Set Theory
Set theory is the branch of mathematics that deals with the properties of well-defined collections of objects. We call these collections of objects sets. A set is a collection of objects, nothing more and nothing less. It could be collection of numbers, clothes, shoes and so on that have something in common.
Georg Cantor, a German Mathematician, defined a set as a collection of definite, distinguishable objects of perception or thought conceived as a whole.
There are various methods for representing sets which includes:
- Statement form.
- Roaster form or tabular form method.
- Set Builder method.
In sets theory, the relationships between and among sets, groups of objects that share something in common can be illustrated with a Venn diagram. Venn diagrams can be useful for solving word problems if information provided is accurately interpreted.
This course explains the principles of sets theory with examples and illustrations where possible.
You can click any of the links below to learn some specific topics in set theory or click curriculum (desktop users ) or cube icon (mobile device users) above to view lessons sequentially.
Intersection and Union of sets
At the end of this course, you should be able to provide answers to questions such as and not limited to:
What is a set?
How can sets be represented?
What are the different types of sets?
When do we say sets are empty?
What is a Venn diagram?
How do you show relationships between or among sets using a Venn diagram?
What is the difference between intersection and union of sets?
How do you solve Venn diagram word problems?
What is the difference between complement and difference of a sett?
Your feedback is very important! Please review courses, leave a comment and be kind to share with your friends. Thank you.