Differential Equations

Course: Computer Systems and Networks Engineering

Structural unit: Faculty of Radiophysics, Electronics and Computer Systems

Title
Differential Equations
Code
ОК 25
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
3 Semester
Number of ECTS credits allocated
4
Learning outcomes
Basic methods of integration of the ordinary differential equations, solving of the initial value problem and the boundary value problem, basic methods of solving the system linear differential equation, basic principles and probable results of study of stability of the stationary states of dynamic systems, main features of the resonance in oscillating system.
Form of study
Full-time form
Prerequisites and co-requisites
To learn the “Differential equations” subject the second-year student must know those chapters of mathematical analysis and linear algebra, which are presented to the first-year students in the “Higher Mathematics” subject.
Course content
In the “Differential Equations” subject the basic methods of solving of the ordinary differential equations (both linear and nonlinear) and the systems of linear differential equations are explained. A special attention is paid to those mathematical concepts and objects, which are used not only for the solving of differential equations, in particular, to the integral Laplace transform, Dirac delta function, Green function. The basic points of the theory of oscillations and the stability theory for dynamic systems are explained in brief.
Recommended or required reading and other learning resources/tools
1. Львов В. А., Косогор А. О., Попадюк Д. Л. Просто про складне: звичайні диференціальні рівняння : навч. посіб.– К. : ВПЦ "Київський університет", 2022. 153 с. 2. Кривошея С. А., Перестюк М. О., Бурим В. М. Диференціальні та інтегральні рівняння. Київ : Либідь, 2004, 407 с. 3. Самойленко А. М., Кривошея С. А., Перестюк М. О. Диференціальні рівняння в задачах. Київ : Либідь, 2003, 395 с. 4. Головач Г. П., Калайда О. Ф. Збірник задач з диференціальних та інтегральних рівнянь. Київ : Техніка, 1997, 285 с.
Planned learning activities and teaching methods
Lectures, seminars, unsupervised work.
Assessment methods and criteria
- Semester assessment. After each of two semantic modules the written test is carried out, the result of each test is scored from 0 to 30 points. -Final assessment. The written examination is carried out at the end of semester; the permit to examination is given if the subtotal result of two tests is no less then 30 points; examination test consists of 2 tasks and two problems, the performance of each task and solution of each problem is scored from 0 to 10 points. The result of learning of the subject is considered positive if the total score for semantic modules and exam exceeds 60 points, the score for exam must be higher than 20 points.
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Victor Anatoliyovych L’vov
Faculty of Computer Engineering
Faculty of Radiophysics, Electronics and Computer Systems

Departments

The following departments are involved in teaching the above discipline

Faculty of Computer Engineering
Faculty of Radiophysics, Electronics and Computer Systems