MATH 14 Lecture Notes - Lecture 18: Divergence Theorem, Del, Joule
21 Mar 2019
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A. the derivative operator f operates on a function, d dx (x) d dx only makes sense once it. , of one variable f(x: the analog for the multivariable function is the del operator, . For a function of x, y, & z. This also only makes sense if it operates on a function (x, y, z) f. Where, is a vector, f is a scalar, & F: the divergence of a vector field x, y, z) (x, y, z)j (x, y, z)i. Where is a vector, f is a vector, and. + f 3 f 1: f is called the curl of f . (x, y, z)k is. A. the divergence, f , at a point p = x, y, z) how much f expands or contracts at p. F > 0 at p if f expands/diverges/acts more like a source than a sink at p.
