GATE SYLLABUS FOR PRODUCTION AND INDUSTRIAL ENGINEERING (PI)

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