Matrices and Determinants, Systems of linear equations, Eigen values and Eigen
Limit, continuity and differentiability; Partial Derivatives; Maxima and minima;
Sequences and series; Test for convergence; Fourier series.
Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and
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.
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.
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.
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
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.
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.
Edited by : http://ipuedu.blogspot.com
Edited by : http://ipuedu.blogspot.com