This course covers polar equations and calculus, teaching students how to convert between Cartesian and polar coordinates, find slopes of tangent lines to polar curves, calculate areas enclosed by polar curves, determine areas of polar regions, and find arc lengths of polar curves. The teaching method involves a combination of theory and problem-solving. The course is intended for learners interested in advanced calculus topics related to polar coordinates.
Overview
Syllabus
Q1.
Q2, Cartesian to Polar.
Q3ab.
Slope of the tangent line to the polar curve r = tan(theta) at pi/3.
dy/dx for r = 1/theta at pi.
4a.
4b.
Area Enclosed by a Polar Curve, Calculus 2.
4d.
area of polar curves, calculus 2.
Q5, area of a polar region.
Arc Length of A Polar Curve (proof).
Q7.
Taught by
blackpenredpen
