|
Hmm.... so let me get this straight.
Can somebody provide a YES / NO / MAYBE to the following questions regarding topics and concepts in Calculus? (Disclaimer --- I have studied / will be studying these topics and I do enjoy them. But I just want some clarifications on their applications in economics).
(i) Any use of polar, cylindrical, spherical coordinates? (I can surmise NO, but just want to make sure).
(ii) Even for the calculation of double or triple integrals, would we be considering the region D that is non-rectangular / non-cubic? (i.e. region D is not the set D = {(x, y) : a <= x <= b, c <= y <= d } ? ). I ask this because it was literally living hell to think about how to compute complicated and non-rectangular region D's.
(iii) Any use of parametrized representations of planes and surfaces? And their associated surface integrals? Vector fields? What about curl and divergence?
(iv) OK, the gradient vector is useful --- but it isn't exactly a very profound idea either (i.e. the direction of the gradient is the direction of greatest ascent / increase).
I still can't really wrap my head around why you would seriously need anything more than Calc I to II + a bit more if most of the concepts in Calc III - IV are not even used at all in economic applications!
|