| Instructor / Office / Phone # | Xinwei Yu / 527 CAB / (780)4925731 |
| Email ; Webpage | xinwei2@ualberta.ca ; http://www.math.ualberta.ca/~xinweiyu |
| Location / Time | SAB 336/ TR 11 - 12:20 |
| Office Hours | T 12:30 - 14:30; R 12:30 - 13:30; Or by appointment |
Important Dates:
| Week |
Dates |
Lecture Notes |
Required (optional) Readings in the Textbook |
Homeworks Due on Fridays at 12p in Assignment Box |
| 1 |
9/1 |
L01: Introduction |
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| 2 |
9/6, 9/8 |
Review of Curves and Surfaces in Calculus: L02: Prerequisites L03: Curves (p.9--12 of L03 will be covered in Lecture 4) |
1.1, 1.2 (1.3, 1.4, 1.5) |
HW1 (Due 9/16) Solutions |
| 3 |
9/13, 9/15 |
L04: Surfaces L05: Surfaces (cont) |
4.1, 4.2, 4.3, 4.4, 4.5 (Before Def. 4.5.1) (4.5, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6) |
HW2 (Due 9/23) Solutions |
| 4 |
9/20, 9/22 |
Transition from Calculus to Differential Geometry: L06: Curvature L07: Torsion, Frenet-Serret equations |
2.1, 2.3 (2.2) |
HW3 (Due 9/30) Solutions |
| 5 |
9/27 9/29 |
Review for Midterm 1 Midterm 1 (Solutions) |
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| 6 |
10/4, 10/6 |
L08: The first fundamental form L09: Examples and applications |
6.1 (6.2, 6.3, 6.4, 6.5) |
HW4 (Due 10/14) Solutions |
| 7 |
10/11, 10/13 |
Genuine Differential Geometry Starts Here: L10--11: The second fundamental form |
7.1, 7.2, 7.3 |
HW5 (Due 10/21) Solutions |
| 8 |
10/18, 10/20 |
L12--13: Curvatures for surfaces |
8.1, 8.2 (8.3, 8.4, 8.5, 8.6, 12.1,12.2,12.3,12.4,12.5) |
HW6 (Due 10/28) Solutions |
| 9 |
10/25, 10/27 |
L14--15: Parallel transport and geodesics |
7.4, 9.1, 9.2, 9.3, 9.4 (9.5) |
HW7 (Due 11/7) Solutions |
| 10 |
11/1 11/3 |
Review for Midterm 2 Midterm 2 (Solutions) |
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| 11 |
Fall Reading Week |
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| 12 |
11/15, 11/17 |
Review of Midterm 2 L16--17: Gauss' Theorema Egregium |
10.1, 10.2 (10.3, 10.4) |
HW8 (Due 11/25) Solutions |
| 13 |
11/22, 11/24 |
L18--19: The Gauss-Bonnet Theorem |
13.1 (13.2, 13.3, 13.4, 13.5, 13.6, 13.7, 13.8) |
HW9 (Due 12/2) Solutions |
| 14 |
11/29, 12/1 |
L20-21: Generalizations to hypersurfaces |
Go through the textbook and previous lecture notes. |
|
| 15 |
12/6 |
Review for Final |
Go through the textbook and previous lecture notes. |
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