Infopaket

Dynamic system modeling

ОК.05

Обов’язкова дисципліна для ОП

Second

2022/2023

1 Semester

3

PLO2. Understanding of the principles and methods of analysis and evaluation of the range of tasks that contribute to the further development of effective use of information resources.

Full-time form

To successfully study the discipline the student must meet the following requirements: 1. Know chapters of mathematical analysis, basic concepts from the courses of ordinary differential equations, equations of mathematical physics, difference equations and algebra, and elements of matrix analysis. 2. Be able to conduct a qualitative study of ordinary differential equations in the plane and three-dimensional space, investigate scalar difference equations and equations on the plane, investigate functions and functionals to the extremum, calculate eigenvectors and eigenvalues, find inverse matrices, reduce the matrix to Jordan form solve systems of linear inhomogeneous equations. 3. Have skills in basic programming, the use of mathematical packages of applications, and numerical and analytical solutions to applied problems.

The purpose of the discipline is to teach students majoring in applied mathematics the ability to compose mathematical models of dynamic processes, to create abstract mathematical models of real systems and processes, and to develop theoretical and practical abilities in this area.

1. Khusainov D., Kharchenko I., Shatyrko A. Modeliuvannia dynamichnykh system. Navchalnii posibnyk. VPTs “Kyivskyi Universytet”, 2011. – 135c. 2. B. Puzha, D.Ya. Khusainov, V. Novotna, A.V. Shatyrko. Investigating of uniform by delay stability of nontrivial equilibrium point of on population model // Journal of Automation and Information Sciences – 2018, 50(9), p. 25-37 DOI: 10.1615/JAutomatInfScien.v50.i9.20

Lectures, seminars, independent work.

Semester assessment: The maximum number of points that can be obtained by a student is 60 points: Test work №1: - 20/12 points. Test work № 2: - 20/12 points. Current evaluation - 20/12 points. Final assessment in the form of an exam.

Ukrainian