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 opto-electronic 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.
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 opto-electronic 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.
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