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Financial Mathematics, Second cycle

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.

Level:
2
Number of years:
2
Credits per year:
60
Duration:
2 years (4 semesters), total of 120 ECTS credits
Professional title:
Graduates obtain the title magister finančne matematike/magistrica finančne matematike, abbreviated to mag. fin. mat.
Employment opportunities

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.

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.

Criteria for recognising knowledge and skills obtained prior to enrolment in the programme

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).

Conditions for advancement under the programme

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.

Conditions for transferring between 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.

Conditions for completing studies

To graduate students need to complete all exams and submit and defend a thesis.

Classification
  • KLASIUS-SRV: Masters education (second Bologna cycle)/Master (second Bologna cycle)
  • ISCED: Mathematics and statistics
  • KLASIUS-P: Mathematics (broad programmes)
  • KLASIUS-P-16: Mathematics
  • Frascati: Natural Sciences
  • SOK level: 8
  • EOK level: 7
  • EOVK level: Second cycle

Curriculum

P = lecture and seminar hours per week
V = theoretical and laboratory exercise hours per week
ECTS = credit points

1. year
2. year
1., 2. year
Electives M3 Geometry and topology
1. sem. 2. sem.
Course ECTS P/V P/V
Algebraic topology 1 6 3/2 0/0
Algebraic topology 2 6 3/2 0/0
Analysis on manifolds 6 3/2 0/0
Differential geometry 6 3/2 0/0
Convexity 6 3/2 0/0
Lie groups 6 3/2 0/0
Riemann surfaces 6 3/2 0/0
Introduction to algebraic geometry 6 3/2 0/0
Electives O: Other electives
1. sem. 2. sem.
Course ECTS P/V P/V
Mathematics in industry 6 2/0 0/0
2. year
Electives O: Other electives
1. sem. 2. sem.
Course ECTS P/V P/V
Workplace experience 2 6 0/0 1/0

Among the elective professional courses in groups M1-M5 and R1, a student must choose:

at least five elective professional courses (30 credit points) in group M5,
at least four courses (24 credit points) from the elective professional courses in groups M1-M4 and R1.

Exceptionally, based on an approved request, a student can replace one of the courses from groups M1-M4 and R1 with a suitable course from group O or with a course offered in the following study programs: Second Cycle Study Program in Financial Mathematics, Second Cycle Study Program in Applied Statistics, the doctoral study program in Mathematics and Physics, or the interdisciplinary doctoral study program in Statistics. In this case, it is sufficient for the student to obtain 23 instead of 24 credit points, but the missing credit point must be obtained through a general elective course, which is an elective professional course from group M5 or an elective professional course at the Faculty of Economics, University of Ljubljana (UL EF).

The selection of courses must be approved by the Study Committee of the Department of Mathematics.