Fall 2010 Abstract Algebra Calendar

 
Tuesday
Thursday
Aug. 24

26

Chapters 1, 2: Introduction; Algebraic Structures
Sept. 31

Chapter 3: Binary Operations; Groups
2

Chapter 3: Groups
7
Chapter 3: Groups
Homework #1 due: Ch. 3: 2, 7, 10, 13, 14, 21
9

Chapter 3: Subgroups
14
Chapter 4: Cyclic Groups
Homework #2 due: Ch. 3: 28, 30, 31, 32, 39, 40
16

Chapter 4: The Group C* and Roots of Unity
21
Chapter 5: Permutation Groups
Homework #3 due: Ch. 3: 43, and Ch. 4: 4bd, 5, 20, 23c, 24
23

Chapter 5: Symmetric, Alternating and Dihedral Groups
28
Chapter 6: Cosets and Lagrange's Theorem
Homework #4 due: Ch. 5: 1bd, 2dijk, 3bd, 10, 23, 31, 34
30

Chapter 6: Cosets and Lagrange's Theorem
Oct. 5
Chapter 9: Isomorphisms
Homework #5 due: Ch. 6: 5bg, 12, 14, 18, 21
7

TEST #1 (Chapters 3, 4, 5, 6)
12

Chapter 9: Cayley's Theorem
14

Chapter 9: Direct Products
19
Chapter 10: Normal Subgroups and Factor Groups
Homework #6 due: Ch. 9: 2, 5, 9, 16, 22
21

Reading Day
26
Chapter 10: Group Homomorphisms
Homework #7 due: Ch. 10: 1abe
28

Chapter 10: Isomorphism Theorems
Nov. 2
Chapter 12: Finite Abelian Groups
Homework #8 due: Ch. 10: 5bde, 9, 26c, 32
4
Chapter 15: Rings

9
Chapter 15: Integral Domains and Fields
Homework #9 due: Ch. 12: 2, 6
11
Chapter 15: Ring Homomorphisms and Ideals

16

Homework #10 due: Ch. 15: 2, 3bd, 8, 17, 19bc, 31
18

TEST #2 (Chapters 9, 10, 12, 15)
23

Chapter 15: Prime and Maximal Ideals
25

Thanksgiving Break
30
Chapter 16: Rings of Polynomials
Homework #11 due: Ch. 15: 29
2

Chapter 16: Irreducibility
Dec. 7
Chapter 17: Integral Domains
Homework #12 due: Ch. 16: 3d, 5bc, 9, 23
9
Chapters 19 and 20; Conclusion
14

FINAL EXAM 1:00 – 3:50 p.m.
16

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