University of Calgary

PMAT 315 - Algebra I - Winter 2018

Basic ring theory: rings and fields, the integers modulon, 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, group actions, Cayley's theorem.
This course may not be repeated for credit.


  • H(3-1T)


  • Mathematics 271 or 273 is strongly recommended as preparation for this course.


  • Mathematics 211 or 213.


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


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