MU10215 Algebra I

Mathematical Institute in Opava
Winter 2014
Extent and Intensity
0/0. 6 credit(s). Type of Completion: zk (examination).
Guaranteed by
RNDr. Oldřich Stolín, 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 necessary for the further study of mathematics and for the course Algebra II.
Syllabus
  • 1. Assertions and proofs
    2. Sets, relations and maps
    3. Semigroups, monoids, groups
    4. Homomorphisms
    5. Rings and fields
    6. Permutations
    7. Matrices. Elementary operations
    8. Matrices. Algebraic properties
    9. Determinants
    10. Ordering and lattices
Literature
    recommended literature
  • M. Marvan. Algebra I. MÚ SU, Opava, 1999. URL info
  • M. Marvan. Algebra II. MÚ SU,, Opava, 1999. URL info
  • 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)
The course can also be completed outside the examination period.
Teacher's information
The basic requirement for the credit is to solve the credit exercises.
The exam has the written and the oral parts.
For passing the written part is is necessary to have at least 50 per cent points.
For a successful graduation the oral part it is necessary to prove at least basic knowledge of the taken subject.
  • Enrolment Statistics (recent)
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