13M081SPEF - Special Functions
| Course specification | ||||
|---|---|---|---|---|
| Course title | Special Functions | |||
| Acronym | 13M081SPEF | |||
| Study programme | Electrical Engineering and Computing | |||
| Module | Applied Mathematics, Audio and Video Communications, Audio and Video Technologies, Biomedical and Environmental Engineering, Biomedical and Nuclear Engineering, Computer Engineering and Informatics, Electronics, Electronics and Digital Systems, Energy Efficiency, Information and communication technologies, Information and Communication Technologies, Microwave Engineering, Nanoelectronics and Photonics, Power Systems - Networks and Systems, Power Systems - Renewable Energy Sources, Power Systems - Substations and Power Equipment, Signals and Systems, Software Engineering, System Engineering and Radio Communications | |||
| Type of study | master academic studies | |||
| Lecturer (for classes) | ||||
| Lecturer/Associate (for practice) | ||||
| Lecturer/Associate (for OTC) | ||||
| ESPB | 6.0 | Status | elective | |
| Condition | Knowledge of mathematical analysis, complex analysis, theory of functions, combinatorial analysis | |||
| The goal | Introducing students to orthogonal polynomials and Bessel functions and their applications in electronics, electromagnetics, telecommunications and quantum mechanics. We will study the linear and nonlinear differential equations | |||
| The outcome | Train students to recognize and resolve problems from electrical engineering in which they appear Special functions and the corresponding differential equations as a mathematical model | |||
| Contents | ||||
| Contents of lectures | Orthogonal polynomials, Bessel functions and polynomials, hypergeometric functions, Laplace differential equation, Special numbers, Application in the combinatorial analysis | |||
| Contents of exercises | Solving various problems and equations using special functions. | |||
| Literature | ||||
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| Number of hours per week during the semester/trimester/year | ||||
| Lectures | Exercises | OTC | Study and Research | Other classes |
| 3 | 1 | |||
| Methods of teaching | . 15 hours teaching + 15 hours tutorials on blackboard with exercises + 7.5 hours consulting related to home works, exam at the end of the unit. Students should spend 42 hours in learning and solving exercises on their own; 1.5 hours per week during semester and additional 20 hours afterwards. | |||
| Knowledge score (maximum points 100) | ||||
| Pre obligations | Points | Final exam | Points | |
| Activites during lectures | 0 | Test paper | 70 | |
| Practical lessons | 0 | Oral examination | 0 | |
| Projects | 0 | |||
| Colloquia | 30 | |||
| Seminars | 0 | |||