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Course Description Details
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Week
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Topics covered
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1
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Introduction (Functions of one and several variables), Lagrange multipliers.
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2
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Maxima and Minima, Variational notation
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3
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The Euler Lagrange equations (ELE)..
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4
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Special cases and a degenerate case of ELE.
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5
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Invariance of the Euler-Lagrange Equations
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6
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Generalizations: Functionals containing several variables and higher order derivatives.
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7
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The finite dimensional case and Lagrange multipliers.
Single and multiple constaints. Abnormal problems
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8
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The isoperimetric problem (IP)
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9
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Generalizations of the IP.
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10
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Problems with end variable points, natural boundary conditions and transition conditions.
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11
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Transversality conditions
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12
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The Hamiltonian formulation
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13
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The Hamiltonian formulation
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14
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Review
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