| 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. |
|
|
|
|
|
||
| 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. (Remember to justify your answers.) 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 |
||
|
|||||