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MECHANICAL

TS ECET - 2023
Syllabus for Mechanical Engineering
MATHEMATICS (50 Marks)
Unit-I: Matrices
Matrices: Definition of Matrix, Types of matrices-Algebra of matrices-Transpose of a matrixSymmetric, 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
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Logarithms: Definition of logarithm and its properties,
meaning of ‘e’, exponential function and logarithmic function
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Properties of triangles:
sine rule, cosine rule, tangent rule and projection rule
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Inverse Trigonometric functions, Hyperbolic functions
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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
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Conic Section – Properties of parabola,
ellipse and hyperbola – Standard forms with vertex at origin
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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,

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MECHANICAL
Trapezoidal rule and Simpson’s 1/3 Rule for approximation integrals
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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
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Unit–VIII: Fourier Series
Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients
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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)
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I units - Advantages
of S
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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
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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
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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
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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
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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
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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
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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
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Polythene 2
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Teflon
4
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Urea formaldehyde 6
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Unit –XI: Electro Motive Force
Galvanic cell – standard electrode potential -electro chemical series -emf of cell – Batteries-Types
of batteries-Fuel cells
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MECHANCIAL ENGINEERING (100 Marks)
Unit-I: WORKSHOP TECHNOLOGY
Basic Workshop tools and operations (Carpentry, Fitting, Marking and Measuring tools, Forging
and Sheet metal) - Drilling, Mechanical working of Metal, Foundry Equipment, Pattern types,
types of moulding sands and their properties, types of cores, casting methods, defects in casting
and special casting processes
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Cutting Fluids, Coolants & Lubricants, Welding Milling, Gear Making
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Plastics Processing, Press Tools Jigs and Fixtures,
Metrology
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Production Drawing: limits, fits & tolerances, surface finish, specifications of standard
components like Bolts, Nuts, Bearings
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CAM: Functions and benefits of CAM, CAPP, necessity of
CAD/CAM integration, Basic components of NC, CNC and DNC machines, CNC part
programming, Manual and computer assisted part programming, CIMS, FMS, Computer Aided

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MECHANICAL
inspection and Robotics
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C Engines: Two and Four
stroke engines, Petrol and Diesel engines, Indicated and brake powers, Indicated and brake thermal
efficiencies
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Unit-VI: HEAT POWER ENGINEERING
Air Compressors, Gas turbines and Jet propulsion
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Unit-VII: SOLID MECHANICS
System of forces, Resolution of Forces, Concept of Equilibrium, Lami's Theorem, Geometrical
Properties of Sections, Simple Stresses and Strains, Shear Force and Bending Moment diagrams,
Simple Bending, Deflection of Beams and Torsion in shafts
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Unit-IX: FLUID MECHANICS AND HYDRAULIC MACHINERY
Properties of Fluids, Flow of liquids, Flow through pipes, Impact of Jets, Hydraulic Turbines,
Governing, Working principle and operation of Reciprocating and Centrifugal pumps
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Unit-XI: INDUSTRIAL MANAGEMENT
Principles and functions of management, organization structures, Production and materials
management, Marketing sales and Feasibility study, Entrepreneurial development, Principles of
ISO 9000, Total Quality Management, Industrial legislation and safety

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