# GATE 2015 Metallurgical Engineering Syllabus

Category: Syllabus 10 0

### GATE 2015 Metallurgical Engineering Syllabus:

The following given below is the GATE 2015 Metallurgical Engineering Syllabus

### (a)Engineering Mathematics:

Linear Algebra: Matrix Systems; Systems of linear equations; Eigen values and eigen vectors.

Calculus: Functions of single variable; Limit; continuity and differentiability; Mean Value theorems; Evaluations of definite and improper integrals; Partial derivatives; Total derivatives; Maxima and minima; Gradient; Divergence and Curl; Vector identities; Directional derivatives; Line; Surface and Volume integrals; Stokes; Gauss and Green’s theorems.

Differential Equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy’s and Euler’s equations, Initial and boundary value problems; Laplace transforms; Solutions of one dimensional heat and wave equations and Laplace equation.

Complex Variables: Analytic functions; Cauchy’s integral theorem; Taylor and Laurent series

Probability and Statistics: Definitions of probability and sampling theorems; Conditional probability; Mean; Median; mode and standard deviation; Random variables; Poisson; Normal and Binomial Distributions.

Numerical Methods: Numerical solutions of linear and non-linear algebraic equations ; Integration by trapezoidal and Simpson’s rule; single and multistep methods for differential equations.

### (b)Metallurgical Engineering:

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 electrochemistry – 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 coefficients; momentum transfer- concepts of viscosity; shell balances; Bernoulli’s equation; friction factors.

Extractive Metallurgy: Minerals of economic importance; comminution techniques; size; classification; Floatation; 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 continous casting; stainless steel making furnaces and refractories.

Physical Metallurgy: Crystal structure and bonding characteristics of metals; alloys; ceramics and polymers; structures of surfaces and interfaces; nano-crystalline and amorphous structures; solid solutions; solidifications; phase transformation and binary phase diagrams; principles of heat treatment of steels; cast iron and aluminium alloys; surface treatments; recovery; recrystallization and gain 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; electronics and opto electronic materials’

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; 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

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 and submerged 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