Text: Cederberg, A Course in Modern Geometries, 2nd Ed.
Geometry References
| Day | Morning | Afternoon | Assignments |
| Tu. 2 | 1.1-1.2 Intro. to Axiom Systems | Exploration 1: Intro. to Cabri & Video? |
|
| We. 3 | 1.3 Finite Projective Planes | 2.1-2.2 Euclid’s Geometry,Exploration 2: Hyperbolic Geometry | 2. Read 2.1-2.4 1.3: 4-6,8,15*,16, Exp. 2 |
| Th. 4 | 2.3-2.4 Hyperbolic Axiom, Sensed Parallels | Proof writing in Geometry and Presentation Conferences | 3. Read 2.5-2.6; 2.2: 1, 2*, 3a (use Cabri); 2.4: 5*,6 |
| Fr. 5 | 2.5-2.6 Asy. Triangle, Saccheri Quadrilaterals | Problem Session: Come prepared to present any problem assigned so far. | 4. Read 2.7-2.8; 2.5: 2,3*,6; 2.6: 1*,2,4,7,8 |
|
2.7-2.8 Triangle Area, Ultraparallels | 2.9 Elliptic Geometry | 5. Read 2.9-3.2; 2.7: 1,2,4,7; 2.8: 4*,5*,6; |
| Tu. 9 | 2.10, 3.1-3.2 Intro. to Symmetry | 3.3-3.4 More Symmetry | 6. Read 3.5-3.6 Exp. 3, 3.3: 9,11-15,16*,17* |
| We.10 | 3.5-3.6 Analytic Model | Problem Session | 7. Read 3.7 3.5: 1,5,6,14*,16 3.6: 1,3* |
| Th.11 | 3.7 Isometries | 1st Take-Home Exam | Exam 1 |
| Fr. 12 | Office Hours | Exam 1 Due | 8. Read 3.8 3.7: 1*,3,5,6,8* |
| Mo.15 | 3.8 Direct Isometries | Presentations: (1) Early Geometry, (2) Development of Non-Euclidean Geometry | 9. Read 3.9; 3.8: 1,2,3,5*,7,13, 15*,16,18,21 |
| Tu.16 | 3.9 Indirect Isometries | Presentation: (3) Paper Folding Geometry | 10. Read 3.14; 3.9: 1,2a,5,8*,9,11*(a&b),13 |
| We.17 | 3.14 3-D Isometries | Presentations: (4) Symmetry in Culture, (5) Frieze & Wall Patterns, Plane Tilings | 11. Read 3.12-13 |
| Th.18 | 3.12-3.13 Similarities & Affinities | Problem Session | 12. Read 5.1; 3.12: 2,7,12* 3.13: 3,5,7,8,11* |
| Fr.19 | 5.1 Intro. to Chaos | Presentation: (6) Dimension Four & More plus Demo of Cabri 3-D by Richard Allen | 13. Read 5.2; 5.1: 9-12 |
| Mo.22 | 5.2 New Geometry | Presentation: (7) Fractals in Culture | 14. Read 5.3-5.4; 5.2: 1-5, 19, 21* |
| Tu. 23 | 5.3-5.4 Dimension, IFS | Olafractal Exploration | 15. Read 5.5-5.6 5.3: 13*, 15*, 16, 18, 20, 26-28a, 30, 31 |
| We.24 | 5.5 Fractals | Problem Session | 16. 5.4: 3,4,5,16,17 |
| Th.25 | Catch-up & Review | 2nd Take-Home Exam | Exam 2 |
| Fr.26 | Office Hours | Exam 2 Due | |
| Sa.27 | 10:30-12:30: In-class Essay Exam |