Gradient: Scalar Field

Related lectures (21)

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Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Explores the existence of the gradient in R2 and its implications on derivability and directional derivatives.

Explores the definition of connections for smooth vector fields on manifolds.

Explores differentiability in functions and the role of gradients in directional derivatives.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Explores advanced Matplotlib functions for precise function representation and visualization of scalar fields in 2D and 3D.

Covers methods of demonstrations and differential calculus of functions of several variables.

Covers the definition of directional derivatives and their applications in two dimensions.

Explores partial derivatives, gradient, directional derivatives, and differentiability in determining slopes.