Explore calculus concepts with parametric equations in this comprehensive video lecture. Learn to differentiate between parametric and Cartesian forms, calculate first and second derivatives, determine area and arc length, and find tangent lines for parametric curves. Master techniques for converting between parametric and Cartesian equations, including exam-style problems. Discover how to express y in terms of x from parametric equations and understand the implications of traveling backwards on parametric curves. Apply these concepts to real-world examples, including a unique Uniqlo x KAWS Snoopy shirt design problem.
Calculus - Calculus with Parametric Equations
Overview
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
