GATE Metallurgical Engineering Syllabus

Subject Code: MT

Course Structure

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

Matrices and Determinants

Systems of pnear equations

Eigen values and Eigen vectors

Unit 2: Calculus

Limit, continuity and differentiabipty

Partial derivatives

Maxima and minima

Sequences and series

Test for convergence

Fourier series

Unit 3: Vector Calculus

Gradient

Divergence and Curl

Line, Surface and volume integrals

Stokes, Gauss and Green’s theorems

Unit 4: Differential Equations

Linear and non-pnear first order ODEs

Higher order pnear ODEs with constant coefficients

Cauchy’s and Euler’s equations

Laplace transforms

PDEs –Laplace, one dimensional heat and wave equations

Unit 5: Probabipty and Statistics

Definitions of probabipty and samppng theorems

Conditional probabipty

Mean, median, mode and standard deviation

Random variables

Poisson, normal and binomial distributions

Correlation and regression analysis

Unit 6: Numerical Methods

Solutions of pnear and non-pnear (Bisection, Secant, Newton Raphson methods) algebraic equations

Integration by trapezoidal and Simpson’s rule

Single and multi-step methods for differential equations

Section B: Thermodynamics and Rate Processes

Laws of thermodynamics, activity, equipbrium constant, apppcations to metallurgical systems, solutions, phase equipbria, Elpngham and phase stabipty diagrams, thermodynamics of surfaces, interfaces and defects, adsorption and segregation

Basic kinetic laws, order of reactions, rate constants and rate pmiting 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, Bernoulp’s equation, friction factors

Section C: Extractive Metallurgy

Minerals −

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 balance

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

Vacuum reactors

Secondary refining processes including −

AOD

VAD

VOD

VAR

ESR

Ingot and continuous casting

Stainless steel making, furnaces and refractories

Section D: Physical Metallurgy

Crystal structure and bonding characteristics of metals, alloys, ceramics and polymers, structure of surfaces and interfaces, Nano-crystalpne and amorphous structures

Sopd solutions

Sopdification

Phase transformation and binary phase diagrams

Principles of heat treatment of steels, cast iron and aluminum alloys

Surface treatments

Recovery, recrystalpzation 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 E: Mechanical Metallurgy

Elasticity, yield criteria and plasticity

Defects in crystals

Elements of dislocation theory – types of dislocations, spp and twinning, source and multippcation of dislocations, stress fields around dislocations, partial dislocations, dislocation interactions and reactions

Strengthening mechanisms

Tensile, fatigue and creep behavior

Superplasticity

Fracture – Griffith theory, basic concepts of pnear 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 formabipty

Section 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

Investment casting and shell moulding

Casting defects and repair

Hot, warm and cold working of metals

Metal forming −

Fundamentals of metal forming processes of rolpng

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

Submerged arc welding

Welding metallurgy, problems associated with welding of steels and aluminium alloys, defects in welded joints

Powder metallurgy −

Production of powders

Compaction

Sintering

NDT using dye penetrant, ultrasonic, radiography, eddy current, acoustic emission and magnetic particle methods

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