University of Calgary

MATH 315 - Algebra I - Winter 2019

Basic ring theory: rings and fields, the integers modulo n, Polynomial rings, polynomials over the integers and rationals, homomorphisms, ideals and quotients, principal ideal domains, adjoining the root of an irreducible polynomial; basic group theory: groups, examples including cyclic, symmetric, alternating and dihedral groups, subgroups, cosets and Lagrange's theorem, normal subgroups and quotients, group homomorphisms, the isomorphism theorems, further topics as time permits, e.g., group actions, Cayley's theorem.
This course may not be repeated for credit.


  • H(3-1T)


  • (formerly Pure Mathematics 315)


  • Mathematics 271 or 273.


  • Credit for Mathematics 315 and Pure Mathematics 317 will not be allowed.


This course will be offered next in Winter 2020.
Powered by UNITIS. More features.