This course teaches students how to convert polar equations to Cartesian equations, find the slope of tangent lines to polar curves, and calculate derivatives in polar coordinates. The course covers skills such as converting between polar and Cartesian coordinates, finding derivatives in polar form, and understanding the geometry of polar curves. The teaching method involves step-by-step explanations and examples to illustrate the concepts. This course is intended for students studying calculus or anyone interested in learning about polar equations and their applications.
Overview
Syllabus
Convert r = 4sec(theta) to a cartesian equation.
Convert a polar equation to a cartesian equation: circle!.
Convert r=tan(theta)*sec(theta) to Cartesian.
Slope of the tangent line to the polar curve r = tan(theta) at pi/3.
dy/dx for r=sec^2(theta).
Convert r^2cos(2theta)=1 to Cartesian.
dy/dx for r = 1/theta at pi.
Taught by
blackpenredpen
