Tuesday Thursday
1-24
 Introduction
"Math for Liberal Arts and Visual Math"
 
1-26
The Pythagorean Theorem

a2 + b2 = c2
1-31
Tangrams and Dissection Puzzles
(Regular) Polygons
Tilings of the Plane
2-7
Symmetry and
Tilings of the Plane

2-9
 Symmetries for a Single Polygon
Reflections and Rotations.

PLUS...Friezes, wallpaper, and tilings.
...|p|p|p|p|p|...
...|d|d|d|d|d|...
2-14
Using Symmetry in Creating Patterns.
Begin Considering Spatial Objects



2-16
Visualizing Spatial Objects in Flatland:
Slices, Projections, and "Cut and Flatten".
2-21
The Torus
Euclidean and Projective Geometries
The conics
The Platonic Solids
Begin Topology of Curves and Surfaces
Symmetry of Solids
Begin Topology of Curves and Surfaces
Accounting for Curves in the Plane
3-2
Counting on curves and in the plane.
Euler's Formula
for the Plane and the Sphere
V+R = E +2
3-7
Appplications of the Euler Formula
 "A Hard Problem"
What's possible and what's impossible!
The Utilities Problem in the Plane!
   Complete Graphs in the Plane!

The Coloring Problem
The Color Problems on the plane and  the sphere and ..Maps and the torus...
torus_coord.gif
torus_coord1.gif

Creating topological surfaces:
The Moebius Band
  

More on topological surfaces
Classification
   

3-28 ( continuation of last weeks notes)
Finish classification of surfaces
Surfaces and the Euler Characteristic
3-30
The Fourth Dimension and Surfaces
4-4
Similarity in the plane and space.
Big
 Big
Geometric Sequences and Geometric Series
4 + 2+1 + 1/2 +1/4 + 1/8 +...
= 7 + "1" = 8

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4-11
A look at the infinite-
Geometric series.

4-18
Infinity and Measurements


 4-20
Areas, Rate and Slopes
4-25
Algebra
for finding Rates and Slopes: the "derivative"
 

4-27
Finding areas and position change: the "integral"
The Fundamental Theorem of Calculus
Begin to see the infinite:
Perspective and Projective Geometry
5-2 (Last Class)
Seeing the Infinite:
Perspective and Projective Geometry
Project Fair
Tuesday. May 9th
9:30-11:00
Presentations start at 10:00
Also-Award Winning MathVideo
"A Non-Euclidean Universe"