Date  Topics covered  Reading  Homework Assignments 
Monday January 13 
Introduction 
Chapter 1 

Wednesday January 15 
Euclid's
Geometry. Origins of geometry, the axiomatic method, undefined terms. 

Friday January 17 
Euclid's first four postulates. 
HW1: Due Friday January 24 .pdf, .tex 

Monday January 20 
NO CLASS 
NO CLASS  
Wednesday
January 22 
The parallel postulate. 
Chapter 2  
Friday January
24 
Introduction to LaTex. 
(See the bottom of this webpage) 
HW 2: Due Friday January 24 Chapter 1, Exercises: 1, 2, 3, 6, 9, 10, 12 
Monday January 27 
Misleading diagrams, straight edge and compass constructions.  
Wednesday January 29 
Logic Introduction to logic. 

Friday January 31 
Theorems and proofs, proof by contradiction. 
HW 3: Due Wednesday February 5 Chapter 1, Exercises: 14, 15. Chapter 2, Exercises: 1, 2, 3. .pdf, .tex 

Monday
February 3 
Basic logic, cont. 

Wednesday
February 5 
Incidence geometry.  
Friday
February 7 
Models.  HW 4: Due Monday February 10 Chapter 2, Exercises: 4, 7, 8, 10 (a)(b), 11. 

Monday February 10 
Homework review 

Wednesday February 12 
Review  Sample Midterm I .pdf 

Friday
February 14 
MIDTERM I 
MIDTERM
I 

Monday
February 17 
Affine planes 

Wednesday
February 19 
Projective planes 

Friday
February 21 
Hilbert's Axioms Flaws in Euclid. 
Chapter 3 
HW 5: Due Monday February 24 Chapter 2, Exercise: 14. Chapter 2, ``Major Exercises'': 15. 
Monday February 24 
Axioms of betweenness. 

Wednesday February 26 
Axioms of congruence.  
Friday February 28 
Axioms of continuity. 

Monday
March 3 
Axiom of parallelism.  HW 6: Due Monday March 3 Chapter 3 Exercises on Betweenness: 15 

Wednesday
March 5 
Neutral Geometry Geometry without the parallel axiom. Alternate interior angle theorem. 
Chapter 4 

Friday
March 7 
Exterior angle theorem, measure of angles and segments.  
Monday March 10 
SachheriLegendre theorem.  
Wednesday March 12 
Equivalence of the parallel postulates.  
Friday March 14 
Angle sum of a triangle.  HW 7: Due Friday March 14 Chapter 3 Exercises on Congruence: 2124 

Monday
March 17 
Homework review 

Wednesday
March 19 
Review  Sample
Midterm II .pdf 

Friday
March 21 
MIDTERM II 

Week of
March 24March 28 
SPRING BREAK  SPRING BREAK  
Monday March 31 
History of the Parallel
Postulate (Presentations) Proclus, Equidistance, Wallis, Saccheri. 
Chapter 5 

Wednesday April 2 
(Presentations) Clairout's Axiom and Proclus' Theoreom, Legendre, Lambert and Taurinus, F. Bolyai 

Friday April 4 
NonEuclidean
Geometry (Presentations) J. Bolyai, Gauss, Lobachevsky 
Chapter 6 
HW 8: Due Friday April 4 Presentation writing assignment 
Monday
April 7 
NonEuclidean Hilbert
planes, and the defect. 

Wednesday
April 9 
Similar triangles, parallels
admitting a common perpendicular. 

Friday
April 11 
Limiting parallel rays,
hyperbolic planes. 

Monday April 14 
Classification of parallels.  HW 9: Due Monday April 14 Chapter 4, Exercises 1, 2, 6, 10, 14 

Wednesday April 16 
Independence
of the Parallel Postulate Consistency of hyperbolic geometry. 

Friday April 18  The BeltramiKlein model 


Monday
April 21 
The Poincare models. 

Wednesday
April 23 
Models, cont. 

Friday
April 25 
Further topics 
HW 10: Due Monday April 28 Chapter 5, Exercises 10, 11, 13 

Monday April 28 
Further topics 

Wednesday April 30 
Homework review 

Friday May 2 
Review 
Sample Final .pdf 

Monday May 5 
FINAL
EXAM 8:0010:00
AM ECCR
151 (Lecture Room) 
FINAL EXAM  FINAL EXAM 