Matrix algebra, Systems of linear equations, Eigen values
and eigen vectors.
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
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.
Analytic functions, Cauchy’s integral theorem, Taylor and
Probability and Statistics:
Definitions of probability and sampling theorems, Conditional
probability, Mean, median, mode and standard deviation,
Random variables, Poisson, Normal and Binomial
Numerical solutions of linear and non-linear algebraic
equations Integration by rapezoidal and Simpson’s rule,
single and multi-step methods for differential equations.
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, its influence on mechanical
Engineering mechanics - equivalent force systems, free body
concepts, equations of equilibrium; 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, cams and followers; governors
and fly wheels; design of elements - failure theories;
design of bolted, riveted and welded joints; design of
shafts, keys, spur gears, belt drives, brakes and clutches.
Fluid mechanics - fluid statics, Bernoulli’s equation, flow
through pipes, equations of continuity and momentum;
thermodynamics - zeroth, first and second law of
thermodynamics, thermodynamic system and processes,
calculation of work and heat for systems and control
volumes; air standard cycles; basics of internal combustion
engines and steam turbines; heat transfer - fundamentals of
conduction, convection and radiation, heat exchangers.
Casting processes - types and applications; patterns - types
and materials; allowances; moulds and cores - materials,
making, and testing; casting techniques of cast iron, steels
and nonferrous metals and alloys; solidification; design of
casting, gating and risering; casting inspection, defects
Stress-strain relations in elastic and plastic deformation;
concept of flow stress, deformation mechanisms; hot and cold
working - forging, rolling, extrusion, wire and tube
drawing; sheet metal working processes such as blanking,
piercing, bending, deep drawing, coining and embossing;
analysis of rolling, forging, extrusion and wire /rod
drawing; metal working defects.
Metal Joining Processes:
Welding processes - manual metal arc, MIG, TIG, plasma arc,
submerged arc, electroslag, thermit, resistance, forge,
friction, and explosive welding;other joining processes -
soldering, brazing, braze welding; inspection of welded
joints, defects and remedies; introduction to advanced
welding processes - ultrasonic, electron beam, laser beam;
Machining and Machine Tool Operations:
Basic machine tools; machining processes-turning, drilling, boring,
milling, shaping, planing, gear cutting, thread production,
broaching, grinding, lapping, honing, super finishing;
mechanics of machining - geometry of cutting tools, chip
formation, cutting forces and power requirements, Merchant’s
analysis; selection of machining
parameters; tool materials, tool wear and tool life,
economics of machining, thermal aspects of machining,
cutting fluids, machinability; principles and applications
of nontraditional machining processes - USM, AJM, WJM, EDM
and Wire cut EDM, LBM, EBM, PAM, CHM, ECM.
Jigs and fixtures - principles, applications, and design;
press tools - configuration, design of die and punch;
principles of forging die design.
Metrology and Inspection:
Limits, fits, and tolerances, interchangeability, selective
assembly; 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 of machine tools.
Production of metal powders, compaction and sintering.
Polymers and Composites:
Introduction to polymers and composites; plastic processing
- injection, compression and blow molding, extrusion,
calendaring and thermoforming; molding of composites.
Sources of errors in manufacturing; process capability;
tolerance analysis in manufacturing and assembly; process
planning; parameter selection and comparison of production
alternatives; time and cost analysis; manufacturing
technologies - strategies and selection.
Computer Integrated Manufacturing:
Basic concepts of CAD, CAM, CAPP, cellular manufacturing, NC, CNC,
DNC, Robotics, FMS, and CIM.
Product Design and Development:
Principles of good product design, tolerance design; quality and
cost considerations; product life cycle; standardization,
simplification, diversification, value engineering and
analysis, concurrent engineering.
Engineering Economy and Costing:
Elementary cost accounting and methods of depreciation;
break-even analysis, techniques for evaluation of capital
investments, financial statements.
Work System Design:
Taylor’s scientific management, Gilbreths’s contributions;
productivity - concepts and measurements; method study,
micro-motion study, principles of motion economy; work
measurement - stop watch time study, work sampling, standard
data, PMTS; ergonomics; job evaluation, merit rating,
incentive schemes, and wage administration; business process
Facility location factors and evaluation of alternate
locations; types of plant layout and their evaluation;
computer aided layout design techniques; assembly line
balancing; materials handling systems.
Production Planning and Inventory Control:
Forecasting techniques - causal and time series models, moving
average, exponential smoothing, trend and seasonality;
aggregate production planning; master production scheduling;
MRP and MRP-II; order control and flow control; routing,
scheduling and priority dispatching; push and pull
production systems, concept of JIT
manufacturing system; logistics, distribution, and supply
chain management; Inventory - functions, costs,
classifications, deterministic and probabilistic inventory
models, quantity discount; perpetual and periodic inventory
Linear programming - problem formulation, simplex method,
duality and sensitivity analysis; transportation and
assignment models; network flow models, constrained
optimization and Lagrange multipliers; simple queuing
models; dynamic programming; simulation- manufacturing
applications; PERT and CPM, time-cost trade-off, resource
Quality - concept and costs, quality circles, quality
assurance; statistical quality control, acceptance sampling,
zero defects, six sigma; total quality management; ISO 9000;
design of experiments - Taguchi method.
Reliability and Maintenance:
Reliability, availability and maintainability; distribution of
failure and repair times; determination of MTBF and MTTR,
reliability models; system reliability determination;
preventive maintenance and replacement, total productive
maintenance – concept and applications.
Management Information System:
Value of information; information storage and retrieval
system - database and data structures; knowledge based
Intellectual Property System:
Definition of intellectual property, importance of IPR;
TRIPS and its implications, patent, copyright, industrial
design and trademark.