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Highlighted topic is coming up soon. |
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Date Planned |
Date Actual |
Topic |
| 1 | 1-2 | 1⋅1 Two games |
| 2 | 2-3 | 1⋅2 Sets, 1⋅3 Orderings |
| 3 | 3-4 | 1⋅4 Well-ordering and division, 1⋅6 Polynomial division |
| 4 | 5 | 2⋅1 From symmetry to arithmetic, 2⋅2 Properties and structure |
| 5 | 2⋅3 Isomorphism, catch-up | |
| 6 | 3⋅1 Polynomials, real and complex numbers, 3⋅2 The roots of unity | |
| 7 | 3⋅3 Cyclic groups; the order of an elements, 3⋅4 An introduction to finite rings and fields | |
| 8 | 3⋅5 Matrices, 3⋅6 Symmetry in polygons | |
| 9 | Catch-up, Test #1 | |
| 10 | 4⋅1 Subgroups, 4⋅2 Ideals | |
| 11 | 4⋅3 The basis of an ideal, 4⋅4 Equivalence relations and classes | |
| 12 | 4⋅5 Clockwork rings and ideals, 4⋅6 Partitioning groups and rings | |
| 13 | 4⋅7 Lagrange’s Theorem, 4⋅8 Quotient rings and groups | |
| 14 | 4⋅9 The Isomorphism Theorem, catch-up | |
| 15 | 5⋅1 The Euclidean Algorithm, 5⋅2 A card trick | |
| 16 | 5⋅3 The Fundamental Theorem of Arithmetic, 5⋅4 Multiplicative clockwork groups | |
| 17 | Final Exam |