MA 403 Contemporary College Geometry 
Catalog title: "Advanced Topics in Geometry"
Instructor: G. Francis, 101 AH, 3-4794, gfrancis@uiuc.edu
Locations: 11 MWF 147 AH and Computer lab 124 IH.

Urls
  http://new.math.uiuc.edu/math403
 
  http://cm.math.uiuc.edu/classcomm 

  https://webapps.math.uiuc.edu/ma403/texwins.html  


Texts 
  P. Tondeur, "Vectors and Transformations in Plane Geometry",
      Publish or Perish, 
  G. Francis, "Geometry Lessons, Notes and Problems", on line
  I. Baran, KSEG, "Free Interactive Geometry Software", on web
  M. Sommers, "texWins", web-based LaTeX math authoring tool

Lessons

 M1  Introduction and subject outline.
     Class notes: Greek Geometry, Thales -- Euclid -- Pappus
  

 W1  Vector methods in plane affine geometry. 
     Sample homework: Tondeur 1.7  
     Class notes:  Quadrilaterals, Diagonals and Parallelograms    

 F1  Lab in 124 IH.  
     Homework due: Tondeur 1.8, 1.9. Submit to Classcomm.
     Class notes:  The Centroid Theorem
     Here is an  8 minute video  on how to make a figure with KSEG and Paint.
 

 M2  The Main Collinearity Lemma and its applications. 
     Class notes:  Cartesian and Barycentric Coordinates

 W2  Concurrent cevians of triangles.
     Homework due: Tondeur 1.11, 1.12. Submit to Classcomm.
     Class notes: Ceva's Theorem 

 F2  Lab in 124 IH.
     Homework due: Tondeur 1.13, 116a. Submit to Classcomm.

 M3  Labor Day. 

 W3  Collinear points on the sides of a triangle.
     Homework due: Tondeur 1.17, 1.18
     Class notes: Menelaus' Theorem

 F3  Lab in 124 IH.
     Homework due: Tondeur 1.20, 1.21. Submit to Classcomm.

 M4  Connection between Menelaus' and Ceva's theorems.
     Homework due: Tondeur 1.22. Submit to Classcomm.
     Class notes: Menelaus implies Ceva 

 W4  Connection to the theorems of Desargues and Pappus.
     Class notes:  Desargue's Theorem 

 F4  Closed book Quiz of work to date.