Outline
!!!!Sets with Mr Downes
- Author:
- Ronan Downes, Mohamed jihan, J.LOUIS AUGUSTUS
The concept of the SET is so fundamental to maths that it is called an undefined term. You might think of it as a collection of objects but we have to always be able to distinguish between the items in the set. The good news is that because it is undefined you cannot be asked to define it in an exam. They are not only a clever mathematical tool that we use to describe and solve all sorts of problems from the real world but they are also embedded in the very fabric of all of the major strands of maths.
The notation and terminology might seem a little strange at first.and it will take you a while to become fluent in using the new words and phrases but my advice is not to worry too much about all the new notation and terminology at the beginning but rather build your understanding of the main concept and ideas and you will get plenty of practice at retrieving and using the key words no matter what chapter you happen to be studying.
Table of Contents
Introduction, reflection and purpose
Two Sets (mainly 1st Year)
- 共通部分と和集合（intersection and union）
- Operations of 2 random sets is List (Roster) Form
- Union and Intersection of sets using the Lists Method
- set theory 1.3
- Operation of sets_16_cases
- Operation of 2 Sets
- Self Assessment of Shading Venn Diagrams
- Set Theory 1.4
- Venn Diagrams
- Set Notation & Venn Diagrams
- Describing Venn Diagrams using Set Notation & Words
- Venn diagram calculator
- Venn diagram
- Venn Diagram for set theory
- Regions of a Venn Diagram with Two Sets
Three-sets (mainly second and third year)
Enrichment
- The Real Number System
- Domain and Range Animation
- Sketching Lines
- Describing Sets of Numbers
- Probability Tree & Venn Diagrams
- Probability Venn Diagram
- Interval Notation: Quiz (Single Sets & Conjunctions)
- Interval Notation
- Function Compositions with Set notation
- Power of a Set on wikipedia
- Set theory on wikipedia
- Set Theory
- Appendix-Set Operations
- Function Machine 1
- IkigaiDemo
Application to probability
Mistakes