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Related lectures (29)
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Green Theorems: Gauss Application
Covers the Green and Gauss theorems, focusing on their applications in vector calculus.
Understanding Surface Integrals
Explores surface integrals, emphasizing physical interpretation and mathematical calculations in vector fields and domains.
Surface Integrals, Divergence Theorem
Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.
Understanding Positive and Negative Orientation in Curves
Explores positive and negative orientation in curves, emphasizing their impact on tangent and normal vectors.
Tangent and Normal Vectors: Curves in R^2
Covers the parameterization of curves, tangent and normal vectors, simple closed curves, exterior normal, regular curves, and domains in R^2.
Neural networks under SGD
Explores the optimization of neural networks using Stochastic Gradient Descent (SGD) and the concept of dual risk versus empirical risk.
Conformal Ward Identities
Covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities.
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.
Surface Integrals: Parameterization and Divergence Theorem
Explores surface integrals using parameterization and the divergence theorem, with practical examples included.