Estimated
Schedule for Math 360 Spring 2007 last update: Jan 23 
Unless otherwise stated, homeworks are due on Thursdays. Chapters and exercise numbers refer to the third edition of the text. 





1/22  Introduction. Euclid's geometry 
Chapter 1  
1/29  Euclid's geometry  Chapter 1  Chapter 1: Exercises 1, 2, 3, 4. Mayor
Exercise 1. To think about (but not submit) Exercises 8 and 11. 

2/5  Logic and Incidence Geometry  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. 

2/12  Interpretation of Axioms Systems, Models, Affine and Projective Planes 
Chapter 2  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. 

2/19  Hilbert's Axioms: Betweenness and Congruence.  Chapter 3  Chapter 2: Exercise 9 (20 points), Exercise 10 (20 points), Exercise 11. (Remember to justify your answers.) Extra credit: Exercise 12. 

2/26  Guest lecturer: Dennis Sullivan  Chapter 3: 1, 6, 15, 20, 24, 28 For a list of Axioms and Propositions in PDF format click here , use right click on list.pdf, and save it. 

3/5  Hilbert Axioms: Continuity and Parallelism  Neutral Geometry 
Chapter 3, 4  Given in class. It is here in jpeg format.  
3/12  Review (3/13 ) Midterm! (3/15)  No homework ! Practice problems for the midterm: 1. Chapter 1, Problems 1, 2, 3. 2. Chapter 2, Problems 7, 10, 11. 3. Chapter 2, Problem 8, 9. 4. Chapter 3, Problems 1, 2, 6. Here there are solutions to some of the exercises (in Word) 

3/19  Neutral Geometry  Sketchpad 
Chapter 4  Chapter 3: Problems 33 and 34 For the interpretation given in Project 2 (Chapter 3) prove that the following axioms are correct statements (10 points each):


3/26  Neutral Geometry 
Chapter 4  Geometer's sketchpad exercises click here. Read the Final Report Proposal and the Sketchpad Project. 

4/2 


4/9  History of the parallel postulate  Chapter 5  Final Report Proposal due ("worth" is ten points of HW) Chapter 4: Problems 1, 3, 15. 

4/16  The discovery of noneuclidean geometry  Chapter 6  SketchPad Project due Chapter 4: Problems 4, 5, 6 

4/23  The discovery of noneuclidean geometry  Chapter 6  Chapter 4: Problem 10. Chapter 5: Problem 8 Chapter 6: Problems 2, 3, 5, 14 •Extra credit (deadline at the end of the course). –Chapter 4: Problems 8 and 9 –Chapter 5: Problem 1 

4/30  Independence of the parallel
postulate  Review 
Chapter 7  Practice exam Final Report Due 

