## 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. …

## 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 …

## 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 …

## 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 …

## GATE-2015 Syllabus for Metallurgical Engineering (MT)

GATE-2015 Syllabus for Metallurgical Engineering (MT) Part-1 – 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. Differential Equations: …

## GATE-2015 Syllabus for Physics (PH)

GATE-2015 Syllabus for Physics (PH) Physics (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; moment …

## GATE-2015 Syllabus for Production and Industrial Engineering (PI)

Production and Industrial Engineering (PI) Engineering Mathematics Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen 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 …

## GATE-2015 Syllabus for Textile Engineering and Fibre Science (TF)

Textile Engineering and Fibre Science (TF) 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. Differential Equations: Linear …

## GATE-2015 Syllabus for Engineering Sciences (XE)

Engineering Sciences (XE) Section A: Engineering Mathematics (Compulsory) Linear Algebra: Algebra of matrices, inverse, rank, system of linear equations, symmetric,skew-symmetric and orthogonal matrices.Hermitian, skew-Hermitian and unitary matrices.eigenvalues and eigenvectors, diagonalisation of matrices, Cayley-Hamilton Calculus: Functions of single variable, limit, continuity and differentiability, Mean value theorems, Indeterminate forms and L’Hospital rule, Maxima and minima,Taylor’s series, Fundamental and mean value-theorems of integral …