- Bachelor's academic study programme Mathematics 3+
- Bachelor's academic study programme Financial mathematics 3+
- Integrated Master's study programme Pedagogical mathematics 5+0
- Interdisciplinary Bachelor's academic study programme Computer science and mathematics 3+
- Professional study programme Practical mathematics 3+
Financial mathematics (academic year 2017/18)
Bachelor's (first cycle) academic study programmeCoordinator: prof. dr. T. Košir
Graduates obtain the title diplomirani finančni matematik (UN)/diplomirana finančna matematičarka (UN), abbreviated to dipl. fin. mat. (UN).
This is a 3-year programme (6 semesters) with 180 ECTS credits.
The principal goal of the academic study programme in Financial Mathematics is to create experts capable of solving hard mathematical problems arising in the banking and insurance sector, in trading activities of stock exchanges and brokerage firms, and in management of pension and health funds.
Year 1: Analysis 1, Analysis 2, Algebra 1, Discrete mathematics 1, Microeconomics, Optimization methods, Introductory seminar, Computer practical, Introduction to programming.
Year 2: Analysis 3, Probability 1, Probability and statistics, Financial mathematics 1, Macroeconomics, Operational research, Data analysis with programme R, Numerical methods 1, Numerical methods 2, Money and finance, Seminar.
Year 3: Financial lab, Probability with measure, Statistics 1, Stochastic processes 1, Game theory, Financial markets and institutions, Diploma seminar, electives.
Percentage of electives in the programme is 11.1% (20 credits), of those at least 9.4% (17 credits) from financial mathematics electives and up to 1.7% (3 credits) from general electives.
A student has to select at least 60 credits every year.
Admission requirements »
Admission to the study programme is open to either: a) Holders of the matura certificate (or an equivalent degree from a foreign institution).
b) Holders of the vocational matura certificate obtained in any of the four-year high school programmes (or an equivalent degree from a foreign institution). In this case, an additional examination in one of the general matura subjects different from those of the vocational matura is required. Either one of the vocational matura subjects or the additional one must be mathematics.
c) Holders of the final examination certificate obtained in any of the four-year high school programmes prior to 1 June 1995.
In case the number of applicants exceeds the maximum availability, the applicants are selected according to their final matura (or vocational matura) grade, their mathematics matura (or vocational matura) grade, their grade point average (GPA) in the last two years of high school, and their final mathematics grades in the last two years of high school. These are weighted in the following way.
Applicants under a)
- Matura certificate grade (30% of points),
- Matura mathematics exam grade (30% of points),
- GPA in the 3rd and 4th years of high school (20% of points),
- Final grade in mathematics in the 3rd and 4th years of high school (20% of points);
Applicants under b)
- Vocational matura grade (20% of points),
- Matura mathematics exam grade (40% of points),
- GPA in the 3rd and 4th years of high school (10% of points),
- Final grade in mathematics in the 3rd and 4th years of high school (30% of points);
Applicants under c)
- Final examination grade (30% of points),
- Mathematics final examination grade or mathematics grade in the 4th year of high school in case of exemption from the final exam (30% of points),
- GPA in the 3rd and 4th years of high school (20% of points),
- Final mathematics grade in the 3rd and 4th years of high school (20% of points).
Enrolment, re-enrolment and graduation requirements »
Enrolment in Year 1 is granted upon admission. For enrolment in the next study year it is necessary to earn 50 ECTS credits from courses and exams in the current study year. In addition to the credit quota, the completions of the following exams are obligatory:
- For enrolment in Year 2: Analysis 1, Analysis 2, Algebra 1, Computer practical.
- For enrolment in Year 3: all exams from Year 1, Probability 1, Probability and statistics, Analysis 3, Seminar.
To enrol in Year 2, students must also complete a medical exam.
For re-enrolment 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.
Validation of competences, knowledge, and skills acquired prior to admission to the study program »
Students may apply for validation of competences acquired previously by means of various forms of education if their competences match those of one or more courses offered within this study programme.
In a formal written request submitted to the Department of Mathematics, the applicant must specify the course(s) whose competences he or she had already mastered, and attach official transcripts proving it. When considering the possible validation of competences corresponding to a particular course, the department study committee bases its decision on a comparison of the duration of the educational process and the scope of the acquired competences with the respective components of the course(s) to which the request pertains.
If the study committee decides to validate the previously acquired competences, the student is awarded all ECTS credits that correspond to the respective course(s). In the validation process, the study committee follows The rules and guidelines for validation of informally acquired knowledge and skills, accepted by the Senate of The University of Ljubljana on 29 May 2007 (http://www.uni-lj.si/o_univerzi_v_ljubljani/statut_in_pravilniki.aspx).
Transferring from other study programmes
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.
Goals of the programme »
The principal goal of the academic study programme in Financial Mathematics is to create experts capable of solving hard mathematical problems arising in the banking and insurance sector, in trading activities of stock exchanges and brokerage firms, and in management of pension and health funds. Graduates of this study programme also acquire enough theoretical knowledge to be able to proceed with the Financial Mathematics programme in the second cycle.
Generic competencies developed by the student:
- ability of abstract thinking and problem analysis,
- ability of sorting out effective solutions and of their critical evaluation,
- ability of application of knowledge at solving practical problems,
- ability of using and following the professional literature,
- ability to set forth both written and oral presentations of specialized topics,
- ability to work both individually and as part of an (international) team,
- ability of lifelong self-education.
Subject specific competences developed by the student:
- basic knowledge of mathematics, basic knowledge of economics and finance, basis knowledge of informatics,
- ability to solve non-deterministic problems with the help of probability theory and statistics,
- ability to solve deterministic problems with the help of optimization methods and operations research,
- ability of computation of approximate solutions with the help of numerical methods,
- ability to use computers to solve problems and present results.