L12_A
1. Definition: Parametrized Surfaces and Regular Parametrized Surfaces
1. Definition: Parametrized Surfaces and Regular Parametrized Surfaces
2. Example: The Tangent Surface
L12_B
1. Proposition: A Regular Parametrized Surface Is Locally
a Regular Surface
1. Proposition: A Regular Parametrized Surface Is Locally
a Regular Surface
2. Definition: Tangent Vectors
L12_C
1. Proposition: Relation Between T_p(S) and dx_q(R^2)
1. Proposition: Relation Between T_p(S) and dx_q(R^2)
2. Proposition: The Tangent Plane to f^{-1}(a) Is the Kernel of df_p