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. |