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calculus-of-variations

The Euler-Lagrange equation

taught

Taught in

The Euler-Lagrange equation
Advanced Multivariable Calculus

Requires

the-first-variation required

Required by

Geodesics and the metric required
Isoperimetric constraints and Lagrange multipliers for functionals required
Noether's theorem — symmetry and conservation required
Several dependent variables required
The brachistochrone and the catenary required

Local knowledge map

Local knowledge map

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.