Course: Algebra I

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Course title Algebra I
Course code MU/10231
Organizational form of instruction no contact
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • DVOŘÁKOVÁ Jana, Mgr. Ph.D.
  • KOČAN Zdeněk, doc. RNDr. Ph.D.
Course content
1. Assertions and proofs 2. Sets, relations and maps 3. Semigroups, monoids, groups 4. Homomorphisms 5. Rings and fields 6. Permutations 7. Matrices. Elementary operations 8. Matrices. Algebraic properties 9. Determinants 10. Ordering and lattices

Learning activities and teaching methods
Recommended literature
  • A. G. Kuroš. Kapitoly z obecné algebry. Academia Praha, 1968.
  • J. Musilová, D. Krupka. Lineární a multilineární algebra. Univerzita J. E. Purkyně v Brně, Brno, 1989.
  • J. T. Moore. Elements of Linear Algebra and Matrix Theory. McGraw Hill, New York, 1968.
  • M. Marvan. Algebra II. MÚ SU,, Opava, 1999.
  • M. Marvan. Algebra I. MÚ SU, Opava, 1999.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Philosophy and Science in Opava Computer Science and Technology (1) Electrical engineering, telecommunication and IT 1 Winter