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13D081KOMB - Combinatorics and Applications

Course specification
Course title Combinatorics and Applications
Acronym 13D081KOMB
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 Mathematical education at the undergraduate level
      The goal Acquiring knowledge of selected topics of combinatorics necessary in research in modern discrete mathematics and its applications in computer science and electrical engineering.
      The outcome Students will be able to use methods of combinatorics in research and applications in discrete mathematics, computer science and electrical engineering.
      Contents
      Contents of lectures Introduction. Classical combinatorics. Finite geometries. Block-design. Association schemes. Codes. Latin squares. Hadamard matrices. System of distinct representatives. Matroids. Groups and combinatorial enumerations. Various aspects of applications of combinatorics in computer science and electrical engineering.
      Contents of exercises
      Literature
      1. D. Cvetković, S. Simić: Kombinatorika i grafovi, pregled i prilozi, Računarski fakultet, Beograd i CET, Beograd, 2006.
      2. D. Cvetković, S. Simić: Kombinatorika klasična i moderna, drugo izmenjeno i dopunjeno izdanje, Naučna knjiga, Beograd 1990.
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      6
      Methods of teaching Lectures.
      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