GATE Metallurgical Engineering Syllabus:
Section 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.
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Differential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs
with constant coefficients;
Cauchy’s and Euler’s equations; Laplace transforms; PDEs –Laplace, one
dimensional heat and wave equations.
Probability and Statistics: Definitions of probability and sampling theorems, conditional probability, Mean, median, mode and standard
deviation; Random variables; Poisson, normal and binomial distributions;
Correlation and regression analysis.
Numerical Methods: Solutions of linear and non-linear (Bisection, Secant, Newton-
Raphson methods) algebraic equations; integration by trapezoidal and Simpson’s
rule; single and multi-step methods for differential equations.
Section 2: Thermodynamics and Rate Processes
Laws of thermodynamics, activity, equilibrium constant,
applications to metallurgical systems, solutions, phase equilibria, Ellingham
and phase stability diagrams, thermodynamics of surfaces, interfaces and
defects, adsorption and segregation; basic kinetic laws, order of reactions,
rate constants and rate limiting steps; principles of electro chemistry- single
electrode potential, electrochemical cells and polarizations, aqueous corrosion
and protection of metals, galvanic corrosion, crevice corrosion, pitting
corrosion, intergranular corrosion, selective leaching, oxidation and high
temperature corrosion – characterization and control; heat transfer –
conduction, convection and heat transfer coefficient relations, radiation, mass
transfer – diffusion and Fick’s laws, mass transfer coefficients; momentum
transfer – concepts of viscosity, shell balances, Bernoulli’s equation,
friction factors.
Section 3: Extractive Metallurgy
Minerals of economic importance, comminution techniques,
size classification, 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 – aluminum, copper, zinc, lead, magnesium, nickel, titanium
and other rare metals; iron and steel making – principles, role structure and
properties of slags, metallurgical coke, blast furnace, direct reduction
processes, primary and secondary steel making, ladle metallurgy operations
including deoxidation, desulphurization, sulphide shape control, inert gas
rinsing and vacuum reactors; secondary refining processes including AOD, VAD,
VOD, VAR and ESR; ingot and continuous casting; stainless steel making,
furnaces and refractories.
Section 4: Physical Metallurgy
Crystal structure and bonding characteristics of metals,
alloys, ceramics and polymers, structure of surfaces and interfaces,
nano-crystalline and amorphous structures; solid solutions; solidification;
phase transformation and binary phase diagrams; principles of heat treatment of
steels, cast iron and aluminum alloys; surface treatments; recovery, recrystallization
and grain growth; structure and properties of industrially important ferrous
and non-ferrous alloys; elements of X-ray and electron diffraction; principles
of optical, scanning and transmission electron microscopy; industrial ceramics,
polymers and composites; introduction to electronic basis of thermal, optical,
electrical and magnetic properties of materials; introduction to electronic and
opto-electronic materials.
Section 5: Mechanical Metallurgy
Elasticity, yield criteria and plasticity; defects in
crystals; elements of dislocation theory – types of dislocations, slip and
twinning, source and multiplication of dislocations, stress fields around
dislocations, partial dislocations, dislocation interactions and reactions;
strengthening mechanisms; tensile, fatigue and creep behaviour;
superplasticity; fracture – Griffith theory, basic concepts of linear elastic
and elastoplastic fracture mechanics, ductile to brittle transition, fracture
toughness; failure analysis; mechanical testing – tension, compression,
torsion, hardness, impact, creep, fatigue, fracture toughness and formability.
Section 6: Manufacturing Processes
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