FI:MB008 Algebra I - Course Information

MB008 Algebra I

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)

Guaranteed by

doc. RNDr. Libor Polák, CSc.
Faculty of Informatics

Timetable

Fri 11:00–12:50 A107

Prerequisites

! M008 Algebra I &&! M508 Algebra I &&( M005 Foundations of mathematics || MB005 Foundations of mathematics || MB101 Mathematics I )
Prerequisites: M005 Foundations of mathematics.

Course Enrolment Limitations

The course is only offered to the students of the study fields the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Informatics (programme FI, B-AP)
• Informatics with another discipline (programme FI, B-BI)
• Informatics with another discipline (programme FI, B-FY)
• Informatics with another discipline (programme FI, B-GE)
• Informatics with another discipline (programme FI, B-GK)
• Informatics with another discipline (programme FI, B-CH)
• Informatics with another discipline (programme FI, B-IO)
• Informatics with another discipline (programme FI, B-MA)
• Informatics with another discipline (programme FI, B-SO)
• Informatics with another discipline (programme FI, B-TV)
• Informatics (programme FI, B-IN)
• Upper Secondary School Teacher Training in Physical Education (programme FSpS, M-TV)
• Upper Secondary School Teacher Training in Informatics (programme FI, M-SS)

Course objectives

We introduce here the basic algebraic structures: monoids, groups, rings, fields and we study their properties. We pay attention to calculations with polynomials.

Syllabus

• Groups (permutation groups, Cayley's theorems, subgroups and normal subgroups, factorgroups, 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. 3rd ed. Brno: Masarykova univerzita, 2000, 140 pp. ISBN 80-210-2303-1. info
• PROCHÁZKA, Ladislav. Algebra. 1. vyd. Praha: Academia, 1990, 560 s. info

Assessment methods (in Czech)

Standardni prednaska s pisemnou zkouskou ve zkouskovem období.

Language of instruction

Czech

Follow-Up Courses

• MA009 Algebra II

Further comments (probably available only in Czech)

The course is taught annually.

Teacher's information

http://www.math.muni.cz/~polak/algebra-I.html

• Enrolment Statistics (Autumn 2006, recent)
  
• Permalink: https://is.muni.cz/course/fi/autumn2006/MB008