Gate 2018 Syllabus for Biotechnology (BT)

Gate 2018 Syllabus for Biotechnology (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.

Gate 2018 Syllabus for Chemistry (CY)

Gate 2018 Syllabus for Chemistry (CY)

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

Gate 2018 Syllabus for Aerospace Engineering (AE)

Gate 2018 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

Gate 2018 Syllabus for Agricultural Engineering (AG)

Gate 2018 Syllabus for Agricultural Engineering (AG)

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.

Gate 2018 Syllabus for Architecture and Planning (AR)

Gate 2018 Syllabus for Architecture and Planning (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; Neighborhood Concept; Site Planning Principles; Housing Typology; Housing Standards; Housing Infrastructure; Housing Policies, Finance And Management; Housing Programs In India; Self Help Housing.

Gate 2018 Syllabus for Chemical Engineering (CH)

Gate 2018 Syllabus for Chemical Engineering (CH)

ENGINEERING MATHEMATICS

Linear 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.

Gate 2018 Syllabus for Civil Engineering (CE)

Gate 2018 Syllabus for Civil Engineering (CE)

ENGINEERING MATHEMATICS

Linear 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.

Gate 2018 Syllabus For Computer Science And Information Technology (CS)

Gate 2018 Syllabus for 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 Algebra.

Gate 2018 Syllabus for Ecology and Evolution (EY)

Gate 2018 Syllabus for Ecology and Evolution (EY)

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.

Gate 2018 Syllabus for Electrical Engineering (EE)

Gate 2018 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.

Gate 2018 Syllabus for Electronics and Communication Engineering (EC)

Gate 2018 Syllabus for Electronics and Communication Engineering (EC)

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.

Gate 2018 Syllabus for Engineering Sciences (XE)

Gate 2018 Syllabus for Engineering Sciences (XE)

Section A: Engineering Mathematics

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 Theorem.

Gate 2018 Syllabus for Geology and Geophysics (GG)

Gate 2018 Syllabus for 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 2018 Syllabus for Instrumentation Engineering (IN)

Gate 2018 Syllabus for Instrumentation Engineering (IN)

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.

Gate 2018 Syllabus for Life Sciences (XL)

Gate 2018 Syllabus for Life Sciences (XL)

CHEMISTRY

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.

Gate 2018 Syllabus for Mathematics (MA)

Gate 2018 Syllabus for 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.

Gate 2018 Syllabus for Mechanical Engineering (ME)

Gate 2018 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.

Gate 2018 Syllabus for Metallurgical Engineering (MT)

Gate 2018 Syllabus for Metallurgical Engineering (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.

Gate 2018 Syllabus for Mining Engineering (MN)

Gate 2018 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.

Gate 2018 Syllabus for Physics (PH)

Gate 2018 Syllabus for 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 Of Inertia Tensor; Noninertial Frames And Pseudo Forces; Variational Principle; Lagrange’s And Hamilton’s Formalisms; Equation Of Motion, Cyclic Coordinates, Poisson Bracket; Periodic Motion, Small Oscillations, Normal Modes; Special Theory Of Relativity – Lorentz Transformations, Relativistic Kinematics, Mass-Energy Equivalence.