Objective function, Differentiability, The second order

Related lectures (25)

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Explores the second fundamental tensor and its role in calculating normal curvature on surfaces.

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Covers partial derivatives, gradient, and second partial derivatives with their applications.

Covers partial derivatives, Hessian matrices, and their importance for functions with multiple variables.

Explains partial derivatives, Hessienne matrix, and their properties.

Explores simple examples of partial differentiation, demonstrating how to calculate partial derivatives and gradients in various scenarios.

Explores second order approximations for twice differentiable functions using the Hessian matrix.

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

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.