# Applied Mathematics

This degree programme is designed to develop both the depth and breadth in the students' knowledge of applied mathematics and is also intended to prepare graduates for careers in public and private sector for which BSc degree in applied 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 applied math:

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

- Identify, formulate, abstract, and solve mathematical problems that use tools from applied 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,
- implement applied math models,
- efficiently use statistical models.

### Learning outcomes related to competencies and skills specific to computer science:

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

- use computer technology, software, and algorithmic processes necessary in quantitative analysis and mathematical modeling,
- design, implement, and evaluate programs in various programming languages. ,

### Learning outcomes - generic

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

- develop problem solving and analytical 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 applied math degree is qualified for employment in various companies and institutions which employ Bsc in applied math, like banks, insurrance companies, software engineering companies, etc. 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 - Applied Mathematics**

Applied 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 |

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

AMAT 280 | Numerical Analysis | 2+0+2 | 5 |

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

AMAT 290 | Financial Mathematics | 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 |

CS 330 | Database Systems | 3+0+2 | 5 |

AMAT 320 | Actuarial Mathematics | 2+2+0 | 5 |

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

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

------------- | 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 |

AMAT 360 | Statistics II | 2+1+2 | 5 |

AMAT 360 | Graph Theory | 3+2+0 | 6 |

AMAT 370 | Introduction to Mathematical Modeling | 2+1+0 | 4 |

------------- | Elective course 3 | --------------- | min 5 |

### Elective courses

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

English | 5 |

Geometry I | 5 |

Combinatorics | 5 |

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

Dynamical Systems | 4 |

Convex Analysis with Applications | 4 |

Cryptology | 3 |

Web Programming | 5 |

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

Selected Topics in Graph Theory | 5 |

Integer Programming | 5 |

Mathematical Modeling in Biology | 5 |

Machine Learning | 5 |