Financial mathematics, First Cycle
2 year
Hours per week – 2. semester:
Content (Syllabus outline)

Seminar leader prepares a sufficient number of short individual or group topics from financial mathematics and its applications in practice along with necessary literature. The handouts have to suffice for the preparation of the seminar, however students can look for additional sources.


gradivo, ki ga pripravi vodja seminarja

Objectives and competences

The purpose of the course is to teach a student how to prepare a short seminar or a group research project. As a part of the course the students will, based on personal experience and observation of others, acquire the ability to practice before class, make transparent overlays, etc. They will learn what is important for a successful presentation and a seminar work. The course is aimed at getting acquainted with the practice directly, as the themes are taken from practice and employees of institutions and organizations working in the financial sector are invited to collaborate.

Intended learning outcomes

Knowledge and understanding: Student learns to prepare a short presentation and to write a seminar paper.
Application: Gained experience will be of use during the course of study for other courses and later for work.
Reflection: The ability to connect new skills to the expertise.
Transferable skills: Gained experience will be of use during the course of study for other courses that require presentation or homework. Gained exerience will be helpful in future employment.

Learning and teaching methods

Each student prepares two presentations in the duration of 45 minutes, where 30 minutes is reserved for the presentation and 15 minutes for a discussion. The emphasis is not on the mathematical subject but rather on the implementation of the presentation and the written product. Each student has to write a short seminar work or a group research project.


grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

Janez Bernik:
BERNIK, Janez, MARCOUX, Laurent W., RADJAVI, Heydar. Spectral conditions and band reducibility of operators. Journal of the London Mathematical Society, ISSN 0024-6107, 2012, vol. 86, no. 1, str. 214-234. [COBISS-SI-ID 16357721]
BERNIK, Janez, MASTNAK, Mitja, RADJAVI, Heydar. Positivity and matrix semigroups. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2011, vol. 434, iss. 3, str. 801-812. [COBISS-SI-ID 15745625]
BERNIK, Janez. The eigenvalue field is a splitting field. Archiv der Mathematik, ISSN 0003-889X, 2007, vol. 88, no. 6, str. 481-490. [COBISS-SI-ID 14333017]
Tomaž Košir:
KOŠIR, Tomaž, OBLAK, Polona. On pairs of commuting nilpotent matrices. Transformation groups, ISSN 1083-4362, 2009, vol. 14, no. 1, str. 175-182. [COBISS-SI-ID 15077977]
CVETKO-VAH, Karin, KOKOL-BUKOVŠEK, Damjana, KOŠIR, Tomaž, KUDRYAVTSEVA, Ganna. Semitransitive subsemigroups of the singular part of the finite symmetric inverse semigroup. Acta mathematica Hungarica, ISSN 0236-5294, 2011, vol. 131, no. 1-2, str. 1-24. [COBISS-SI-ID 15842905]
BUCKLEY, Anita, KOŠIR, Tomaž. Plane curves as Pfaffians. Annali della Scuola normale superiore di Pisa, Classe di scienze, ISSN 0391-173X, 2011, vol. 10, iss. 2, str. 363-388. [COBISS-SI-ID 15928409]