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1.1 Elementary row and column transformations, Rank of matrix
1.2 Linear dependence, Consistency of linear system of equations, Characteristic equation
1.3 Cayley-Hamilton theorem
1.4 Eigen values and Eigen vectors, Diagonalization
1.5 Complex and unitary matrices
2.1 Leibnitz theorem
2.2 Partial Differentiation
2.3 Euler’s theorem, Change of variables, Expansion of functions of several variables
3.1 Jacobian
3.2 Approximations and errors, Extrema of functions of several variables
3.3 Lagrange method of multipliers
4.1 Double and triple integrals, Change of order, Change of variables
4.2 Beta and gamma functions, Application to area, volume
4.3 Dirichlet integral and applications
5.1 Point functions, Gradient, divergence and curl of a vector and their physical interpretation
5.2 Line, surface and volume integrals
5.3 Green’s theorem
5.4 Stokes theorem
5.5 Gauss divergence theorem
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CategoriesEngineering Mathematics
Format EPUB
TypeeBook