Metallurgical Engineering Syllabus for GATE 2015 Examinations:
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, fouriers 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, heat and wave equations.
Probability and Statistics: mean, median and standard deviation, random variable, poisson, normal and binomial distribution, 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 reaction, rate constants, and rate limiting steps, principles of electro chemistry – single electrode potential, electro – chemicals cells and polarizations, aqueous corrosion and protection of metals, oxidation and high temperature corrosion- characterization and control, heat transfer-conduction, convection and heat transfer coefficients relation, radiation, mass transfer – diffusion and Fick laws, mass transfer coefficients, momemtum transfer-concepts of viscocity, shell balances, Bernoulli’s equation, friction factors.
Minerals of economic importance, comminution techniques, size classification, floatation, 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 slage, 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 vaccum reactors, secondary refining processes including AOD, VAD, VOD, VAR and ESR, ingot and continous casting, stainless steel making, furnaces and refractories.
Crystal structure and bonding characteristics of metals, allosy, ceramics and polymer, structure of surfaces and interfaces, nano-crystalline and amorphous structure, solid solutions, solidification, phase transformation and binary phase systems, principles of heat treatment of steels, cast iron and aluminum alloys, surface treatments, recovery, recrystallization and 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.
Elasticity, yield 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 of interactions and reactions, strengthening mechanisms, tensile fatigue and creep behavior, 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.
(f) Manufacturing Processes:
Metal Casting – patterns and moulds including mould design involving feeding, gating and risering, melting, casting practices in sand casting, permanent mould casting, investing casting and shell mouldiing, 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 wielding, common wielding processes of shielded 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.