Graduate Aptitude Test in Engineering (GATE) Syllabus | Production & Industrial Engineering
- Linear Algebra: Determinants; algebra of matrices; rank; inverse; systems of linear equations; eigenvalues and eigenvectors; quadratic forms.
- Calculus: Taylor series, Fourier series, partial derivatives, total derivatives, definite and improper integral, multiple integrals.
Vector calculus: Gradient; divergence and curl; vector identities; line integral and surface integral; Green, Gauss and Stokes theorem.
Differential Equations: Ordinary
differential equations; first order equations (linear and nonlinear);
higher order liner differential equations with constant coefficients;
methods of variations of parameters; Cauchy’s or Euler’s equations;
initial and boundary value problems; Laplace transform, partial
differential equation. Probability and Statistics:
Probability spaces; conditional probability; Bayes theorem; standard
distributions and their properties; central limit theorem; sampling
distribution; estimation; testing of hypotheses; method of least
squares; regression analysis; analysis of variance.
Programming and Numerical Methods: Elementary numerical methods in
calculus and ordinary differential equations, elements of programming
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
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
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.
- 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
Metal Joining Processes: Welding processes – gas shielded metal arc, TIG, MIG, submerged arc,
electroslag, 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 choosingmanufacturing technologies and strategies.
Computer Integrated Manufacturing: Basic concepts of CAD, CAM, CAPP, group technology, NC, CNC, DNC, FMS, Robotics and CIM.
- 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,
- 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
-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
-Management Information System: Value of information; information storage and retrieval system
-database and data structures; interactive systems; knowledge based
-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.