Seminar 1

Mathematics Education
3 year
Hours per week – 2. semester:
Content (Syllabus outline)

Seminar leader prepares a sufficient number of short independent topics. Topics are handed out to students 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
S. Krantz: A primer of mathematical writing, American Mathematical Society, 1997.

Objectives and competences

The purpose of the course is to teach a student how to prepare a short presentation of a mathematical topic. As a part of the course the student will based on own experience and observing peers, acquire the ability to teach a class and prepare appropriate slides. They will learn what makes an understandable presentation and clearly written and structured seminar work.

Intended learning outcomes

Student learns to prepare a short presentation and to write a seminar paper. Gained experience will be of use during the course of study for other courses and later for work.

Learning and teaching methods

Student prepares two presentations in the duration of one school hour, where 30 minutes is used for presentation and 15 minutes for a discussion and question session. The emphasis is not on the mathematics of the topic but rather on the clear and well structured presentation of ideas and written work. Student has to write a short seminar work.


Seminar work

Grading: 6-10 pass, 5 fail (according to the rules of University of Ljubljana)

Lecturer's references

Tomaž Košir:
GRUNENFELDER, Luzius, KOŠIR, Tomaž, OMLADIČ, Matjaž, RADJAVI, Heydar. Finite groups with submultiplicative spectra. Journal of Pure and Applied Algebra, ISSN 0022-4049. [Print ed.], 2012, vol. 216, iss. 5, str. 1196-1206. [COBISS-SI-ID 16183385]
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]
George Mejak:
MEJAK, George. Eshebly tensors for a finite spherical domain with an axisymmetric inclusion. European journal of mechanics. A, Solids, ISSN 0997-7538. [Print ed.], 2011, vol. 30, iss. 4, str. 477-490. [COBISS-SI-ID 16025177]
MEJAK, George. Two scale finite element method. V: 21st International congress of theoretical and applied mechanics, 21st ICTAM 2004, Warsaw, Poland, August 15-21, 2004. CD-ROM proceedings. Warszawa: International union of theoretical and applied mechanics: = IUTAM, 2004, sM1S_11334. [COBISS-SI-ID 13217113]
MEJAK, George. Elasto-plastic torsion of composite bars with imperfect bonding. V: BATHE, Klaus-Jürgen (ur.). Computational fluid and solid mechanics : proceedings, Second MIT Conference on Computational Fluid and Solid Mechanics, June 17-20, 2003. Oxford: Elsevier Science, 2003, str. 436-438. [COBISS-SI-ID 12503641]
Bor Plestenjak:
GHEORGHIU, C. I., HOCHSTENBACH, Michiel E., PLESTENJAK, Bor, ROMMES, Joost. Spectral collocation solutions to multiparameter Mathieu's system. Applied mathematics and computation, ISSN 0096-3003. [Print ed.], 2012, vol. 218, iss. 24, str. 11990-12000. [COBISS-SI-ID 16484185]
MUHIČ, Andrej, PLESTENJAK, Bor. On the quadratic two-parameter eigenvalue problem and its linearization. Linear Algebra and its Applications, ISSN 0024-3795. [Print ed.], 2010, vol. 432, iss. 10, str. 2529-2542. [COBISS-SI-ID 15469913]
PLESTENJAK, Bor, BAREL, Marc van, CAMP, Ellen van. A Cholesky LR algorithm for the positive definite symmetric diagonal-plus-semiseparable eigenproblem. V: CHING, Wai-Ki (ur.). Second international conference on structured matrices : Hong Kong Baptist University, 08-11 June 2006, (Linear algebra and its applications, ISSN 0024-3795, Vol. 428, Issues 2-3, 2008). New York: North Holland, 2008, vol. 428, iss. 2-3, str. 586-599. [COBISS-SI-ID 14475097]
Sašo Strle:
OWENS, Brendan, STRLE, Sašo. A characterization of the Z [sup] n [oplus] Z([delta]) lattice and definite nonunimodular intersection forms. American journal of mathematics, ISSN 0002-9327, 2012, vol. 134, no. 4, str. 891-913. [COBISS-SI-ID 16408153]
GRIGSBY, J. Elisenda, RUBERMAN, Daniel, STRLE, Sašo. Knot concordance and Heegaard Floer homology invariants in branched covers. Geometry & topology, ISSN 1364-0380, 2008, vol. 12, iss. 4, str. 2249-2275. [COBISS-SI-ID 14892121]
OWENS, Brendan, STRLE, Sašo. A characterisation of the n<1>[oplus]<3> form and applications to rational homology spheres. Mathematical research letters, ISSN 1073-2780, 2006, vol. 13, iss. 2, str. 259-271. [COBISS-SI-ID 13873241]