UIINP01 Algebra I

Faculty of Philosophy and Science in Opava
Winter 2024
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
RNDr. Adam Hlaváč, Ph.D. (seminar tutor)
Mgr. Pavel Holba (seminar tutor)
RNDr. Jiřina Jahnová, Ph.D. (seminar tutor)
RNDr. Lenka Rucká, Ph.D. (seminar tutor)
RNDr. Šárka Vavrečková, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Timetable
Thu 13:05–14:40 R1
  • Timetable of Seminar Groups:
UIINP01/A: Mon 11:25–13:00 R1, L. Rucká
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.
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
  • - 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
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
Study Materials
The course can also be completed outside the examination period.
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/UIINP01