13D081FMP - Fazi metricki prostori sa primenama u elektrotehnici i racunarstvu

Course specification
Course title
Acronym 13D081FMP
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 Knowledge of classical mathematical analysis, notion of metric spaces and function theory
      The goal Introducing students with spaces with non-deterministic distances, especially with fuzzy metric and intuicionistic fuzzy metric spaces, their structure, properties of mappings on these spaces and applications of functional analysis on spaces with fuzzy structure in optimization problems, iteration methods and applications in electrotechnics and computer 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 of lectures Fuzzy and intuicionistic fuzzy metrics. Completeness, precompactness, compactness of sets in fuzzy metric spaces. Characterizations of completeness. Continuity and uniform continuity of functions. Fixed points of mappings on fuzzy metric spaces and iterative methods. Convexness in fuzzy metric spaces and applications to optimization problems. Applications in electrotechnics.
      Contents of exercises Implementation of iterative methods using mathematical software.
      1. S. Jesic, Theory of functions on Fuzzy metric spaces, script, Belgrade 2006.
      2. Chaos, Solitons and Fractals, scientific journal on SCI list, following current scientific articles
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      Methods of teaching
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures Test paper 50
      Practical lessons Oral examination 20
      Colloquia 30