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In this program

Euler–Lagrange equation
Variational principles
Brachistochrone and classical problems
Constraints
Lagrange multipliers in variational problems
Hamilton's principle
Mechanics (introduction)
Rayleigh–Ritz method (introduction)

Calculus of variations

Brachistochrone and classical problems

Methods of applied mathematics · Standard syllabus

Topic

Brachistochrone and classical problems

Practice by unit: Calculus of variations

Undergraduate Methods of Applied Mathematics — scope drawn from open applied methods notes and typical US applied mathematics methods syllabi.

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