This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...

This Python script demonstrates how to compute key vector calculus operations—gradient, divergence, curl, and Laplacian—using symbolic computation in the SymPy library. These operations are widely ...

Add to directional derivative note the discussion about whether the gradient is a row or a column vector. From Piazza discussion: Is the gradient a row vector or a column vector? (and does it matter?) ...

Description: Functions of several variables: partial derivative, differential; quadratic approximation, extrema; vector calculus, gradient; line, surface and volume ...