Tuesday | Thursday | ||||
|
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|... |
||||
|
![]() |
||||
2-21 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 ![]() |
|||||
3-7
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...
|
||||
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 ![]() ![]() |
|||||
4-4 Similarity in the plane and space.
|
Geometric
Sequences and Geometric
Series 4
+ 2+1 + 1/2 +1/4 + 1/8 +...
= 7 + "1" = 8 |
||||
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" |