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NIT Hamirpur CSE Syllabus The syllabus of B Tech offered by Department of Computer Science and Engineering of National Institute of Technology, Hamirpur is as follows: CSS-111 ENGINEERING MATHEMATICS-I Matrices Matrices, Related matrices, Complex matrices (Hermitian and skew-Hermitian matrices, Unitary matrix), Solution of linear system of equations, Rank of a matrix, Gauss-Jordan method, Normal form of a matrix, Vectors, Linear dependence, Consistency of a linear system of equations, Rouche‟s theorem, System of linear homogeneous equations, Linear and orthogonal transformations, Characteristic equation, Eigen values, Eigen vectors, Properties of eigen values, Cayley-Hamilton theorem, Reduction to diagonal form, Quadratic form and their reduction to canonical form. Infinite Series Convergence and divergence of infinite series, Geometric series test, Positive term series, p-series test, [Comparison test, D‟Alembert‟s ratio test, Cauchy‟s root test (Radical test), Integral test, Raabe‟s test, Logarithmic test, Gauss‟s test] (without proofs), Alternating series and Leibnitz‟s rule, Power series, Radius and interval of convergence. Differential Calculus Indeterminate forms, Partial Differentiation and its geometrical interpretation, Homogeneous functions, Euler‟s theorem and its extension, Total differentials, Composite function, Jacobian, Taylor‟s and Maclaurin‟s infinite series, Errors and increments, Introduction to limits and Indeterminate forms, Maxima and minima of functions of two variables, Method of undetermined multipliers. Curve tracing. Integral Calculus Quadrature, Rectification, Surface and Volume of revolution for simple curves, Double integrals and their applications, Change of order of integration, Change of variables, Triple integrals and their applications, Change of variables. Vector Calculus Differentiation of vectors, Curves in space, Velocity and acceleration, Relative velocity and acceleration, Scalar and vector point functions, Vector operator del, gradient, divergence and curl with their physical interpretations, Formulae involving gradient, divergence and curl. Line, surface and volume integrals, Theorems of Green, Stokes and Gauss (without proofs) and their verifications and applications, Irrotational and Solenoidal fields. Last edited by Neelurk; March 25th, 2020 at 12:42 PM. |
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