MAT-232: CALCULUS IIModule 3—Plane Curves, Parametric Equations, and Polar CoordinatesTOPICSModule 3 covers the following topics:●identifying curves in parametric form by eliminating the parameter and expressing the curve in standard form●finding derivatives and tangent lines with curves in parametric form●calculating arc length and surface area of curves given in parametric form●recognizing the usefulness of many equations in physics that use the time tfor a parameter●easily moving from rectangular to polar coordinates and vice versa●recognizing the basic curves of polar coordinates from their equations●graphing, without the use of a graphing calculator, cardioids, lemniscates, limaçons, etc.●calculating the surface area and arc length in polar coordinatesSTUDY MATERIALSTextbook Readings●Study sections 9.1, 9.2, 9.3, and 9.4 in the course textbook. Then read the Technical Commentary topics given below.Technical CommentaryRead the following brief commentary topics for further explanations and notes on the material covered in this module. Following the commentary are video tutorials and suggested Self-Check Exercises. Be sure to work through these practice exercises to help solidify the skills learned in the module and to prepare for the module-ending written assignment.●ParametricEquations●PolarCoordinatesThomas Edison State College. All Rights Reserved.