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Schedule and Homework
For each week there will be a link to a page with a reading assignment
and a homework assignment.
This schedule is tentative. It will get more accurate as the semester
progresses. No week's topics should be taken as final until the homework
is linked.
Week #1:
Aug 29  31
Homework

Introduction, Motivation and Goals.
Straightedge and Compass Constructions. (1.1, 1.2, 1.3)
Euclid's Axioms. (2.1, 2.2)
Areas and the Pythagorean Theorem. (2.3, 2.42.5)

Week #2:
Sep 3  7
Homework

Thales Theorem and Angles in a Circle. (2.6, 2.7)
Thales' Pappus' and Desargue's Theorems. (1.4, 1.5)
Administrative Note: Monday 3 September is Labor Day. Class not meet.

Week #3:
Sep 11  15
Homework

Thales' Pappus' and Desargue's Theorems. (1.4, 1.5)
Perspective and Straightedge Constructions. (5.1, 5.2)
Projective Planes and Homogeneous Coordinates. (5.3,
5.4)

Week #4:
Sep 18  22
Homework

Projections and Linear Fractional Functions. (5.5, 5.6)
The Cross Ratio. (5.7, 5.8, 5.9)
Coordinates and Equations for Lines and
Circles. (3.1, 3.2, 3.3, 3.4, 3.5)

Week #5:
Sep 25  29
Homework

Isometries and the Three Reflection Theorem. (3.6,
3.7, 3.8)
Vectors and Linear Independence. (4.1, 4.2)
Midpoints and Centroids. (4.3)

Week #6:
Oct 2  6

The Pappus and Desargues Theorems in Projective
Geometry. (6.1, 6.2, 6.3)
Arithmetic in Projective Geometry. (6.4, 6.5)
The Associative and Distributive Laws. (6.7, 6.8, 6.9)

Week #7:
Oct 9  13

Isometries of the Plane. (7.1, 7.2)
Transformations of Projective Space. (7.3)
Spherical Geometry. (7.4, 7.5)

Week #8:
Oct 16  20

Hyperbolic Geometry. (Selections from Ch. 8)
Final Exam.
Administrative note: The Final Exam will be
held on Friday 19 October.

