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GATE SYLLABUS

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Syllabus for GATE Computer Science & Information Technology (CS)     1. ENGINEERING MATHEMATICS   Mathematical Logic:  Propositional Logic; First Order Logic.   Probability:  Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial. Set Theory & Algebra:  Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra. Combinatorics:  Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotic. Graph Theory:  Connectivity; spanning trees; Cut vertices & edges; covering; matching; independent sets; Colouring; Planarity; Isomorphism. Linear Algebra:  Algebra of matrices, determinants, systems of linear equations, Eigen values and Eigen vectors. Numerical Methods:  LU decomposition for systems of linear equations; numerical solutions of n...