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Teaching multivariable calculus

I have taught multivariable calculus for three semesters now at MCCC. I love teaching this subject.
I had had many Math courses during my engineering days, but I never understood math at conceptual level. I am sure it has to do with the way it is taught in India. Perhaps, now it is changing, hopefully.

Technology has its underpinnings in calculus. Real world can be better understood once we master calculus, in particular, vector calculus.

I don't remember learning back in my college days the Green's theorem, Stokes' theorem, and divergence theorem. They are so powerful and form the basis for most fundamental laws of physics including Maxwell's equations.

A little book called "div, grad, curl and all that" by h.m.schey is so wonderful in getting a real understanding of multivariable calculus. It is such fun to read this great little book. Schey expounds vector calculus by applying it to electrostatics.

With technology these days, anyone, anywhere in the world can find valuable resources to learn pretty much any subject. Video lectures by Edward Frenkel at Berkeley at http://freevideolectures.com/Course/2411/Multivariable-Calculus-Fall-2009 is what I would recommend anyone to get a real insight into this wonderful subject.

Teaching is the best way to learn anything.
Among all subjects I have learned and taught, I have to admit, multivariable calculus is the subject I most like.

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