Introduction to text problems. Mathematical formulation of the problem. Analysis of implicit assumptions.

Mathematical analysis of real life problems (such as: interest rates, basics of game theory, problems in recreational mathematics, simple statistical paradoxes, election paradoxes and similar problems in social sciences).

Number theory and its aplication to RSA.

# Mathematics in practice

P. Potočnik: Zapiski predavanj iz Matematike v praksi. samozal., Ljubljana, 2011. http://www.fmf.uni-lj.si/~potocnik/Ucbeniki/MaPra-zapiski.pdf

J. A. Paulos: A Mathematician Reads the Newspaper. Anchor Books, New York, 1997.

J. Kovič: Znate rešiti sami? DMFA založništvo, 1996.

M. Gardner: Aha! pa te imam : paradoksi za napenjanje možganov in razvedrilo, Državna založba Slovenije, 1992.

Students acquire knowledge about some examples of application of mathematics in real-life problems.

Knowledge and understanding:

Students will learn how to use mathematical theory in concrete, real-life situations

Application:

The accuired knowledge is applicable when solving mathematical problems, as well as in the nonacademic environment.

Reflection:

Students will reflect the acquired knowledge.

Transferable skills:

Techniques of solving problems, that students will learn, are generally applicable throughout the study programme.

Lectures, exercises, homeworks, consultations

Type (examination, oral, coursework, project):

written exam

Grading: 1-5 (fail), 6-10 (pass) (according to the Statute of UL)

Primož Potočnik:

POTOČNIK, Primož. Tetravalent arc-transitive locally-Klein graphs with long consistent cycles. European journal of combinatorics, ISSN 0195-6698, 2014, vol. 36, str. 270-281. [COBISS-SI-ID 16862041]

POTOČNIK, Primož, SPIGA, Pablo, VERRET, Gabriel. Cubic vertex-transitive graphs on up to 1280 vertices. Journal of symbolic computation, ISSN 0747-7171, 2013, vol. 50, str. 465-477. [COBISS-SI-ID 16520537]

POTOČNIK, Primož. Edge-colourings of cubic graphs admitting a solvable vertex-transitive group of automorphisms. Journal of combinatorial theory. Series B, ISSN 0095-8956, 2004, vol. 91, no. 2, str. 289-300. [COBISS-SI-ID 13087321]