The study lasts three academic years (i.e. six semesters), 180 ECTS credits. Candidates for enrollment in this study program must have completed a four-year secondary school. The professional title that is acquired is **Baccalaureate/Bachelor of Mathematics – Mathematics and Informatics Education**

The main goal of the study is to provide students with knowledge and skills that qualify them for access to the second cycle of study and enable them to work as baccalaureates of mathematics and informatics majors. During their studies, students acquire knowledge and competences in various areas of mathematics and informatics, which enable them to learn the necessary mathematical methods and IT systems at all levels of integration and in a wide range of relevant problems. Students also acquire knowledge from a group of pedagogic-psychological and methodical-didactic subjects and during their studies perform methodical practice in mathematics and informatics in elementary school. During the internship, students follow the preparation and delivery of the teacher-mentor’s classes and independently prepare and realize a certain number of teaching hours. Depending on the choice of elective subjects, students have the opportunity to acquire additional knowledge in various areas of mathematics, informatics or teaching methods.

### Learning outcomes specific to mathematics

Diploma holders are able to:

- formulate and solve problems in general mathematics at the level of typical introductory mathematics courses,
- formulate and solve problems from the basics of various areas of theoretical mathematics, such as analysis, algebra and geometry, as well as the basics of applied mathematics.
- Learning outcomes specific to computer science

### Diploma holders are able to:

- effectively use operating systems, as well as computer applications in the field of word processing, spreadsheet calculations and business graphics, as well as some
- algebraic computer packages,
- analyze the possibilities and methods of solving simpler problems with the help of computers,
- create and implement websites,
- develop simpler programming solutions in different programming languages, both without and with the application of object-oriented and generic techniques.
- Learning outcomes that are specific to teaching mathematics and informatics

### Diploma holders are able to:

- effectively interpret the instructions in the curricula of primary schools when planning lessons in mathematics and informatics,
- combine different teaching methods and sources of information with the aim of ensuring the quality of classes in mathematics and informatics,
- they use different knowledge evaluation techniques and harmonize them with teaching and learning goals,
- implement simple projects in mathematics and computer science.
- Generic learning outcomes

### Diploma holders are expected to:

- develop problem-solving skills,
- develop research skills,
- are able to successfully communicate their ideas using different media,
- use computers in different contexts,
- are able to work independently as well as in a team,
- they use literature in English and other foreign languages related to mathematics and informatics.

The baccalaureate diploma in mathematics and informatics in the teaching field qualifies the holder for independent teaching of mathematics and informatics subjects in elementary schools.

## Curriculum for "Mathematics and Informatics 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 |
---|---|---|---|

PMAT 110 | Elementary Mathematics | 2+2+0 | 4 |

PMAT 120 | Analysis I | 4+4+0 | 9 |

PMAT 130 | Introduction to Mathematics | 3+2+0 | 5 |

PMAT 140 | Linear Algebra I | 3+2+0 | 5 |

CS 110 | Programming I | 2+2+2 | 7 |

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

PMAT 160 | Analytic Geometry | 2+2+0 | 6 |

PMAT 170 | Analysis II | 4+4+0 | 8 |

PMAT 180 | Elementary Number Theory | 2+2+0 | 4 |

CS 160 | Programming II | 3+2+2 | 6 |

PMAT 190 | Linear Algebra II | 3+2+0 | 6 |

Code | Course Title | Semester III | ECTS |
---|---|---|---|

PMAT 210 | Set Theory | 2+2+0 | 4 |

PMAT 220 | Probability Theory | 2+2+0 | 4 |

PMAT 230 | Analysis III | 4+3+0 | 7 |

AMAT 210 | Differential Equations | 3+2+0 | 6 |

CS 220 | Numerical Methodse | 2+1+2 | 4 |

CS 235 | Algorithms | 3+2+2 | 5 |

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

AMAT 260 | Statistics I | 2+1+2 | 5 |

PMAT 260 | Geometry I | 3+2+0 | 5 |

CS 270 | Computer Networks | 2+0+2 | 5 |

PMAT 280 | Combinatorics | 2+2+0 | 5 |

EDU 260 | Pedagogical Psychology | 2+2+0 | 5 |

EDU 270 | Didactics | 2+1+0 | 5 |

Code | Course Title | Semester V | ECTS |
---|---|---|---|

PMAT 310 | Algebra I | 3+3+0 | 6 |

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

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

PMAT 320 | Complex Analysis I | 3+3+0 | 6 |

EDU 320 | Pedagogy | 2+2+0 | 5 |

EDU 340 | Docimology | 2+0+0 | 3 |

Code | Course Title | Semester VI | ECTS |
---|---|---|---|

EDU 390 | Methods of Teaching Informatics I | 3+0+2 | 6 |

EDU 370 | Methods of Teaching Mathematics I | 3+2+0 | 6 |

PMAT 360 | Algebra II | 3+3+0 | 6 |

CS 370 | Dynamic Web Systems | 2+0+2 | 5 |

PMAT 395 | Selected Topics in Geometry | 2+2+0 | 5 |

Elective Course 1 | min 3 |

Code | Elective Course Title | ECTS |
---|---|---|

PMAT 365 | Introduction to Differential Geometry | 5 |

CS 260 | Computability | 6 |

AMAT 230 | Cryptology | 3 |

PMAT 387 | Analytic and Geometric Inequalities | 4 |