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Vector Integration Line integrals Surface area and surface integrals Volume integrals Integral Theorems Green’s theorem Gauss divergence theorem Stoke’s theorem Curvilinear Coordinates Orthogonal coordinates Unit vectors in curvilinear systems Arc length and volume elements The gradient, divergence and curl Special orthogonal coordinate systems Tensor Analysis Coordinate transformations Einstein summation convention Tensors of different ranks Contravariant, covariant and mixed tensors Symmetric and skew symmetric tensors Addition, subtraction, inner and outer products of tensors Contraction theorem, quotient law The line element and metric tensor Christoffel symbols |
Credit hours/ Marks:- 3 |
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