General Class Information

Class Syllabus . Click here for a PDF version for printing.

List of topics to be covered each day. Click here for a PDF version for printing.

Class Worksheets and Lecture Notes

Chapter 1 – The Origins of Geometry (available as a PDF file)

Chapter 2 – Euclidean Geometry

Chapter 3 – Transformation Geometry: First View

Chapter 4 – To Boldly Go Where No Man Has Gone Before

Chapter 5 – Euclidean Geometry: Revisited

Chapter 6 – Euclidean Constructions

Chapter 7 – Other Geometries

Chapter 8 – More in the Poincaré Disk Model

Chapter 9 – Poincaré Models of the Hyperbolic Plane

Chapter 10 – Hypercycles and Horocycles

Chapter 11 – Hyperbolic Trigonometry

Chapter 12 – Analytic Hyperbolic Geometry

Assignments

Assignment for January 21, 2004 — Due January 28, 2004.

Read the web page about the van Heile level’s of geometric understanding and read either the Fuys, et al., or the Malloy and Friel article. You might find some of the other articles interesting as well.

Complete Exercise Set #1. (Available as PDF file.)

Evaluate the van Heile level at which you feel you are in the proof/disproof of the theorem that all triangles are isosceles. Place this in a sealed envelope with your name on the outside. Turn this envelope in to me on January 28.

Find an article on Dynamic Geometry. Read it. Email me the complete reference.

Assignment for January 28, 2004 — Due February 4, 2004.

Complete Exercise Set #2. (Available as a PDF file.)

Assignment for February 4, 2004 — Due February 11, 2004.

Complete Exercise Set #3. (Available as a PDF file.)

Assignment for February 11, 2004 — Due February 18, 2004.

Complete Exercise Set #4. (Available as a PDF file.)

Assignment for February 18, 2004 — Due February 25, 2004.

Complete Exercise Set #5. (Available as a PDF file.)

Assignment for March 10, 2004 — Due March 24, 2004.

Complete Exercise Set #6. (Available as a PDF file.)

Assignment for March 17, 2004 — Due March 24, 2004.