MU20005 Algebra I

Mathematical Institute in Opava
Winter 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
Mgr. Jan Tesarčík, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Timetable
Thu 13:05–14:40 R1
  • Timetable of Seminar Groups:
MU20005/01: Thu 10:35–12:10 R1, J. Tesarčík
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
    - Semigroups, monoids, groups, rings and fields
    - Ordering and lattices
    - 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. Musilová, D. Krupka. Lineární a multilineární algebra. Univerzita J. E. Purkyně v Brně, Brno, 1989. info
  • 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
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
To get the course-credit, either to satisfactorily consult specified topics or to obtain at least 70 % of points from 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.

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