Infopaket

Mathematical Problems of Analysis and Synthesis of Complex Systems

ВК.2.03

Вибіркова дисципліна для ОП

First

2024/2025

6 Semester

4

LO 2. Be able to use basic principles and methods of mathematical, complex and functional analysis, linear algebra and number theory, analytical geometry, and differential equations, including partial differential equations, probability theory, mathematical statistics and random processes, numerical methods. LO 5. Be able to develop and use in practice algorithms related to the approximation of functional dependencies, numerical differentiation and integration, solving systems of algebraic, differential and integral equations, solving boundary value problems, finding optimal solutions. PLO 22.2. Have knowledge of the mathematical modeling and optimal management fundamentals, to the extent necessary for the development of applied disciplines and use the relevant knowledge in the chosen profession.

Full-time form

To successfully study the discipline "Problems of analysis and synthesis of Systems" the student must meet the following requirements: Know: 1. theoretical bases and methods of construction, verification, and research of qualitative characteristics of mathematical models. 2. principles of application of methods of simulation modeling and self-organization of mathematical models. Be able to: 1. investigate the quantitative and qualitative characteristics of mathematical models. 2. formulate mathematical optimization problems for such models. Have the skills: 1. basic skills in using MATLAB and STATISTICA application packages. 2. in English at a level not lower than Intermediate.

The aim of the course is to master methods for constructing, verifying, and studying the qualitative characteristics of mathematical models, and to apply them to the formulation and solution of modeling and optimization problems of complex systems.

1. Bielov Yu.A., Khusainov T.D., Shatyrko A.V. Strukturne modeliuvannia v dynamichnykh systemakh. Visnyk Kyiv Un-tu. Kibernetyka. Vyp. 7, Kyiv, 2007. pp. 4-7. 2. William F. Sharpe, Gordon J. Alexander, Jeffery V. Bailey, Prentice Hall, 2018. – Investment analysis. – 962 p. 3. Kyrylych V.M. Rekursyvni metody dynamichnoi ekonomiky. /V.M. Kyrylych, V.A. Kozytskyi. – Lviv: VTs LNU imeni Ivana Franka, 2012. – 84 p. 4. Kulian V.R. Metody optymalnoho keruvannia v zadachakh dyversyfikatsii portfelia invectytsii. Visnyk KNU imeni Tarasa Shevchenka. S.: kibernetyka. – vyp. 1(15), 2015. – pp. 18-32. 5. Kulian V.R. Matematychne modeliuvannia ta optymizatsiia finansovo-ekonomichnykh protsesiv. Kurs lektsii. [Elektronnyi resurs]. Rezhym dostupu www.195.68.210.50/moodle/. – 2014. – 84 p. 6. Kulian V.R., Yunkova O.O. Matematychne modeliuvannia ta optymizatsiia finansovo-ekonomichnykh protsesiv. Navchalnyi posibnyk. K.: «Kyivskyi universytet», 2016. – 112 p.

Lectures, independent work, elaboration of recommended literature, homework.

Semester Assessment: The maximum number of points a student can earn is 100: 1. Test No. 1: 50/30 points. 2. Test No. 2: 50/30 points.

Ukrainian