## 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 colorĀ 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:

- Fill in the grid

**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://personal.bgsu.edu/~carother/infinite/Infinite1.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://lrs.ed.uiuc.edu/students/avilesga/project/main.html

*Union of Sets:*

http://lrs.ed.uiuc.edu/students/avilesga/project/union.html

*Intersection of Sets:*

http://lrs.ed.uiuc.edu/students/avilesga/project/intersection.html

*Venn Diagrams for union and intersection:*

http://lrs.ed.uiuc.edu/students/avilesga/project/venn.html … See the whole entry