MU20005 Algebra I

Mathematical Institute in Opava
Winter 2026
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
Mgr. Alexandra Trličíková (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Timetable
Tue 9:45–11:20 R1
  • Timetable of Seminar Groups:
MU20005/01: Tue 13:05–14:40 R1, A. Trličíková
Prerequisites (in Czech)
TYP_STUDIA(B)
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
A student knows basic notions, assertions, methods of proofs of assertions and algorithms and can use them for solutions of problems in Algebra.
Syllabus
- Assertions and proofs
- Matrices. Elementary operations
- Matrices. Algebraic properties
- Permutations
- Determinant
- Systems of linear equations
- Polynomials
- Groups, rings and fields
- Ordering and lattices
- Homomorphisms
- Vector spaces
- Vector subspaces
Literature
    required literature
  • M. Marvan. Algebra I. MÚ SU, Opava, 1999. URL info
  • M. Marvan. Algebra II. MÚ SU,, Opava, 1999. URL info
    recommended literature
  • J. T. Moore. Elements of Linear Algebra and Matrix Theory. McGraw Hill, New York, 1968. info
  • A. G. Kuroš. Kapitoly z obecné algebry. Academia Praha, 1968. info
  • J. Musilová, D. Krupka. Lineární a multilineární algebra. Univerzita J. E. Purkyně v Brně, Brno, 1989. info
Language of instruction
Czech
Teacher's information
To complete the course, it is necessary to obtain course credit and pass an exam. To obtain credit, one must score at least 60 % on each of the two consultation topics; there will be three options available for each topic. The exam consists of a written part and an oral part.
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 2020, Winter 2021, Winter 2022, Winter 2023, Winter 2024, Winter 2025.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2026/MU20005