Рет қаралды 192,163
Spherical Coordinates is a new type of coordinate system to express points in three dimensions. It consists of a distance rho from the origin to the point, an azimuthal angle phi between this line and the z axis, and a radial angle theta which is analogous to the angle in polar coordinates when you project onto the xy plane. In this video we will talk about integrating regions in spherical coordinates. Much like polar the conversion introduces a factor of rho squares sin phi in the integrand. The choice of which coordinate system to use depends on the symmetries of the region involved and the types of terms in the integrand, but in many cases spherical coordinates are easier to integrate than trying to deal with the same region in cartesian or polar coordinates.
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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
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