GATE 2025 syllabus – MT: Metallurgical Engineering

GATE 2025 syllabus for Metallurgical Engineering (MT) gives you details of the latest GATE syllabus for the subject released by the official gate organizing institute IIT Roorkee 2025. We also created an easy-to-use ad-free mobile app for the GATE syllabus, previous year papers with keys, gate calculator, virtual calculator, and more. Download iStudy App for all GATE preparation needs.

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GATE 2025 Syllabus – Metallurgical Engineering (MT)

Section 1: Engineering Mathematics

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; Fourier 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, one dimensional heat and wave equations.

Probability and Statistics
Definitions of probability and sampling theorems, conditional probability, Mean, median, mode and standard deviation; Random variables; Poisson, normal and binomial distributions; Analysis of experimental data; linear least squares method

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.

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Section 2: Metallurgical Thermodynamics

Laws of thermodynamics
First law – energy conservation, Second law – entropy; Enthalpy, Gibbs and Helmholtz free energy; Maxwell’s relations; Chemical potential; Applications to metallurgical systems, solutions, ideal and regular solutions; Gibbs phase rule, phase equilibria, binary phase diagram and lever rule, free-energy vs. composition diagrams; Equilibrium constant, Activity, Ellingham and phase stability diagrams; Thermodynamics of point defects, surfaces and interfaces, adsorption and segregation phenomena.

Electrochemistry
Single electrode potential, Electrochemical cells, Nernst equation, Potential-pH diagrams

Section 3: Transport Phenomena and Rate Processes

Momentum transfer
Concept of viscosity, shell balances, Bernoulli’s equation, mechanical energy balance equation, flow past plane surfaces and through pipes.

Heat transfer
Conduction, Fourier’s Law, 1-D steady state conduction

Convection
Heat transfer coefficient relations for forced convection

Radiation
Black body radiation, Stefan-Boltzman Law, Kirchhoff’s Law

Mass transfer
Diffusion and Fick’s laws, Mass transfer coefficients

Dimensional analysis
Buckingham Pi theorem, Significance of dimensionless numbers

Basic laws of chemical kinetics
First order reactions, reaction rate constant, Arrhenius relation, heterogeneous reactions, oxidation kinetics

Electrochemical kinetics
Polarization

Section 4: Mineral Processing and Extractive Metallurgy

Comminution techniques, Size classification, Flotation, Gravity and other methods of mineral beneficiation
Agglomeration: sintering, pelletizing and briquetting

Material and Energy balances in metallurgical processes
Principles and processes for the extraction of nonferrous metals – aluminum, copper and titanium

Iron and steel making
Material and heat balance in blast furnace; Structure and properties of slags and molten salts – basicity of slags – sulphide and phosphate capacity of slags; Production of metallurgical coke

Other methods of iron making (COREX, MIDRE)

Primary steel making
Basic oxygen furnace, process dynamics, oxidation reactions, electric arc furnace

Secondary steel making
Ladle process – deoxidation, argon stirring, desulphurization, inclusion shape control, principles of degassing methods; Basics of stainless steel manufacturing

Continuous Casting
Fluid flow in the tundish and mould, heat transfer in the mould, segregation, inclusion control

Section 5: Physical Metallurgy

Chemical Bonding
Ionic, covalent, metallic, and secondary bonding in materials, Crystal structure of solids -metals and alloys, ionic and covalent solids, and polymers

X-ray Diffraction – Bragg’s law, optical metallography, principles of SEM imaging

Crystal Imperfections
Point, line and surface defects; Coherent, semi-coherent and incoherent interfaces

Diffusion in solids
Diffusion equation, steady state and error function solutions; Examples- homogenenization and carburization; Kirkendall effect; Uphill diffusion; Atomic models for interstitial and substitutional diffusion; Pipe diffusion and grain boundary diffusion

Phase transformation
Driving force, Homogeneous and heterogeneous nucleation, growth kinetics

Solidification in isomorphous, eutectic and peritectic systems, cast structures and macrosegregation, dendritic solidification and constitutional supercooling, coring and microsegregation

Solid state transformations
Precipitation, spinoidal decomposition, ordering, massive transformation, discontinuous precipitation, eutectoid transformation, diffusionless transformations; Precipitate coarsening, Gibbs-Thomson effect

Principles of heat treatment of steels, TTT and CCT diagrams
Surface hardening treatments; Recovery, recrystallization and grain growth; Heat treatment of cast iron and aluminum alloys.

Electronic, magnetic and optical properties of materials.

Basic forms of corrosion and its prevention

Section 6: Mechanical Metallurgy

Strain tensor and stress tensor, Representation by Mohr’s circle, elasticity, stiffness and compliance tensor, Yield criteria, Plastic deformation by slip and twinning

Dislocation theory
Edge, screw and mixed dislocations, source and multiplication of dislocations, stress fields around dislocations; Partial dislocations, dislocation interactions and reactions

Strengthening mechanisms
Work/strain hardening, strengthening due to grain boundaries, solid solution, precipitation and dispersion

Fracture behavior, Griffith theory, linear elastic fracture mechanics, fracture toughness, fractography, ductile to brittle transition

Fatigue
Cyclic stress strain behavior – low and high cycle fatigue, crack growth

Mechanisms of high temperature deformation and failure
creep and stress rupture, stress exponent and activation energy

Section 7: Manufacturing Processes

Metal casting
Mould design involving feeding, gating and rise ring, casting practices, casting defects

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
Principles of soldering, brazing and welding, welding metallurgy, defects in welded joints in steels and aluminum alloys

Powder metallurgy
production of powders, compaction and sintering

Non-destructive Testing (NDT)
Dye-penetrant, ultrasonic, radiography, eddy current, acoustic emission and magnetic particle inspection methods

GENERAL APTITUDE (Common for all branches)

Verbal Aptitude

Basic English Grammar
Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech

Basic Vocabulary
Words, idioms, and phrases in context

Reading and Comprehension

Narrative Sequencing

Quantitative Aptitude

Data Interpretation
Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables

Numerical Computation and Estimation
Ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series

Mensuration and Geometry

Elementary Statistics and Probability

Analytical Aptitude

Logic
Deduction and Induction

Analogy

Numerical Relations and Reasoning

Spatial Aptitude

Transformation of Shapes
Translation, rotation, scaling, mirroring, assembling, and grouping

Paper folding, cutting, and patterns in 2 and 3 dimensions

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