13E082OPA - Selected Topics in Real and Complex Analysis
| Course specification | ||||
|---|---|---|---|---|
| Course title | Selected Topics in Real and Complex Analysis | |||
| Acronym | 13E082OPA | |||
| Study programme | Electrical Engineering and Computing | |||
| Module | Electronics and Digital Systems, Information and Communication Technologies, Physical Electronics, Physical Electronics - Biomedical and Environmental Engineering, Physical Electronics - Biomedical and Nuclear Engineering, Physical Electronics - Nanoelectronics and Photonics, Power Engineering, Signals and Systems, Telecommunications and Information Technologies | |||
| Type of study | bachelor academic studies | |||
| Lecturer (for classes) | ||||
| Lecturer/Associate (for practice) | ||||
| Lecturer/Associate (for OTC) | ||||
| ESPB | 3.0 | Status | elective | |
| Condition | ||||
| The goal | Introducing students with more advances topics in real and complex analysis with applications in vocational subjects of Electrical Engineering. | |||
| The outcome | Student is capable to apply Fourier and Z transformations on functions in various fields of Electrical Engineering, to determine branching points, Riemann surface, form branch cut, allocate branch of multiform function, perform integration of multiform function with different choices of model of Riemann surfaces and application on solving real integrals. | |||
| Contents | ||||
| Contents of lectures | Systems of orthogonal functions and generalized Fourier series. Discrete and fast Fourier transformation with applications. Z transformation, connection to Laurent series. Convexity of n-dimensional real functions. Complex multiform function. Notion and change of argument. Branches, Riemann surfaces and integration of multiform functions, application to solving real integrals. | |||
| Contents of exercises | Through examples, tasks and problems student learns how to apply theorems and basic concepts that are learnt through theoretical contents. Especially students are prepared how to solve problems that are occurring in Electrical Engineering. | |||
| Literature | ||||
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| Number of hours per week during the semester/trimester/year | ||||
| Lectures | Exercises | OTC | Study and Research | Other classes |
| 1 | 1 | 0.5 | ||
| Methods of teaching | Combination of traditional presentation on blackboard, slides, communication of students through internet and individual work with students while working on home work and explanation of current topics. Discussion about home work during semester, colloquium at the end of semester. | |||
| Knowledge score (maximum points 100) | ||||
| Pre obligations | Points | Final exam | Points | |
| Activites during lectures | 0 | Test paper | 0 | |
| Practical lessons | 50 | Oral examination | 50 | |
| Projects | ||||
| Colloquia | 0 | |||
| Seminars | 0 | |||