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“Alternate Representations: Parametric and Polar Curves” is an introduction to the algebra and differential calculus of these topics. Methods presented vary from the traditional, such as polar graph paper, to the use of technology, such as determining an interval for which a curve is traversed exactly once. Infinitesimals make only a brief appearance in the development of a formula for tangent lines. A review of conic sections precedes the presentation of conic sections in polar coordinates. Note that integration is not required for this chapter and, as a result, it can be covered earlier if desired. |
