MS1FMP - Fuzzy Metric Spaces
| Course specification | ||||
|---|---|---|---|---|
| Course title | Fuzzy Metric Spaces | |||
| Acronym | MS1FMP | |||
| Study programme | Electrical Engineering and Computing | |||
| Module | Applied Mathematics | |||
| 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 classical mathematical analysis, notion of metric spaces and function theory | |||
| The goal | Introducing students with spaces with non-deterministic distances, fuzzy metric and probabilistic Menger spaces, properties of mappings defined on these spaces, nonlinear conditions and applications in nonlinear fields of science. | |||
| The outcome | Students are capable to form iterative methods as optimal for solving various types of equations that come out of actual problems in physics, electrical engineering and other sciences and have non-deterministic (parametric) definitions. | |||
| Contents | ||||
| Contents of lectures | Definition of fuzzy metrics. Completeness and compactness of sets in fuzzy metric spaces. Continuity and uniform continuity of functions. Fixed points of mappings and iterative methods as consequences. Optimization problems. | |||
| Contents of exercises | Implementation of iterative methods using 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 |
| 3 | 1 | |||
| 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 | 50 | |
| Practical lessons | 0 | Oral examination | 20 | |
| Projects | 0 | |||
| Colloquia | 30 | |||
| Seminars | 0 | |||