GATE

GATE

Graduate Aptitude Test in Engineering (GATE) Syllabus | Pharmaceutical Science

Natural Products – Pharmacognosy & Phytochemistry: Chemistry, tests, isolation, characterization~and estimation of phytopharmaceuticals belonging to the group of Alkaloids, Glycosides, Terpenoids, Steroids, Bioflavanoids, Purines, Guggul lipids. Pharmacognosy of crude drugs which contain the above constituents. Standardisation of raw materials and herbal products. WHO guide lines. Quantitative microscopy including modern techniques used for evaluation. Biotechnological principles and techniques for plant development Tissue culture.

Pharmacology: General pharmacological principles including Toxicology. Drug interaction. Pharmacology of drugs acting on Central nervous system, Cardiovascular system, Autonomic nervous system, Gastro intestinal system and Respiratory system. Pharmacology of Autocoids, Hormones, Chemotherapeutic agents including anticancer drugs. Bioassays. Immuno Pharmacology.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Production & Industrial Engineering

MATHEMATICS:

- Linear Algebra: Determinants; algebra of matrices; rank; inverse; systems of linear equations; eigenvalues and eigenvectors; quadratic forms.
- Calculus: Taylor series, Fourier series, partial derivatives, total derivatives, definite and improper integral, multiple integrals.

Vector calculus: Gradient; divergence and curl; vector identities; line integral and surface integral; Green, Gauss and Stokes theorem.
Differential Equations: Ordinary differential equations; first order equations (linear and nonlinear); higher order liner differential equations with constant coefficients; methods of variations of parameters; Cauchy’s or Euler’s equations; initial and boundary value problems; Laplace transform, partial differential equation. Probability and Statistics: Probability spaces; conditional probability; Bayes theorem; standard distributions and their properties; central limit theorem; sampling distribution; estimation; testing of hypotheses; method of least squares; regression analysis; analysis of variance.
- Computer Programming and Numerical Methods: Elementary numerical methods in calculus and ordinary differential equations, elements of programming in C.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Physics

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; collisions and scattering in laboratory and centre of mass reference 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; wave equation and wave propagation; special theory of relativity – Lorentz transformations, relativistic kinematics, mass-energy equivalence.

Electromagnetic Theory: Laplace and Poisson equations; conductors and dielectrics; boundary value problems; Ampere’s and Biot-Savart’s laws; Faraday’s law; Maxwell’s equations; scalar and vector potentials; Coulomb and Lorentz gauges; boundary conditions at interfaces; electromagnetic waves; interference, diffraction and polarization; radiation from moving charges.

Quantum Mechanics: Physical basis of quantum mechanics; uncertainty principle; Schrodinger equation; one and three dimensional potential problems; Particle in a box, harmonic oscillator, hydrogen atom; linear vectors and operators in Hilbert space; angular momentum and spin; addition of angular momentum; time independent perturbation theory; elementary scattering theory.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Metallurgical Engineering

Thermodynamics and Rate Processes: Laws of thermodynamics, activity, equilibrium constant, applications to metallurgical systems, solutions, phase equilibria, basic kinetic laws, order of reactions, rate constants and rate limiting steps principles of electro chemistry, aqueous, corrosion and protection of metals, oxidation and high temperature corrosion – characterization and control; momentum transfer – concepts of viscosity, shell balances, Bernouili’s equation; heat transfer – conduction, convection and heat transfer coefficient relations, radiation, mass transfer – diffusion and Fick’s laws.

Extractive Metallurgy: Flotation, gravity and other methods of mineral processing; agglomeration, pyro-hydro-and electro-metallurgical processes; material and energy balances; principles and processes for the extraction of non-ferrous metals – aluminium, copper, zinc, lead, magnesium, nickel, titanium and other rare metals; iron and steel making – principles, blast furnace, direct reduction processes, primary and secondary steel making, deoxidation and inclusion in steel; ingot and continuous casting; stainless steel making, design of furnaces; fuels and refractories.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Mining Engineering

Mechanics and Engineering Mathematics: Equivalent force systems, equations of equilibrium, two dimensional frames 3nd trusses, free body diagrams, friction forces, particle kinematics and dynamics.

Limit, continuity, and differentiability of functions of several variables, partial derivatives and thai* geometrical interpretations, implicit functions, derivatives of higher order and their commutativrty. Eulcr’s theorem on homogeneous functions and harmonic functions, Tailors expansion for functions of several variables, maxima and minima of functions of several variables, Lagrangian method of multipliers, ordinary differential equations: first order, separable, exact, homogeneous, linear and Bernoulli’s form. Matrix algebra: vector space, linear dependence, rank and inverse of matrix. Solution of algebraic equations: consistency conditions, eigen values and eigen vectors. Probability and Statistics: random variables, distributions, mathematical expectation. Bayes’ Theorem, central limit theorem, sample distributions, estimation, hypothesis testing, correlation. Regression: simple, multiple, and partial.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Life Science

Chemistry (Compulsory)

Atomic structure and periodicity: Quantum chemistry; 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 molecules, VSEPR theory and shape of molecules, hybridisation, resonance, dipole moment, structure parameters such as bond length, bond angle and bond energy, hydrogen bonding, van der Waals interactions. Ionic solids; ionic radii, lattice energy (Born-Haber Cycle).

s.p. and d Block Elements: Oxides, halides and hydrides of alkali and alkaline earth metals, B, Al, S, N, P and S, silicones, general characteristics of 3d elements, coordination complexes: valence bond and crystal field theory, color, geometry and magnetic properties.

Chemical Equilibria: Colligative properties of solutions, ionic equilibria in solution, solubility product, common ion effect, hydrolysis of salts, pH, buffer and their applications in chemical analysis.

Electrochemistry: Conductance, Kohlrausch law, Half Cell potentials, emf, Nernst equation, galvanic cells, thermodynamic aspects and their applications.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Engineering Science

ENGINEERING MATHEMATICS

Linear Algebra : Determinates, algebra of matrices, rank, inverse, system of linear equations, symmetric, skew-symmetric and orthogonal matrices. Hermitian, skew-hermitian and unitary matrices, eigenvalues and eigenvectors, diagonalisation of matrices, Cayley-Hamiltonian, quadratic forms.

Calculus : Functions of single variables, limit, continuity and differentiability, Mean value theorems, Intermediate forms and L’Hospital rule, Maxima and minima, Taylor’s series, Fundamental and mean value-theorems of integral calculus. Evaluation of definite and improper integrals, Beta and Gamma functions, Functions of two variables, limit, continuity, partial derivatives, Euler’s theorem for homogeneous functions, total derivatives, maxima and minima, Lagrange method of multipliers, double and triple integrals and their applications, sequence and series, tests for convergence, power series, Fourier Series, Fourier integrals.

Complex variable: Analytic functions, Cauchy’s integral theorem and integral formula without proof. Taylor’s and Laurent’ series, Residue theorem (without proof) with application to the evaluation of real integarls. Vector Calculus: Gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, Stokes, Gauss and Green’s theorems (without proofs) with applications.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Textile Engineering & Fibre Science

Textile Fibres: Classification of textile fibres according to their nature and origin; general characteristics of textile fibres-their chemical and physical structures and their properties; essential characteristics of fibre forming polymers; uses of natural and man-made fibres; physical and chemical methods of fibre and blend identification and blend analysis.

Melt Spinning processes with special reference to polyamide and polyester fibres; wet and dry spinning of viscose and acrylic fibres; post spinning operations-drawing, heat setting, texturing- false twist and air-jet, tow-to-top conversion. Methods of investigating fibre structure e.g. X-ray diffraction, birefringence, optical and electron microscopy, I.R. absorption, thermal methods; structure and morphology and principal natural and man-made fibres, mechanical properties of fibres, moisture sorption-in fibres; fibre structure and property correlation.

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GATE 2010 : Examination Syllabus

General Aptitude (GA) component common in all papers: Syllabus for GA
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GATE 2010 | Examination Paper Pattern

Question Papers bearing the codes : AE, AG, AR, BT, CE, CH, CS, CY, EC, EE, IN, MA, ME, MN, MT, PH, PI and TF

Paper Code Patterns of Question papers Negative Marks for wrong Answer
AE, AG, AR, BT, CE, CH, CS, CY, EC, EE, IN, MA, ME, MN, MT, PH, PI, TF

Q.1 to Q.25: Will carry one mark each (sub-total 25 marks).

1/3 mark will be deducted for each wrong answer.

Q.26 to Q.55: Will carry two marks each (sub-total 60 marks) 2/3 mark will be deducted for each wrong answer.
Q.48 through Q.51 (2 pairs) will be common data questions. Each question will carry two marks 2/3 mark will be deducted for each wrong answer.

Question pairs (Q.52, Q.53) and (Q.54, Q.55) will be linked answer questions.

The answer to the second question of the last two pairs will depend on the answer to the first question of the pair.

If the first question in the linked pair is wrongly answered or is un-attempted, then the answer to the second question in the pair will not be evaluated. Each question will carry two marks

There will be negative marks only for wrong answer to the first question of the linked answer question pair i.e. for Q.52 and Q.54, 2/3 mark will be deducted for each wrong answer. There is no negative marking for Q.53 and Q.55.

Q.56 to Q.60 : From General Aptitude (GA) will carry one mark each (sub-total 5 marks).

1/3 mark will be deducted for each wrong answer.

Q.61 to Q.65 : From GA will carry two marks each (sub-total 10 marks) 2/3 mark will be deducted for each wrong answer.
All the papers bearing the codes AE, AG, BT, CE, CH, CS, EC, EE, IN, ME, MN, MT, PI and TF will contain few questions on Engineering Mathematics carrying 15 marks.
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Eligibility of GATE 2010

The following categories of candidates are eligible to appear in GATE :

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Chemistry

Physical Chemistry

Structure: Quantum theory – principles and techniques; applications to particle in a box, harmonic Dscillator, rigid rotor and hydrogen atom; valence bond and molecular orbital theories and Huckel approximation, approximate techniques: variation and perturbation; symmetry, point groups; rotational, /ibrational, electronic, NMR and ESR spectroscopy.

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Mathematics

Linear Algebra: Finite dimensional vector spaces. Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton theorem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices. Finite dimensional inner product spaces, self-adjoint and Normal linear operators, spectral theorem, Quadratic forms.

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