Parametric Surfaces and their Area

0:00 Introduction.
0:11 Parametric Surfaces and their Area.
2:19 Find a parametric representation of the shere x^2 + y^2 + z^2 = a^2.
5:38 Find a parametric representation for the Cylinder: x^2 +y^2 = 4 0" less than or equal to" z less than or equal to" 1.
7:14 Find a parametric representation for the Surface z = 2 SRT ( x^2 +y^2), that is, the top half of the Cone Z^2 = 4x^2 +4 Y^2.
9:54 Tangent Planes.
17:06 Find the tangent plane to the surface with parametric equations; x = u^2, y = v^2, z = u +2v at the point (1, 1, 3).
20:15 Surface Area.
26:00 Definition of the Surface Area.
27:11 Find the Surface Area of a Sphere of radius a.
32:20 Surface Area of the graph of a function. " specifying the parameters". Very important Formula for A(S).
34:38 Find the area of the part of the paraboloid Z = x^2 +y^2 that lies under the plane z = 9.

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