MAT 423-01 Tentative Schedule

Highlighted topic is coming up soon.

We are one and a half weeks behind schedule, and there are a couple of things I have to teach that are not in the schedule.
I'll probably have to skip a few lesser matters. :-(

Date	Topic
Week of Jan 15	The natural numbers, the integers.
Week of Jan 22	Modular arithmetic, polynomials with rational coefficients.
Week of Jan 29	Factorization of polynomials, rings.
Week of Feb 5	Subrings and unity, integral domains and fields.
Week of Feb 12	Polynomials over a field, ideals, ring homomorphisms, Test 1 assigned.
Week of Feb 19	Mardi Gras holiday, the kernel, Test 1 due.
Week of Feb 26	Rings of cosets, the isomorphism theorem for rings.
Week of Mar 5	Maximal and prime ideals, the Chinese Remainder Theorem.
Week of Mar 12	Spring Break.
Week of Mar 19	Symmetries of figures in the plane, symmetries of figures in space, abstract groups.
Week of Mar 26	Subgroups, cyclic groups.
Week of Apr 2	Group homomorphisms, group isomorphisms.
Week of Apr 9	Permutations and Cayley's Theorem, more about permutations.
Week of Apr 16	Cosets and Lagrange's Theorem, groups of cosets.
Week of Apr 23	The Isomorphism Theorem for groups, the alternating groups.
Week of Apr 30	Fundamental Theorem for Finite Abelian Groups, solvable groups.
May 11	Final exam due, 1·30p.