Tuesday Thursday

9-1
 Introduction
"Math for Liberal Arts and Visual Math"


9-6
The Pythagorean Theorem

a2 + b2 = c2

Regular polygons
Begin Symmetry and
Tilings of the Plane
9-15
Symmetry and
Tilings of the Plane

Symmetries for a Single Polygon
Reflections and Rotations
 9-22-05
Regular and Semi- regular
Tilings of the Plane
   

9-27-05
More Symmetry:
Friezes, wallpaper, and tilings.
...|p|p|p|p|p|...
...|d|d|d|d|d|...
9-29-05
Isometries!

Preserve
Orientation		 Reverse
Orientation
No Fixed points Translation Glide reflection
Fixed Point(s) Rotation Reflection

Finish Isometries

Visualizing Spatial Objects in Flatland:
Slices, Projections, and "Cut and Flatten".

10-6-05
Spatial Objects:
Getting Familiar with The Platonic Solids.


10-11-05
Spatial Objects:
Getting Familiar with The Platonic Solids.
Counting Faces, edges, and vertices.


10-13-05
 Getting Familiar with The Platonic Solids.
Symmetries of the platonic solids.

10-18-05
What are topological properties?
Counting on curves and in the plane.
Euler's Formula
Appplications of the Euler Formula
 "A Hard Problem"
What's possible and what's impossible!


V+R = E + 2

 10-20-05
NO CLASS
October Break!
Appplications of the Euler Formula
 "A Hard Problem"
What's possible and what's impossible!
The Utilities Problem in the Plane!
 
Appplications of the Euler Formula
  Complete Graphs in the Plane.
The Color Problems on the plane and  the sphere and ...
The Color Problems on the plane and  the sphere and ...
Creating topological surfaces
      
Topological surfaces: Vocabulary and The Moebius Band

     
More Topological  Vocabulary: Closed and Orientable Surfaces- Immersions Imbeddings. Begin the fourth dimension.
The fourth dimension.
Begin Classification of Surfaces
11-15-05
The Classification of Surfaces:
Cutting and Pasting of Polygons-
Crosscaps and Handles
Seeing the Infinite