- 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+
(academic year 2017/18)
Master's (second cycle) programmeCoordinator: prof. dr. M. Krajnc
Please visit our Master's degree website for more information about the programme, department, and life in Ljubljana.
This programme is designed for Bachelors in Financial Mathematics as well as graduates of other first cycle programs wishing to enhance their knowledge of probability and optimization and acquire new knowledge of economics and financial mathematics. Graduates of this programme can take active part in planning and development in financial institutions and financial departments of large companies or engage in scientific research at economic research institutions.
This is a 2-year programme (4 semesters) with 120 ECTS credits.
Graduates obtain the title magister finančne matematike/magistrica finančne matematike, abbreviated to mag. fin. mat.
Year 1: Probability 2, Financial mathematics 2, three electives from group M5, three electives from groups M1, M2, M3, M4, R1, two electives at the Faculty of Economics
Year 2: Two electives from group M5, one elective from groups M1, M2, M3, M4, R1, one elective at the Faculty of Economics, general elective, Workplace experience 1, general elective or Workplace experience 2, Master's thesis
Mathematics electives are chosen from the following groups: Analysis and mechanics (M1), Algebra and discrete mathematics (M2), Geometry and topology (M3), Numerical mathematics (M4), Probability, statistics and financial mathematics (M5), Computer science and mathematics (R1).
Percentage of electives in the programme is 70% (84 credits), of those at least 60.8% (73 credits) from financial mathematics, mathematics and economics electives and up to 9.2% (11 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) Graduates of the Academic study programme in Financial mathematics.
b) Graduates of another University undergraduate study programmes, provided that before enrolling, they pass additional exams. The additional exams (between 10 and 60 credits) are assigned by the department study committee.
c) Graduates of a professional undergraduate study programmes, provided that before enrolling, they pass additional exams. The additional exams (between 10 and 60 credits) are assigned by the department study committee.
d) Graduates of equivalent programmes from other universities.
Enrolment, re-enrolment and graduation requirements »
Enrolment in Year 1 is granted upon admission. For enrolment in the second study year it is necessary to earn 50 ECTS credits from courses and exams in the current first study year.
For re-enrolment in the first study year, a student needs to earn at least half of all possible credits (30 ECTS credits). Re-enrolment is only possible once. A change of the study programme counts as re-enrolment.
To graduate, students need to complete all exams, pass the final exam, and submit and defend a thesis.
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 »
This programme is designed for Bachelors in Mathematics (academic) wishing to take active part in planning, engineering and development in professional environment, or engage in scientific research in mathematics, theoretical computer science or theoretical mechanics.
Generic competences developed by the student:
- abstraction, ability to analyze problems,
- synthesiss, critical analysis of solutions,
- ability to use theoretical concepts in pratice,
- ability to use mathematical literature,
- ability to present mathematics in writing and speaking,
- ability to work autonomously or in a team,
- lifelong self-education.
Subject specific competences developed by the student:
- familiarity with classical and modern major results in pure and applied mathematics as well as closely related areas such as computer science and mechanics,
- following and understanding hard mathematical proofs,
- abstraction of practical problems,
- adequate use of mathematical literature,
- application of different mathematical methods in order to solve concrete problems,
- computer programming using appropriate programming software,