L17_A
1. Definition: Orientable Surface
1. Definition: Orientable Surface
2. Example: Surface Covered by One Parametrization
L17_B
1. Example: Surface Covered by Two Parametrizations
1. Example: Surface Covered by Two Parametrizations
2. Proposition: A Surface Is Orientable if and only if
It Has a Differentiable Unit Normal Vector Field
L17_C
1. Proposition: A Surface Is Orientable if and only if
It Has a Differentiable Unit Normal Vector Field (cont.)
1. Proposition: A Surface Is Orientable if and only if
It Has a Differentiable Unit Normal Vector Field (cont.)
2. Example: Mobius Band