MA 403 Contemporary College Geometry, Part II 
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 on Perspective


 M5  Kepler's idea for projective geometry. 
     Class notes:  Ideal lines and points.

 W5  Alberti's idea for perspective drawing.
     Class notes:  Principles of linear perspective.

 F5  Lab in 124 IH. 
     Homework due: "Ideal Desargues figures." Submit to Classcomm. 
     Lab work:  "Recipe for three constructions."
     Lab work:  Recipe for three constructions.
     Class notes:  Principles of linear perspective.

 M6  Thales theorem, the geometric mean, and Pythagoras' theorem.
     Homework due: "From where a square." Submit to Classcomm.
     Class notes:  Application of Thales' theorem to perspective drawing: Horizon and Zenith 

 W6  Recipe for completing a 3pt perspective cube from a given side.
     Homework due: "Checkerboard floor." Submit to Classcomm.
     Class notes: Jason Mead's tutorial for making a Peeping House.

 F6  Lab in 124 IH.
     Homework due: "My Peeping House." Bring to the lab.
     Class notes: Jason Mead's tutorial for cubing an edge. 
     Class notes:  Recipe for cubing a given edge in perspective 
     Class notes:  3-point, 2-point and 1-point perspective. 
 M7  Law of Sines, peripheral angle theorem, cross ratios, and perspective rulers.
     Homework due: "Cubing an Edge." Submit to Classcomm.
     Class notes:  Crossratios. 
     
 W7  Plan and elevations: Orthographic views and their perspective 
     construction. Inscribing circles in squares. 

 F7  Midterm
 
 M8  Homework due: "Measuring a Box" Submit to Classcomm.
 W8  Homework due: "Computer Church" Submit to Classcomm.
 F8  Homework due: "Mystery Tower"   Submit to Classcomm.
 M9  Homework due: "Project Proposal" Submit to Classcomm.