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. Thanks for watching! JaberTime