Exam

Exam

GATE: METALLURGICAL ENGINEERING Syllabus

MT Metallurgical Engineering

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.

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 – 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.

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 aluminium 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

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 – production of powders, compaction and sintering; NDT using dye-
penetrant, ultrasonic, radiography, eddy current, acoustic emission and magnetic

particle methods.

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