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This video introduces the #MaterialDerivative and provides some intuition with derived examples using temperature and velocity. Essentially, the material derivative of a quantity carried by the particle in a substance in which that quantity varies is the combination of the intrinsic time variation of the system and the movement of the particle across the spatial gradient of the quantity.

Questions/requests? Let me know in the comments!

Pre-reqs: Basic understanding of ordinary and partial derivatives.

Lecture Notes: https://drive.google.com/file/d/1hqF3...
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EDIT: at 9:40, I made a mistake with the derivative and forgot that there was an additional factor of 3 out front! Thanks to Astrid below for pointing it out!