Mathematical and computer modeling

Course: Applied Mathematics

Structural unit: Faculty of Computer Science and Cybernetics

Title
Mathematical and computer modeling
Code
ДВС.2.07
Module type
Вибіркова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2022/2023
Semester/trimester when the component is delivered
8 Semester
Number of ECTS credits allocated
6
Learning outcomes
PLO12. Solve particular engineering problems and/or problems that arise in at least one subject area: sociology, economics, ecology, and medicine. LO 19. Collect and interpret relevant data and analyze complexities within their specialization to make judgments that reflect relevant social and ethical issues. PLO 21.1. Understand the main areas of applied mathematics and computer science, to the extent necessary for the development of general professional mathematical disciplines, applied disciplines, and the use of their methods in the chosen profession.
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 methods of numerical differentiation and integration. 2. Master 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: master the principles of building mathematical models of spatially distributed dynamic processes and phenomena, as well as dynamic models with aftereffects and mathematical modeling of their state in conditions of incomplete information about their external dynamic state, and develop methods for managing these processes.
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. Modeliuvannia ta identyfikatsiia dynamiky system z rozpodilenymy parametramy. – K.: VPTS "Kyivskyi Universytet", 2004. – 184 s. 3. Stoyan V.A. Osnovy laboratornoho modeliuvannia prostorovo rozpodilenykh dynamichnykh system. – K.: VPTS "Kyivskyi Universytet", 2021. – 174 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 - 20/12 points. 2. Current evaluation - 20/12 points. 2. Test work № 2 - 20/12 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 of conducting: written work. - Types of tasks for each module: 1 theoretical question.
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Volodymyr A. Stoyan
Complex systems modelling
Faculty of Computer Science and Cybernetics
Denys Yakhievych Khusainov
Complex systems modelling
Faculty of Computer Science and Cybernetics