Lectures related to Continuum Media, Introduction

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.

Green Theorems: Divergence Theorem and Identities of Green

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

Vectors and Tensors: Derivatives and Transformations

Explores gradient, divergence, and integral theorems in vector calculus.

Surface Integrals: Parameterization and Divergence Theorem

Explores surface integrals using parameterization and the divergence theorem, with practical examples included.

Differential Operators: Gradient and Divergence

Introduces differential operators, gradient, and divergence in vector fields.

Information Measures

Covers information measures like entropy, Kullback-Leibler divergence, and data processing inequality, along with probability kernels and mutual information.

Second Principle: Entropy

Explores the second principle of thermodynamics, emphasizing entropy's role in system evolution and equilibrium.