Individual Research Project Section 2.5
Project 2.5
Let S be the set of all real numbers between 0 and 1. Prove that the set S is not a countable set.… See the whole entry
Let S be the set of all real numbers between 0 and 1. Prove that the set S is not a countable set.… See the whole entry
Write a report discussing the creation of colors using additive color mixing and subtractive color mixing.
What is the millionth positive integer that is not a square, cube, or fifth power?… See the whole entry
What is the millionth positive integer that is not a square or a cube?… See the whole entry
The KenKen puzzle is an arithmetical puzzle that ties together sets, magic squares, and suduko-type puzzles.
Each of these puzzles uses the set consisting of the first n counting numbers. The rules are simple:
Infinity (from scratch) – slightly humorous, but mathematically correct. (time: 9:42)
The smallest Infinity (time: 9:33)
… See the whole entry
Venn diagrams (time: 2:00)
This site introduces the idea of infinite sets:
http://mathforum.org/isaac/problems/cantor1.html
This site introduces the idea that there are different sizes of infinity:
http://www.math.grinnell.edu/~miletijo/museum/infinite.html
A slightly more advanced discussion of sets can be found in the article, “A Crash course in the … See the whole entry
Venn diagrams with two, three, and four sets:
If you click on the question mark, you can practice with three overlapping sets.
http://www.math.csusb.edu/notes/sets/node5.html
This site shows a statement of De Morgan’s law.
https://www.quora.com/What-is-the-significance-of-De-Morgans-Laws… See the whole entry
This is a web-based instructional module on the algebra of sets.
http://www.math-only-math.com/laws-of-algebra-of-sets.html
Union of Sets:
https://www.basic-mathematics.com/union-of-sets.html
Intersection of Sets:
https://www.basic-mathematics.com/intersection-of-sets.html
Venn Diagrams for union and intersection:
https://www.mathsisfun.com/sets/venn-diagrams.html… See the whole entry