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1-18-05
Introduction to "Visual Math" 
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The Pythagorean Theorem  a2 + b2 = c2 |
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| 1-25 The Pythagorean Theorem (finished!) |
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| 2-1-05 Regular and Semi- regular Tilings of the Plane 
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2-3-05 Finish Semi-Regular Tilings Symmetries for a Single Polygon Reflections and Rotations  |
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2-10
Symmetries for a Tiling of a Frieze and the Plane ...|p|q|p|q|p|q|p|q|p|q|p|... ...|d|b|d|b|d|b|d|b|d|b|d|... 
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| 2-15 Lab: WinGeometry and Surfing  |
2-17 Isometries in Symmetry Groups and planar tilings. Begin Space- Symmetries and Isometries Rotations and Reflections 
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| 2-22 Isometries Begin Space- How do we encounter space? |
2-24 Finish Classification of Isometries in the Plane Spatial Objects- How do we understand them? 
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| 3-2 Spatial Objects: Getting Familiar with The Platonic Solids. Counting in geometry and topology. What are topological properties?
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V+R = E + 2
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| 3-8 Appplications of the Euler Formula "A Hard Problem" What's possible and what's impossible! The Utilities Problem and Complete Graphs in the Plane!  |
3-8
Appplications of the Euler Formula The Color Problems on the plane and the sphere and ... Creating a Klein Bottle 
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| 3-22 Maps and Coordinates for Surfaces Flatland, The Earth and The Torus.
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3-29
More on Surfaces Adventures on the Mobius Band, the Klein Bottle, and the Projective Plane ! "New" Surfaces and The Classification of Surfaces
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3-31 No Class Cesar Chavez Day |
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4-5 (Finish 3-29) "New" Surfaces and The Classification of Surfaces   |
4-7 Similarity in the plane and space. Geometric Sequences and Geometric Series
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| 4-12 Space Filling Curves
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4-14 Projective Geometry: Cones and Conic Sections Preliminaries for "Calculus"  |
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| 4-19 Ch. 10.1 Some Historical Problems of Visualization: The parabola and squares. Visualizing Algebra, Motion and Change Analytic geometry- Descartes and Fermat 10.2 Four Problems Connecting the visual to the Numerical Motion and distance travelled; Motion and position; Tangent line; Area of a region. |
4-21 10.2 Four Problems Connecting the visual to the Numerical Motion and distance travelled; Motion and position; Tangent line; Area of a region. 10.3, 10.4:Newton: Tangent lines, velocity, and the derivative. 10.5, 10.6 Determining position and areas. |
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| 4-26
Calculus: Putting concepts together with computations. 10.7 See notes from 4-21  Projective Geometry: Desargues' Theorem and The Conics! |
4-28 An Introduction to Desargues' Theorem  Perspective and Projective Geometry |
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5-3 Perspective in Space and The Projective Plane |
5-5 Other Worlds and Surfaces: A Non-euclidean Universe5-5 |
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| Inventory References are to Notes from Spring 2004 |
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2-26 The Platonic and Archimedean Solids.
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3-2 More on Solids. Symmetry. Isometries in Space.
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3-4 Connections between Polyhedra. Frameworks. Duality. Similarity in the plane and space.  |
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3-9 More on Similarity, Geometric Sequences, and Series |
3-11 Space Filling Curves
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3-23 Encounters with The Fourth Dimension The Hypercube.   |
3-25 More on the Hypercube:Coordinates |
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Coordinates for the Hypercube and the Tower of Hanoi       *
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4-15 More on Surfaces |
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4-22
The Classification of Surfaces Euler's Characteristic Number "New" Surfaces Cones and Conic Sections- Projective Geometry  |
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| 4-27 More on the Conics Projective Geometry: An Introduction to Desargues' Theorem  |
4-29 Perspective and Projective Geometry Perspective in Space and The Projective Plane  |
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| 5-4 More about Perspective and the Projective Plane  |
5-6 Other Worlds and Surfaces: A Non-euclidean Universe. 
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Maps and Projective Geometry
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More Duality and Proofs. What is possible and what is not! Properties of Curves and Surfaces: Geometric, projective, and topological.  |
Projective Geometry: Desargues' Theorem ,Duality, Pascal's Theorem and The Conics!  |
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| Some Historical Problems of Visualization: Ch. 10.1 The parabola and squares. visualizing algebra Motion and Change visualized Analytic geometry- Descartes and Fermat |
Four Problems Connecting the visual to the Numerical10.2 Motion and distance travelled Motion and position. Tangent line Area of a region. |
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| Newton: Tangent lines, velocity, and the derivative. 10.3, 10.4 |
Determining position and areas. 10.5, 10.6 |
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| Putting concepts together with computations. 10.7 |
Dissection
Theorem for Regular Polygons |
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