Fréchet derivative

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Related lectures (32)

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Optimal Control Theory: OCPs

Covers Optimal Control Theory, focusing on Optimal Control Problems (OCPs) and the calculus of variations.

Descent methods and line search: First Wolfe condition

Introduces the First Wolfe condition to ensure a proportional decrease in the objective function relative to the step length.

Curvilinear Integrals

Covers the calculation of curvilinear integrals for a continuous function in R^n and the interpretation of the integral as the sum of small segments along a curve.

Directional Derivatives

Explores directional derivatives in two-variable functions and extremum points.

Tangent Planes and Derivatives

Explores directional derivatives, tangent planes, and normal vectors in surfaces.

Advanced Analysis II: Hessians and Directional Derivatives

Explores Hessians, directional derivatives, and function continuity in advanced analysis.

Differential Calculation: Notion of Derivative

Explores differential calculation and the notion of derivative in advanced analysis II.

Partial Derivatives and Gradient

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

Objective function, Differentiability, the first order

Covers directional derivative, differentiability, and gradient matrices, emphasizing the first order.

Linear Algebra: Systems of Equations

Explores solving systems of equations using matrices and determinants.