Module 1:
Groups and Subgroups

Includes:

• Operations

• Definition of a Group

• Properties of Groups

• Subgroups

• Cayley Diagrams

• The Dihedral Group

Module 2:
Functions and Isomorphisms

Includes:

• Functions

• Groups of Permutations

• Permutations of a Finite Set

• Isomorphisms

• Order of Group Elements

• Cyclic Groups

Module 3:
Cosets and Quotient Groups

Includes:

• Partitions and Equivalence Relations

• Counting Cosets

• Homomorphisms

• Quotient Groups

• The Fundamental Homomorphism Theorem