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Methods of mathematical modeling

ДВС.2.04

Вибіркова дисципліна для ОП

First

2022/2023

7 Semester

3

LO01. Demonstrate knowledge and understanding of basic concepts, principles, and theories of fundamental and applied mathematics and use them in practice. LO11. Be able to apply modern technologies of programming and software development, software implementation of numerical and symbolic algorithms. LO15. Be able to organize their activities and get results within a limited time. PLO23.2. Be able to analyze independently the subject area and develop mathematical and structural-algorithmic models.

Full-time form

1. Be able to: formulate and solve initial-boundary value problems of mathematical physics, solve systems of linear algebraic equations, and have methods of numerical differentiation and integration. 2. Possess skills in practical construction and software implementation of algorithms and methods of classical computational mathematics in solving applied problems.

The purpose of the discipline: mastering the principles of constructing mathematical models of spatially distributed dynamic processes and phenomena, as well as mathematical modeling of their state in the conditions of the incompleteness of information about their external-dynamic state and methods of managing it.

1. Stoyan V.A. Matematychne modeliuvannia liniinykh, kvaziliniinykh i neliniinykh dynamichnykh system. – K.: VPTі "Kyivskyi Universytet", 2011. – 320 p. 2. Stoyan V.A. Modeliuvannia ta identifikatsiya dynamiky system z rozpodilenymy parametramy. – K.: VPTі "Kyivskyi Universytet", 2004. – 184 p. 3. Stoyan V.A. Osnovy laboratornoho modeliuvannia prostorovo rozpodilenykh dynamichnykh system. – K.: VPTі "Kyivskyi Universytet", 2017. – 118 p.

Lectures, laboratory works, independent work.

Semester assessment: The maximum number of points that can be obtained by a student is 60 points: 1. Practical work - 12/7 points. 2. Current assessment - 12/7 points. 3. Oral answers - 12/7 points. 4. Practical work - 12/7 points. 5. Oral answers - 12/8 points. Final assessment in the form of an exam: - the maximum number of points that can be obtained by a student is 40 points; - a form of conducting: written work. Types of tasks: 3 written tasks (2 theoretical questions of 10 points and 1 practical task - 20 points).

Ukrainian