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.
GENERAL ENGINEERING:
Engineering Materials: Structure and
properties of engineering materials and
their applications; effect of strain, strain
rate and temperature on mechanical
properties of metals and alloys; heat
treatment of metals and alloys.
Applied Mechanics: Engineering mechanics -
equivalent force systems, free body
concepts, equations of equilibrium, virtual
work and minimum potential energy; strength
of materials- stress, strain and their
relationship, Mohr's circle, deflection of
beams, bending and shear stress, Euler's
theory of columns.
Theory of Machines and Design: Analysis of
planar mechanisms, plane cams and followers;
governers and fly wheels; design of
elements-failure theories; design of bolted,
riveted and welded joints; design of shafts,
keys, belt drives, brakes and clutches.
Thermal Engineering: Fluid machines - fluid
statics, Bernoulli's equation, flow through
pipes, equations of continuity and momentum;
Thermodynamics - zeroth, First and Second
laws of thermodynamics, thermodynamic system
and processes, calculation of work and heat
for systems and control volumes; Heat
transfer - fundamentals of conduction,
convection and radiation.
PRODUCTION ENGINEERING
Metal Casting: Casting processes;
patterns-materials; allowances; moulds and
cores - materials, making and testing;
melting and founding of cast iron, steels
and nonferrous metals and alloys;
solidification; design of casting, gating
and risering; casting defects and
inspection.
Metal working: Stress-strain in elastic and
plastic deformation; deformation mechanisms;
hot and cold working-forging, rolling,
extrusion, wire and tube drawing; sheet
metal working; analysis of rolling, forging,
extrusion and wire /rod drawing; metal
working defects, high energy rate forming
processes-explosive, magnetic, electro and
electrohydraulic.
Metal Joining Processes: Welding processes -
gas shielded metal arc, TIG, MIG, submerged
arc, electrosl*g, thermit, resistance,
pressure and forge welding; thermal cutting;
other joining processes - soldering,
brazing, braze welding; welding codes,
welding symbols, design of welded joints,
defects and inspection; introduction to
modern welding processes - friction,
ultrasonic, explosive, electron beam, laser
and plasma.
Machining and Machine Tool Operations:
Machining processes-turning, drilling,
boring, milling, shaping, planing, sawing,
gear cutting, thread production, broaching,
grinding, lapping, honing super finishing;
mechanics of cutting- Merchant's analysis,
geometry of cutting tools, cutting forces,
power requirements; selection of process
parameters; tool materials, tool wear and
tool life, cutting fluids, machinability;
nontraditional machining processes and
hybrid processes- EDM, CHM, ECM, USM, LBM,
EBM, AJM, PAM AND WJM; economics of
machining.
Metrology and Inspection: Limits and fits,
linear and angular measurements by
mechanical and optical methods, comparators;
design of limit gauges; interferometry;
measurement of straightness, flatness,
roundness, squareness and symmetry; surface
finish measurement; inspection of screw
threads and gears; alignment testing.
Powder Metallurgy and Processing of
Plastics: Production of powders, compaction,
sintering; Polymers and composites;
injection, compression and blow molding,
extrusion, calendaring and thermoforming;
molding of composites.
Tool Engineering: Work-holding-location and
clamping; principles and methods; design of
jigs and fixtures; design of press working
tools, forging dies.
Manufacturing Analysis: Sources of errors in
manufacturing; process capability;
part-print analysis; tolerance analysis in
manufacturing and assembly; process
planning; parameter selection and comparison
of production alternatives; time and cost
analysis; Issues in choosing manufacturing
technologies and strategies.
Computer Integrated Manufacturing: Basic
concepts of CAD, CAM, CAPP, group
technology, NC, CNC, DNC, FMS, Robotics and
CIM.
INDUSTRIAL ENGINEERING
Product Design and Development: Principles
of good product design, component and
tolerance design; efficiency, quality and
cost considerations; product life cycle;
standardization, simplification,
diversification, value analysis, concurrent
engineering.
Engineering Economy and Costing: Financial
statements; elementary cost accounting,
methods of depreciation; break-even
analysis, techniques for evaluation of
capital investments.
Work System Design: Taylor's scientific
management, Gilbreths's contributions;
productivity concepts and measurements;
method study, micro-motion study, principles
of motion economy; human factors
engineering, ergonomics; work measurement -
time study, PMTS, work sampling; job
evaluation, merit rating, wage
administration, incentive systems; business
process reengineering.
Logistics and Facility Design: Facility
location factors, evaluation of
alternatives, types of plant layout,
evaluation; computer aided layout; assembly
line balancing; material handling systems;
supply chain management.
Production Planning and Inventory Control:
Inventory Function costs, classifications -
deterministic and probabilistic models;
quantity discount; safety stock; inventory
control system; Forecasting techniques -
causal and time series models, moving
average, exponential smoothing; trend and
seasonality; aggregate production planning;
master scheduling; bill of materials and
material requirement planning; order control
and flow control, routing, scheduling and
priority dispatching; JIT; Kanban PULL
systems; bottleneck scheduling and theory of
constraints.
Operation Research: Linear programming -
problem formulation, simplex method, duality
and sensitivity analysis; transportation;
assignment; network flow models, constrained
optimization and Lagrange multipliers;
simple queuing models; dynamic programming;
simulation; PERT and CPM, time-cost
trade-off, resource leveling.
Quality Control: Taguchi method; design of
experiments; quality costs, statistical
quality assurance, process control charts,
acceptance sampling, zero defects; quality
circles, total quality management.
Reliability and Maintenance: Reliability,
availability and maintainability;
probabilistic failure and repair times;
system reliability; preventive maintenance
and replacement, TPM.
Management Information System: Value of
information; information storage and
retrieval system - database and data
structures; interactive systems; knowledge
based systems.
Intellectual Property System: Definition of
intellectual property, importance of IPR;
TRIPS, and its implications, WIPO and Global
IP structure, and IPS in India; patent,
copyright, industrial design and trademark;
meanings, rules and procedures, terms,
infringements and remedies.
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