| 2024.09.04 |
Groups and permutations |
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| 2024.09.06 |
Subgroups and automorphisms |
notes01 |
problems01 |
| 2024.09.09 |
Homomorphisms and actions |
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| 2024.09.11 |
Cosets and quotients |
notes02 |
problems02 |
| 2024.09.16 |
Isomorphisms, orbits, and stabilizers |
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solutions02 |
| 2024.09.18 |
Sylow theorems |
notes03 |
problems03 |
| 2024.09.23 |
Idiosyncratic break |
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solutions03 |
| 2024.09.25 |
Idiosyncratic break |
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| 2024.09.30 |
Truth and Reconciliation |
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| 2024.10.01 |
Small groups and simple groups |
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| 2024.10.02 |
Free groups, generators, and relations |
notes04 |
problems04 |
| 2024.10.07 |
Rings and fields |
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solutions04 |
| 2024.10.09 |
Isomorphisms and maximal ideals |
notes05 |
problems05 |
| 2024.10.14 |
Fall break |
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| 2024.10.16 |
Fall break |
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| 2024.10.21 |
Fractions and polynomials |
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solutions05 |
| 2024.10.23 |
Roots and Euclidean domains |
notes06 |
problems06 |
| 2024.10.28 |
GCDs and UFDs |
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solutions06 |
| 2024.10.30 |
Noetherian rings and factoring |
notes07 |
problems07 |
| 2024.11.04 |
Irreducibility |
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solutions07 |
| 2024.11.06 |
Modules |
notes08 |
problems08 |
| 2024.11.11 |
Products and sums |
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solutions08 |
| 2024.11.13 |
Free modules and vector spaces |
notes09 |
problems09 |
| 2024.11.18 |
Submodules and matrices |
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solutions09 |
| 2024.11.20 |
Modules over PIDs |
notes10 |
problems10 |
| 2024.11.25 |
Structure theorems |
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| 2024.11.27 |
Categories |
notes11 |
problems11 |
| 2024.12.02 |
Functors |
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| 2024.12.04? |
Universal properties |
notes12 |
problems12 |
| 2024.12.06 |
In-class exam |
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| 2024.12.20 |
Take-home exam |
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exam |
