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AU Mathematics III Sem III
Unit 1 : Vector Calculus(Differentiation of vectors, curves in space, Velocity and acceleration, Relative velocity and acceleration, Scalar and Vector point functions, Vector operator ", " applied to scalar point functions, Gradient, " applied to vector point functions, Divergence and curl, Physical interpretations of ", F and " F, " applied twice to point functions, " applied to products of point functions, integration of vectors, Line integral, Circulation, Work, Surface integral-flux, Green s theorem in the plane, Stoke s theorem, Volume integral, Divergence theorem, Irrotational and solenoidal fields, Green s theorem, Introduction of orthogonal curvilinear coordinates : Cylindrical, Spherical and polar coordinates)
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