Topics in practical mathematics

Practical Mathematics
3 year
first or second
Hours per week – 1. or 2. semester:
Content (Syllabus outline)

The course is intended for introducing students to topics which are interesting due to recent theoretical findings, methodological breakthroughs or for their applicative value, and are not included into the existing curriculum. The purpose of the course is to include visiting established experts, researchers and lecturers in the teaching process on FMF. The specific topic is determined yearly and depends on the specifics of the invited lecturer.


Temeljna literatura se predpiše vsako leto posebej glede na vsebino in predloge izbranega predavatelja.
Determined yearly, with respect to the current topic of the course.

Objectives and competences

The goal of the course is to introduce basic methodological concepts as well as practical implementations and the use of specific recent approaches and technologies in computer and information science

Intended learning outcomes

Knowledge and understanding:
A broader overview and understanding of the field of study, and of up to date methods and concepts.
Applying current approaches and techniques from the specific field of practical mathematics.
Understanding the advantages of the chosen approaches in solving specific practical tasks.
Transferable skills:
Solving complex problems, designing complex systems.

Learning and teaching methods

Lectures, exercises, usage of distance learning techniques, home works, consultations


The grade is given according to solved home works and a project
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

Matija Lokar:
LOKAR, Matija, KOKOL-VOLJČ, Vlasta. Projekt EdUmatics - kako pomagati učiteljem matematike pri vpeljavi IKT v poučevanje = Project EdUmatics - how to support math teachers to integrate technology within their classrooms. V: RAJKOVIČ, Vladislav (ur.), BERNIK, Mojca (ur.), URBANČIČ, Tanja (ur.). Vzgoja in izobraževanje v informacijski družbi : zbornik povzetkov referatov 15. mednarodne multikonference Informacijska družba - IS 2012, 12. oktober 2012 = Education in information society : book of abstracts of the 15th International Multiconference Information Society - IS 2012, 12th October 2012, Ljubljana, Slovenia. Kranj: Moderna organizacija, 2012, str. 58-59. [COBISS-SI-ID 16557657]
MARKOVIČ, Katja. Izdelava vodičev za uporabo programa GeoGebra : diplomska naloga. Ljubljana: [K. Markovič], 2011. 73 f., ilustr. [COBISS-SI-ID 16189529]
LOKAR, Matija. Designing tasks for CAS/DGS classrooms. V: TIME 2010, Technology and its Integration into Mathematics Education, July 6th-10th, 2010, Málaga, Spain. Proceedings of TIME 2010 : Technology and its Integration into Mathematics Education. Málaga: Universidad de Málaga, 2011, 17 str. [COBISS-SI-ID 15643993]
Emil Žagar:
JAKLIČ, Gašper, KOZAK, Jernej, VITRIH, Vito, ŽAGAR, Emil. Lagrange geometric interpolation by rational spatial cubic Bézier curves. Computer Aided Geometric Design, ISSN 0167-8396, 2012, vol. 29, iss. 3-4, str. 175-188. [COBISS-SI-ID 16207449]
KOZAK, Jernej, ŽAGAR, Emil. On geometric interpolation by polynomial curves. SIAM journal on numerical analysis, ISSN 0036-1429, 2004, vol. 42, no. 3, str. 953-967. [COBISS-SI-ID 13398617]
ŽAGAR, Emil. On G [sup] 2 continuous spline interpolation of curves in R [sup] d. BIT, ISSN 0006-3835, 2002, vol. 42, no. 3, str. 670-688. [COBISS-SI-ID 12027993]