Engineering Mathematics
Linear
Algebra:
Matrix algebra, Systems of
linear equations, Eigen values and eigen vectors.
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, its influence on mechanical properties.
Applied
Mechanics:
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; governers 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.
Thermal
Engineering:
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.
Production Engineering
Metal
Casting:
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 and remedies.
Metal
Forming:
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; thermal cutting.
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.
Tool
Engineering:
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.
Powder
Metallurgy:
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.
Manufacturing
Analysis:
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.
Industrial Engineering
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
reengineering.
Facility
Design:
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 control systems.
Operations
Research:
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
leveling.
Quality
Management:
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 systems.
Intellectual
Property System:
Definition of intellectual
property, importance of IPR; TRIPS and its implications, patent,
copyright, industrial design and trademark.
Source: gate.iitd.ac.in
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