#
FI:MV008 Algebra I - Course Information

## MV008 Algebra I

**Faculty of Informatics**

Autumn 2013

**Extent and Intensity**- 2/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
**Teacher(s)**- doc. RNDr. Libor Polák, CSc. (lecturer)

doc. Mgr. Michal Kunc, Ph.D. (seminar tutor) **Guaranteed by**- doc. RNDr. Libor Polák, CSc.

Faculty of Informatics

Supplier department: Faculty of Science **Timetable**- Thu 14:00–15:50 G124
**Prerequisites**- (
**MB005**Foundations of mathematics ||**MB101**Linear models ||**MB201**Linear models B ) && !**MB008**Algebra I

Prerequisites:`MB005`Foundations of mathematics. **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**- there are 8 fields of study the course is directly associated with, display
**Course objectives**- After this course a student will be able to deal with the basic algebraic structures like monoids and groups and will understand calculating roots and irreducibility of polynomials. He/she will cope with an application in language theory.
**Syllabus**- Groups (permutation groups, Cayley's theorems, subgroups and normal subgroups, quotient groups, homomorphisms, products, classification of cyclic groups).
- Polynomials over
**C**,**R**,**Q**(multiplicity of zeros and the derivative, irreducible polynomials, Euklid's algorithm). - Rings (ideals, factor rings, fields, skewfields).

**Literature**- ROSICKÝ, J.
*Algebra, grupy a okruhy*. 3. vyd. Brno: Masarykova univerzita, 2000. 140 pp. ISBN 80-210-2303-1. info - PROCHÁZKA, Ladislav.
*Algebra*. 1. vyd. Praha: Academia, 1990. 560 s. info

- ROSICKÝ, J.
**Teaching methods**- Once a week a standard lecture with a stress on motivation and examples.
**Assessment methods**- A written exam has tree parts: a completion of a text concerning (on advance) given theoretical issues, a calculation of a transformation monoid, and 3 tests problems where the students show the understanding the basics. It takes two hours. One half of possible points is needed for a success.
**Language of instruction**- Czech
**Follow-Up Courses****Further comments (probably available only in Czech)**- Study Materials

The course is taught annually.

General note: Předmět byl dříve vypisován pod kódem MB008. **Listed among pre-requisites of other courses****MA009**Algebra II

(MB008||MV008||program(N-IN)||program(N-AP)||program(N-SS))

**Teacher's information**- http://www.math.muni.cz/~polak/algebra-I.html

- Enrolment Statistics (Autumn 2013, recent)
- Permalink: https://is.muni.cz/course/fi/autumn2013/MV008