21-101: The Four Pillars of Geometry

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 28 - Sep 1
Homework 		Introduction, Motivation and Goals.
Straightedge and Compass Constructions. (1.1, 1.2, 1.3)
Lengths, Areas and Similar Triangles. (1.4, 1.5, 1.6)
Week #2: 
Sep 4 - 8
Homework 		Euclid's Axioms. (2.1, 2.2)
The Pythagorean Theorem. (2.5)
Week #3: 
Sep 11 - 15
Homework 		Thales Theorem. (2.6, 2.9)
Coordinates and Equations for Lines and Circles. (3.1, 3.2, 3.3, 3.4, 3.5)
Isometries and the Three Reflection Theorem. (3.6, 3.7, 3.8)
Week #4: 
Sep 18 - 22
Homework 		Vectors and Linear Independence. (4.1, 4.2)
Midpoints and Centroids. (4.3)
Perspective and Straightedge Constructions. (5.1, 5.2)
Week #5: 
Sep 25 - 29
Homework 		Projective Planes and Homogeneous Coordinates. (5.3, 5.4)
Projections and Linear Fractional Functions. (5.5, 5.6)
The Cross Ratio. (5.7, 5.8, 5.9)
Week #6: 
Oct 2 - 6
Homework 		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 20 October.

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