Graph Archives - The Nature of Mathematics

Homework Hints 18-2

October 22, 2015July 23, 2015 by elaine

Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … See the whole entry

Reference Topics 16-1

June 4, 2017July 22, 2015 by elaine

This site gives a nice review of solving simple systems of equations.
http://www.purplemath.com/modules/systlin1.htm

This site gives a review of solving simple systems of equations by adding with links to solving simple systems using other methods. This is a great site … See the whole entry

Reference Topics 15-4

June 4, 2017July 22, 2015 by elaine

A nice overview of the conic sections can be found at this site:
http://www.mathacademy.com/pr/prime/articles/concis/index.asp

This is a great interactive site for graphing conic sections.

In order to use this graphing tool, you need to write the equation in the form… See the whole entry

Homework Hints 15-3

October 22, 2015July 22, 2015 by elaine

Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … See the whole entry

Homework Hints 15-2

October 22, 2015July 22, 2015 by elaine

Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … See the whole entry

Individual Research Project Section 14.4

September 29, 2015July 21, 2015 by elaine

Project 14.10

Select something that you think might be normally distributed (for example, the ring size of students at your college). Next, select 100 people and make the appropriate measurements (in this example, ring size). Calculate the mean and standard … See the whole entry

Section 9.2: Trees and Minimum Spanning Trees

September 25, 2015July 14, 2015 by elaine

9.2 Outline

Trees
1. definition
2. spanning tree
Minimum spanning trees
1. weight
2. weighted graph
3. definition
4. Kruskal’s algorithm
5. number-of-vertices-and-edges-in-a-tree theorem

9.2 Essential Ideas

A tree is a graph which is connected and has no circuits. A tree that is created from another … See the whole entry

Section 9.1: Euler Circuits and Hamiltonian Cycles

September 25, 2015July 14, 2015 by elaine

9.1 Outline

Euler circuits
1. Konigsberg bridge problem
2. definition of a graph (or a network)
3. traversable network
4. degree of a vertex
5. Euler circuit
6. odd/even vertex
7. connected network
8. Euler’s circuit theorem
Applications of Euler circuits
1. supermarket problem
2. police patrol problem
3. floor-plan problem

… See the whole entry