CalcBLUE 2 : Ch. 9.3 : Gradients & Level Sets

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It seems clear there is a relationship between gradient vectors and level sets. What is it? You're going to want to vrush up on your dot products as we dig into derivatives, gradients, and level sets.
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Alan Edelman and Steven Johnson of MIT gave a mini course in much more depth on related topics ("Matrix Calculus") and their applications in the Winter 2023 intersession; it's available on the MIT OCW website at

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