P. J. Šafárik University in Košice - Faculty of Science P. J. Šafárik University in Košice Faculty of Science PF UPJŠ 2026/2027 14690075 O DPO ÚMV/DPO/22 Diploma thesis and its defence 16 State examination – defense (Single degree study, master II. deg., Full-Time form) 26.02.2026 19.04.2022 8 Person responsible for the delivery, development and quality of the study programme prof. RNDr. Katarína Cechlárová, DrSc. katarina.cechlarova@upjs.sk A 558 EFMm Economic and Financial Mathematics -1 present 1434 ADUImAj Data Science and Artificial Intelligence -1 present 1347 MOm matematická optimalizácia -1 present 1260 ADUIm Data Science and Artificial Intelligence -1 present II. present true II. <_L_> Recommended literature

The recommended literature is determined individually in accordance with the topic of the diploma thesis.

 <_PA_> Conditions for completion of course

The diploma thesis is the result of the student's own work. It must not show elements of academic fraud and must meet the criteria of good research practice defined in the Rector's Decision no. 21/2021, which lays down the rules for assessing plagiarism at Pavol Jozef Šafárik University in Košice and its components. Fulfillment of the criteria is verified mainly in the process of supervision and in the process of thesis defense. Failure to do so is reason for disciplinary action.

 <_PJ_> Language, which knowledge is needed to pass the course

Slovak

 <_SO_> Brief outline of the course

1. Elaboration of the diploma thesis in accordance with the instructions of the supervisor.

2. Presentation of the results of the diploma thesis before the examination commission.

3. Answering questions related to the topic of the diploma thesis within the discussion.

 <_VV_> Learning outcomes

The diploma thesis demonstrates mastery of extended theory and professional terminology of the field of study, acquisition of knowledge, skills and competencies in accordance with the declared profile of the graduate of the study program, as well as the ability to apply them creatively in solving selected field problems. Student demonstrates the ability of independent professional work in terms of content, formal and ethical. Further details on the diploma thesis are determined by Directive no. 1/2011 on the basic requirements of final theses and the Study Regulations of UPJŠ in Košice.

 A 12 75.0 B 1 6.25 C 2 12.5 D 0 0.0 E 1 6.25 FX 0 0.0 16 6 14681357 S MSE ÚMV/MSE/14 Mathematical methods in economics, finance and insurance 4 State examination course (Single degree study, master II. deg., Full-Time form) 26.02.2026 29.04.2026 8 Person responsible for the delivery, development and quality of the study programme prof. RNDr. Katarína Cechlárová, DrSc. katarina.cechlarova@upjs.sk A 558 EFMm Economic and Financial Mathematics -1 present II. present true II. <_PA_> Conditions for completion of course

Acquiring the required number of credits in the structure defined by the study plan.

 <_PJ_> Language, which knowledge is needed to pass the course

Slovak

 <_SO_> Brief outline of the course

The state examination is performed in a form of a debate with the emphasis on one topic of the following courses: ÚMV/MPA/19, ÚMV/NPR/19, ÚMV/APS/10, ÚMV/MMF/10 , ÚMV/THR/22, ÚMV/MTE/22 .

1. Probability distributions of random vectors and their characteristics.

2. Types of convergence of random variables and limit theorems.

3. Markov chains and processes.

4. Modelling queueuing systems.

5. Measuring dependence of random variables and regression models.

6. Analysis of variance and covariance.

7. Time series analysis.

8. Portfolio theory, characteristics of portfolio and modelling financial markets.

9. Exchange economy with infinitely divisible goods, core and equilibrium.

10. Exchange economy with indivisible goods, algorithms.

11. Games of two players.

12. Cooperative games of n players.

 <_VV_> Learning outcomes

Evaluation of student‘s competences with respect to the profile of the graduate.

 A 8 28.57 B 7 25.0 C 8 28.57 D 4 14.29 E 1 3.57 FX 0 0.0 28 6