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Calculus - Calculus with Parametric Equations

blackpenredpen via YouTube

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Overview

This course on Calculus with parametric equations aims to teach students the differences between parametric and Cartesian equations, how to find the first and second derivatives of parametric equations, calculate areas and arc lengths, determine the equation of the tangent line to a parametric curve, and convert parametric equations to Cartesian form. The teaching method includes video lectures and exam problems. This course is intended for learners interested in advanced calculus topics and parametric equations.

Syllabus

Parametric vs. Cartesian (vid#3): First Derivative dy/dx.
Parametric vs. Cartesian (vid#4): Second derivative d^2y/dx^2.
Parametric vs. Cartesian (vid#5): Area.
Parametric vs. Cartesian (vid#6): Arc Length.
Sect 10.2#3 equation of the tangent line to a parametric curve.
10.2#13, derivative of parametric equations.
10.2.15 1st and 2nd derivative of a parametric equation.
convert parametric to cartesian (an exam problem).
convert parametric to cartesian (an exam problem), x=1/(1+t), y=1/(1-t).
Write y in terms of x from a parametric equation, uniqlo x kaws, snoopy shirt.
Travel backwards on a parametric curve, uniqlo x kaws, snoopy shirt.
Equation of the tangent line on a parametric curve.

Taught by

blackpenredpen

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