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.

Adding ...

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.