wk | date | Tuesday | Thursday |
1 | 9/3 | 1.1 Introduction,1.2-3 Parametrizedcurve-arclength | 1.4 Vectorproduct,1.5 Characterization of curves |
2 | 9/10 | 2.2, App B Def. Regular Surface, Differential | 2.2 Regular Surfaces |
3 | 9/17 | 2.3 Differentiable map on a surface | 2.4 Tangent plane and differential |
4 | 9/24 | Contractions, Inverse function theorem | Exam 1 |
5 | 10/1 | 2.5-6 First Fundamental form, Orientation | 3.2 Second Fundamental form |
6 | 10/8 | 3.2, Appendix A | 3.3 The Gauss map |
7 | 10/15 | Exam 2 | |
8 | 10/22 | 4.2 | 4.3 |
9 | 10/29 | 4.4 | 4.4,4.5 |
10 | 11/5 | Appendix, 4.6 | Exam 3 |
11 | 11/12 | 5.3 | 5.4 |
12 | 11/19 | No class | No Class |
13 | 11/26 | 5.2 | 5.10 |
14 | 12/3 | Riemann Geometry | Riemann Geometry |
wk | date | Homework (preliminary) | Solutions |
1 | 9/4 | Review Vector Calculus, dot and cross product, normals, parametrized curves and arclength. | |
2 | 9/11 | 1.2: 4, 1.3: 2,4,10, 1.4: 2,6,12, 1.5: 1,2,5,7,8,12, | hw1.pdf |
3 | 9/18 | 1.7: 1,15a, 2.2: 1,3,6,7,8,10,11,13,16, | hw2.pdf |
4 | 9/25 | 2.3: 1,2,3,8, 2.4: 1-3,7,9,13a,16,17,24,26, | hw3.pdf |
5 | 10/2 | ||
6 | 10/9 | 2.5: 1,3,5,9,11 | |
7 | 10/16 | 3.2: 1,4,5,6,7,8,13,14,16,17, 3.3: 1,2,3,4,6,7 | |
8 | 10/23 | ||
9 | 10/30 | 4.2: 1,3,4,5,6,10, 4.3: 1,3,4,6,7,8 ; | |
10 | 11/6 | 4.4: 1,2,5,8,9,15a | |
11 | 11/13 | ||
12 | 11/20 | No Homework | |
13 | 11/27 | TBA | |
14 | 12/4 | TBA |