In this lecture, students learn how to use spherical coordinates to represent points in space using distance to the origin and two angles. The lecture explains how to set up problems using these new coordinates and how to find surface area of objects in space. Students are taught how to slice objects in space and integrate using the volume element of rho, phi, and theta. The lecture also covers examples of finding equations for certain shapes, including cones and the xy-plane.
Learn how to use spherical coordinates and their notation, how to set up problems using these new coordinates, and how to find surface area of objects in space.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 21, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.