## Gate 2015 Syllabus for Production and Industrial Engineering

Gate 2015 Syllabus for Production and Industrial Engineering Code – PI 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, …

## Gate 2015 Syllabus for Physics

Gate 2015 Syllabus for Physics Code – PH Mathematical Physics: Linear vector space; matrices; vector calculus; linear differential equations; elements of complex analysis; Laplace transforms, Fourier analysis, elementary ideas about tensors. Classical Mechanics: Conservation laws; central forces, Kepler problem and planetary motion; collisions and scattering in laboratory and centre of mass frames; mechanics of system of particles; rigid body dynamics; …

## Gate 2015 Syllabus for Metallurgical Engineering

Gate 2015 Syllabus for Metallurgical Engineering Code – MT 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 …

## Gate 2015 Syllabus for Engineering Sciences

Gate 2015 Syllabus for Engineering Sciences Code-XE • Section A: Engineering Mathematics • Section B: Fluid Mechanics • Section C: Materials Science • Section D: Solid Mechanics • Section E: Thermodynamics • Section F: Polymer Science and Engineering • Section G: Food Technology Section A: Engineering Mathematics (Compulsory) Linear Algebra: Algebra of matrices, inverse, rank, system of linear equations, symmetric, …

## Gate 2015 Syllabus for Biotechnology

Gate 2015 Syllabus for Biotechnology Code-BT 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. Differential Equations: Linear and nonlinear first order ODEs, higher order ODEs with constant coefficients, Cauchy’s and Euler’s equations,Laplace transforms, PDE- …

## Gate 2015 Syllabus for Architecture and Planning

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Gate 2015 Syllabus for Architecture and Planning Code- AR City planning: Evolution of cities; principles of city planning; types of cities & new towns; planning regulations and building byelaws; eco-city concept; sustainable development. Housing: Concept of housing; neighbourhood concept; site planning principles; housing typology; housing standards; housing infrastructure; housing policies, finance and management; housing programs in India; self-help housing. Landscape …

## Gate 2015 Syllabus for Aerospace Engineering

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Gate 2015 Syllabus for Aerospace Engineering Code – AE 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 …

## Gate 2015 Syllabus for Agricultural Engineering (AG)

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Gate 2015 Syllabus for Agricultural Engineering Code- AG Engineering Mathematics Linear Algebra: Matrix algebra, 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. Differential Equations: Linear …