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Applied stability problems

ВК.4.02.03

Вибіркова дисципліна для ОП

First

2023/2024

5 Semester

3

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.

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

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.

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. ..

Lectures, laboratory work, consultations, independent work

- 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.

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