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We often deal with groups or collection of objects in real life, such a set of books, a group of students, a team of basketball players, 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.
Introduction To Sets
- Set Notations
Describing Sets
Set Notation
Finite & Infinite Sets
Empty Set Or Null Set
Set Equality - Venn Diagrams
Venn Diagrams
Subsets
Universal Set
Complement Of A Set
Set Operations
- Intersection & Union of Sets
Intersection of Two Sets
Intersection of Three Sets
Complement of an Intersection
Union Of Sets
Combined Operations Of Sets - Venn Diagrams
Drawing Venn Diagrams
De Morgan’s Theorem
Shading Venn Diagrams
Lessons On Sets
- Lessons On Sets
Set Notation
Universal Sets & Subsets
Set Operations
Venn Diagrams I
Venn Diagrams II
Venn Diagram Word Problems
A Series Of Lectures On Sets
These are at an advanced level, suitable for undergraduate studies.
- More Advanced Topics on Sets
Definition of a Set
Operations on Sets
De Morgan’s law & Logic
Power Sets
Sets Of Numbers
Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Setsuna Tokage
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