Math 440-Fall 2016
D. Crombecque
Instructor:
DAVID CROMBECQUE
office in Kaprielian Hall room 266b (KAP 266b)
email: crombecq@usc.edu
Course Info:
Lectures: MWF 11-11.50 am in VKC 260
Textbook NOT REQUIRED, only SUGGESTED
TOPOLOGY 2nd edition by James Munk
Math 440
Sheet 1: Logic
In this sheet, we will review basic logical relations and vocabulary.
Definition 1
Given 2 propositions A and B, consider the following statement:
IF A THEN B
The RECIPROCAL (also called the CONVERSE) statement of if A then
B is:
I
Math 440
Sheet 2: Set Theory
Definition 1
A set is a collection of elements (a set of numbers, a set of functions, a set
of matrices, a set of people, a set of pokemons).
We tend to use capital letters to denote sets and lowercase letter for elements.
We
Math 440
Sheet 2: Equivalence Relations
Definition 1
Given a set X, a (binary) relation, say , defined for all pairs of elements of
X is called an EQUIVALENCE RELATION on the set X if it satisfies the
3 following properties for all elements x, y, z in the