GATE Metallurgical Engineering Syllabus

Subject Code: MT

Course Structure

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

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