MAT-232-OL Module 3 - MAT-232 CALCULUS II Module 3Plane...

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MAT-232: CALCULUS II Module 3—Plane Curves, Parametric Equations, and Polar Coordinates TOPICS Module 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 coordinates STUDY MATERIALS Textbook 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 Commentary Read 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. Parametric EquationsPolar CoordinatesCopyright © 2016 by Thomas Edison State University. All rights reserved.
Video Tutorials Equation of a Tangent Line—Finding the equation of the line tangent to f(x)=xe^xwhen x= 1 (YouTube video, 8:07 min.), KhanAcademy (), Polar Coordinates: Polar Coordinates 1—Introduction to polar coordinates (YouTube video, 10:20 min.),

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