MU:MU01113 Algebra I - Exercises - Course Information

MU01113 Algebra I - Exercises

Extent and Intensity

0/1/0. 1 credit(s). Type of Completion: z (credit).

Teacher(s)

Mgr. Jana Dvořáková, Ph.D. (seminar tutor)

Guaranteed by

Mgr. Jana Dvořáková, Ph.D.
Mathematical Institute in Opava

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

• Applied Mathematics (programme MU, B1101)
• Applied Mathematics in Risk Management (programme MU, B1102)
• Geometry (programme MU, M1101)
• Mathematical Analysis (programme MU, M1101)
• Mathematical Methods in Economics (programme MU, B1101)
• Mathematics (programme MU, B1101)
• Secondary School Teacher Traning in Physics and Mathematics (programme FPF, M1701 Fyz)
• Secondary School Teacher Training in Mathematics (programme FPF, M7504)
• Secondary school teacher training in general subjects with specialization in Mathematics (programme FPF, M7504)

Course objectives (in Czech)

Předmět je určen k případnému dalšímu procvičení a prohloubení znalostí získaných v předmětu Algebra I - cvičení (kredity A).

Syllabus (in Czech)

• Témata:
  1. Tvrzení a důkazy
  2. Množiny, relace a zobrazení
  3. Pologrupy, monoidy, grupy
  4. Homomorfismy
  5. Pole
  6. Permutace
  7. Matice. Elementární úpravy
  8. Matice. Algebraické vlastnosti
  9. Determinanty
  10. Uspořádání a svazy
  11. Vektorové prostory
  12. Vektorové podprostory

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.

• Enrolment Statistics (Winter 2009, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2009/MU01113