In this video on #TensorCalculus, I develop the covariant derivative for both a contravariant tensor and a covariant tensor (the formulas are different in either case).
Questions/requests? Let me know in the comments!
Pre-reqs: The previous videos in the playlist (especially the one on transforming Christoffel symbols) - https://www.youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_
Lecture Notes: https://drive.google.com/file/d/1CKmpoq2AAYiTAB5tZETqPoIfF5_3mIgB/view?usp=drive_link
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Matthew
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Andy Johnston
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Patrick Gibson