Concept
Index notation
Related lectures (25)
Matrix Operations: Coefficients, Combinations, and Applications
Covers matrix operations, coefficients, combinations, and applications in various scenarios.
Linear Combinations: Vectors and Matrices
Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.
Solving Systems of Equations with Parameters
Explores solving systems of equations with parameters using matrices and Gaussian elimination.
Notational Meaning in Analyse III
Explores notational meaning in Analyse III through examples of shear flow and rotational equations, emphasizing the significance of vector fields and line integrals.
Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics
Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.
Relativistic Charged Particle Dynamics
Covers the equation of motion for a relativistic charged particle and Lorentz transformations, along with tensors and electrodynamics.
Differential Geometry of Surfaces
Covers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Linear Algebra: Properties and Equations
Introduces algebraic properties, vector equations, and matrix operations.
Faraday's Law of Induction
Explains how time-varying magnetic fields induce electric currents through Faraday's experiments and the third Maxwell's equation.