MATH 211 Lecture Notes - Lecture 11: 4000 Miles, Paraboloid, Cylindrical Coordinate System
12 Sep 2016
School
Department
Course
Professor
Document Summary
Math 212 section 11. 7 cylindrical and spherical coordinates. Learning objective: the learner will be able to (1) use cylindrical coordinates to represent surfaces in space; (2) use spherical coordinates to represent surfaces in space. The cylindrical coordinate system is an extension of polar coordinates in the plane to three-dimensional space. To convert from rectangular to cylindrical coordinates (or vice versa), use the following conversion guidelines for polar coordinates, as illustrated in the figure. The point (0, 0, 0) is called the pole. Moreover, because the representation of a point in the polar coordinate system is not unique, it follows that the representation in the cylindrical coordinate system is also not unique. Example 1: converting cylindrical coordinates to rectangular coordinates. Convert the point (cid:4666)(cid:886), (cid:2873) (cid:2874) ,(cid:885)(cid:4667) from cylindrical to rectangular coordinates. Example 2: converting rectangular coordinates to cylindrical coordinates. Convert the point ((cid:883), (cid:885),(cid:884)) from rectangular to cylindrical coordinates.
