Explore vector functions in calculus through a comprehensive 30-minute video lecture. Delve into key concepts including limits, derivatives, and integrals of vector functions. Learn how to find the vector function for the curve of intersection between two surfaces. Discover the derivation of both curvature formulas in vector calculus. Practice calculating arc length with two illustrative examples. Master techniques for determining unit tangent and unit normal vectors. Gain a deeper understanding of vector calculus applications in Stewart Calculus Chapter 13, presented by Jonathan Walters.
Overview
Syllabus
Find the Limit of a Vector Function.
Vector Function for the Curve of Intersection of Two Surfaces.
Derivative of a Vector Function.
Derivative of the Vector Function :: r(t) = ta x (tb +t^2 c).
Integral of a Vector Function.
Both Curvature Formulas Derivation :: Vector Calculus.
Arc Length of the Curve :: Two Examples :: Calculus 3.
Find the Unit Tangent and Unit Normal Vectors.
Taught by
Jonathan Walters
