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Algebra I - NMUE033

Title:	Algebra I
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2019
Semester:	winter
E-Credits:	6
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Is provided by:	NALG087
Additional information:	http://www.karlin.mff.cuni.cz/~stanovsk/vyuka/zalg.htm

Class:	Učitelství matematiky
Classification:	Mathematics > Algebra Teaching > Mathematics
Incompatibility :	NALG026, NALG027, NALG087, NUMP019, NUMZ010
Interchangeability :	NALG026, NALG027, NALG087, NMAI063, NMUM206, NUMP019, NUMZ010
Is incompatible with:	NUMP019
Is interchangeable with:	NUMP019

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Annotation -

Last update: STANOVSK/MFF.CUNI.CZ (25.01.2008)

An introductory course on general algebraic structures, based on number theory and modular arithmetics. General concepts and properties of groups and domains are presented.

Literature -

Last update: T_KA (20.05.2009)

D. Stanovský, Základy algebry, http://www.karlin.mff.cuni.cz/~stanovsk/vyuka/zalg.htm

Procházka a kol.: Algebra, Academia 1990.

L. Bican: Algebra (pro učitelské studium), Academia, Praha 2001, ISBN 80-200-0860-8

Syllabus -

Last update: STANOVSK/MFF.CUNI.CZ (25.01.2008)

1. Partial order

2. Elementary number theory

3. Integral domains - definition, examples

4. Divisibility in domains - unique factorization domains, Euclidean domains, Gaussian integers, roots of polynomials

5. Universal algebras

6. Groups - definition, examples, basic structure theory, cyclic groups, Lagrange theorem, Burnside theorem, factorgroups