GATE Metallurgical Engineering Syllabus


Subject Code: MT

Course Structure

Sections/Units Topics
Section A Engineering Mathematics
Unit 1 Linear Algebra
Unit 2 Calculus
Unit 3 Vector Calculus
Unit 4 Differential Equations
Unit 5 Probability and Statistics
Unit 6 Numerical Methods
Section B Thermodynamics and Rate Processes
Section C Extractive Metallurgy
Section D Physical Metallurgy
Section E Mechanical Metallurgy
Section F Manufacturing Processes

Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

  • Matrices and Determinants
  • Systems of linear equations
  • Eigen values and Eigen vectors

Unit 2: Calculus

  • Limit, continuity and differentiability
  • 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-linear first order ODEs
  • Higher order linear ODEs with constant coefficients
  • Cauchy’s and Euler’s equations
  • Laplace transforms
  • PDEs –Laplace, one dimensional heat and wave equations

Unit 5: Probability and Statistics

  • Definitions of probability and sampling theorems
  • Conditional probability
  • Mean, median, mode and standard deviation
  • Random variables
  • Poisson, normal and binomial distributions
  • Correlation and regression analysis

Unit 6: Numerical Methods

  • Solutions of linear and non-linear (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, 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, 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, Bernoulli’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-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

  • 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, slip and twinning, source and multiplication 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 linear 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 formability

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 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

    • 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

To download pdf Click here.