GATE-2015 Syllabus for Chemistry (CY)

GATE-2015 Syllabus for Chemistry 1. Physical Chemistry Structure: Quantum theory: principles and techniques; applications to a particle in a box, harmonic oscillator, rigid rotor and hydrogen atom; valence bond and molecular orbital theories, Hückel approximation; approximate techniques: variation and perturbation; symmetry, point groups; rotational, vibrational, electronic, NMR, and ESR spectroscopy Equilibrium: Kinetic theory of gases; First law of thermodynamics, heat, …

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GATE-2015 Syllabus for Electronics and Communication Engineering

GATE-2015 Syllabus for Electronics and Communication Engineering 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 …

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GATE-2015 Syllabus for Electrical Engineering (EE)

GATE-2015 Syllabus for Electrical Engineering 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 …

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GATE-2015 Syllabus for Chemical Engineering (CH)

GATE-2015 Syllabus for Chemical Engineering 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 …

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GATE-2015 Syllabus for Instrumentation Engineering (IN)

GATE-2015 Syllabus for Instrumentation Engineering 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 …

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GATE-2015 Syllabus for Ecology and Evolution (EY)

GATE-2015 Syllabus for Ecology and Evolution Ecology Population ecology; metapopulation dynamics; growth rates; density independent growth; density dependent growth; niche concept; Species interactions: Plant-animal interactions; mutualism, commensalism, competition and predation; trophic interactions; functional ecology; ecophysiology; behavioural ecology; Community ecology: Community assembly, organization and evolution; biodiversity: species richness, evenness and diversity indices;endemism; species-area relationships; Ecosystem structure, function and services; nutrient cycles; …

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GATE-2015 Syllabus for Geology and Geophysics (GG)

GATE-2015 Syllabus for Geology and Geophysics (GG) Geology and Geophysics (GG) Part A: Common to Geology and Geophysics Earth and Planetary system, size, shape, internal structure and composition of the earth; atmosphere and greenhouse effect; isostasy; elements of seismology; physical properties of the interior of the earth; continents and continental processes; physical oceanography; geomagnetism and paleomagnetism, continental drift, plate tectonics. …

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GATE-2015 Syllabus for Mathematics (MA)

GATE-2015 Syllabus for Mathematics (MA) Mathematics (MA) 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 …

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GATE-2015 Syllabus for Mechanical Engineering (ME)

GATE-2015 Syllabus for Mechanical Engineering 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 …

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GATE-2015 Syllabus for Mining Engineering (MN)

GATE-2015 Syllabus for Mining Engineering (MN) Engineering Mathematics Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and Eigen vectors. Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series. Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green’s theorems. Diferential Equations: Linear and …

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