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MATH 331 Winter 04 Lecture Summary


Week Monday Tuesday Lab Wednesday Friday
1 (Jan 5-9) Introduction, Preliminaries (Chapter 0) Lab 0 (Review) Preliminaries, Introduction to Groups (Chapter 2) Introduction to Groups, Dihedral Group (Chapter 1)
2 (Jan 12-16) Subgroups (Chapter 3) Lab 1 Subgroups (Chapter 3) Cyclic Groups (Chapter 4)
3 (Jan 19-23) Holiday Lab 2 Cyclic Groups (Chapter 4) Cyclic Groups (Chapter 4)
4 (Jan 26-30) Permutation Groups (Chapter 5) Lab 3 Permutation Groups (Chapter 5) Isomorphisms (Chapter 6)
5 (Feb 2-6) Review Test 1 Isomorphisms (Chapter 6) Class Cancelled
6 (Feb 9-13) Cosets (Chapter 7) Lab 5 Cosets External Direct Product (Chapter 8)
7 (Feb 16-20) External Direct Product, Introduction to Cryptography Lab 6 Normal Subgroup and Factor Groups (Chapter 9) Factor Groups, Internal Direct Product (Chapter 9)
8 (Feb 23-27) Homomorphisms (Chapter 10) Lab 7 Homomorphisms (Chapter 10), Fundamental Theorem of Finite Abelian Groups (Chapter 11) More on Abelian Groups (Chapter 11), Introduction to Rings (Chapter 12)
9 (Mar 1-5) Review Test 2 Rings (Chapter 12) Integral Domains, Fields, Characteristic (Chapter 13)
10 (Mar 8-12) Characteristic, Ring Homomorphisms (Chapter 15) Lab 8 Ring Homomorphisms, Division Algorithm for Polynomial Rings (Chapter 16) Review
11 (Mar 15) Review no class Final Exam no class



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