Abstract Algebra I
| Object | Date | More |
|---|---|---|
| Syllabus | Wed Aug 24 | Read it. |
| Homework 1 Solutions |
Wed Sep 14 |
Course Notes History of Algebra The Group Concept Matrix Groups Cyclic Groups |
| Homework 2 Solutions |
Mon Sep 26 |
Course Notes Functions Homomorphisms Kernel and Image Lagrange's Theorem |
|
Exam 1 Solutions | Wed Sep 28 | click Course Notes |
| Homework 3 Solutions |
Wed Oct 26 |
Course Notes The Ring Concept (Z/nZ) and (Z/nZ)^X Structure of G/H Isomorphism Theorems |
|
Interlude |
Course Notes The Field Concept Vector Spaces |
|
|
Exam 2 Solutions | Mon Oct 31 | |
| Homework 4 Solutions |
Wed Nov 9 |
Course Notes Semi-Direct Products Dihedral Groups Quaternions |
| Homework 5 Solutions |
Wed Nov 23 |
Course Notes Isometries of R^n O(2), SO(2), O(3), SO(3) Abstract Group Actions Orbit-Stabilizer |
|
Exam 3 Review Solutions | Wed Nov 30 |