Math 215 Introduction to Advanced Mathematics

Key Concepts

Chapter 1--The Language of Mathematics

Chapter 2--Implication

Chapter 3--Proofs

See the Methods of Proof handout

Chapter 4--Proof by Contradiction

Chapter 5--The Induction Principle

Chapter 6--The Language of Set Theory

Chapter 7--Quantifiers

Chapter 8--Functionss

Chapter 9--Injections, Surjections and Bijections

Chapter 10--Counting

Chapter 11--Properties of Finite Sets

Chapter 12--Counting Functions and Subsets

Chapter 14--Counting Infinite Sets

Chapter 22--Partitions and Equivalence Relations

Last Updated 11/20/06