Thursday,  March 11

Projects : Do you have an approved project with partners?
Do you have a plan on how you'll use the time of the break for your project?

Kieval Lecture

### "The Mysterious Arithmetic of Knots"

on Thursday Evening- 7:30 pm FH 118 by John Conway

Continuing with Similarity.

Arithmetic and Geometric Series
.
Application to economics.

Seeing the infinite... small and large.

How many points are there on a line segment? Can you count them all?

Any list (possibly infinite) of points in a given segment of a euclidean line will not have every point in that segment on the list.

Note  that we can make a list of points corresponding to the rational numbers once a unit length had been established.
1/1,
2/1,3/1,4/1,...
1/2,2/2,3/2,...
1/3,2/3,...
1/4, ....

What is a curve?
Curves and approximations of curves by line segments and polygons.

Regular Polygons and the circle.
The length of a curve.

Infinite curves: The snowflake.
Activity on snowflakes.
Space filling curves.