Mathematical modeling

Course: Applied Mathematics

Structural unit: Faculty of Computer Science and Cybernetics

Title
Mathematical modeling
Code
ННД.16
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
7 Semester
Number of ECTS credits allocated
5
Learning outcomes
PLO1. Demonstrate knowledge and understanding of basic concepts, principles, and theories of fundamental and applied mathematics and use them in practice. PLO13. Solve particular engineering problems and/or problems that arise in at least one subject area: sociology, economics, ecology, and medicine. PLO16. Be able to organize their activities and get results within a limited time. PLO19. Communicate effectively on information, ideas, problems, and solutions with professionals and society.
Form of study
Full-time form
Prerequisites and co-requisites
1. Be able to formulate and solve initial-boundary value problems of mathematical physics, solve systems of linear algebraic equations, and master the 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.
Course content
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.
Recommended or required reading and other learning resources/tools
1. Stoyan V.A. Matematychne modeliuvannia liniinykh, kvaziliniinykh i neliniinykh dynamichnykh system. – K.: VPTS "Kyivskyi Universytet", 2011. – 320 s. 2. Stoyan V.A. Modeliuvannya ta identyfikatsiia dynamiky system z rozpodilenymy parametramy. – K.: VPTS "Kyivskyi Universytet", 2004. – 184 s. 3. Stoyan V.A. Osnovy laboratornoho modeliuvannya prostorovo rozpodilenykh dynamichnykh system. – K.: VPTS "Kyivskyi Universytet", 2017. – 118 s.
Planned learning activities and teaching methods
Lectures, laboratory works, independent work.
Assessment methods and criteria
Semester assessment: The maximum number of points that can be obtained by a student is 60 points: 1. Test work № 1 - 12/7 points. 2. Current assessment - 12/7 points. 3. Oral answers - 12/7 points. 4. Test work № 2 - 12/7 points. 5. Testing students' knowledge - 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; - form and types of tasks: written work. Types of tasks: 3 written tasks (2 theoretical questions of 10 points and 1 practical task - 20 points).
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Sergii D. Voloshchuk
Complex systems modelling
Faculty of Computer Science and Cybernetics
Volodymyr A. Stoyan
Complex systems modelling
Faculty of Computer Science and Cybernetics