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13D081FAP - Functional analysis and applications

Course specification
Course title Functional analysis and applications
Acronym 13D081FAP
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 on the level of compulsory courses at ETF
      The goal The course presents a theory of metric spaces and approximations. The goal of the course is learnig this classical theory and its applications and gaining knowledge of properties and techniques related to applications in electrical engineering etc.
      The outcome The student is competent to apply knowledge of concepts of functional analysis and especially the theory of linear operators and fundamental results in the field of Hilbert spaces and their applications
      Contents
      Contents of lectures Definition of metric spaces, complete spaces, Banach spaces, linear vector spaces, linear operators, linear functional, the principle and the principle of uniform convergence , the principle of open mappings, Hilbert space, approximations. Applications in electrical engineering and computer science, especially in signal processing.
      Contents of exercises Applications in electrical engineering and computer science, especially in signal processing.
      Literature
      1. S.Aljancic: Introduction to real and functional analysis. Gradjevinska knjiga, Beograd 1979.
      2. Z.Djurovic,B.Kovacevic,S.Stankovic: Signals and Systems, Academic mind, Belgrade 2008
      3. A.Đorđević, D.Tošić: Microwave. Academic mind, Belgrade 2006.
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      6
      Methods of teaching
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures Test paper 70
      Practical lessons Oral examination
      Projects
      Colloquia
      Seminars 30