Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Algebra (CŽV) - NMUM809

Title:	Algebra (CŽV)
Guaranteed by:	Department of Mathematics Education (32-KDM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	winter
E-Credits:	4
Hours per week, examination:	winter s.:1/1, colloquium [HT] summer s.:1/1, colloquium [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:	NMUM206
Additional information:	http://www.karlin.mff.cuni.cz/~stanovsk/vyuka/zalg.htm

Guarantor:	doc. RNDr. Jindřich Bečvář, CSc. RNDr. Eliška Pecinová, Ph.D.
Classification:	Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Is incompatible with:	NMUM206
Is interchangeable with:	NMUM206

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: JUDr. Dana Macharová (10.10.2012)

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: JUDr. Dana Macharová (10.10.2012)

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: JUDr. Dana Macharová (10.10.2012)

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