Euclidean Geometry

MTH 514
Spring 2020
Department of Mathematics, LIU Post

Class Dates Material Homework Handouts
1/21 A non-theorem (§1.1)
(problems 1-4 on p. 9)
Homework 1 (due 1/28)
§1.1 (p.10): 11, 12, 13, 15, 16
 
1/28 Spherical Geometry (§3.2)
Girard's Theorem
Homework 2 (due 2/4)
§3.2 (p.128): 9, 10, 13
 
2/4 Spherical Coordinates (§3.2)
Vectors (§5.1)
Homework 3 (due 2/11)
§3.2 (p.127): 3, 4, 5 (Bonus #7)
§5.1 (p.215): 1, 4, 26
 
2/11 Dot Product, Planes (§5.2) Homework 4 (due 2/25)
§5.2: 1, 2, 3, 12, 13a (Bonus 6, 7)
 
2/18 No Class    
2/25 Polyhedra, Hidden Faces (§5.2) Homework 5 (due 3/3)
§5.2: 15 (faces 5, 6), 16 (faces 5, 6)
 
3/3 Intersecting Spheres, GPS (§5.3)
Quiz 1
Project 1 (due 3/24)
§5.3: 1, 3 (due 3/17)
 
3/10 No Class (Spring Break)    
3/17 Projections, Perspective (§7.3, §7.4)    
3/24 Projections, Perspective (§7.4, §7.5) Project 2 (due 4/14)  
3/31 Isometries (§6.1), Composition (§6.2)    
4/7 §6.3, §6.4
Quiz 2
   
4/14 TBA Final Project (due 5/5 at the very latest)  
4/21 TBA
Quiz 3
   
4/28 TBA    
5/5 Presentations of Final Projects