Math: Sets & Set Theory

How to use Sets in Math?

We often deal with groups or collection of objects, such a set of books, a group of students, a list of states in a country, a collection of baseball cards, etc.

Sets may be thought of as a mathematical way to represent collections or groups of objects. The concept of sets is an essential foundation for various other topics in mathematics.

This series of lessons cover the essential concepts of math set theory - the basic ways of describing sets, use of set notation, finite sets, infinite sets, empty sets, subsets, universal sets, complement of a set, basic set operations including intersection and union of sets, using Venn diagrams and simple applications of sets.


Describing Sets Set Notation
Finite And Infinite Sets Empty Set Or Null Set
Set Equality Venn Diagrams
Subsets Universal Set
Complement Of A Set  

Set Operations

Intersection Of Two Sets Intersection Of Three Sets
Complement Of The Intersection Of Sets Symmetric Difference Union Of Sets
Combined Operations Of Sets Drawing Venn Diagrams
De Morgan's Theorem Shading Venn Diagrams

Video Lessons on Sets

Set Notation Roster Method, Set-Builder Notation, Venn Diagrams Sets Universal Sets, Subsets, Equal Sets, Disjoint Sets
Set Operations Union, Intersection, Complement Venn Diagrams I
Venn Diagrams II Venn Diagrams Word Problems

A series of lectures on Sets (suitable for Undergraduates)

Definition of a set Russell's paradox, logical implications, converse, contrapositive, truth tables Operations on sets The concept of negation, union, intersection, complement, difference, symmetric difference
De Morgan's law and Logic Power Set

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