module3_MAT-232-jan12 - MAT-232 CALCULUS II Module 3Plane...

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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 formfinding derivatives and tangent lines with curves in parametric formcalculating arc length and surface area of curves given in parametric formrecognizing the usefulness of many equations in physics that use the time tfor a parametereasily moving from rectangular to polar coordinates and vice versarecognizing the basic curves of polar coordinates from their equationsgraphing, without the use of a graphing calculator, cardioids, lemniscates, limaçons, etc.calculating the surface area and arc length in polar coordinatesSTUDY MATERIALSTextbook ReadingsStudy 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.ParametricEquationsPolarCoordinatesThomas Edison State College. All Rights Reserved.
Video TutorialsEquationofaTangentLine—Finding the equation of the line tangent to f(x)=xe^xwhen x= 1 (YouTube video, 8:07 min.), KhanAcademy (), -academy.appspot.com/video/equation-of-a-tangent-line?playlist=CalculusPolar Coordinates:PolarCoordinates1

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