Math 893 (2020)

Core Algebra I (Schedule)

Emmy Noether
permutations
isomorphism theorems
modules over a PID
Date Topic/Video Read Due
2020.09.08 Groups and permutations notes 01
2020.09.10 Subgroups and automorphsims notes 02
2020.09.15 Homomorphisms and actions notes 03 problems 01
2020.09.17 Cosets and quotients notes 04
2020.09.22 Isomorphisms, orbits, and stabilizers notes 05 problems 02
2020.09.24 Sylow theorems notes 06
2020.09.29 Small groups and simple groups notes 07 problems 03
2020.10.01 Free groups, generators, and relations notes 08
2020.10.06 Rings and domains notes 09 problems 04
2020.10.08 Isomorphisms and maximal ideals notes 10
2020.10.13 Fractions and polynomials notes 11 problems 05
2020.10.15 Roots and Euclidean domains notes 12
2020.10.20 Greatest common divisors and factorizations notes 13 problems 06
2020.10.22 Noetherian rings and factoring polynomials notes 14
2020.10.27 Fall break
2020.10.29 Fall break
2020.11.03 Irreducibility notes 15 problems 07
2020.11.05 Modules notes 16
2020.11.10 Products and sums notes 17 problems 08
2020.11.12 Vector spaces notes 18
2020.11.17 Free submodules and matrices notes 19 problems 09
2020.11.19 Modules over PIDs notes 20
2020.11.24 Structure theorems notes 21 problems 10
2020.11.26 Categories notes 22
2020.12.01 Functors notes 23 problems 11
2020.12.03 Universal properties notes 24
2020.12.08 problems 12
2020.12.17 Written exam exam problems
2020.12.18 Oral exam exam questions