GATE 2011 : Examination Syllabus
MT-Metallurgical Engineering ::
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
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.
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, pyrohydro- 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 opto-electronic
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.