Khan Academy
Khan Academy: Linear Algebra: Vector Transformations
Video first reviews the meaning of functions and talks about functions mapping sets from R^n to R^m. Gives examples of writing functions in vector notation. Explains that in linear algebra a transformation is just a function operation on...
Khan Academy
Khan Academy: Calculus: Functions for Parametrization With Two Parameters
Video continuing to show how to parameterize a torus using two parameters by writing the position vector valued functions. [16:32]
Khan Academy
Khan Academy: Calculus: Derivative of a Position Vector Valued Function
Video lesson defining the derivative of a position vector valued function by visualizing it and setting it up. [14:45]
Khan Academy
Khan Academy: Calculus: Differential of a Vector Valued Function
Video lesson reviewing position vector valued functions and their derivatives. Explanation does not contain any specific examples. [5:04]
Khan Academy
Khan Academy: Calculus: Vector Valued Function Derivative Example
Video lesson solving for the derivatives for a two specific vector-valued functions that describe the same path but have different velocities. [12:45]
Khan Academy
Khan Academy: Function for a Parametrization of Two Parameters
This video shows how to determine a position vector-valued function for a parametrization of two parameters.