Khan Academy: Differential of a Vector Valued Function

Video lesson explaining position vector-valued functions by visualizing and setting one up. [7:45]

Video lesson reviewing position vector valued functions and their derivatives. Explanation does not contain any specific examples. [5:04]

Video lesson solving for the derivatives for a two specific vector-valued functions that describe the same path but have different velocities. [12:45]

Video lesson defining the derivative of a position vector valued function by visualizing it and setting it up. [14:45]

Video showing how to take the partial derivatives of a generalized vector-valued function by taking the partial derivative of each part of the function. Video is meant as a build-up to the videos on surface integrals. [10:07]

A more formal understanding of functions. This video introduces the term codomain and contrasts it with the term range. It also introduces the terminology scalar-valued function, real-valued function, and vector-valued function. [16:01]

A continuation of the video Limit Examples (Part 1), also from the Khan Academy. Addresses the case where the limit of a function is equal to infinity. Examples are explained both graphically and tabularly. [6:58]

Video lesson defining the derivative of a position vector valued function by visualizing it and setting it up.

Video first gives an intuition of and defines the Dirac delta function. Includes graphing notation of the Dirac delta function and shows how to shift the Dirac delta function. Gives example of relating a real world scenario to...

Video continuing to show how to parameterize a torus using two parameters by writing the position vector valued functions. [16:32]