Math 618 Suggestions for projects
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Fréchet and Gâteaux derivatives
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differential geometry: geodesics
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Plateau's problem: minimal surfaces
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Lagrange multipliers
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Weierstrass's E function: sufficient conditions for extrema
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SturmLiouville problems
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Hamilton's principle: classical mechanics
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Noether's theorem: invariants and symmetries
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continuum mechanics
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HamiltonJacobi theory
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quantum mechanics
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numerical solutions: dynamic programming
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problems in control theory
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problems in biology
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problems in architecture
