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Tuesday |
Thursday |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 26 Chapter 10: Group Homomorphisms Homework #7 due: Ch. 10: 1abe |
28 Chapter 10: Isomorphism Theorems |
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| 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 |
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| 16 Homework #10 due: Ch. 15: 2, 3bd, 8, 17, 19bc, 31 |
18 TEST #2 (Chapters 9, 10, 12, 15) |
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| 23 Chapter 15: Prime and Maximal Ideals |
25 Thanksgiving Break |
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| 30 Chapter 16: Rings of Polynomials Homework #11 due: Ch. 15: 29 |
2 Chapter 16: Irreducibility |
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| 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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