GATE 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.

Vector Calculus:

Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and

Green's theorems.

Diferential 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, heat

and wave equations.

Probability and Statistics:

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 algebraic equations; integration of trapezoidal and

Simpson's rule; single and multi-step methods for differential equations.

Metallurgical Engineering

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, electro-chemical cells and polarizations,

aqueous corrosion and protection of metals, 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.

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 - aluminium, 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.

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; industrially important ferrous and non-ferrous alloys;

elements of X-ray and electron diffraction; principles of scanning and transmission

electron microscopy; industrial ceramics, polymers and composites; electronic basis of

thermal, optical, electrical and magnetic properties of materials; electronic and optoelectronic

materials.

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; super-plasticity;

fracture - Griffith theory, basic concepts of linear elastic and elasto-plastic fracture

mechanics, ductile to brittle transition, fracture toughness; failure analysis; mechanical

testing - tension, compression, torsion, hardness, impact, creep, fatigue, fracture

toughness and formability.

Manufacturing Processes:

Metal casting - patterns and moulds including mould design involving feeding, gating

and risering, melting, casting practices in sand casting, permanent mould casting,

investment casting and shell moulding, casting defects and repair; hot, warm and cold

working of metals, Metal forming - fundamentals of metal forming processes of rolling,

forging, extrusion, wire drawing and sheet metal forming, defects in forming; Metal

joining - soldering, brazing and welding, common welding processes of shielded metal

arc welding, gas metal arc welding, gas tungsten arc welding and submerged arc

welding; welding metallurgy, problems associated with welding of steels and aluminium

alloys, defects in welded joints; powder metallurgy; NDT using dye-penetrant,

ultrasonic, radiography, eddy current, acoustic emission and magnetic particle methods.


Source: http://gate.iitd.ac.in/
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