13D081KAD - The Quality Analysis of Difference Equations
Course specification | ||||
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Course title | The Quality Analysis of Difference Equations | |||
Acronym | 13D081KAD | |||
Study programme | Electrical Engineering and Computing | |||
Module | ||||
Type of study | doctoral studies | |||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 9.0 | Status | elective | |
Condition | Mathematics 1, Mathematics 2 | |||
The goal | The objective of the course is to gain knowledge candidates about difference Eqs, master modern techniques of treating qualitative properties of solutions of difference Eqs, and the possibility of their application both in the theoretical and the practical problems posed by the practice in a variety of scientific and technical applications. There is a possibility of a preparation of PhD. | |||
The outcome | Candidates trained in the use of modern techniques of treating qualitative properties of solutions of difference equations, and the possibilities of their application in both theoretical as well as the practical problems posed by the practice in a variety of scientific and technical applications. There is a possibility of doctoral dissertations. | |||
Contents | ||||
Contents of lectures | Introduction. Calculus of finite differences. Basic not’s. First and higher order DE. Properties in qualitative analysis. Boundedness. Local and global stability. Global attractivity. Periodicity. Asymptotic behaviour and dynamics of solutions. l^p affiliation. Chaos & attractors. Examples and applications in science and eng. Nonstandard DE. DE Systems. Discrete calculus of variations. Partial DE. | |||
Contents of exercises | ||||
Literature | ||||
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Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
6 | ||||
Methods of teaching | Traditional lectures on board with the use of computers | |||
Knowledge score (maximum points 100) | ||||
Pre obligations | Points | Final exam | Points | |
Activites during lectures | 10 | Test paper | 25 | |
Practical lessons | Oral examination | 25 | ||
Projects | ||||
Colloquia | ||||
Seminars | 40 |