Fall 2014 - Honors Algebra I


Generalizations of the real and complex number systems

Group actions

An introduction to the theory of group actions, covering examples, various counting principles, and Sylow’s theorems.

How to read commutative diagrams

An introduction to commutative diagrams, a compact language for describing algebraic objects and structure-preserving maps between them.

Naïve set theory

A quick overview of elementary set theory, covering the basic terminology, relations and functions, equivalence relations and quotient sets, cartesian produc...