GATE Production and Industrial Engineering Syllabus:
Section 1: 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.
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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 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.
Section 2: General Engineering
Engineering Materials: Structure and properties correlation; engineering materials
(metals, ceramics, polymers and composites) – properties and applications; stress-
strain behavior of metals and alloys; iron-carbon phase diagram, heat treatment
of metals and alloys, its influence on mechanical properties.
Applied Mechanics: Engineering mechanics – equivalent
force systems, free body concepts, equations of
equilibrium; trusses; strength of materials –
stress, strain and their relationship; failure theories, Mohr’s circle(stress),
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 bolted, riveted and welded joints; interference/shrink fit joints;
design of shafts, keys, spur gears, belt drives, brakes and clutches; pressure
vessels.
Thermal and Fluids Engineering: Fluid mechanics – fluid statics, Bernoulli’s equation, flow through pipes, equations of continuity and momentum, capillary action, contact
angle and wetting; 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; heat transfer –
basic applications of conduction, convection and radiation.
Section 3: Manufacturing Processes I
Casting: types of
casting processes 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; analysis of solidification
and microstructure development; design of gating and riser; origin of defects.
Metal Forming: Stress-strain
relations in elastic and plastic deformation; concept of flow stress; hot and cold working – forging,
rolling, extrusion and wire drawing; sheet metal working processes – blanking,
bending and deep drawing; ideal work and slab analysis; origin of metal working
defects.
Joining of materials: Principles of fusion welding processes(manual metal arc, MIG, TIG,
plasma arc, submerged
arc welding processes)–different heat sources (flame, arc, resistive, laser,
electron beam), and heat transfer and associated losses, flux application,
feeding of filler rod; Principles of solid state welding processes (friction,
explosive welding, ultrasonic welding processes); Principles of adhesive,
brazing and soldering processes; Origins of welding defects.
Powder processing: Production of metal/ceramic powders, compaction and sintering of
metals and ceramic powders.
Polymers and Composites: Plastic processing – injection,
compression and blow molding, extrusion, calendaring and thermoforming; molding of composites.
Section 4: Manufacturing Processes II
Machine Tools and Machining: Basic machine tools like centre lathe, milling machine, and
drilling machine
– construction and kinematics; machining processes - turning, taper turning,
thread cutting, drilling, boring, milling, gear cutting, thread production,
grinding; geometry of single point cutting tools, chip formation, cutting
forces, specific cutting energy and power requirements, Merchant’s analysis;
basis of selection of machining parameters; tool materials, tool wear and tool
life, economics of machining, thermal aspects of machining, cutting fluids,
machinability; Jigs and fixtures – principles, applications, and design
Non-traditional Manufacturing: Principles, applications, effect of process parameters on MRR
and product quality
of non-traditional machining processes – USM, AJM, WJM, AWJM, EDM and Wire cut
EDM, LBM, EBM, PAM, CHM, ECM.
Computer Integrated Manufacturing: Basic concepts of CAD – geometric
modeling, CAM – CNC and robotics –
configurations, drives and controls, Group Technology and its applications –
CAPP, cellular manufacturing and FMS.
Section 5: Quality and Reliability
Metrology and Inspection: Limits, fits, and tolerances, gauge design, interchangeability,
selective assembly;
linear, angular, and form measurements(straightness, squareness, flatness,
roundness, and cylindricity) by mechanical and optical methods; inspection of
screw threads and gears; surface finish measurement by contact and non-contact
methods; tolerance analysis in manufacturing and assembly.
Quality management: Quality – concept
and costs; quality assurance; statistical quality control, acceptance sampling, zero defects,
six sigma; total quality management; ISO 9000.
Reliability and Maintenance: Reliability, availability and maintainability; distribution of
failure and repair times; determination of MTBF and MTTR, reliability models;
determination of system reliability; preventive maintenance and replacement.
Section 6: 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; comparison of production alternatives.
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
–time study, work sampling, standard data, PMTS; ergonomics;
job evaluation, merit rating, incentive schemes, and wage administration.
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.
Section 7: Operations research and Operations management
Operation Research: Linear programming – problem
formulation, simplex method, duality and sensitivity analysis; transportation
and assignment models; network flow models, constrained optimization and
Lagrange multipliers; Markovian queuing models; dynamic programming; simulation
– manufacturing applications.
Engineering Economy and Costing: Elementary cost accounting and methods of depreciation; break-even analysis, techniques for
evaluation of capital investments, financial statements, time-cost trade-off,
resource leveling.
Production 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; 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 inventory models, quantity discount; perpetual
and periodic inventory control systems.
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