MU10216 Algebra II

Mathematical Institute in Opava
Summer 2015
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 which takes up the course Algebra I, students get basic knowledge about linear algebra necessary for the further study of mathematics.
Syllabus
  • 1. Vector spaces
    2. Vector subspaces
    3. Liner maps
    4. Matrix of a linear map
    5. Eigenvectors
    6. Scalar product
    7. Bilinear and quadratic forms
    8. First decomposition of a linear transformation
    9. Second decomposition of a linear transformation
    10. Tensors
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)
  • Permalink: https://is.slu.cz/course/sumu/summer2015/MU10216