|
Schedule (tentative) — subject to change
| 8/23 |
§3.4 Composition series and the Hölder Program |
| 8/28, 8/30 |
§4 Group actions, emphasizing §4.5 Sylow Theorems;
rest in review
|
| 9/4, 9/6 |
§5 Direct and semidirect products and abelian groups,
emphasizing §5.5 semidirect products; rest in review |
| 9/11, 9/13 |
§6.1 p-groups, Nilpotent groups, solvable groups
§6.2 Groups of medium order
|
| 9/18, 9/20 |
§6.3 free groups, generator and relations
|
| 9/25, 9/27 |
§7 Introduction to rings, emphasizing §7.4 properties of ideals,
and §7.6 Chinese Remainder Theorem; rest in review |
| 10/2, 10/4 |
§7 ctd.
§8.1 Euclidean domains
|
| Fall
Break 10/6 – 10/9 |
| 10/11 |
Prelim in class — covering through §6.3
|
| 10/16, 10/18 |
§8.2 PIDs
§8.3 UFDs
|
| 10/23, 10/25 |
§9 Polynomial Rings, emphasizing Gauss' Lemma (in §9.3)
and Hilbert's Basis Theorem (in §9.6); rest in review / overview
|
| 10/30, 11/1 |
§§13.1, 13.2, 13.4, and 13.5: Field extensions
|
| 11/6 - 11/8 |
§10 Introduction to module theory, emphasizing tensor products (in §10.4)
and projective, injective and flat modules (in §10.5); rest in review / overview
|
| 11/13 - 11/15 |
§11.5 Tensor algebras, symmetric and exterior algebras
|
| 11/20 |
§12 Modules over PIDs
|
| Thanksgiving Break 11/21 – 11/25 |
| 11/27 - 11/29 |
§§15.1–3 commutative rings and algebraic geometry
|
|
Final Exam 12/6, 7:00pm–9:30pm, location t.b.a. — comprehensive
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