Mathematics with Financial Engineering

Programme information

Curriculum

Course description

Presentation of the study

The master’s study programme Mathematics with Financial Engineering is conducted in Slovenian language.

The programme is intended for candidates who wish to deepen their knowledge of mathematics and connect it with contemporary financial challenges. It educates professionals for the analysis, modelling, and solution of complex problems in banking, insurance, funds, auditing, and the wider economy. Students develop advanced analytical thinking, the ability of mathematical reasoning, and the effective use of numerical, statistical, and computational methods. Special emphasis is placed on data analysis, machine learning, artificial intelligence, and the use of modern technological tools.

The programme promotes interdisciplinary integration of mathematics, economics, and computer science, and develops the ability to collaborate in solving complex problems. Students learn the practical application of mathematical methods, interpretation of results, clear professional communication, and the use of modern software tools for analysis, modelling, and presentation of financial concepts, enabling a deeper understanding of financial engineering in the contemporary economy.

Programme information

Programme name: Mathematics with Financial Engineering
Type of programme: Master’s study programme, 2nd cycle
Degree awarded: “magister finančne matematike” equiv. to a Master’s degree in Financial Mathematics
Duration: 2 years (4 semesters)
ECTS-credits: 120 ECTS
Mode of study: full-time
Language of instruction: Slovene
Place of study: Koper

Accreditation: the programme is accredited in accordance with the Higher Education Act and is officially recognised.

Admission to the 1st year of the master’s study programme in Mathematics with Financial Engineering is open to candidates who have:

a) completed a first-cycle degree programme in Mathematics in Economics and Finance, Financial Mathematics, or Mathematics; or

b) completed a higher professional study programme (programmes adopted before 11 June 2004) in Mathematics in Economics and Finance, Financial Mathematics, or Mathematics; or

c) completed a study programme of equivalent duration and scope to those referred to in points a or b from other fields, provided that the candidate completes additional study requirements prior to enrolment. The content and scope of these additional requirements depend on the previously completed study programme and are determined by the Committee for Study and Student Affairs of UP FAMNIT; or

d) completed equivalent education abroad and, in accordance with the Act Regulating the Recognition and Evaluation of Education, has been granted the right to continue studies in the master’s programme Mathematics with Financial Engineering through the recognition procedure of foreign qualifications.

The candidate completes additional study requirements during first-cycle studies, in professional development programmes, or by taking examinations prior to enrolment in the study programme.

In the case of limited enrolment, candidates will be selected based on the average grade of their undergraduate studies; for the calculation of the average grade, the final thesis at the undergraduate level is also taken into account as one of the assessed study requirements.

“Transfer between study programmes” refers to a situation in which a student enrolled in a particular study programme does not complete it (i.e. discontinues education in the enrolled programme) and directly enrols into a higher year of a new study programme, whereby both the previous and the new programme must belong to the same Bologna cycle (level). When considering the possibility of transferring to a new study programme, the comparability of the programmes and the student’s completed study requirements in the previous programme are taken into account.

Admission to the 2nd year of the master’s study programme in Mathematics with Financial Engineering under the transfer criteria is possible if the following conditions are met:

  • the candidate meets the admission requirements for the master’s study programme in Mathematics with Financial Engineering,
  • the completion of the initial study programme which the candidate is transferring from ensures the acquisition of comparable competences to those of the the master’s study programme in Mathematics with Financial Engineering, and
  • other criteria in accordance with the Criteria for Transfers between Study Programmes are met (comparable curriculum of the study programme and completed study requirements of the candidate).

Individual applications for transfer shall be considered by the Committee for Study and Student Affairs of UP FAMNIT. Apart from comparability between both fields of study, the committee shall also consider the comparability between the study programmes, in accordance with the Criteria for Transferring between Study Programmes. The Committee may also assign bridging exams to the candidate.

A candidate transferring from a related study programme abroad may also be admitted under the transfer criteria, provided that, in accordance with the law, they have been granted the right to continue their studies in the master’s study programme in Data Science through the recognition procedure of foreign education.

In the case of limited enrolment, candidates are selected based on the average grade of all completed study requirements in the study programme from which the candidate is transferring.

A student may progress to the next year if they accumulate at least 42 ECTS credits from the current year and complete all requirements from the previous year.

In special cases involving individual circumstances (such as illness or extraordinary situations), a student may be allowed to progress to the next year even with a lower number of ECTS credits. In such cases, the decision on enrollment is made by the Committee for Study and Student Affairs of UP FAMNIT.

A student who has not completed all the requirements specified by the study programme for progression to the next year may, in accordance with the provisions of the Higher Education Act, repeat a year once during their studies. If a student repeats a year, they are not entitled to absolvent year, and their student status expires at the end of the 2nd year.

By progressing or repeating a year, a student retains student status and, consequently, the rights and benefits defined by law. In accordance with the law, a student may apply for an extension of student status, but for no more than one year.

The study programme includes eight elective courses, of which five are internal electives and three are external electives. Internal electives are chosen within the study programme or from related master’s programmes, whereby at least two mathematics courses must be selected from the master’s study programme Mathematical Sciences.


External elective courses may be selected from other study programmes in Slovenia or abroad, primarily in the fields of finance, economics, and related areas, subject to approval by the coordinator.


More information on elective courses and study tracks is available in the document “Curriculum” (see above).

In the 2nd year, a student may choose to complete practical training in a work environment instead of one external elective course. The training lasts 3 weeks and is worth 6 ECTS.

The purpose of the practical training is to enable students to gain early exposure to the working environment and potential employers during their studies. The student carries out the placement in a real work environment under the supervision of a qualified mentor in the field of mathematics.

General competencies

  • The ability to analyse, synthesize and predict solutions and consequences of the factors related to the discipline of financial mathematics.
  • The ability to critically assess the developments in the field of financial engineering.
  • Development of communication skills.
  • Skills of co-operation, team work and project work.
  • The ability to autonomously seek and acquire professional knowledge and to integrate it with existing knowledge.
  • The ability to seek and interpret new information and to place it into the context of the discipline of mathematics.
  • Autonomy in professional work.
  • The ability to use computer resources for data analysis and the application of mathematical models.

Subject-specific competencies

  • The ability to describe a given situation with the correct use of mathematical symbols and notations.
  • The ability to explain and understand mathematical concepts and principles.
  • The ability to solve mathematical (and other) problems with the use of modern technology.
  • The ability to use the algorithmic approach – to solve a given problem by developing an algorithm.
  • The ability to perform an analysis of a given problem.
  • The ability to deduce new logical conclusions from the information given.
  • The ability to tackle a given problem in financial mathematics with confidence and to find its solution.

Graduates of the master’s programme may find employment in banks, insurance companies, stock exchanges, financial funds, public administration, auditing firms, and large companies requiring expertise in economics, finance, and analytical decision-making. The programme provides highly qualified professionals for the needs of the economy (transport, banking, insurance, IT) and helps address the shortage of experts with a strong focus on mathematical modelling and modern economics.

Graduates develop analytical thinking, logical reasoning, and the ability to solve complex problems, enabling them to pursue both managerial and professional careers, as well as to engage in research and development work in financial and research institutions.

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