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What Are Sets? How to use Sets in Math? Here we have a comprehensive collection of lessons on sets and set theory in math.
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 Operations||Lessons about Sets|
|Lectures about sets||Sets Worksheets||Math Worksheets|
Roster method, set-builder notation, Venn diagrams
Universal Sets & Subsets
Sets, universal sets, subsets, equal sets, disjoint sets
union, intersection, complement
Venn Diagrams I
Venn Diagrams to represent Union, Intersection and Complement
Venn Diagrams II
Venn diagrams with 3 sets and 2 sets
Venn Diagram Word Problems
How to solve word problems using Venn Diagrams?
These are at an advanced level, suitable for undergraduate studies.
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 & Logic
What is De Morgan’s Law and proof of De Morgan’s Law
The Power Set And Investigating How Many Elements The Power Set Has.
A quiz to test your knowledge of set notations: intersection, union, subset, etc.
Elements in a Set
Determine whether an element is a member of a given set and the number of members in a given set.
Types of Sets
Determine whether a given set is an infinite set, finite set or empty set.
Distinguish between subsets and proper subsets. Find the number of subsets in a given set.
Complement of a Set
Universal set, complement of a set, and subsets.
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