General Information | Syllabus | HW Assignments |
---|
Lectures | Sections in Text | Brief Description |
---|---|---|
Week 1 | 11.1, 11.2, 10.1 | Linear Algebra (old and new perspectives), modules and examples |
Week 2 | 10.2, 10.3, 10.5 | Module isomorphism theorems, category theory, products and coproducts, Modules and exact sequences, Hom(D,-) and Hom(-,D) as functors |
Week 3 | 10.3, 10.5 | More on Hom(A, B), splitting SES, free, projective, injective modules |
Week 4 | 10.4, 10.5 | Tensor products, localization, more on exact sequeces |
Week 5 | 10.5, 12.1 | Extension of scalars, Flat modules, Modules over a PID |
Week 6 | 12.1 - 12.2 | Finitely generated modules over PIDs and canonical forms |
Week 7 | 12.3, 4.1 - 4.3 | Finish canonical forms, partitions, equivalence relations, cosets and consequences, direct products |
Week 8 | 4.5, 4.6, 5.1, | cyclic groups, Group Actions, Sylow theorems |
Week 9 | 5.2, 5.4, 5.5 | Symmetric and Alternating group, semidirect products |
T. R. Shemanske
Last updated July 18, 2017 09:28:13 EDT