Estb. 1882

University of the Punjab

MATH-304 Vector and Tensor Analysis

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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