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 ...

Visual representation of scalar and vector fields using Numpy's contour and quiver functions. Comparison of vector field computed using Numpy's gradient function with the same vector field plotted ...

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 ...