| 2025.09.03 |
Groups and permutations |
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| 2025.09.08 |
Subgroups and automorphisms |
notes01 |
problems01 |
| 2025.09.10 |
Homomorphisms and actions |
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| 2025.09.15 |
Cosets and quotients |
notes02 |
problems02 |
| 2025.09.17 |
Isomorphisms, orbits, and stabilizers |
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| 2025.09.22 |
Sylow theorems |
notes03 |
problems03 |
| 2025.09.24 |
Small groups and simple groups |
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| 2025.09.29 |
Free groups, generators, and relations |
notes04 |
problems04 |
| 2025.10.01 |
Rings and fields |
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| 2025.10.06 |
Isomorphisms and maximal ideals |
notes05 |
problems05 |
| 2025.10.08 |
Fractions and polynomials |
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Fall break |
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| 2025.10.20 |
Roots and Euclidean domains |
notes06 |
problems06 |
| 2025.10.22 |
GCDs and UFDs |
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| 2025.10.27 |
Noetherian rings and factoring |
notes07 |
problems07 |
| 2025.10.29 |
Irreducibility |
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| 2025.11.03 |
Modules |
notes08 |
problems08 |
| 2025.11.05 |
Products and sums |
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| 2025.11.10 |
Free modules and vector spaces |
notes09 |
problems09 |
| 2025.11.12 |
Submodules and matrices |
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| 2025.11.17 |
Modules over PIDs |
notes10 |
problems10 |
| 2025.11.19 |
Structure theorems |
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| 2025.11.24 |
Categories |
notes11 |
problems11 |
| 2025.11.26 |
Functors |
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| 2025.12.01 |
Universal properties |
notes12 |
problems12 |
| 2025.12.10 |
In-class exam |
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| 2025.12.18 |
Take-home exam |
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exam |
