Infopaket

Methods of system modeling

ВК.4.05.02

Вибіркова дисципліна для ОП

First

2023/2024

7 Semester

3

PLO2. Use modern mathematical apparatus of continuous and discrete analysis, linear algebra, and analytical geometry to solve theoretical and applied problems in the design and implementation of informatization objects. PLO3. To use knowledge of regularities of random phenomena, their properties and operations on them, models of random processes, and modern software environments to solve problems of statistical data processing and build predictive models. PLO7. Understand the principles of modeling organizational and technical systems and operations; use operations research methods, solving single- and multi-criteria optimization problems of linear, integer, nonlinear, and stochastic programming. PLO9. To develop software models of subject environments, to choose a programming paradigm from the standpoint of convenience and quality of application for the implementation of methods and algorithms for solving problems in the field of computer science.

Full-time form

To successfully study the discipline "Methods of systems modeling" the student must meet the following requirements: 1. Successful mastering of courses: 1) Mathematical analysis. 2) Linear algebra. 3) Differential equations. 4) Probability theory and mathematical statistics. 5) Programming. 2. Knowledge: 1) Theoretical bases and methods of construction, verification, and research of qualitative characteristics of systems. 2) Principles of building stationary, dynamic, and simulation models. 3. Skills: 1) Solve systems of linear algebraic equations. 2) Solve differential equations. 3) Analyze the systems being modeled. 4) Test statistical hypotheses. 4. Possession of: 1) Basic skills in programming and using application packages for numerical analysis (WOLFRAM MATHEMATICA, EXCEL, Python). 2) Skills at the application of mathematical apparatus in the construction and analysis of mathematical and simulation models.

The purpose of the discipline is to acquire theoretical and practical knowledge in the field of systems modeling. Mastering the methods and algorithms of construction and analysis of mathematical and simulation models of systems operation. Study of methods of modeling systems and queuing networks.

1. Stoyan V.A. Matematychne modeliuvannia liniinykh, kvaziliniinykh i neliniinykh dynamichnykh system / V.A. Stoyan. Kyiv.: VPTs «Kyivskyi universytet», 2011. 320 s. 2. Stetsenko I.V. Modeliuvannia system: navch. posib. / I.V. Stetsenko. Cherkas. derzh. tekhnol. un-t. Cherkasy : ChDTU, 2010. 399 s. 3. Tomashevskyi V.M. Modeliuvannia system. / V.M. Tomashevskyi. K: Vydavnycha hrupa VNU, 2005. 352 s. 4. Chuiko H.P. Matematychne modeliuvannia system i protsesiv: navch. posib. / H.P. Chuiko, O.V. Dvornyk, O.M. Yaremchuk. Mykolaiv : Vyd-vo ChDU imeni Petra Mohyly, 2015. 244 s. 5. Velykodnyi S.S. Modeliuvannia system: konspekt lektsii. / S.S. Velykodnyi. Odeskyi derzhavnyi ekolohichnyi universytet, 2018. 186 s. 6. Pasichnyk V.V. Modeliuvannia skladnykh system. Posibnyk / V.V. Pasichnyk, Ya.I. Vykliuk, R.M. Kaminskyi. Lviv: Vydavnytstvo "Novyi Svit 2000". 2017. 404 s.

Lectures, off-class work, study of literature sources recommended.

Semester evaluation: A maximum number of points that can be received by a student: 100 points: 1. Lab work №1: - 20/12 points. 2. Lab work №2: - 20/12 points. 3. Lab work №3: - 20/12 points. 4. Lab work №4: - 20/12 points. 5. Test №1: - 20/12 points. Final evaluation (credit): According to paragraphs. 4.6.1 and 7.1.5 "Regulations on the organization of the educational process at the Taras Shevchenko National University of Kyiv " credit is based on the current control (see semester assessment) as the sum of grades/scores on all successfully evaluated learning outcomes; scores below the minimum threshold are not included to the final score.

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