Mathematics in practice

2022/2023
Programme:
Practical Mathematics
Year:
1 year
Semester:
first
Kind:
mandatory
ECTS:
4
Language:
slovenian
Hours per week – 1. semester:
Lectures
2
Seminar
0
Tutorial
1
Lab
1
Content (Syllabus outline)

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.

Readings

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.

Objectives and competences

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

Intended learning outcomes

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.

Learning and teaching methods

Lectures, exercises, homeworks, consultations

Assessment

Type (examination, oral, coursework, project):
written exam
Grading: 1-5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

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]