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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: Linear Algebra: A More Formal Understanding of Functions
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]
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.