- 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)
Integrated Master's study programmeCoordinator: doc. dr. D. Kobal
The programme is designed for the education of mathematics teachers in high schools. The structure and scope of its pedagogical courses meet the requirements for teaching of mathematics as an independent subject on all levels of pre-university education. Graduates of the programme can continue their studies in the third cycle.
Graduates obtain the title magister profesor matematike/magistrica profesorica matematik, abbreviated to mag. prof. mat.
This is a 5-year programme (10 semesters) with 300 ECTS credits.
Year 1: Analysis 1, Algebra 1, Logic and sets, Computer practical, Introduction to programming, Physics 1, Introductory seminar A or B.
Year 2: Analysis 2a, Analysis 2b, Physics 2, Algebra 2, Point-set topology, Affine and projective geometry, Elementary geometry, Discrete mathematics 1, Software in teaching.
Year 3: Analysis 3, Introduction to numerical methods, Probability, Statistics, Didactics of mathematics 2, Teaching work experience 1, Didactics 1, Astronomy, Elementary number theory, Seminar 1, two electives.
Year 4: Didactics of mathematics 2, Pedagogy with andragogy, Teaching work experience 2, Psychology of learning and teaching, Mathematical horizons, Mathematics for gifted students, Modern trends in the teaching of mathematics, Seminar 2, three electives.
Year 5: Mathematical horizons, Modern trends in the teaching of mathematics, Mathematics for gifted students, five electives.
Percentage of electives in the programme is 18% (54 credits), of those at least 13% (39 credits) from mathematics and pedagogical electives and up to 5% (15 credits) from general electives.
A student has to select at least 60 credits every year.
Admission requirements »
Candidates without a Matura certiificate from a Slovenian instituion must demonstrate knowledge of Slovenian (level B2 of Common European Framework of Reference for Languages).
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 54 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, Algebra 1, Computer practical.
- For enrolment in Year 3: all exams from Year 1, Analysis 2a, Analysis 2b, Algebra 2, Point-set topology.
- For enrolment in Year 4: all exams from Years 1 and 2, Analysis 3.
- For enrolment in Year 5: all exams from Years 1, 2 and 3.
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, 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.