Estimated Schedule for Math 360 Spring 2007 last update: Jan 23

 Unless otherwise stated, homeworks are due on Tuesdays.  Chapters and exercise numbers refer to the third edition of the text.

Week
Topics
Homework and projects due
9/3 Introduction. Euclid's geometry  Chapter 1
9/10 Euclid's geometry  (No class on Thursday 13) Chapter 1 Homework 0 Due Sept 12th
9/17 Logic and Incidence Geometry Chapter 2 Chapter 1: Exercises 1, 2, 3, 4. Mayor Exercise 1.
To think about (but not submit) Exercises 8 and 11.
9/24 Interpretation of Axioms Systems, Models,
Affine and Projective Planes
Chapter 2 Chapter 2, Exercises 1,2,3,4 and 5
Prove that the square root of 10 is not rational. Click here for a list of the logic rules in PDF.
10/1 Affine and Projective Planes, Hilbert's Axioms: Betweenness and Congruence.
Chapter 2 and 3. FROM THIS WEEK ON, CLASSES WILL TAKE PLACE AT MATH TOWER, 4-130
Chapter 2: Translate Prop. 2.2 and 2.3 (pag 51) to "shash" geometry and prove them (everything in shash terms)
Exercises 6 (Only Prop. 1,4,5), Exercise 7, and Exercise 8.
10/8 Hilbert's Axioms: Betweenness and Congruence. Chapter 3 Chapter 2: Exercise 9 (20 points), Exercise 10 (20 points), Exercise 11.
Extra credit: Exercise 12. Major Exercise 1 or Major Ex. from Ch 2
10/15 Hilbert's Axioms: Continuity and Parallelism  Chapter 3 Chapter 3: 1,2,6 and 15.
For a list of Axioms and Propositions in PDF format click here , use right click on list.pdf, and save it.
10/22 Midterm and review
Chapter 3
Midterm:  10/25. No homework this week! The midterm will consist in one problem of each of the following types:
A. Chapter 1, Problems 1, 2, 3.
B. Chapter 2, Problems 7, 10, 11.
C. Chapter 2, Problem 8, 9.
D. Chapter 3, Problems 1, 2,  6  20, 24.
10/29 Neutral Geometry
Chapter 4
Tuesday Oct 30: Class at Math Sinc Site (Math Tower, S-235)
Thurday: Chapter 3: 20, 24 and 28.
Midterm Statistics
11/ 5 Sketchpad - Neutral Geometry
Chapter 4 Sketchpad homework due Tuesday 6
11/12 Neutral Geometry.
Chapter 4
Chapter 4: 1,3,4,5,6 15
11/19 History of the parallel postulate (No class Nov 22nd) Chapter 5 Sketchpad project
11/26 History of the parallel postulate Chapter 6 Project due on Tuesday: Choose one of the theorems we studied and write a detailed proof. (The proof should have at least 10 steps.) Each step must be numbered and justified. Your proof has to show that you "processed" the theorem and not just copied from the book. You must indicate the source if is not our textbook. The proof has to be based in Hilbert's Axioms.
12/3 The discovery of non-euclidean geometry Chapter 6 Sketchpad Problems 2

12/10 The discovery of non-euclidean geometry Chapter 7 review Chapter 4: 23, 27 (both Extra Credit)
Chapter 5: 2,3,4
Chapter 6: 2,3,5,7
 Final exam: Tuesday Dec 18th, 11:00am to 1:30pm in our usual classroom, 4-130 Math Tower.