Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Polar Equations and Calculus

blackpenredpen via YouTube

Overview

Explore polar equations and their applications in calculus through this comprehensive 1.5-hour tutorial. Dive into converting between Cartesian and polar coordinates, calculate slopes of tangent lines to polar curves, and master the techniques for finding dy/dx. Learn to determine the area enclosed by polar curves and regions, and understand the proof for arc length of polar curves. Tackle a variety of problems, including specific examples like the polar curve r = tan(theta) at pi/3 and r = 1/theta at pi, to solidify your understanding of these advanced mathematical concepts.

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

Reviews

Start your review of Polar Equations and Calculus

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.