## 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 …

## GATE-2015 Syllabus for Life Sciences (XL)

GATE-2015 Syllabus for Life Sciences (XL) Life Sciences (XL) Section H: Chemistry (Compulsory) Atomic structure and periodicity: Planck’s quantum theory, wave particle duality, uncertainty principle, quantum mechanical model of hydrogen atom; electronic configuration of atoms; periodic table and periodic properties; ionization energy, election affinity, electronegativity, atomic size. Structure and bonding: Ionic and covalent bonding, M.O. and V.B. approaches for diatomic …

## GATE-2015 Syllabus for Computer Science and Information Technology (CS)

Computer Science and Information Technology (CS) 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 Combinatory: Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics. Graph Theory: Connectivity; spanning trees; Cut …

## GATE Syllabus for Aerospace Engineering (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 volume integrals. Theorems of Stokes, Gauss and Green. Differential Equations: …