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Related lectures (29)
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Linear Equations: Matrix Notation & Solutions
Covers matrix notation for linear equations, solutions, and geometric interpretations.
Differentiability and Partial Derivatives
Explores differentiability in two variables and the chain rule for compositions.
Rotating Vectors: Fish Formula
Covers the interpretation of rotation in a coordinate system and the fish formula.
Riemann Tensor and Ricci Scalar
Covers the properties of the Riemann tensor and Ricci scalar in normal coordinates.
Tensors and Lorentz Transformations
Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.
Discrete Variables: Spatial Arrangement and Neighbourhood
Covers geometric properties, spatial arrangement, autocorrelation, and neighbourhood analysis in geographic information systems.
General Covariance in Gravitational Field
Explores general covariance, Riemann tensor, Bianchi identities, and Einstein tensor in gravitational field.
Lie Algebra: Basics and Applications
Covers the basics of Lie algebra and its applications in linear equations and Einstein tensor calculations.
Mechanics of Slender Structure
Covers the expression of the Kirchhoff-St. Venant energy in a covariant setting and the equilibrium equations for spherical shells, among other topics.
Continuum Mechanics: Mass Conservation
Explores mass conservation in continuum mechanics, covering stress, dynamics, constitutive laws, and solid deformation.
