Mathematics with Financial Engineeringprint
Name of the programme: Mathematics with Financial Engineering
Type of programme: Master's, 2nd Bologna cycle
Degree awarded: “magister finančne matematike” equiv. to a Master’s degree in Financial Mathematics
Duration: 2 years (4 semesters)
Programme structure: 17 courses (102 ECTS), Master’s Thesis (18 ECTS)
Mode of study: full-time
Language of study: Slovene
For information regarding application, enrolment and other administrative procedures please contact Student Services.
About the programmetop
The study programme for a Master’s in Mathematics with Financial Engineering (MFI) is designed for graduates of financial mathematics who wish to expand their knowledge of mathematics and financial engineering and gain further understanding of economics and finance. Its principal objective is to train professionals in solving complex mathematical problems that arise in banking and insurance, in stock exchange and brokerage house dealings/operations, and in the management of pension funds and health funds.
It should be noted that economic science has, in recent decades, experienced a substantial shift away from traditional social science to what we now call applied mathematics. There has been a growing interest in describing, simulating and analyzing financial problems with the use of the instruments of mathematical analysis and numerical methods. Hence, solving the most complex scientific as well as entirely practical and common problems of the economy is now based primarily on mastery of the instruments of computer science and mathematical analysis.
With its master's programme in the field of financial mathematics and its other study programmes, UP FAMNIT offers a broad range of knowledge based on mathematics and computer science. This knowledge not only has a distinctly applied value but also the advantage of drawing on a combination of interdisciplinary skills that are essential both for following the development of modern economic science and in order to facilitate successful job placement in academia, public administration or the economy.
Educational and professional goals top
To provide a thorough understanding of mathematics in financial engineering
To demonstrate the importance of analytical thinking and reasoning and using various mathematical problem-solving methods in financial engineering
To educate and train students to become confident in using the acquired skills
To develop students’ capacity for mathematical thinking and reasoning in the field of financial mathematics
To identify the connections between various mathematical theories and financial engineering
To develop the ability to extrapolate new conclusions from the analysis of existing data
To develop a sense for collaboration in problem solving
To train students to use modern technology in solving and presenting mathematical problems and concepts
To develop a positive attitude towards continuous education in finance and mathematics when solving various problems
To emphasize accuracy in using mathematical expressions and symbols in the spoken and written word
To develop students' confidence in the identification and use of suitable mathematical skills, knowledge and techniques in a given situation
The two year programme is comprised of 17 courses and a master’s thesis and earns a total of 120 credit points according to the ECTS credit system. In the first year, the programme consists of 9 compulsory courses and 1 external elective course. In the second year, the programme consists of 5 compulsory courses, 1 external elective course, 1 internal elective course, and the preparation and defence of a master’s thesis. All courses are assigned 6 ECTS credit points each, and the master’s thesis accounts for an additional 18 ECTS credit points.
|Year of study||Study obligation||Number||ECTS-credits (ECTS)|
|ECTS||ECTS/Year of study|
|External Elective Course||1||6|
|Internal Elective Course||1||6|
|External Elective Course||1||6|
|Master's Thesis - Preparation and Defence||1||18|
|1.||Selected Topics of Analysis||6||45||-||-||45|
|5.||Selected Topics in Algebra||6||45||30||-||75|
|6.||Selected Topics in Numerical Mathematics||6||45||30||-||75|
|7.||Selected Topics in Discrete Mathematics||6||45||30||-||75|
|10.||External Elective Course I||6|
|4.||Valuation of Insurance Products||6||45||30||-||75|
|5.||Financial Engineering Practicum||6||-||30||45||75|
|6.||Internal Elective Course||6|
|7.||External Elective Course II||6|
|8.||Master's Thesis - Preparation and Defence||18|
(The list shows only elective courses offered in the last two academic years.)
|1.||Selected Topics in Theory of Finite Geometries||6||45||30||75|
|2.||Selected Topics in Number Theory||6||45||30||75|
Admission requirements top
Admission to the first year shall be granted to applicants having completed:
a first-cycle study programme in the field of mathematics in economics and finance, financial mathematics, or mathematics, or
a professional higher education study programme (adopted before 11 June 2004) in the field of mathematics in economics and finance, financial mathematics, or mathematics, or
a study programme from any other field of expertise, equivalent in time and scope to the programmes described above – in this case the applicant is required to fulfill additional academic requirements, the content and extent of which depend on the previously completed study programme. Additional academic requirements shall be determined by the relevant committee of UP FAMNIT.
Applicants may fulfill these additional academic requirements during their undergraduate studies, in training programmes, or by taking examinations prior to enrolment.
In the case of enrolment limitations, applicants shall be selected on the basis of the average grade obtained during their undergraduate studies, also taking into account the grade of their final thesis.
Admission may also be gained by an applicant having completed a comparable study programme abroad. Prior to enrolment, the applicant must apply for the recognition of completed education.
Continuation of studies according to the transfer criteriatop
Transfers between study programmes are possible on the basis of the Higher Education Act, Criteria for Transferring between Study Programmes and in accordance with other regulations of this field.
The transition between study programmes is the enrolment in the higher year of the study programme, in case of leaving the education at the initial study programme and continuing the study process at another study program of the same degree. The transition takes into account the comparability of the study programmes and the completed study obligations of the candidate in the initial study program.
Access to Year 2 of the Master’s programme of Mathematics with Financial Engineering on the basis of the Criteria for Transferring between Study Programmes is granted to candidates, provided that the following conditions have been met:
the candidate fulfils the requirements for admission to the study programme of Mathematics with Financial Engineering;
completion of the first study programme which the candidate is transferring from ensures the acquisition of comparable competencies as those envisaged by the study programme of Mathematics with Financial Engineering; and
other conditions in accordance with the Criteria for Transferring between Study Programmes have also been met (a comparable course structure, course requirements completed).
Individual applications for transfer shall be considered by the relevant committee of UP FAMNIT. Apart from comparability between both fields of study, the committee shall also consider comparability between the study programmes, in accordance with the Criteria for Transferring between Study Programmes. The applicant may also be required to complete differential exams as defined by the relevant Faculty committee.
Enrolment on the basis of the Criteria for Transferring between Study Programmes is also open to candidates of a related study programme abroad who have been, in the process of recognition of their studies abroad, legally granted the right to continue their educational training in the study programme of Mathematics with Financial Engineering.
In the case of limited enrolment, applicants shall be selected on the basis of the average grade obtained during the study programme they are transferring from.
Advancement requirements top
Progression to Year 2 is granted to students who have collected at least 42 credits in the current academic year. Under exceptional circumstances, exemption from this requirement is also granted to students who have justifiable reasons for not having obtained the required 42 credits, eg. parenthood, extended illness, extraordinary family and social circumstances, status of student with special needs, active participation in top scientific, cultural and sporting events, active participation in university bodies, etc. In such cases, entry into the second year of study shall be decided upon by the relevant committee of UP FAMNIT.
Students who have not completed all the requirements (as defined by the study programme) for advancement to the next year of study may repeat a year only once during their studies, in accordance with the Higher Education Act.
Student status, along with the corresponding rights and benefits provided by law and the Statute of UP, is retained by advancing to the next year of study and also by repeating a year. In accordance with the law and the Statute of UP, students can apply for an extension of student status for a maximum of one year.
To complete their studies, students are required to fulfill all their academic obligations as defined by individual course curricula and the study programme.
Students are required to write a master's thesis under the guidance of an advisor (mentor), usually selected in the second year of study. The master's thesis must be completed in accordance with the applicable guidelines for the preparation of the master’s thesis. A student can submit the application for the Master's thesis topic proposal after enrolment in the 2nd year of study.
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 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.
Graduate employment opportunities top
Graduates of the programme can find employment in banks and insurance companies, stock exchanges and brokerage houses, pension and health funds, public administrations and agencies, in the logistics sector, and in other areas that require both a basic knowledge of economics and finance as well as analytical skills, such as such as strategic and logistics divisions of larger companies. Graduates who have supplemented their studies with appropriate elective courses can be particularly suited to the industrial sector, particularly bioinformatics and biotechnology sectors, as well as mechanical engineering.
Graduates may also choose careers which are not essentially tied to the scope of their completed studies. Every graduate of this programme will obtain skills essential for leading positions in many areas: well-developed logical thinking, prudence, the ability to thoroughly assess procedures and outcomes, and an analytical approach to problem solving.
The study programme will provide the local ecomony with highly qualified professionals that meet the needs of transportation (Port of Koper, Intereuropa), banking, insurance, and gaming and computer companies. On a national scale, the study programme will provide much-needed experts in modern economics who are highly trained in mathematical modeling.