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.