MU:MU10231 Algebra I - Course Information

MU10231 Algebra I

Extent and Intensity

0/0. 5 credit(s). Type of Completion: zk (examination).

Teacher(s)

Mgr. Jana Dvořáková, 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

• Computer Science and Technology (programme FPF, B1801 Inf)

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 (Winter 2016, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2016/MU10231