ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of
linear equations, Eigen values and
eigenvectors.
Calculus: Functions of single variable,
Limit, continuity and differentiability,
Mean value theorems, Evaluation of definite
and improper integrals, Partial derivatives,
Total derivative, 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 multi-step methods for
differential equations.
APPLIED MECHANICS AND DESIGN
Engineering Mechanics: Equivalent force
systems, free-body concepts, equations of
equilibrium, trusses and frames, virtual
work and minimum potential energy.
Kinematics and dynamics of particles and
rigid bodies, impulse and momentum (linear
and angular), energy methods, central force
motion.
Strength of Materials: Stress and strain,
stress-strain relationship and elastic
constants, Mohr's circle for plane stress
and plane strain, shear force and bending
moment diagrams, bending and shear stresses,
deflection of beams, torsion of circular
shafts, thin and thick cylinders, Euler's
theory of columns, strain energy methods,
thermal stresses.
Theory of Machines: Displacement, velocity
and acceleration, analysis of plane
mechanisms, dynamic analysis of slider-crank
mechanism, planar cams and followers, gear
tooth profiles, kinematics of gears,
governors and flywheels, balancing of
reciprocating and rotating masses.
Vibrations: Free and forced vibration of
single degree freedom systems, effect of
damping, vibration isolation, resonance,
critical speed of rotors.
Design of Machine Elements: Design for
static and dynamic loading, failure
theories, fatigue strength; design of
bolted, riveted and welded joints; design of
shafts and keys; design of spur gears,
rolling and sliding contact bearings; brakes
and clutches; belt, rope and chain drives.
FLUID MECHANICS AND THERMAL SCIENCES
Fluid Mechanics: Fluid properties, fluid
statics, manometry, buoyancy; control-volume
analysis of mass, momentum and energy; fluid
acceleration; differential equations of
continuity and momentum; Bernoulli's
equation; viscous flow of incompressible
fluids; boundary layer; elementary turbulent
flow; flow through pipes, head losses in
pipes, bends etc.
Heat-Transfer: Modes of heat transfer; one
dimensional heat conduction, resistance
concept, electrical analogy, unsteady heat
conduction, fins; dimensionless parameters
in free and forced convective heat transfer,
various correlations for heat transfer in
flow over flat plates and through pipes;
thermal boundary layer; effect of
turbulence; radiative heat transfer, black
and grey surfaces, shape factors, network
analysis; heat exchanger performance, LMTD
and NTU methods.
Thermodynamics: Zeroth, First and Second
laws of thermodynamics; thermodynamic system
and processes; irreversibility and
availability; behaviour of ideal and real
gases, properties of pure substances,
calculation of work and heat in ideal
processes; analysis of thermodynamic cycles
related to energy conversion; Carnot,
Rankine, Otto, Diesel, Brayton and vapour
compression cycles.
Power Plant Engineering: Steam generators;
steam power cycles; steam turbines; impulse
and reaction principles, velocity diagrams,
pressure and velocity compounding; reheating
and reheat factor; condensers and feed
heaters.
I.C. Engines: Requirements and suitability
of fuels in IC engines, fuel ratings,
fuel-air mixture requirements; normal
combustion in SI and CI engines; engine
performance calculations.
Refrigeration and air-conditioning:
Refrigerant compressors, expansion devices,
condensers and evaporators; properties of
moist air, psychrometric chart, basic
psychometric processes.
Turbomachinery: Components of gas turbines;
compression processes, centrifugal and axial
flow compressors; axial flow turbines,
elementary theory; hydraulic turbines; Euler-turbine
equation; specific speed, Pelton-wheel,
Francis and Kaplan turbines; centrifugal
pumps.
MANUFACTURING AND INDUSTRIAL ENGINEERING
Engineering Materials: Structure and
properties of engineering materials and
their applications, heat treatment.
Metal Casting: Casting processes (expendable
and non-expendable) -pattern, moulds and
cores, heating and pouring, solidification
and cooling, gating design, design
considerations, defects.
Forming Processes: Stress-strain diagrams
for ductile and brittle material, Plastic
deformation and yield criteria, fundamentals
of hot and cold working processes, Bulk
metal forming processes (forging, rolling,
extrusion, drawing), sheet metal working
processes (punching, blanking, bending, deep
drawing, coining, spinning, load estimation
using homogeneous deformation methods,
defects). processing of powder metals-
atomization, compaction, sintering,
secondary and finishing operations. forming
and shaping of plastics- extrusion,
injection moulding.
Joining Processes: Physics of welding,
fusion and non-fusion welding processes,
brazing and soldering, adhesive bonding,
design considerations in welding, weld
quality defects.
Machining and Machine Tool Operations:
Mechanics of machining, single and
multi-point cutting tools, tool geometry and
materials, tool life and wear, cutting
fluids, machinability, economics of
machining, non-traditional machining
processes.
Metrology and Inspection: Limits, fits and
tolerances, linear and angular measurements,
comparators, gauge design, interferometry,
form and finish measurement, measurement of
screw threads, alignment and testing
methods.
Tool Engineering: Principles of work
holding, design of jigs and fixtures.
Computer Integrated Manufacturing: Basic
concepts of CAD, CAM and their integration
tools.
Manufacturing Analysis: Part-print analysis,
tolerance analysis in manufacturing and
assembly, time and cost analysis.
Work-Study: Method study, work measurement,
time study, work sampling, job evaluation,
merit rating.
Production Planning and Control: Forecasting
models, aggregate production planning,
master scheduling, materials requirements
planning.
Inventory Control: Deterministic and
probabilistic models, safety stock inventory
control systems.
Operations Research: Linear programming,
simplex and duplex method, transportation,
assignment, network flow models, simple
queuing models, PERT and CPM
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