 |

-------------- | Elective course 2 | ---------- | min 7 |

COURSE CODE | COURSE TITLE | SEMESTER IV | ECTS |
---|---|---|---|

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

**Master of Mathematics - Mathematics Education**

### Elective course 1 and 2

COURSE CODE | COURSE TITLE | L+E+LAB | ECTS |
---|---|---|---|

AMAT 535 | Integer and Combinatorial Optimization | 3+2+0 | 7 |

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

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

AMAT 420 | Partial Differential Equations | 3+2+0 | 8 |

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

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

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

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

EDU 530 | Methods of Teaching Gifted Students | 3+2+0 | 7 |

EDU 540 | Methods of Teaching Informatics II | 2+2+1 | 7 |

CS 542 | Advanced Algorithms Techniques | 2+2+1 | 7 |

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

### Rules of II cycle studies

Classes for each direction of studies are carried out over the four terms: I, II, II and IV semester. In each of the first three semesters student has 4 subjects and the fourth semester is dedicated for the work on master's thesis.Each of the subjects is one-semester subject, usually carries from 7 to 9 ECTS and is represented with 5 classes per week of effective teaching and auditorial and/or laboratory exercises, depending on the nature of the course. All subjects from the first and second semester are obligatory as well as two subjects from the third semester.

Two subjects from the third semester are elective and related to the topic of the thesis. Two elective courses and master's thesis (which carries 30 ECTS) together carry a minimum of 47 credits, which is more than 1/3 of the total number of ECTS for the entire second cycle education. Therefore, they define the degree based on the wishes and individual preferences of each student. Compulsory courses carry a total of 76 ECTS, which is 2/3 of the total ECTS for the entire second cycle education. They determine the direction of study program.

Prior to the third semester enrolment, student (in writing) opt for elective courses from the comprehensive list of elective courses for each direction of studies. Also, before enrolling in the third semester, each student, in consultation with the teacher (future thesis mentor) and with the consent of the Council of the Department chooses topic of the thesis (in writing).