# Course Schedule and Problem Sets

The tentative schedule for the course is given below. I will update the schedule as necessary as the semester goes on.

Remember that the videos listed for each day should be watched before the meeting in order to understand that day's problem set. You can access the videos either from the calendar or from the Videos and lecture notes page. NB: all videos were produced by Øyvind Solberg and obtained from the 2020 course page for MA3203.

Week Tuesday Topic Tuesday Videos Tuesday Problem Set Friday Topic Friday Videos Friday Problem Set
11.1-15.1 Introduction none none Quivers and path algebras 1a, 1b, 1c, 1d, 1e Problem Set 1, Answers/Hints
18.1-22.1 Representations of quivers 2a, 2b, 2c, 2d Problem Set 2, Answers/Hints Representations of quivers 2e, 2f, 2g, 2h, 2i Problem Set 3 , Answers/Hints
25.1-29.1 Quivers with relations 3a, 3b no new problems Length, filtrations, and short exact sequences 4a, 4b, 4c Problem Set 4 , Answers/Hints
1.2-5.2 Composition series and exact sequences 4d, 4e, 4f Problem Set 5, Answers/Hints The Jordan-Holder Theorem 4g, 4h no new problems
8.2-12.2 Morphisms of finite length modules 4i, 4j, 4k Problem Set 6, Answers/Hints Extension closed collections, the radical of a ring 4l, 4m, 4n, 5a, 5b Problem Set 7, Answers/Hints
15.2-19.2 The radical of a ring 5c, 5d, 5e Problem Set 8, Answers/Hints (Left) artinian rings 5f, 5g, 5h, 5i no new problems
22.2-26.2 The radical of a module/representation 5j, 5k, 5l, 5m Problem Set 9, Answers/Hints Tops and essential epimorphisms 5n, 5o, 5p, 5q, 5r Problem Set 10, Answers/Hints
1.3-5.3 Tops and essential epimorphisms none no new problems Projective modules and projective covers 6a, 6b, 6c, 6d, 6e Problem Set 11, Answers/Hints
8.3-12.3 Projective modules and projective covers 6f, 6g, 6h, 6i Problem Set 12, Answers/Hints The Krull-Remak-Schmidt Theorem (projectives) 6j, 6k, 6l no new problems
15.3-19.3 The Krull-Remak-Schmidt Theorem (general) and artin algebras 7a,7b, 7c, 8a, 8b Problem Set 13, Answers/Hints Categories and Functors 9a, 9b, 9c Problem Set 14, Answers/Hints
22.3-26.3 Categories and functors 9d, 9e, 9f, 9g no new problems Categories and Functors none no new problems
29.3-2.4 NO LECTURE (break) NO LECTURE (break)
5.4-9.4 Categories and functors none no new problems Projectivization 10a, 10b, 10c, 10d Problem Set 15, Answers/Hints
12.4-16.4 Basic algebras 11a, 11b, 11c, 11d, 11e Problem Set 16, Answers/Hints Projectivization and basic algebras none no new problems
19.4-23.4 Duality 12a, 12b, 12c no new problems Duality 12d, 12e Problem Set 17, Answers/Hints
26.4-30.4 Injective modules 13a, 13b, 13c, 13d, 13e Problem Set 18, Answers/Hints Injective modules no new problems
3.5-7.5 Time for questions none no new problems Time for questions none no new problems