| Jan. | Morning | Afternoon | Assignments |
| 3 | 1.1-1.2 Intro. to Axiom Systems | Video : Donald in Mathmagic Land and Exp-1: Intro. to Cabri |
1. Read 1.1-1.3; 1.2: 1,2*,3*,4,5,7,8 |
| 4 |
1.3 Finite Projective Planes | Presentation Conferences, finish Exp-1 |
2. Read 2.1-2.3 1.3: 4-6,8,15*,16, |
| 5 | 2.1-2.3 Euclid's Geometry |
Exp-2: Hyperbolic Geometry Proof Writing in Geometry |
3. Read 2.4-2.5; 2.2: 1, 2*, 3a (use DGS) ; Exp-2 |
| 6 |
2.4-2.5 S. Parallels, Asy. Triangles |
Problem Session: Come prepared to present any of the problems assigned so far. | 4. Read 2.6-2.8; 2.4: 5*,6; 2.5: 2,4*,6 |
| 7 | 2.6-2.8 Saccheri Quadrilaterals,
Triangle Area, Ultraparallels |
2.9 Elliptic Geometry Video: NonEuclidean Universe |
5. Read 2.9, 10, 3.1-3.2 2.6: 1*,2,4,7,8 2.7: 1*,2,4,7 2.8: 4*,5*,6 |
| 10 | 2.10, Non-Euclidean Geometries 3.1-3.2 Intro. to Symmetry |
3.3-3.4 More Symmetry, Video: Dihedral Kaleidoscopes |
6. Read 3.5-3.6 Exp-3, 3.3: 11, 12, 13, 14, 15, 16*, 17* |
| 11 | 3.5-3.6 Analytic Model |
Presentations: (1) Early Geometry, (2) Development of Non-Euclidean Geometry |
7. Read 3.7 3.5: 1-5,6*,14,16; 3.6: 1,3*,4,5,9 |
| 12 | 3.7 Isometries | Problem Session | 8. Read 3.8 3.7: 1*,3, 4*,5,6,8 |
| 13 | 3.8 Direct Isometries | Exam 1 Out | Exam 1 |
| 14 |
Office Hours | Office Hours until 3:00 p.m. Exam 1 Due 5:00 p.m. |
9. Read 3.9 3.8: 1,2,3,5*,7, 15*,16,18 |
| Date | Morning | Afternoon | Assignments |
| 17 | 3.9 Indirect Isometries |
Presentation: (3) Paper-Folding Geometry |
10. Read 3.14 3.9: 1,2a*,5,6*,9, 11a,b |
| 18 |
3.14 3-D Isometries |
Presentations: (4) Symmetry in Culture, (5) Frieze & Wall Patterns, Plane Tilings |
11. Read 3.12-13 3.8: 13, 21 3.9: 3, 8*, 14* |
| 19 | 3.12-3.13 Similarities & Affinities | Presentation: (6) Intro to Projective Geometry: Art to Math |
12. Read 5.1 3.12:1,2,7,12* 3.13: 5,7,8,11*
|
| 20 | 5.1 Intro. to Chaos | Problem Session | 13. Read 5.2 5.1: 9-12; Cabri: Submit an electronic kaleidoscope to the drop box |
| 21 | 5.2 New Geometry |
Presentation: (7) Dimension Four & More |
14. Read 5.3-5.4 5.2: 1-12, 13*, 14-15, 19, 20, 21* |
| 24 | 5.3-5.4 Dimension, IFS | Olafractal Exploration | 13. Read 5.5-5.6 5.3.2: 11a, 12, 14, 17, 19 5.3.3: 20, 22, 28, 30, 31, 33 |
| 25 | 5.5 Fractals & Their Applications | Presentations: (8) Fractals in Culture (9) More about Projective Geometry |
14. 5.4: 2,3, 14a-c, 15a, 17a |
| 26 |
Problem Session | Exam 2 Out | Exam 2 |
| 27 |
Office Hours | Office Hours Exam 2 Due, 5:00 p.m. |
Exam 2 Due |
| 28 | In-class Short-Essay Final Exam | ||