Theory of Application of ordinary differential equations
Description: The content of the discipline covers the study of the basics of the theory of periodic solutions of nonlinear equations, the theory of equations with a discontinuous right-hand side and the application of the theory of Lie groups. The presentation of the materials is based on the basic concepts, ideas and methods of the following basic sections: functional analysis, algebra and probability theory, which have an impact on the problems and nature of research.
Amount of credits: 5
Пререквизиты:
- Analysis, number theory and approximation
Course Workload:
| Types of classes | hours |
|---|---|
| Lectures | 15 |
| Practical works | 30 |
| Laboratory works | |
| SAWTG (Student Autonomous Work under Teacher Guidance) | 30 |
| SAW (Student autonomous work) | 75 |
| Form of final control | Exam |
| Final assessment method |
Component: Component by selection
Cycle: Base disciplines
Goal
- Study of the main directions of the theory of ordinary differential equations and practical methods of solving equations.
Learning outcome: knowledge and understanding
- Know the basics of matrix differential equations, the basics of Lyapunov stability theory.
Learning outcome: applying knowledge and understanding
- Apply Lie group theories to the solution of ordinary differential equations.
Learning outcome: formation of judgments
- Forming judgments to obtain an analysis of examples of the application of Lie theory, etc.
Learning outcome: communicative abilities
- Тhe ability to work in a team to effectively solve practical tasks based on knowledge of mathematical methods.
Learning outcome: learning skills or learning abilities
- Demonstrate the high efficiency of the analysis of the application of methods in the study and solution of various tasks.
