|Jan 21||Introduction to algebraic structures.|
|Jan 26, 28||Mathematical induction. Division Algorithm.|
|Feb 2, 4||Divisibility. Greatest Common Divisor. Unique factorization theorem.|
|Feb 9, 11||Congruences. Chinese Remainder Theorem.|
|Feb 16, 18||Congruences classes.|
|Feb 23, 25|| Definition of a group. Examples and basic properties of groups.
|Mar 15, 17|| Orders of elements. Cyclic groups. Isomorphisms.
|Mar 22, 24|| Isomorphisms (continued). Homomorphisms.
|Mar 29, 31|| Permutation groups I. Lagrange Theorem and classification of groups of small order.
|Apr 5,7||Cosets and Normal subgroups.|
|Apr 12||Permutations groups II.|
|Apr 19, 21|| Quotient Groups.
|Apr 26, 28|| Rings and ideals.
|May 3|| Quotient rings.