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Education and Career Forum
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| 23rd February 2011 12:37 AM | |
| foreturner |
Re: Previous year papers of GATE Mathematics? here is your maths GATE papers of previous years |
| 22nd February 2011 06:38 PM | |
| Ankur agrawal |
Re: Previous year papers of GATE Mathematics? [ATTACH][ATTACH][ATTACH]Attachment 14280[/ATTACH][/ATTACH][/ATTACH]see the below attachment for gate papers...... |
| 22nd February 2011 05:36 PM | |
| pops07 |
Re: Previous year papers of GATE Mathematics? here below in the attachment you will get last 15 years GATE papers on mathematics. please download them. |
| 22nd February 2011 03:29 AM | |
| nitingoplani88 |
Re: Previous year papers of GATE Mathematics? open this link you will fine gate mathematics previous papers (from 2000 to 2011). it will be more beneficial for you http://questionpaper.in/QuestionPaper.aspx?id=878&bn=45 READ WHOLE SYLLABUS TOPIC BY TOPIC Linear Algebra: Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigen values and eigen vectors, minimal polynomial, Cayley-Hamilton Theroem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators. Complex Analysis: Analytic functions, conformal mappings, bilinear transformations; complex integration: Cauchy's integral theorem and formula; Liouville's theorem, maximum modulus principle; Taylor and Laurent's series; residue theorem and applications for evaluating real integrals. Real Analysis: Sequences and series of functions, uniform convergence, power series, Fourier series, functions of several variables, maxima, minima; Riemann integration, multiple integrals, line, surface and volume integrals, theorems of Green, Stokes and Gauss; metric spaces, completeness, Weierstrass approximation theorem, compactness; Lebesgue measure, measurable functions; Lebesgue integral, Fatou's lemma, dominated convergence theorem. Ordinary Differential Equations: First order ordinary differential equations, existence and uniqueness theorems, systems of linear first order ordinary differential equations, linear ordinary differential equations of higher order with constant coefficients; linear second order ordinary differential equations with variable coefficients; method of Laplace transforms for solving ordinary differential equations, series solutions; Legendre and Bessel functions and their orthogonality. Algebra: Normal subgroups and homomorphism theorems, automorphisms; Group actions, Sylow's theorems and their applications; Euclidean domains, Principle ideal domains and unique factorization domains. Prime ideals and maximal ideals in commutative rings; Fields, finite fields. Functional Analysis: Banach spaces, Hahn-Banach extension theorem, open mapping and closed graph theorems, principle of uniform boundedness; Hilbert spaces, orthonormal bases, Riesz representation theorem, bounded linear operators. Numerical Analysis: Numerical solution of algebraic and transcendental equations: bisection, secant method, Newton-Raphson method, fixed point iteration; interpolation: error of polynomial interpolation, Lagrange, Newton interpolations; numerical differentiation; numerical integration: Trapezoidal and Simpson rules, Gauss Legendre quadrature, method of undetermined parameters; least square polynomial approximation; numerical solution of systems of linear equations: direct methods (Gauss elimination, LU decomposition); iterative methods (Jacobi and Gauss-Seidel); matrix eigenvalue problems: power method, numerical solution of ordinary differential equations: initial value problems: Taylor series methods, Euler's method, Runge-Kutta methods. Partial Differential Equations: Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; Cauchy, Dirichlet and Neumann problems; solutions of Laplace, wave and diffusion equations in two variables; Fourier series and Fourier transform and Laplace transform methods of solutions for the above equations. Mechanics: Virtual work, Lagrange's equations for holonomic systems, Hamiltonian equations. Topology: Basic concepts of topology, product topology, connectedness, compactness, countability and separation axioms, Urysohn's Lemma. Probability and Statistics: Probability space, conditional probability, Bayes theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties, expectation, conditional expectation, moments; Weak and strong law of large numbers, central limit theorem; Sampling distributions, UMVU estimators, maximum likelihood estimators, Testing of hypotheses, standard parametric tests based on normal, X2 , t, F - distributions; Linear regression; Interval estimation. Linear programming: Linear programming problem and its formulation, convex sets and their properties, graphical method, basic feasible solution, simplex method, big-M and two phase methods; infeasible and unbounded LPP's, alternate optima; Dual problem and duality theorems, dual simplex method and its application in post optimality analysis; Balanced and unbalanced transportation problems, u -u method for solving transportation problems; Hungarian method for solving assignment problems. Calculus of Variation and Integral Equations: Variation problems with fixed boundaries; sufficient conditions for extremum, linear integral equations of Fredholm and Volterra type, their iterative solutions. |
| 22nd February 2011 02:08 AM | |
| arvind_singh |
Re: Previous year papers of GATE Mathematics? iam attaching the pdf of previous year exam hope it will help you just keep in mind do as hard work as u can do |
| 22nd February 2011 01:27 AM | |
| deep_4 |
Re: Previous year papers of GATE Mathematics? GATE Previous Year Mathematics PAPERS... See the attachments For previous year question papers fOr Gate mathematics... (i have attached 2007-1010 Previous year papers.) For preparation & More previous year papers you can Refer This Book.. GATE MATHEMATICS Practice Workbook  Click here To get Details. |
| 21st February 2011 03:53 PM | |
| pagidi |
Previous year papers of GATE Mathematics? please send me Previous year papers of GATE Mathematics? Please reply thanks |
