Extreme problems theory
Course: Systems and methods of decision making
Structural unit: Faculty of Computer Science and Cybernetics
Title
Extreme problems theory
Code
ОК.06
Module type
Обов’язкова дисципліна для ОП
Educational cycle
Second
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
1 Semester
Number of ECTS credits allocated
4
Learning outcomes
To know the basic types of extreme problems and methods of solving extreme problems. To know the main modern achievements of the extreme problems theory. Be able to solve basic types of extreme problems. Be able to apply methods of extreme problems theory to models of complex systems and processes of different nature.
Form of study
Full-time form
Prerequisites and co-requisites
To know the foundations of mathematical analysis, algebra and geometry, differential equations, operations research, control theory, decision theory. Be able to solve typical problems from these courses.
Course content
To teach students special mathematical methods and procedures of system analysis of complex objects and systems, to instill in them the ability to effectively use existing algorithms for solving extreme problems.
Recommended or required reading and other learning resources/tools
Perestyuk MO, Stanzhitsky OM, Kapustyan OV Extreme problems: theory, examples, methods of solution. - K.: VPC "Kyiv University", 2019.
Moklyachuk MP Variational calculus. Extreme tasks. - K.: VPC "Kyiv University", 2010.
Kapustyan OA, Mazur OK Solvability of the optimal control problem with minimum energy for one parabolic boundary value problem with nonlocal boundary conditions. - Journal of Computational and Applied Mathematics, 2015. - № 3 (120). - P. 6 - 10.
Grigorkiv VS Optimal management in the economy. - Chernivtsi: ChNU, 2011. - 200 p.
Kapustyan O., Sukretna A. Methods of nonlinear analysis in mathematical economics. - K.: VPC "Kyiv University", 2011. - 213 p.
Planned learning activities and teaching methods
Lecture, practical training, individual training.
Assessment methods and criteria
Control work, individual work passing, exam.
Language of instruction
ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline