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Lecture
Calculus of Variations and Euler's Elastica
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Calculus of Variation and Euler's Elastica
Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.
Calculus of Variations and Euler's Elastica
Explores variational methods, Euler's Elastica, numerical and analytical methods, and the buckling of slender structures.
Calculus of Variations: Euler's Elastica
Covers Euler's Elastica and the equilibrium shape of a bent beam using variational/energy methods.
Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Calculus of Variations and Euler's Elastica
Explores the calculus of variations and Euler's Elastica in the context of beam equilibrium and inextensible elastic curves under large rotations.
Equilibrium in 3D: System Isolation and Constraints
Covers the equilibrium conditions in 3D, system isolation, free-body diagrams, and constraints.
Molecular dynamics under constraints
Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.
Finite Elements: Elasticity and Variational Formulation
Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.
Conservation of Mechanical Energy
Explores the conservation of mechanical energy and its application in solving physics problems involving work, stability, and energy transformations.
Scaling & Renormalization in Statistical Mechanics
Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.