| Instructor / Office | Xinwei Yu / 527 CAB |
| Email ; Webpage | xinwei2@ualberta.ca ; http://www.math.ualberta.ca/~xinweiyu |
| Location / Time | SAB 336/ TR 11 - 12:20 |
| Office Hours | T 4p--5p, W11a--12p, R4:30p--5:30p; 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 |
9/5 9/7 |
L01 Introduction: Slides; Lecture Note L02 Prerequisites: Slides (Corrected Sept. 7); Lecture Note |
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| 2 |
9/12 9/14 |
Review of Curves and Surfaces in Calculus: L03 Curves in Calculus: Slides; Lecture Note L04 Surfaces I. Surfaces in Calculus: Slides (Corrected Sept. 14); Lecture Note |
1.1, 1.2 (1.3 -- 1.5) 4.1--4.5 (4.5, 5.1--5.6) |
HW1 (Due 9/22) Solutions (Mistake in Q3 Corrected) |
| 3 |
9/19 9/21 |
L05 Surfaces II. Functions Between Surfaces: Slides; Lecture Note L06 Surfaces III. Isometry: Slides; Lecture Note |
No new sections this week. |
HW2 (Due 9/29) Solutions |
| 4 |
9/26 9/28 |
Simple Differential Geometry: L07 Curves I: Curvature and Torsion. Slides; Lecture Note L08 Curves II: Frenet-Serret, Applications. Slides; Lecture Note |
2.1, 2.2, 2.3 |
HW3 (Due 10/13) Solutions |
| 5 |
10/3 10/5 |
Review for Midterm 1 (Updated after lecture) Midterm 1 (Solutions) |
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| 6 |
10/10 10/12 |
L09 The 1st Fundamental
Form I: Slides; Lecture Note L10 The 1st Fundamental Form II: Slides; Lecture Note |
6.1 (6.2--6.5) |
HW4 (Due 10/20) Solutions |
| 7 |
10/17 10/19 |
Serious Differential Geometry Starts Here: L11 The 2nd Fundamental Form I: Slides (Typo on p.5 corrected); Lecture Notes L12 The 2nd Fundamental Form II: Slides; Lecture Notes |
7.1--7.3 |
HW5 (Due 10/27) Solutions |
| 8 |
10/24 10/26 |
L13 Curvatures I: Slides; Lecture Note Some typos corrected after lecture. L14 Curvatures II: Slides; Lecture Note |
8.1, 8.2 (8.3--8.6) |
HW6 (Due 11/3) Solutions |
| 9 |
10/31 11/2 |
L15 Parallel Transport: Slides; Lecture Note L16 Geodesics: Slides; Lecture Note |
7.4, 9.1--9.4 (9.5) |
HW7 (Due 11/24) Solutions |
| 10 |
11/7 11/9 |
Review for Midterm 2 Typo corrected after lecture. Midterm 2 (Solutions) |
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| 11 |
Fall
Reading Week |
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| 12 |
11/21 11/23 |
L17
Gauss's Remarkable Theorem I: Slides; Lecture Note L18 Gauss's Remarkable Theorem II: Slides; Lecture Note |
10.1, 10.2 (10.3, 10.4) |
HW8 (Due 12/1) Solutions |
| 13 |
11/28 11/30 |
L19 Gauss-Bonnet I: Slides; Lecture Note L20 Gauss-Bonnet II: Slides; Lecture Note |
13.1 (13.2--13.8) |
HW9 (Due 12/8) Solutions |
| 14 |
12/5,
12/7 |
Review for the Final I Review for the Final II: Examples |
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