Mathematics, Second Cycle

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 Mathematics (academic) wishing to take active part in planning, engineering and development in professional environments, or engage in scientific research in mathematics, theoretical computer science or theoretical mechanics.

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 matematike/magistrica matematike, abbreviated to mag. mat.
Basic objectives 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.

General competences

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

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,

Admission requirements

Admission to the study programme is open to either: a) Graduates of the Academic study programme in 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, pass the final exam, 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. sem. 2. sem.
Course ECTS P/V P/V
Master's thesis and exam 25 0/0 0/0
Mathematical seminar 3 1/0 1/0
General elective 4 0/0 2/1
General electives 16 7/6 0/0
Electives from groups M1-M5, R1 and O 12 6/4 0/0
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 General
1. sem. 2. sem.
Course ECTS P/V P/V
Astronomy * 7 2/1 2/1
Workplace experience 1 6 0/0 1/0
Workplace experience 2 6 0/0 1/0
Mathematical models in biology 6 3/2 0/0
Mathematics in industry 6 2/0 0/0
Modern physics 6 3/2 0/0
Theoretical physics 7 4/2 0/0