TS ECET 2023 Syllabus Metallurgical Engineering

TS ECET - 2023
Syllabus for Metallurgical Engineering

MATHEMATICS (50 Marks)
Unit-I: Matrices
Matrices: Definition of Matrix, Types of matrices-Algebra of matrices-Transpose of a matrix-
Symmetric, skew symmetric matrices-Minor, cofactor of an element-Determinant of a square
matrix-Properties-Laplace‘s expansion-singular and non-singular matrices-Adjoint and
multiplicative inverse of a square matrix-System of linear equations in 3 variables-Solutions by
Cramer‘s rule, Matrix inversion method-Gauss-Jordan method.-Partial Fractions: Resolving a given
rational function into partial fractions. Logarithms: Definition of logarithm and its properties,
meaning of ‘e’, exponential function and logarithmic function.
Unit–II: Trigonometry
Properties of Trigonometric functions– Ratios of Compound angles, multiple angles, sub multiple
angles – Transformations of Products into sum or difference and vice versa. Properties of triangles:
sine rule, cosine rule, tangent rule and projection rule. Solution of a triangle when (i) three sides
(SSS), (ii) two sides and an included angle (SAS), (iii) one side and two angles are given(SAA).
Inverse Trigonometric functions, Hyperbolic functions.
Complex Numbers: Definition of a complex number, Modulus, amplitude and conjugate of complex
number, arithmetic operations on complex numbers - Modulus-Amplitude form (Polar form) - Euler
form (exponential form).
Unit–III: Analytical Geometry
Straight Lines–different forms of Straight Lines, distance of a point from a line, angle between two
lines, intersection of two non-parallel lines and distance between two parallel lines. Circles-
Equation of circle given center and radius, given ends of diameter-General equation- finding center
and radius, center and a point on the circumference, 3 non-collinear points, center and tangent,
equation of tangent and normal at a point on the circle. Conic Section – Properties of parabola,
ellipse and hyperbola – Standard forms with vertex at origin.
Unit–IV: Differentiation and its Applications
Functions and limits – Standard limits – Differentiation of sum, product, quotient of functions,
function of function, trigonometric, inverse trigonometric, exponential, logarithmic, Hyperbolic
functions, implicit, explicit and parametric functions–Derivative of a function with respect to
another function-Second order derivatives – Geometrical applications of the derivative (angle
between curves, tangent and normal)–Increasing and decreasing functions–Maxima and Minima
(single variable functions) using second order derivative only physical application – Rate Measure -
Partial Differentiation–Partial derivatives up to second order–Euler‘s theorem.
Unit–V: Integration and its Applications
Indefinite Integral – Standard forms – Integration by decomposition of the integrand, integration of
trigonometric, algebraic, exponential, logarithmic and Hyperbolic functions– Integration by
substitution –Integration of reducible and irreducible quadratic factors – Integration by parts–
Definite Integrals and properties, Definite Integral as the limit of a sum – Application of Integration
to find areas under plane curves and volumes of Solids of revolution– Mean and RMS values,
Trapezoidal rule and Simpson’s 1/3 Rule for approximation integrals.
Unit–VI: Differential Equations
Definition of a differential equation-order and degree of a differential equation- formation of

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differential equations-solution of differential equation of the type first order, first degree, variable-
separable, homogeneous equations, exact, linear differential equation of the form dy/dx+Py=Q,
Bernoulli‘s equation, 2nd order linear differential equation with constant coefficients both
homogeneous and non-homogeneous and finding the Particular Integrals for the functions eax, sin
ax, cos ax, ax2 +bx+c (a,b,c are real numbers).
Unit–VII: Laplace Transforms
Laplace Transforms (LT) of elementary functions-Linearity property, first shifting property, change
of scale property, multiplication and division by t - LT of derivatives and integrals, Unit step
function, LT of unit step function, second shifting property, evaluation of improper integrals,
Inverse Laplace transform (ILT)-shifting theorems, change of scale property, multiplication and
division by s, ILT by using partial fractions and convolution theorem. Applications of LT to solve
linear ordinary differential equations up to second order with initial conditions.
Unit–VIII: Fourier Series
Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients.
Fourier series of simple functions in (0, 2π) and (–π, π). Fourier series for even and odd functions in
the interval (–π, π) – Half range Fourier series – sine and cosine series over the interval (0, π).

PHYSICS (25 Marks)

Unit-I: UNITS, DIMENSIONS AND FRICTION
Physical quantity - Fundamental and derived quantities – Unit –definitions - S.I units - Advantages
of S.I. units - Dimensions and dimensional formula - definitions-units and dimensional formula for
physical quantities - Principle of homogeneity - Applications of dimensional analysis–Friction –
causes - types of friction - Normal reaction - Laws of static friction - coefficients of friction -
expression-rough horizontal surface - expressions for Acceleration, Displacement, Time taken to
come to rest and Work done - Advantages and disadvantages of friction - Methods to reduce friction
– Problems on friction only.
Unit-II: ELEMENTS OF VECTORS
Scalar and vector quantities – definitions and examples –Graphical representation of a vector -
Classification of vectors (Proper vector, Unit vector, Equal vector, Negative vector, Collinear vector
and Position vector) Resolution of a vector - Triangle law of vector addition – Parallelogram law of
vectors – statement- expression for magnitude and direction of resultant vector –derivation-
illustrations (working of sling and flying bird) - Representation of a vector in unit vectors i, j and
k– Scalar product of vectors-definition- application to work done by force – properties of scalar
product - Vector product of vectors –definition – Right hand thumb rule and right hand screw rule -
application to moment of force - properties of vector product - area of parallelogram and triangle in
terms of vector product - related problems
Unit-III: MECHANICS
Projectile motion – definition - examples - Horizontal projection – Time of flight and Horizontal
range – derivations - Oblique projection – Expression for path of a projectile in oblique projection -
derivation– Maximum height, Time of ascent, Time of descent, Time of flight, Horizontal range and
maximum horizontal range - derivations – Circular motion, angular velocity, time period and
frequency of revolutions–Definitions– Relation between linear velocity and angular velocity -
derivation–centripetal force – centrifugal force – definitions and expressions only- application

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(banking of curved path) - angle of banking- expression only - related problems
Unit-IV: PROPERTIES OF MATTER
Elasticity and plasticity- definitions – examples - Stress and Strain – definitions and expressions -
elastic limit - Hooke’s law – statement - modulus of elasticity - Young’s modulus – Derivation –
Cohesive and adhesive forces - Surface tension - Illustrations - Capillarity –angle of contact –
definition- examples for capillarity- Formula for Surface tension based on capillarity (no derivation)
– Viscosity - Illustrations of viscosity - Newton’s formula for viscous force – derivation -
Coefficient of viscosity - Poiseuille’s equation - Effect of temperature on viscosity of liquids and
gases– streamlines - laminar flow - turbulent flow - Reynold’s number - equation of continuity –
statement - related problems.
Unit-V: HEAT AND THERMODYNAMICS
Heat – expansion of gases - Boyle’s law –concept of absolute zero - Absolute scale of temperature –
Charles’ laws - Ideal gas equation – derivation - value of universal gas constant ‘R’ –Isothermal
and Adiabatic processes - Differences between isothermal and adiabatic processes - Internal energy
and external work done – Expression for work done – derivation – first law of thermodynamics –
application of first law to isothermal and adiabatic processes - second law of thermodynamics –
specific heat of a gas – molar specific heat of a gas – definitions – derive relation between CP and Cv
- related problems.
Unit-VI: CONSERVATION LAWS AND ENERGY SOURCES
Work and Energy - Potential Energy and kinetic energy–examples – expressions for PE and KE -
derivations - Work-Energy theorem – derivation – Law of conservation of energy – examples - Law
of conservation of energy in the case of freely falling body – proof – Illustration of conservation of
energy in the case of simple pendulum– Non renewable and renewable energy sources - related
problems
Unit-VII: WAVES AND SOUND
Wave motion – definition and characteristics – audible range – infrasonic and ultrasonic –
longitudinal and transverse waves – examples – Relation between wavelength, frequency and
velocity of a wave – derivation –stationary waves- beats - applications of beats - Doppler effect –
list the applications – ultrasound and radar in medicine and engineering as special emphasis- echo –
definition - applications - relation between time of echo and distance of obstacle –derivation-
Reverberation and time of reverberation - Sabine’s formula - Free and forced vibrations - Resonance
- Conditions of good auditorium - noise pollution – definition – causes, effects and methods to
minimize noise pollution - problems
Unit-VIII: SIMPLE HARMONIC MOTION
Periodic motion - Simple Harmonic Motion (SHM)– definition - examples - Conditions for SHM –
Projection of circular motion on any diameter of a circle is SHM - Expressions for Displacement,
Velocity and Acceleration of a particle executing SHM – derivations - Time period, frequency,
amplitude and phase of a particle in SHM - Ideal simple pendulum – time period of simple
pendulum –derivation - laws of simple pendulum-Seconds pendulum- problems
Unit-IX: MODERN PHYSICS
Photo electric effect - Einstein’s photo electric equation – Work function and threshold frequency -
laws of photo electric effect - applications of photo electric effect – photo cell - concept of
Refraction of light - critical angle and total internal reflection - principle of Optical fiber -

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Applications of optical fiber – LASER – definition and characteristics – principle of LASER -
spontaneous emission and stimulated emission - population inversion - examples of LASER – Uses.
Unit-X: MAGNETISM
Magnetic field - magnetic lines of force -properties - Uniform and Non-uniform magnetic field –
Magnetic length, pole strength – magnetic induction field strength- definition - Coulomb’s inverse
square law of magnetism - expression for moment of couple on a bar magnet placed in a uniform
magnetic field – derivation - expression for magnetic induction field strength at a point on the axial
line of a bar magnet –derivation - Dia, Para and Ferro magnetic materials – examples - related
problems.
Unit-XI: ELECTRICITY AND MEASURING INSTRUMENTS
Ohm’s law – Ohmic and non ohmic conductors – examples - Temperature dependence of resistance
– coefficients of resistance with examples - Specific resistance – units – conductance- series and
parallel combination of resistors - moving coil galvanometer - conversion of galvanometer into
ammeter and voltmeter with diagram (qualitatively) – Kirchhoff’s current and voltage laws in
electricity – Expression for balancing condition of Wheatstone’s bridge – derivation – Meter bridge
–working with neat diagram –Superconductivity-definition-superconductors - definition and
examples – applications - related problems.
Unit-XII: ELECTRONICS
Solids – definition – energy bands in solids- valence band, conduction band and forbidden band –
Energy band diagram of conductors, insulators and semiconductors – concept of Fermi level -
Intrinsic semiconductors - examples - Concept of holes in semiconductors - Doping - Extrinsic
semiconductor - P-type and N-type semiconductors - PN Junction diode – Forward Bias and
Reverse Bias - Applications of PN diode - Diode as rectifier – principle – principle of Light
Emitting Diode and solar cell.

CHEMISTRY (25 Marks)

Unit-I: Fundamentals of Chemistry
Atomic Structure: Introduction - Atomic number - Mass number- Bohr's Atomic theory - Aufbau
principle - Hund's rule - Pauli's exclusion Principle- Orbitals, shapes of s, p and d orbitals -
Electronic configuration of elements
Chemical Bonding: Introduction - Electronic theory of valency - Types of chemical bonds - Ionic,
covalent and co-ordinate covalent bond with examples - Properties of Ionic and Covalent
compounds
Oxidation-Reduction: Electronic Concepts of Oxidation-Reduction, Oxidation Number-
calculations.
Unit -II: Solutions and Colloids
Introduction-Classification of solutions based on physical state- Molecular weights, Equivalent
weights - Expression of concentration - Mole concept, Molarity, Normality, Numerical problems on
Mole, Molarity and Normality - Colloids- Types of colloids- Lyophilic and Lyophobic colloids -
Industrial applications of colloids.
Unit -III: Acids and Bases
Introduction - theories of acids and bases and limitations - Arrhenius theory-Bronsted-Lowry theory

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- Lewis acid base theory - Ionic product of water - pH and related numerical problems - Buffer
solutions- buffer action - applications of buffer solution.
Unit -IV: Environmental Studies-I
Introduction - environment -scope and importance of environmental studies- important terms -
renewable and non-renewable energy sources - Concept of ecosystem, producers, consumers and
decomposers - Biodiversity, definition and threats to Biodiversity- Forest resources- Over
exploitation-Deforestation.
Unit -V: Water Technology
Introduction -soft and hard water - causes of hardness – types of hardness -disadvantages of hard
water - degree of hardness (ppm) - softening methods - permutit process - ion exchange process -
drinking water - municipal treatment of water for drinking purpose - Osmosis, Reverse Osmosis -
advantages of Reverse Osmosis – Desalination by Electro dialysis - Defluoridation – Nalgonda
technique.
Unit -VI: Electrochemistry
Conductors, insulators, electrolytes –Types of electrolytes - Arrhenius theory of electrolytic
dissociation - electrolysis -electrolysis of fused NaCl and aqueous NaCl - applications of
electrolysis - Faraday's laws of electrolysis- numerical problems.
Unit -VI I: Metallurgy
Characteristics of Metals - distinguish between Metals and Non Metals- Ore, Gangue, Flux and Slag
- Concentration of Ore -Froth floatation - Methods of Extraction of crude Metal - Roasting,
Calcination and Smelting - Alloys-purpose of making alloys - Composition of Brass, German silver,
Nichrome, Stainless steel and Duralumin
Unit –VIII: Corrosion:
Introduction - factors influencing the rate of corrosion - electrochemical theory of corrosion -
composition, stress and concentration cells- rusting of iron and its mechanism - prevention of
corrosion - coating methods, Paints-constituents and characteristics of paints-cathodic protection
Unit –IX: Polymers
Introduction - polymerization - types of polymerization - addition, condensation with examples -
plastics - types of plastics - advantages of plastics over traditional materials - Disadvantages of
using plastics - preparation and uses of the following plastics: 1. Polythene 2. PVC 3.Teflon
4.Polystyrene 5.Urea formaldehyde 6. Bakelite - Rubber - Elastomers –Preparation of Butyl rubber,
Buna-s rubber, Neoprene rubber and their uses-Fibres-Preparation and uses of fibres-Nylon 6,6-
Polyester
Unit –X: Fuels
Definition and classification of fuels- characteristics of good fuel - Calorific value-HCV and LCV-
Calculation of oxygen required for combustion of methane and ethane - composition and uses of
gaseous fuels - a) Water gas b) Producer gas, c) Natural gas, d) Coal gas, e) Bio gas and f)
Acetylene.
Unit –XI: Electro Motive Force
Galvanic cell – standard electrode potential -electro chemical series -emf of cell – Batteries-Types
of batteries-Fuel cells.
Unit –XII: ENVIRONMENTAL STUDIES-II
Introduction- classification of air pollutants based on origin and states of matter - Air pollution;
causes and effects - control methods - Water pollution; causes and effects - control measures.

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METALLURGICAL ENGINEERING (100 Marks)

Unit-I: ELEMENTARY PRINCIPLES OF METALLURGY
Introduction to metallurgy – ores & ore dressing, Methods of ore sampling – Communition –
sizing- concentration. Principles and processes of Pyro, hydro and electrometallurgy – Minerals of
commercially important metals.
Unit-II: FUELS & REFRACTORIES
Classification of solid, liquid and gaseous fuels – Testing and properties of important fuels-
Manufacture and characteristics of Metallurgical Coke – Gasification of solid fuels - Combustion
of fuels – Properties, manufacture and selection of Refractories.
Unit-III: METALLURGICAL THERMODYNAMICS
Introduction and applications of thermodynamics – First Law of thermodynamics - Thermo
chemistry - Second Law of thermodynamics - Ellingham diagrams - Fugacity, activity and
equilibrium constant - Phase equilibria – Solutions.
Unit-IV: PHYSICAL METALLURGY
Structure of Metals and Alloys – Solidification – Binary thermal equilibrium diagrams - Iron-
carbon diagram - important non- ferrous binary alloy systems – Microscopic and macroscopic
examination of metals and alloys.
Unit-V: HEAT TREATMENT TECHNOLOGY
Heat treatment of plain carbon steels - Annealing, Normalizing, Hardening and tempering of steels
– TTT diagrams – Hardenability - Grain size, Quenching media. Alloy steels & Effect of alloying
elements on plain carbon steels – Stainless steels, tool steels – Case hardening techniques. Special
heat treatment techniques such as Austempering, Martempering, sub-zero treatment - Heat
treatment of Non-ferrous metals and alloys – Age hardening - Heat Treatment Furnaces and
Furnace atmospheres – Heat treatment defects.
Unit-VI: FERROUS EXTRACTIVE METALLURGY
Iron ores and preparation of iron ores – Burden distribution – Blast furnace profile - Blast furnace
plant and equipment – blast furnace reactions - irregularities and recent trends - sponge iron &
methods of production – Ferroalloys – types and applications. Steel making by Bessemer, LD,
Kaldo, Oxygen Lime (LDAC) process, Open hearth and Electric furnaces – Secondary steel
making process – Vacuum treatment of liquid steel - Ingot defects - Continuous casting.
Unit-VII: NON-FERROUS EXTRACTIVE METALLURGY
Extraction of copper – Pyro and hydrometallurgical methods & refining – Aluminum - Extraction,
Anode effect, Refining - Zinc and Lead - Pyro and hydrometallurgical extraction and refining.
Extraction of Magnesium by Dows and pidgeon processes - Extraction of Titanium by Kroll‘s
process - Refining of Titanium by Van arkell‘s process-Extraction of Thorium and Zirconium.

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Unit-VIII: MATERIAL TESTING
Tension test. Stress - strain relationships, necking phenomenon. Hardness tests - principles and
types. Impact testing - Notched bar impact tests. Transition temperature. Fatigue, Stress cycles, S-
N diagram, Factors affecting Fatigue. Creep testing - creep curve, Stress - rupture test. Non-
destructive testing- Principles, methods and applications of liquid penetrant, Radiography and
Ultrasonic Magnetic particle.

Unit-IX: MECHANICAL METALLURGY
Plastic deformation of metals – lattice defects – Slip and Twinning - CRSS –Strengthening
mechanisms. Strain hardening - Hot and Cold working - Recovery, recrystallisation and grain
growth. Metal forming processes - Rolling, Forging, Extrusion & Sheet metal forming processes
and defects.

Unit-X: FOUNDRY TECHNOLOGY
Patterns: Types, materials and pattern allowances, Moulding Sands - properties and
Testing, Moulding Processes and equipment: Sand casting, Die casting, Shell moulding,
Centrifugal casting, Investment casting and CO2 process-Cores: Types of Cores and properties,
pouring and feeding of castings. Cast irons – types, Melting of cast irons - Grey, S.G and Malleable
iron. Aluminum, Copper and Steel Foundry practices. Defects in Castings. Cleaning & Salvage of
Castings.
Unit-XI: WELDING TECHNOLOGY
Basic concepts of Welding - Principles and processes of various welding techniques such as Oxy-
acetylene, Shield Arc welding, Inert gas welding- TIG and MIG - Special welding processes -
Plasma, resistance, electro slag, electron beam, thermit and Laser. Weld ability, factors affecting
weld ability – Heat affected zone, Microstructure – Post weld treatments – Welding defects –
Inspection and testing.

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