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

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 general mathematics baccalaureates. Acquired knowledge and skills enable diploma holders to participate in professional work in the field of mathematics and prepare for scientific research work in various fields of mathematics. During their studies, students acquire knowledge and competences in various areas of theoretical mathematics and its applications. The courses provided by the plan and program also enable the acquisition of knowledge in the basics of information systems and algebraic computer packages. Depending on the choice of electives, students have the opportunity to acquire additional knowledge in various areas of mathematics, teaching methods or computer science.

### 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
- follow and read the contents of more advanced courses and seminars in the field of theoretical mathematics,
- they use some standard algebraic computing packages.
- Generic learning outcomes

### Diploma holders are expected to:

- develop analytical and 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,
- efficiently use operating systems, as well as computer applications in the field of word processing, spreadsheet calculations and business graphics,
- use literature in English and other foreign languages related to mathematics.

The bachelor’s degree in general mathematics qualifies the holder to work as a mathematics bachelor in research institutes and higher education institutions, as well as in other companies and institutions that employ mathematics bachelors. After passing the courses in the pedagogical-psychological and didactic-methodical fields of the first cycle of studies of the Department of Mathematics, the holder of the diploma is qualified to independently teach mathematics subjects in elementary schools.

## Curriculum and program for "Pure Mathematics"

Valid for students enrolled from the academic year 2016/17

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

PMAT 185 | Discrete Mathematics | 2+2+0 | 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 |

AMAT 220 | Numerical Mathematics | 2+0+2 | 5 |

CS 230 | Computer Algebra Systems | 2+0+2 | 4 |

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

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

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

PMAT 270 | Topology | 2+2+0 | 5 |

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

AMAT 270 | Partial Differential Equations | 3+2+0 | 5 |

Elective Course 1 | min 5 |

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

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

EDU 310 | History of Mathematics | 2+0+0 | 4 |

PMAT 330 | Geometry II | 2+2+0 | 5 |

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

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

Elective Course 2 | min 3 |

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

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

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

PMAT 390 | Complex Analysis II | 2+2+0 | 5 |

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

PMAT 365 | Introduction to Differential Geometry | 2+2+0 | 5 |

Elective Course 3 | min 4 |

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

OTH 260 | English Language | 5 |

CS 260 | Computability | 6 |

AMAT 280 | Numerical Analysisa | 5 |

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

AMAT 230 | Cryptology | 3 |

AMAT 340 | Dynamical Systems | 4 |

AMAT 345 | Convex Analysis with Applications | 4 |

CS 330 | Databases | 5 |

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

AMAT 380 | Graph Theory | 6 |

PMAT 385 | Selected Topics in Algebra | 5 |

PMAT 395 | Selected Topics in Geometry | 5 |

PMAT 436 | Projective Geometry | 4 |