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Highlighted topic is coming up soon. |
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Week Planned |
Week Actual |
Topic |
| 1 | 1 | Introduction; Sets and Relations |
| 2 | 2-3 | Division; Linear Algebra |
| 3 | 3-4 | “Real,” “Imaginary,” and “Complex” numbers; catch-up |
| 4 | 4-5 | From integers and monomials to monoids; Isomorphism |
| 5 | 5-6 | Direct Products; Absorption and the Ascending Chain Condition |
| 6 | 6-7 | Catch-up; Groups |
| 7 | 7-8 | The symmetries of a triangle; Cyclic groups and the order of an element |
| 8 | 8-9 | The roots of unity; Catch-up |
| 9 | 9 | Test #1; Subgroups |
| 10 | 10 | Cosets; Lagrange’s Theorem; Quotient groups |
| 11 | 11 | “Clockwork” groups; Catch-up |
| 12 | 12 | Homomorphisms; Consequences of isomorphism |
| 13 | The Isomorphism Theorem; Automorphisms and groups of automorphisms | |
| 14 | Permutations; Cycle notation | |
| 15 | Dihedral Groups; Cayley’s Theorem | |
| 16 | Catch-up | |
| 17 | Final Exam |