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