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DS2OPA - Selected Topics in Algebra

Course specification
Course title Selected Topics in Algebra
Acronym DS2OPA
Study programme Electrical Engineering and Computing
Module
Type of study doctoral studies
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB 9.0 Status elective
      Condition
      The goal Introduce students to important notions and facts of some selected topics of algebra.
      The outcome Provide students with the ability for further work in some selected areas of algebra and applications of this knowledge in other areas of electrical engineering and computer science.
      Contents
      Contents of lectures Relations, equivalence and partial order, minimality and induction, axiom of choice. Lattices and Boolean algebras. Groups, normal subgroups and factor groups. Semigroups, representation by transformations. Rings, fields, finite fields. Universal algebras, homomorphism, isomorphism, congruence. Automata.
      Contents of exercises
      Literature
      1. D. Cvetković, S. Simić: Diskretna matematika, Prosveta, Niš, 1996. (Original title)
      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 0 Test paper 70
      Practical lessons 0 Oral examination 0
      Projects 0
      Colloquia 0
      Seminars 30