Math 316

Progression and homework

	Date	Topics	Assignments & resources
1	9/01	The axiomatic method	[G] pp. 1-15. On Pythagorean Mathematics: A Light Dance on the Dust of the Ages, by T. Maudlin
2	9/06	Euclid's postulates I - IV	[G] pp. 15-19
	9/08	The fifth postulate	[G] pp. 20-29. A visualization of the Pythagorean Theorem
3	9/13	Geometric constructions	[G] pp. 29-33
	9/15	More constructions, the Cartesian Method, $\pi$	[G] pp. 33-40
4	9/20	Review of elementary logic, 1/2	[G] pp. 53-60 - Quiz 1
	9/22	Review of elementary logic, 2/2	[G] pp. 60-68
5	9/27	Incidence geometry: axioms and models	[G] pp. 69-76
	9/29	Incidence geometry: examples, isomorphisms	[G] pp.76-81
6	10/04	Projective completion of affine planes	[G] pp.81-85 - Quiz 2
	10/06	Models of projective geometry	[G] pp.85-88
7	10/11	Hilbert's axioms: betweennesss	[G] pp.103-119 - Hilbert's radio address
	10/13	No class	Fall Break
8	10/18	Hilbert's axioms: congruence	[G] pp.119-129
	10/20	Hilbert's axioms: continuity	[G] pp.129-138
9	10/25	Neutral geometry	[G] pp.161-168 - Quiz 3
	10/27	Measures of angles and segments	[G] pp.169-173
10	11/01	Equivalence of Euclidean parallel postulates	[G] pp.173-176
	11/03	Saccheri and Lambert quadrilaterals	[G] pp.176-183
11	11/08	No class	Election Day
	11/10	Angle sum of a triangle	[G] pp.183-190 - Quiz 4
12	11/15	History of non-Euclidean geometry	[G] pp.239-249
	11/17	Non-Euclidean Hilbert planes	[G] pp.249-262
13	11/22	Meetings
	11/24	No class	Thanksgiving Break
14	11/29	Classification of parallels in hyperbolic planes Consistency of (non-)Euclidean geometry	[G] pp.262-264 [G] pp.289-293
	12/01	The Beltrami and Poincaré models	[G] pp.297-308
15	12/06	Hyperbolic geometry
	12/08	Wrap-up	Quiz 5

Math 316 COLL 200 Euclidean and Non-Euclidean Geometry

Progression and homework

Math 316
COLL 200
Euclidean and Non-Euclidean Geometry