Uploaded March 2019 | Updated September 2026, 2 weeks ago

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In this video, I go over concepts related to coordinate transformations and curvilinear coordinates. I begin with a discussion on coordinate transformations, after which I move on to curvilinear coordinates.

I give 3 important examples of curvilinear coordinates: polar, cylindrical, and spherical. Afterwards, I finish the video by defining the Jacobian matrix and its determinant, the Jacobian.

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Pre-reqs: The previous videos in the playlist - youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_
Lecture Notes: drive.google.com/open?id=1rrdneshnzStDXi62CTEURivd9uMYwM-M
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