MU:MU01905 Algebra I - Exercises - Course Information
MU01905 Algebra I - Exercises
Mathematical Institute in OpavaWinter 2017
- Extent and Intensity
- 0/2/0. 2 credit(s). Type of Completion: z (credit).
- Teacher(s)
- Mgr. Zuzana Roth, Ph.D. (seminar tutor)
- Guaranteed by
- doc. RNDr. Zdeněk Kočan, 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)
- Mathematics (programme MU, B1101)
- Course objectives
- In the course the students will be practising and extending of their knowledges obtained in the course Algebra I.
- Syllabus
- 1. Assertions and proofs
2. Sets, relations and maps
3. Matrices. Elementary operations
4. Matrices. Algebraic properties
5. Permutations
6. Determinants
7. Systems of linear equations
8. Polynomials
9. Semigroups, monoids, groups
10. Homomorphisms
11. Rings and fields
12. Ordering and lattices
- 1. Assertions and proofs
- 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 all demands for credits are determined by consideration of the tutorial lecturer.
- Enrolment Statistics (Winter 2017, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2017/MU01905