Course: Algebra I

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Course title Algebra I
Course code MU/10131
Organizational form of instruction Lecture
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 3
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
Course availability The course is available to visiting students
  • KOČAN Zdeněk, doc. RNDr. Ph.D.
Course content
1. Assertions and proofs 2. Sets, relations and maps 3. Matrices. Elementary operations 4. Matrices. Algebraic properties 5. Permutations 6. Determinants 7. Systems of linear equations 8. Polynomials 9. Semigroups, monoids, groups 10. Homomorphisms 11. Rings and fields 12. 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
Mathematical Institute in Opava Mathematical Methods in Economics (2) Economy 1 Winter
Faculty of Philosophy and Science in Opava Computer Science and Technology (1) Electrical engineering, telecommunication and IT 1 Winter