Math: Sets & Set Theory

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.

Sets

• Describing Sets (with videos)
• Set Notation (with videos)
• Finite And Infinite Sets (with videos)
• Empty Set Or Null Set
• Set Equality (with videos)
• Venn Diagrams (with videos)
• Subsets (with videos)
• Universal Set (with videos)
• Complement Of A Set (with videos)

Set Operations

• Intersection Of Two Sets (with videos)
• Intersection Of Three Sets (with videos)
• Complement Of The Intersection Of Sets
• Union Of Sets (with videos)
• Combined Operations Of Sets (with videos)
• Drawing Venn Diagrams (with videos)
• De Morgan's Theorem (with videos)

Set Videos

Set Notation
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, definition of subset, logical implications, converse, contrapositive, truth tables

The concept of negation. Operations on sets: union, intersection, complement, difference, symmetric difference

De Morgan's law and Logic

Power Set

 

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