Lecture 1 - Groups : Introduction to abstraction
Lecture 2 - Groups : Subgroups and homomorphism
Lecture 3 - Groups : Isomorphism
Lecture 4 - Groups : Quotienting
Lecture 5 - Groups : Structure Theorem
Lecture 6 - Groups : Applications
Lecture 7 - Rings : Introduction
Lecture 8 - Rings : Failure of Unique Factorization
Lecture 9 - Rings : Birth of Ideals
Lecture 10 - Rings : Ideal Arithmetic
Lecture 11 - Rings : Special Ideals
Lecture 12 - Rings : Dedekind Domains
Lecture 13 - Rings : Quotient Rings
Lecture 14 - Fields
Lecture 15 - Cauchy sequences and real numbers
Lecture 16 - Properties of Fields
Lecture 17 - Finite Fields
Lecture 18 - Application of Fields
