Graduates of this academic programme are eligible for employment in information technology departments (software development, computer systems administration, customer support), technology and logistic sector of the economy, statistical services and planning institutions, financial institutions and the public sector.

# Practical Mathematics

The primary goal of the professional study programme in Practical Mathematics is to produce professionals capable of application of their mathematical knowledge in the working process in communications and information technology, technology, logistics, and elsewhere.

Generic competences developed by the student:

ability of critical assessment of solutions,

ability of application of knowledge,

ability of professional team work,

ability to use and follow professional literature,

ability to follow professional information on the internet,

ability of written as well as oral presentation of professional reports,

ability to adjust to new computer environments,

understanding the role of advanced knowledge of information technologies,

ability of identification of statistically significant differences,

ability of lifelong self–education

Subject specific competences developed by the student:

ability of employment of mathematical tools at practical problem solving,

ability of identification of mathematical processes in professional environment,

ability of result analysis,

ability of presentation of results,

ability of employment of mathematical tools in everyday environment,

ability of initiation and conduct of software upgrade,

ability of business process optimization,

ability of mathematical modelling of technological processes,

ability of employment of numerical methods at mathematical problem solving.

Admission to the study programme is open to holders of the final examination certificate, the vocational matura certificate or the matura certificate obtained by completion of any four-year high school equivalent programme (or an equivalent degree from a foreign institution).

If the number of applicants exceeds the maximum availability, the applicants are selected according to their high school achievements weighted in the following way:

Final examination or vocational matura or matura combined grade (30% of points),

Final examination or vocational matura or matura mathematics grade (30% of points),

Grade point average in the 3rd and 4th years of high school (20% of points),

Mathematics grade in the 3rd and 4th years of high school (20% of points).

Types of examination are defined in the learning plans of individual subjects. General rules of examinations are determined by internal regulations of FMF. Types of examinations are: written exercise based midterm exams, oral defense of midterm exams, written exercise based final exams, oral theoretical knowledge exams, seminars and work projects, defense of seminars and work projects. The grading scale used is in accordance with the Statute of the University of Ljubljana. All types of examinations are evaluated with grades from 5-10, where grades 6-10 are considered positive and grade 5 is a failing grade.

Enrolment in Year 1 is granted upon admission. For enrollment in the next study year, it is necessary to earn 54 ECTS credits from courses and exams in the current study year. In addition, all exams of the first study year must have been completed to be allowed enrollment in the third study year.

For re-enrollment in the same study year, a student needs to earn:

at least half of all possible credits of the current study year (30 ECTS credits), and

all credits from the previous study years.

Re-enrolment is only possible once. A change of the study programme counts as re-enrolment.

To graduate, students need to complete all exams.

It is possible to transfer from other study programmes. The appropriate year of study as well as other transfer requirements are determined on the basis of the programme the student is transferring from. The exact conditions for finishing the programme are determined by the department study committee.

To graduate, students need to complete all exams.

**KLASIUS-SRV**: Professional higher education (first Bologna cycle)/Professional higher education (first Bologna cycle)**ISCED**: Mathematics and statistics**KLASIUS-P**: Mathematics (broad programmes)**KLASIUS-P-16**: Mathematics**Frascati**: Natural Sciences**SOK level**: 7**EOK level**: 6**EOVK level**: First cycle

### Curriculum

**P** = lecture and seminar hours per week

**V** = theoretical and laboratory exercise hours per week

**ECTS** = credit points

1. sem. | 2. sem. | ||
---|---|---|---|

Course | ECTS | P/V | P/V |

Linear algebra | 13 | 3/3 | 3/3 |

Mathematics 1 | 16 | 4/4 | 4/4 |

Mathematics in practice | 4 | 2/2 | 0/0 |

Programming 1 | 9 | 2/2 | 2/2 |

Computer tools in mathematics | 3 | 0/0 | 1/2 |

Computer laboratory | 3 | 1/3 | 0/0 |

General elective | 4 | 0/0 | 2/1 |

General elective | 4 | 2/1 | 0/0 |

Introduction to physics | 4 | 0/0 | 3/1 |

1. sem. | 2. sem. | ||
---|---|---|---|

Course | ECTS | P/V | P/V |

Algebra and discrete mathematics | 6 | 3/3 | 0/0 |

Differential equations | 4 | 0/0 | 2/2 |

Physics practical | 3 | 0.27/1.73 | 0/0 |

Communicating mathematics | 3 | 2/0 | 0/0 |

Mathematical tools in physics | 5 | 0/0 | 3/3 |

Mathematics 2 | 14 | 3/3 | 3/3 |

Numerical methods 1 | 10 | 2/2 | 2/2 |

Programming 2 | 5 | 0/0 | 2/2 |

Statistics | 5 | 0/0 | 2/2 |

Probability | 5 | 2/2 | 0/0 |

1. sem. | 2. sem. | ||
---|---|---|---|

Course | ECTS | P/V | P/V |

Elective course 1 | 5 | 2/2 | 0/0 |

Elective course 2 | 5 | 0/0 | 2/2 |

Elective course 3 | 5 | 0/0 | 2/2 |

Mechanics | 5 | 2/2 | 0/0 |

Optimization | 7 | 3/3 | 0/0 |

Partial differential equations | 5 | 0/0 | 2/2 |

Data bases 1 | 6 | 3/2 | 0/0 |

Workplace experience | 15 | 0/0 | 2/0 |

Computer science 1 | 7 | 3/3 | 0/0 |

electives | |||
---|---|---|---|

1. sem. | 2. sem. | ||

Course | ECTS | P/V | P/V |

Expressing mathematics in English | 8 | 2/2 | 2/2 |

In addition to the course Expressing mathematics in English, students may take a cognate course from the curriculum of any 1st cycle professional study programme offered at the University of Ljubljana, for example the VPEŠ programme at the Faculty of Economics or the 1st cycle professional programs offered at technical faculties.

Electives Group I1 | |||
---|---|---|---|

1. sem. | 2. sem. | ||

Course | ECTS | P/V | P/V |

Discrete modelling | 5 | 2/2 | 0/0 |

Mathematical modelling | 5 | 2/2 | 0/0 |

Numerical methods 2 | 5 | 2/2 | 0/0 |

Computer science 2 | 5 | 0/0 | 2/2 |

electives | |||
---|---|---|---|

1. sem. | 2. sem. | ||

Course | ECTS | P/V | P/V |

Dynamical modelling | 5 | 2/2 | 0/0 |

Topics in physics | 5 | 4/0 | 0/0 |

Topics in practical mathematics | 5 | 2/2 | 0/0 |

Modelling and control of systems | 5 | 2/2 | 0/0 |

Data analysis and legal protection of data | 5 | 2/2 | 0/0 |

Data bases 2 | 5 | 0/0 | 2/2 |

Programming 3 | 5 | 2/2 | 0/0 |

Introduction to artificial intelligence | 5 | 2/2 | 0/0 |

Each student opts for at least three of the electives listed in the above table: at least one in the winter and at least two in the summer term. Of those, at least two must belong to group I1.

Student's choice of electives must be approved by the department's study committee.