Vector Analysis: Syllabus
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Scalar and vector fields
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Differentiation of a vector fields of a scalar variable
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Gradient in cartesian and cylindrical coordinates
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Divergence in cartesian and cylindrical coordinates
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Curl in cartesian and cylindrical coordinates
- Higher order derivatives
- Vector identities and Vector equations
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Application to geometry
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Curves in space
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Curvature and torsion
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Serret-Frenet formulae
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Gauss and Stokes’ theorems
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Green’s identities