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Schedule (tentative) — subject to change
| 8/23 |
1 - Symmetries of the Tetrahedron
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| 8/28, 8/30 |
2 - Axioms for Groups
3 - Numbers
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| 9/4, 9/6 |
4 - Dihedral Groups
5 - Subgroups and Generators
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| 9/11, 9/13 |
6 - Permutations |
| 9/18, 9/20 |
7 - Isomorphisms
8 - Plato's Solids and Cayley's Theorem
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| 9/25, 9/27 |
9 - Matrix Groups
10 - Products
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| 10/2, 10/4 |
Prelim in class on 10/2 on Chapters 1–8
11 - Lagrange's Theorem
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| Fall
Break 10/6 – 10/9 |
| 10/11 |
12 - Partitions
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| 10/16, 10/18 |
13 - Cauchy's Theorem
14 - Conjugacy
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| 10/23, 10/25 |
15 - Quotient Groups
16 - Homomorphisms
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| 10/30, 11/1 |
17 - Actions, Orbits, and Stabilizers
18 - Counting Orbits
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| 11/6, 11/8 |
19 - Finite Rotation Groups
t.b.a.
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| 11/13, 11/15 |
t.b.a.
Essay presentations
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| 11/20 |
Essay presentations
Essays due in class
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| Thanksgiving Break 11/21 – 11/25 |
| 11/27, 11/29 |
Essay presentations
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Final Exam 12/5, time 7:00pm–9:30pm, location t.b.a. — comprehensive
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