- 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+
Mathematics (academic year 2019/20)
Doctoral programmeCoordinator: prof. dr. A. Simpson
The Doctoral Programme in Mathematics is a third cycle Bologna degree with 240 ECTS credits.
The main goal of the doctoral programme is for the student to prepare a doctoral dissertation containing original scientific research, including research that has been published in at least one article in a scientific journal. The student prepares this work under the guidance of student's doctoral supervisor. The doctoral supervisor must be agreed prior to admission to the 1st year of the doctoral programme.
Individual research work towards the doctoral dissertation contributes 174 credit points, with an additional 6 credits awarded for the completion and successful defence of the dissertation. The remaining 60 credits are earned from the required study components below.
- Predoctoral exam in year 1 (6 credits). The student is required to pass this exam, which is assessed as "pass" or "fail". The purpose of the exam is to check the student's understanding of basic mathematical concepts. For a student with a solid background, no additional preparation should be necessary. Here are examples of recent predoctoral exams (2015/16, 2016/17).
- Five elective courses/consultations in years 1 and 2 (6 credits per course, 30 credits in total). The student must take at least 3 taught doctoral courses, from the FMF doctoral programme in mathematics, and up to 2 consultation courses, each guided by an academic coordinator chosen in agreement with the doctoral mentor. (The coordinator of a consultation course must be different from the doctoral mentor.) The subject names for courses are sufficiently general (e.g., "Selected topics from analysis") to include all mathematical themes. Alex Simpson, the coordinator of the doctoral programme, should be notified about their choice.
- Individual study in years 1 and 2 (6 credits per year, 12 credits in total). Under the guidance of the doctoral mentor, the student becomes acquainted with their own broad research area (for example, they study postgraduate textbooks from the area, solve exercises in the area, etc.). This individual study does not include the study of specialist scientific articles directly related to the topic of doctoral research.
- Active participation in one research seminar at the Department of Mathematics, during years 1 and 2 (6 credits per year, 12 credits in total).
|Individual study 1||6|
|Individual study 2||6|
Students need to collect at least 60 credits every year.
The elective courses offered in the academic year 2019/20:
- Topics in algebra: Representation theory (lecturer Primož Moravec, spring semester),
- Topics in analysis: Elliptic Partial Differential Operators of Second Order (lecturer Oliver Dragičević, autumn semester) and
- Topics in topology: Computational geometry and topology (lecturers Petar Pavešić, Žiga Virk and Sergio Cabello, spring semester).
All electives in Years 1 and 2
Module Mathematics education
Department of Mathematics also offers the doctoral programme Mathematics education.
We expect candidates with excellent mathematical abilities and exceptional love for teaching.
The department study committee will consider each candidate individually, and will also assign courses and suggest an advisor. Candidates are encouraged to contact the module coordinator Damjan Kobal for more information.
Students need to obtain at least 12 credits from the elective courses above and at least 12 credits from didactics courses, either at other Faculties of the University of Ljubljana, or from the course Topics in didactics of mathematics.