UIINK01 Algebra I

Faculty of Philosophy and Science in Opava
Winter 2024
Extent and Intensity
14/0/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
RNDr. Lenka Rucká, Ph.D. (lecturer)
RNDr. Šárka Vavrečková, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
In the course students get basic knowledge about linear algebra.
Learning outcomes
A student knows basic notions, assertions, methods of proofs of assertions and algorithms and can use them for solutions of problems in Algebra.
Syllabus
  • 1. Assertions and proofs
  • 2. Sets, relations, mappings
  • 3. Matrices. Elementary operations
  • 4. Matrices. Algebraic properties
  • 5. Permutations
  • 6. Determinant
  • 7. Systems of linear equations
  • 8. Polynomials
  • 9. Semigroups, monoids, groups
  • 10. Homomorphisms
  • 11. Rings and fields
  • 12. Ordering and lattices
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
Teaching methods
lectures, class consultations
Assessment methods
To get the course-credit, either to satisfactorily consult specified topics and to pass the written tests.
To pass the exam, to prove at least basic knowledge of the taken subject on the written and the oral parts of the examination.
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Information on the extent and intensity of the course: Přednáška 14 HOD/SEM.
The course is also listed under the following terms Winter 2019, Winter 2020, Winter 2021, Winter 2022, Winter 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2024/UIINK01