Monday, October 22 – Historical Mathematician Papers / Presentations are due.
Attendance is mandatory! Failure to attend class will result in a deduction of 50 points.
Friday, October 19 – Test 2
You are allowed to bring 1 8.5” x 11” sheet of paper with anything written on it and a calculator.
Below is a brief review of topics and homework covered for this test.
The test covers chapters 5 and 10, more specifically 5.1 – 5.5 and 10.1 – 10.5.
The assigned homework for these chapters is:
5.1 – Set 1 (omit #20 – 22)
5.2 – Set 1
5.3 – Set 1
5.4 – Set 1 #1 – 5
- Set 2
5.5 – Set 1
10.1 – Sets 1 & 2
10.2 – Set 1
10.3 – Set 1 #1 – 10 and #15 – 22
- Set 2 #4 – 7
10.4 – Set 1 #6 – 10
- Set 2
Topics covered:
5.1 – Rotational and line symmetries (when various figures have them, e.g. 5.1 Set 1 #23-30)
5.2 – Regular Polygons (n-sided)
Know the names of the most popular (n = 3, 4, 5, 6, 8, 10, 12)
Internal (mirror) angles and external angles
5.3 – Regular and Semi-regular Mosaics
What determines when a regular polygon can be used to form a mosaic (e.g. 5.3 Set 1 #4-9)
5.4 – Regular Polyhedra
How many are there? What are their names? What is the Euler Characteristic (relating V, F, and E)?
5.5 – Semi-regular Polyhedra
How do they differ from regular polyhedra?
10.1 – What is a simple closed curve?
When are two figures topologically equivalent (as it applies to graphs)?
What is the Euler Characteristic of a graph (relating V, E, and R)?
10.2 – Graphs (Networks)
What is the degree of a vertex?
10.3 – Eulerian and Hamiltonian Paths
What are they?
When does a graph have an Eulerian Path?
10.4 – Trees
What is the diameter of a tree?