# Theoretical Mathematics

This degree programme is designed to develop both the depth and breadth in the students' knowledge of mathematics and is also intended to prepare graduates for careers in public and private sector for which BSc degree in mathematics is required. Upon successful completion of this programme students should have the knowledge and skills needed for continuing their education on the next level – second cycle. Depending on their preferences students can through elective courses acquire additional knowledge from various areas of mathematics, didactics and computer science.

### Learning outcomes related to competencies and skills specific to teaching:

Upon succesful completion of the programme students will be able to:

- develop the mathematical content knowledge and skills from several foundational areas of mathematics,
- identify, formulate, abstract, and solve mathematical problems that use tools from a variety of mathematics,
- design mathematical models, apply mathematical analysis and problem-solving skills in a broad range of intellectual domains (e.g., biological, physical, or social sciences and engineering) in public or private service,
- read and learn from mathematical literature such as textbooks and journals,
- analyze the veracity of mathematical exposition,
- adequately prepare for successful work in graduate school, and careers requiring analytical skills.

### Learning outcomes - generic

Upon succesful completion of the programme students will be able to:

- develop problem solving and analytical skills,
- develop research skills,
- successfully transfer their ideas using different media,
- to communicate effectively with a range of audiences
- work independently and in a team,
- use literature written in English and other foreign languages,
- reflect on their own personal performance, to draw conclusions from this and to take action to guide themselves in terms of performance and development in their professional area,

The holder of BSc in mathematics degree is qualified for employment in various companies and institutions which employ BSc in mathematics, like universities and other research institutions. Provided that the holder has succesfully passed courses required for classroom teaching, the holder is qualified for employement at teaching posts in elementary schools. .

**Bachelor of Mathematics**

Theoretical Mathematics – The Curriculum

(academic year 2016/17)

Bachelor's (first cycle) academic study programme

COURSE 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 |

COURSE 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 |

COURSE 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 |

COURSE 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 |

COURSE 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 |

COURSE 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 | 5 |

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

------------- | Elective Course 3 | --------------- | min 5 |

### Elective Courses

COURSE TITLE | ECTS |
---|---|

English | 5 |

Theory of Computation | 6 |

Numerical Analysis | 5 |

COURSE TITLE | ECTS |
---|---|

Dynamical Systems | 4 |

Convex Analysis with Applications | 4 |

Cryptology | 3 |

Database Systems | 5 |

COURSE TITLE | ECTS |
---|---|

Graph Theory | 6 |

Selected Topics in Algebra | 5 |

Selected Topics in Geometry | 5 |

Projective Geometry | 5 |