Oxford Calculus: Jacobians Explained - YouTube
University of Oxford mathematician Dr Tom Crawford explains how to calculate the Jacobian for a 2D coordinate change and applies the general formula to polar...
University of Oxford mathematician Dr Tom Crawford explains how to calculate the Jacobian for a 2D coordinate change and applies the general formula to polar coordinates. Test yourself with some exercises on calculating Jacobians for parabolic, hyperbolic and spherical polar coordinates with this FREE worksheet in Maple Learn: https://learn.maplesoft.com/doc/yt882472is/trm-jacobian-worksheet We begin with a discussion of when it is appropriate to change coordinates in an integral and how area calculations work in general. This is then exemplified with the unit circle and switching from…
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