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1.1 Successive Differentiation, Leibnitz’s theorem
1.2 Limit, Continuity and Differentiability of functions of several variables
1.3 Partial derivatives
1.4 Euler’s theorem for homogeneous functions
1.5 Total derivatives, Change of variables
1.6 Curve tracing: Cartesian and Polar coordinates
2.1 Taylor’s and Maclaurin’s Theorem, Expansion of function of several variables
2.2 Jacobian
2.3 Approximation of errors, Extrema of functions of several variables
2.4 Lagrange’s method of multipliers (Simple applications)
3.1 Types of Matrices, Inverse of a matrix by elementary transformations, Rank of a matrix (Echelon & Normal form)
3.2 Linear dependence, Consistency of linear system of equations and their solution, Characteristic equation
3.3 Eigen values and Eigen vectors
3.4 Cayley-Hamilton Theorem, Diagonalization
3.5 Complex and Unitary Matrices and its properties
4.1 Double and triple integrals, Change of order of integration, Change of variables, Application of integration to lengths
4.2 Surface areas and Volumes – Cartesian and Polar coordinates, Beta and Gamma functions, Dirichlet’s integral and its applications
5.1 Point function, Gradient, Divergence, Curl of a vector and their physical interpretations, Vector identities, Tangent and Normal, Directional derivatives
5.2 Line, Surface and Volume integrals, Applications of Green’s theorem, Applications of Stokes theorem, Applications of Gauss divergence theorem
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CategoriesEngineering Mathematics
Format EPUB
TypeeBook