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Everything you need to know about Set Theory in 30 minutes, Everything you need to know before sitting a typical set theory exam including subsets, union & intersection and more.
Description
Do you have a test tomorrow? Need a quick recap? Or maybe you’re new to set theory but don’t want to spend hours watching lectures? In this course, we cover everything you need to know in around half an hour! This course is an updated version of the video “Set Theory | All-in-One Video” from the Dr. Will Wood YouTube channel which has over 1.7 million views.
Topics covered in this course include:
The Basics – What is a set? Elements of a set and set builder notation. The cardinality (size) of a set.
Subsets – A subset is set in which all the elements in it are also elements of another set. We define subsets mathematical and discuss examples. We also use the concept of subsets to define set equality
The empty set – A set with no elements. We discuss its unique properties and its role in set theory.
Union and Intersection – Definitions and explanation of the union and the intersection of two sets. Properties of the union and intersection
The Complement – Introduction the complement and the concept of the universal set. Applications of the complement.
De Morgan’s Laws – A set of laws related to the complement. We define De Morgan’s laws and the duality principle and discuss examples.
Who this course is for:
- Pre-university or first year university students studying basic set theory
