GATE 2012 Mechanical Syllabus

       SYLLABUS FOR MECHANICAL ENGINEERING (ME)                               Engineering Mathematics Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and...

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GATE 2012 Electrical Syllabus

        SYLLABUS FOR ELECTRICAL ENGINEERING (EE)                          Engineering Mathematics  Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and...

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GATE 2012 Electronics and Communication Syllabus

Engineering Mathematics  SYLLABUS FOR ELECTRONICS AND COMMUNICATION ENGINEERING (EC) Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors. Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems. Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method. Complex variables: Analytic...

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GATE 2012 Civil Syllabus

             SYLLABUS FOR CIVIL ENGINEERING (CE)                                Engineering MathematicsLinear Algebra:Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.Calculus:Functions of single variable, Limit, continuity and differentiability, Mean value theorems,Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.Differential equations:First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients,...

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GATE 2012 CS & IT Syllabus

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; asymptotics.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 non-linear algebraic...

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