Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
Matrix algebra, systems of linear equations, eigenvalues and eigenvectors.
Functions of single variable, limit, continuity and differentiability, mean value theorems,
indeterminate forms; evaluation of definite and improper integrals; double and triple integrals; partial
derivatives, total derivative, Taylor series (in one and two variables), maxima and minima, Fourier
series; gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume
integrals, applications of Gauss, Stokes and Green’s theorems.
First order equations (linear and nonlinear); higher order linear differential
equations with constant coefficients; Euler-Cauchy equation; initial and boundary value problems;
Laplace transforms; solutions of heat, wave and Laplace’s equations.
Analytic functions; Cauchy-Riemann equations; Cauchy’s integral theorem and
integral formula; Taylor and Laurent series.
Numerical solutions of linear and non-linear algebraic equations; integration by
trapezoidal and Simpson’s rules; single and multi-step methods for differential equations.
Probability and Statistics:
Definitions of probability, sampling theorems, conditional probability; mean,
median, mode and standard deviation; random variables, binomial, Poisson and normal distributions.
Applied Mechanics and Design:
Free-body diagrams and equilibrium; trusses and frames; virtual work;
kinematics and dynamics of particles and of rigid bodies in plane motion; impulse and momentum
(linear and angular) and energy formulations, collisions.
Mechanics of Materials:
Stress and strain, elastic constants, Poisson’s ratio; Mohr’s circle for plane stress
and plane strain; thin cylinders; shear force and bending moment diagrams; bending and shear stresses;
deflection of beams; torsion of circular shafts; Euler’s theory of columns; energy methods; thermal
stresses; strain gauges and rosettes; testing of materials with universal testing machine; testing of
hardness and impact strength.
Theory of Machines:
Displacement, velocity and acceleration analysis of plane mechanisms; dynamic
analysis of linkages; cams; gears and gear trains; flywheels and governors; balancing of reciprocating
and rotating masses; gyroscope.
Free and forced vibration of single degree of freedom systems, effect of damping; vibration
isolation; resonance; critical speeds of shafts.
Design for static and dynamic loading; failure theories; fatigue strength and the S-N
diagram; principles of the design of machine elements such as bolted, riveted and welded joints; shafts,
gears, rolling and sliding contact bearings, brakes and clutches, springs.
Fluid Mechanics and Thermal Sciences
Fluid properties; fluid statics, manometry, buoyancy, forces on submerged bodies,
stability of floating bodies; control-volume analysis of mass, momentum and energy; fluid acceleration;
differential equations of continuity and momentum; Bernoulli’s equation; dimensional analysis; viscous
flow of incompressible fluids, boundary layer, elementary turbulent flow, flow through pipes, head
losses in pipes, bends and fittings.
Modes of heat transfer; one dimensional heat conduction, resistance concept and
electrical analogy, heat transfer through fins; unsteady heat conduction, lumped parameter system,
Heisler’s charts; thermal boundary layer, dimensionless parameters in free and forced convective heat
transfer, heat transfer correlations for flow over flat plates and through pipes, effect of turbulence; heat
exchanger performance, LMTD and NTU methods; radiative heat transfer, Stefan- Boltzmann law,
Wien’s displacement law, black and grey surfaces, view factors, radiation network analysis.
Thermodynamic systems and processes; properties of pure substances, behavior of
ideal and real gases; zeroth and first laws of thermodynamics, calculation of work and heat in various
processes; second law of thermodynamics; thermodynamic property charts and tables, availability and
irreversibility; thermodynamic relations.
Power Engineering: Air and gas compressors; vapour and gas power cycles, concepts of
regeneration and reheat. I.C. Engines: Air-standard Otto, Diesel and dual cycles. Refrigeration and air-
conditioning: Vapour and gas refrigeration and heat pump cycles; properties of moist air, psychrometric
chart, basic psychrometric processes. Turbo machinery: Impulse and reaction principles, velocity
diagrams, Pelton-wheel, Francis and Kaplan turbines.
Materials, Manufacturing and Industrial Engineering
Structure and properties of engineering materials, phase diagrams, heat
treatment, stress-strain diagrams for engineering materials.
Casting, Forming and Joining Processes:
Different types of castings, design of patterns, moulds and
cores; solidification and cooling; riser and gating design. Plastic deformation and yield criteria;
fundamentals of hot and cold working processes; load estimation for bulk (forging, rolling, extrusion,
drawing) and sheet (shearing, deep drawing, bending) metal forming processes; principles of powder
metallurgy. Principles of welding, brazing, soldering and adhesive bonding.
Machining and Machine Tool Operations:
Mechanics of machining; basic machine tools; single and
multi-point cutting tools, tool geometry and materials, tool life and wear; economics of machining;
principles of non-traditional machining processes; principles of work holding, design of jigs and fixtures.
Metrology and Inspection:
Limits, fits and tolerances; linear and angular measurements; comparators;
gauge design; interferometry; form and finish measurement; alignment and testing methods; tolerance
analysis in manufacturing and assembly.
Computer Integrated Manufacturing:
Basic concepts of CAD/CAM and their integration tools.
Production Planning and Control:
Forecasting models, aggregate production planning, scheduling,
materials requirement planning.
Deterministic models; safety stock inventory control systems.
Linear programming, simplex method, transportation, assignment, network flow
models, simple queuing models, PERT and CPM.