Schedule

1/4: Introduction and set theory: Chapter 1 and appendix A
1/6: The integers: appendix B

1/9: Mathematical induction: appendix C
1/11: Operations, Ch 2 HW #1 DUE
1/13: Definition of group, Ch 3

1/16: Martin Luther King Day--no class
1/18: Elementary properties of groups, Ch 4 HW #2 DUE
1/20: Catch up

1/23: Subgroups, Ch. 5
1/25: Functions, Ch. 6
1/27: Permutation groups, Ch. 7, HW #3 DUE

1/30: Catch up/Review
2/1: Finite permutations, Ch. 8, MIDTERM 7 PM
2/3: Group isomorphisms, Ch. 9

2/6: Order of elements, Ch. 10
2/8: Cyclic and dihedral groups, Ch. 11, HW #4 DUE
2/10: Midterm Reading Period--no class

2/13: Partitions and equivalence relations, Ch. 12,
2/15: Cosets, Ch. 13, HW #5 DUE
2/17: Group homomorphisms, Ch. 14

2/20: Quotient groups, Ch. 15
2/22: Quotient groups, Ch. 15, HW #6 DUE
2/24: Fundamental homomorphism theorem, ch. 16

2/27: Sylow's Theorem, Ch. 16
3/1: Definition of rings, subrings, Ch. 17, HW #7 DUE
3/3: Ideals and ring homomorphisms, Ch. 18

3/6: Quotient rings, Ch. 19
3/8: Prime and maximal ideals, Ch. 19
3/10: Catch up, HW #8 DUE

Last updated Jan. 3, 2005

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