Continuity Equations: Internal Entropy Production

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Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Covers the physics of continuum media, temperature gradients, entropy production, and continuity equations.

Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Covers tensor analysis, kinematics, and fluid mechanics in continuum mechanics.

Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.

Covers the definition of current density and the general continuity equation with the effect of convection.

Covers the definition and use of coordinate systems and applications in bases and linear equations.