MU:MU01113 Algebra I - Exercises - Course Information
MU01113 Algebra I - Exercises
Mathematical Institute in OpavaWinter 2008
- 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
- Témata:
- 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 2008, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2008/MU01113