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 

2 
9/6, 9/8 
Review of Curves and Surfaces in Calculus: L02: Prerequisites L03: Curves (p.912 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, FrenetSerret equations 
2.1, 2.3 (2.2) 
HW3 (Due 9/30) Solutions 
5 
9/27 9/29 
Review for Midterm 1 Midterm 1 (Solutions) 

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: L1011: The second fundamental form 
7.1, 7.2, 7.3 
HW5 (Due 10/21) Solutions 
8 
10/18, 10/20 
L1213: 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 
L1415: 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) 

11 
Fall Reading Week 

12 
11/15, 11/17 
Review of Midterm 2 L1617: Gauss' Theorema Egregium 
10.1, 10.2 (10.3, 10.4) 
HW8 (Due 11/25) Solutions 
13 
11/22, 11/24 
L1819: The GaussBonnet 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 
L2021: 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. 