13D081KMF - Canonical Matrix Forms with Applications to Electrical Engineering
Course specification | ||||
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Course title | Canonical Matrix Forms with Applications to Electrical Engineering | |||
Acronym | 13D081KMF | |||
Study programme | Electrical Engineering and Computing | |||
Module | Applied Mathematics | |||
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 aim of the course is to provide students with theoretical and practical knowledge on using the techniques of canonical forms to the related problems in electrical engineering. The complexity of the algorithms for calculating canonical forms (Hermite, Smith, rational and Jordan) is considered. We also discuss their application to different areas of electrical engineering. | |||
The outcome | The outcome of the course is solid mathematical support for the practical application of the canonical form on the problems in some areas of electrical engineering. | |||
Contents | ||||
Contents of lectures | Rings. Modules. Modules over a Principal ideal Domain. Normal Forms of Matrices (Hermite, Smith, Rational and Jordan). Minimal and Characteristic Polynomials. Eigenvalues and Eigenvectors. Generalized Eigenvectors. Algebraic and Geometric Multiplicities.Invariant Factors. Elementary Divisors. Systems of Linear Differential Equations. Application of canonical matrix form to electrical engineering. | |||
Contents of exercises | The practical part of teaching involves the same teaching units as theoretical contents. We will illustrated mentioned topics by the examples and by using the appropriate mathematical software. | |||
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 | Formal lecture, practicals ang group work. | |||
Knowledge score (maximum points 100) | ||||
Pre obligations | Points | Final exam | Points | |
Activites during lectures | 25 | Test paper | 50 | |
Practical lessons | Oral examination | |||
Projects | ||||
Colloquia | 25 | |||
Seminars |