Applied stability problems
Course: Informatics
Structural unit: Faculty of Computer Science and Cybernetics
Title
Applied stability problems
Code
ВК.4.02.03
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
5 Semester
Number of ECTS credits allocated
3
Learning outcomes
PLO 2. To use the modern mathematical apparatus of continuous and discrete analysis, linear algebra, analytical geometry, in professional activities to solve problems of a theoretical and applied nature in the process of designing and implementing informatization objects.
Form of study
Prerequisites and co-requisites
In order to successfully study the discipline "Applied stability problems", a student must
meet the following requirements:
1. Successful completion of courses:
1. Mathematical analysis.
2. Algebra and geometry.
3. Differential equations.
2. Knowledge:
1. Theoretical foundations of properties of solutions of differential equations.
2. Numerical methods of finding solutions of differential equations and systems
differential equations.
3. Skill:
1. To solve the basic problems of the theory of differential equations.
2. Conduct research on the properties of functions.
3. Apply the methods of linear algebra.
4. Ownership:
1. Basic programming skills and use of application packages.
2. Basic principles of solving linear systems of differential equations. 3.
Skills of integration and differentiation of functions, research of functions on
extreme
Course content
The educational discipline "Applied problems of sustainability" is a selective discipline of the educational and professional training program for specialists at the first (bachelor's) level of higher education in the field of knowledge 12 "Information technologies" within the educational and professional program "Informatics". It is taught in the 5th semester in the amount of 90 hours. (3 ECTS credits), in particular: lectures - 28 hours, laboratory classes - 14 hours, consultations - 2 hours, independent work - 46 hours. The course includes 2 control papers and 2 independent papers.
Recommended or required reading and other learning resources/tools
Main:
1. Pіchkur V.V., Kapustian O.V., Sobchuk V.V. Teorіia dinamіchnikh sistem. – Luts-k: Vezha-Druk,
2020. – 348 s.
2. Bashniakov O.M., Pіchkur V.V. Zadacha sintezu v teorії keruvannia: Navchal-nii posіbnik. – K.:
Vid-vo "Stal-", 2012. – 116 s.
3. Demidovich B.P. Lektsii po matematicheskoi teorii ustoichivosti. - SPb.: Lan-, 2008. – 480
s.
4. Garashchenko F.G., Pіchkur V.V. Prikladnі zadachі teorії stіikostі. – K.: VPТs "Kiїvs-kii
unіversitet", 2014. – 142 s.
5. Samoilenko A.M., Perestiuk M.O., Parasiuk І.O. Diferentsіal-nі rіvniannia. – K.: Libіd-,
2003. – 600 s.
6. Khalil H.K. Nonlinear systems. – NJ.: Prentice Hall, 2002. – 766 p.
..
Planned learning activities and teaching methods
Lectures, laboratory work, consultations, independent work
Assessment methods and criteria
- semester assessment:
The maximum number of points that can be obtained by a student: 100 points:
1. Control paper No. 1: RN 1.1, RN 2.1, RN 4.1 – 30/18 points.
2. Control work #2: RN 1.2, RN 2.1, RN 4.1 – 30/18 points.
3. Independent work No. 1: RN 2.2, RN 3.1, RN 3.2, RN 4.2 – 10/6 points.
4. Independent work No. 2: RN 2.2, RN 3.1, RN 3.2, RN 4.2 – 10/6 points.
5. Current assessment: PH 1.1, PH 1.2, PH 2.1, PH 2.2, PH 3.1, PH 3.2, PH 4.1, PH 4.2. – 20/12 points
- final assessment in the form of credit. It is awarded based on the results of students' work throughout the semester and does not provide for additional assessment measures for successful students.
Language of instruction
Ukrainian
Lecturers
This discipline is taught by the following teachers
Departments
The following departments are involved in teaching the above discipline