- #1
BiGyElLoWhAt
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www.youtube.com/watch?v=oW4jM0smS_E
That's the video I'm referencing in particular, but 1 and 3 are necessary prereqs if you're new to the matter (as I am).
He goes through and derives the product rule and power rule for polynomials using algebra.
My question is this: why don't we teach calculus in this way first? It gives a more intuitive understanding in my opinion, and it uses readily accessible math that anyone in a first year calc course should be versed in.
Thoughts?
(I guess this is kind of a calculus question, but it's a differential geometry course... do what you will mods =D)
That's the video I'm referencing in particular, but 1 and 3 are necessary prereqs if you're new to the matter (as I am).
He goes through and derives the product rule and power rule for polynomials using algebra.
My question is this: why don't we teach calculus in this way first? It gives a more intuitive understanding in my opinion, and it uses readily accessible math that anyone in a first year calc course should be versed in.
Thoughts?
(I guess this is kind of a calculus question, but it's a differential geometry course... do what you will mods =D)