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YT 6 minutes 41 seconds Faculty of Khan Introduction to Calculus of Variations YT 7 minutes 50 seconds Faculty of Khan Derivation of the Euler-Lagrange Equation | Calculus of Variations YT 7 minutes 10 seconds Faculty of Khan The Geodesic Problem on a Plane | Calculus of Variations

YT 10 minutes 1 second Faculty of Khan The Geodesic Problem on a Sphere | Calculus of Variations YT 4 minutes 21 seconds Faculty of Khan Beltrami Identity Derivation | Calculus of Variations YT 12 minutes 14 seconds Faculty of Khan The Brachistochrone Problem and Solution | Calculus of Variations

YT 12 minutes 59 seconds Faculty of Khan Euler-Lagrange Equation: Constraints and Multiple Dependent Variables YT 14 minutes 21 seconds Faculty of Khan The Geodesic Equation: Introduction and Derivation YT 14 minutes 4 seconds Faculty of Khan The Catenary Problem and Solution

YT 13 minutes 14 seconds Faculty of Khan Isoperimetric Problems | Calculus of Variations YT 12 minutes 48 seconds Faculty of Khan Deriving the Second Variation | Calculus of Variations