Lectures related to Equation de continuité

Neural networks under SGD

Explores the optimization of neural networks using Stochastic Gradient Descent (SGD) and the concept of dual risk versus empirical risk.

Surface Integrals, Divergence Theorem

Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.

Electric Fields and Currents

Explores electric fields, energy storage, charge displacement, DC currents, and historical aspects of electricity.

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Green Theorem: Corollary 3 Proof

Demonstrates the relationship between the gradient and the divergence of a scalar field.

Surface Integrals, Divergence Theorem and Stocks' Theorem

Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.

Surface Integrals: Change of Variables

Explores surface integrals, change of variables, and properties of regular surfaces.

Curve Integrals of Vector Fields

Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.

Green Theorems: Divergence Theorem and Identities of Green

Explores the application of Green theorems in 2D and 3D spaces.

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