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.
- Mathematics 271 or 273 is strongly recommended as preparation for this course.
- One of Mathematics 213 or 221.
- Credit for both Pure Mathematics 317 and 315 will not be allowed.
This course will be offered next in Winter 2018