Abstract Algebra I

There is no required textbook. All lecture notes will be posted here. For further reading I recommend Michael Artin's Algebra and Charles C. Pinter's Book of Abstract Algebra.

Office Hours: Mondays 4-5pm and Wednesdays 1-2pm

Here is the syllabus.
Course Notes
Item Date Information
Homework 1
Solutions in the Notes
Fri Aug 31 Quadratic and Cardano Formulas
Lagrange's Method
Permutations
Definition of Group and Subgroup
Homework 2
Solutions in the Notes
Fri Sept 14 Subgroup Generated by a Subset
Intersection and Join
Examples of Cyclic Groups
Definition of Isomorphism
Exam 1
Solutions
Fri Sept 21 Total = 21
Average = 16.8
Median = 17
St Dev = 4.8
Homework 3
Solutions in the Notes
Fri Oct 5 Posets and Lattices
Subgroups of Z
Galois Connections
Fundamental Theorem of Cyclic Groups
Homework 4
Mon Oct 22 Equivalence Modulo a Subgroup
Lagrange's Theorem
Normal Subgroups and Quotients
First Isomorphism Theorem