Euclidean Geometry

Math 514, Spring 2014
Department of Mathematics, LIU Post

Class Date Material Homework Comments
1/22 Snow Day
1/29 Elements I.1 - I.6 Read Hartshorne p. 7 - 23, Elements I.4 - I.12
Work Hartshorne problems 2.1 - 2.4 (p. 23)
2/5 Snow Day Read Elements I.13 - I.17
Work 3 of the Hartshorne problems 2.5 - 2.10 (p. 24-25)
2/12 Elements Book 1 Read Hartshorne p. 27-43
Hartshorne problems 1.4, 1.6, 1.8, 1.10
2/19 Euclidean Geometry? Why does proof of Prop 1.16 fail in spherical geometry?
Which axioms of incidence geometry do Z^2, spherical geometry satisfy?
Hartshorne: 3.1, 6.6 (optional)
2/26 Hilbert's Axioms Read: Hartshorne §6, §8 (skip proofs)
HW: 3.1, 7.1, 7.2, 7.6, 7.8
HW Tips
3/5 Hilbert's Axioms
Isomorphisms
Read: Hartshorne §9
HW: 8.6, 8.7, 8.10 (draw circle), 8.11c
Misc. Notes
3/12 Spring Break
3/19 Hilbert Planes Read: Hartshorne §13
HW: 2.14, 10.2, 10.9, 13.4, 13.6
Homework Tips
3/26 Ruler/Compass
§13, §28
Projects
4/2 §28 Homework Friends
4/9 Homework
4/16 Homework
4/23 Homework