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Abstrakte algebra 352


 
Modulekode MAT 352
Kwalifikasie Voorgraads
Fakulteit Fakulteit Natuur- en Landbouwetenskappe
Module-inhoud

*Hierdie inligting is slegs in Engels beskikbaar.
Groups: Definition and examples, permutation group of a set, symmetry of a figure, subgroups, cyclic groups and dihedral groups, homomorphisms and isomorphisms. Quotient groups: Equivalence relations, cosets and Lagrange's theorem, normal subgroups and quotient groups, isomorphism theorems.Rings and fields: Rings, integral domains and fields, subrings and ring homomorphisms, polynomial rings, polynomial and Euclidean rings (division algorithm, Euclidean algorithm, unique factorization, factoring real and complex polynomials, factoring rational and integral polynomials). Geometrical constructions: Constructable numbers, constructability and extensions of Q, constructability and polynomials, classical problems.
Modulekrediete 15.00
Voorvereistes MAT 261
Kontaktyd 3 lesings per week, 1 besprekingsklas per week
Onderrigtaal Module word in Engels aangebied
Departement Wiskunde en Toegepaste Wiskunde
Aanbiedingstydperk Semester 1
Die inligting wat hier verskyn, is onderhewig aan verandering en kan na die publikasie van hierdie inligting gewysig word.. Die Algemene Regulasies (G Regulasies) is op alle fakulteite van die Universiteit van Pretoria van toepassing. Dit word vereis dat elke student volkome vertroud met hierdie regulasies sowel as met die inligting vervat in die Algemene Reëls sal wees. Onkunde betrefffende hierdie regulasies en reels sal nie as ‘n verskoning by oortreding daarvan aangebied kan word nie.

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