Linear Properties of Gradients

Related lectures (30)

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Introduces the gradient concept and the Theorem of Mean Value for functions in several variables.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.

Covers derivable functions, partial derivatives, Jacobian matrix, and rule of composition.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Explains differentiability in LR functions and introduces the Jacobian matrix.

Explores differentiability, gradients, and the Mean Value Theorem in open sets.