GATE Production and Industrial Engineering Syllabus 2025: Download Detailed PI Syllabus PDF

Topics

Sub Topics

Linear Algebra

Matrix algebra, Systems of linear equations, Eigenvalues and Eigenvectors.

Calculus

Functions of a 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.

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, Linear regression, Random variables, Poisson, normal, binomial and exponential distributions.

Numerical Methods

Numerical solutions of linear and nonlinear algebraic equations, Integration by trapezoidal and Simpson’s rules, Single and multi-step methods for differential equations.

Casting

Types of casting processes and applications; Sand casting: patterns – types, materials and allowances; moulds and cores–materials, making, and testing; design of gating system and riser; casting techniques of cast iron, steels, and non-ferrous metals and alloys; analysis of solidification and microstructure development; Other casting techniques: Pressure die casting, Centrifugal casting, Investment casting, Shell mould casting; Casting defects and their inspection by non-destructive testing.

Metal Forming

Stress-strain relations in elastic and plastic deformation; von Mises and Tresca yield criteria, Concept of flow stress; Hot, warm and cold working; Bulk-forming processes – forging, rolling, extrusion and wire drawing; Sheet metal working processes – blanking, punching, bending, stretch forming, spinning and deep drawing; Ideal work and slab analysis; Defects in metalworking and their causes.

Joining of Materials

Classification of joining processes; Principles of fusion welding processes using different heat sources (flame, arc, resistance, laser, electron beam), Heat transfer and associated losses; Arc welding processes – SMAW, GMAW, GTAW, plasma arc, submerged arc welding processes; Principles of solid-state welding processes – friction welding, friction stir welding, ultrasonic welding; Welding defects – causes and inspection; Principles of adhesive joining, brazing and soldering processes.

Powder Processing

Production of metal/ceramic powders, compaction and sintering of metals and ceramic powders, Cold and hot isostatic pressing.

Polymers and Composites

Polymer processing – injection, compression and blow moulding, extrusion, calendaring and thermoforming; Molding of composites.

Machining

Orthogonal and oblique machining, Single point cutting tool and tool signature, Chip formation, cutting forces, Merchant’s analysis, Specific cutting energy and power; Machining parameters and material removal rate; tool materials, tool wear and tool life; Thermal aspects of machining, cutting fluids, machinability; Economics of machining; Machining processes – turning, taper turning, thread cutting, drilling, boring, milling, gear cutting, thread production; Finishing processes – grinding, honing, lapping and superfinishing.

Machine Tools

Lathe, milling, drilling and shaping machines – construction and kinematics; Jigs and fixtures –principles, applications, and design.

Advanced Manufacturing

Principles and applications of USM, AJM, WJM, AWJM, EDM and Wire EDM, LBM, EBM, PAM, CHM, ECM; Effect of process parameters on material removal rate, surface roughness and power consumption; Additive manufacturing techniques.

Computer Integrated Manufacturing

Basic concepts of CAD and CAM, Geometric modelling, CNC; Automation in Manufacturing; Industrial Robots – configurations, drives and controls; Cellular manufacturing and FMS – Group Technology, CAPP.

Engineering Materials

Structure, physical and mechanical properties, and applications of common engineering materials (metals and alloys, semiconductors, ceramics, polymers, and composites – metal, polymer and ceramic based); Iron-carbon equilibrium phase diagram; Heat treatment of metals and alloys and its influence on mechanical properties; Stress-strain behaviour of metals and alloys.

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 stresses; Euler’s theory of columns; Thick and thin cylinders; Torsion.

Theory of Machines and Design

Analysis of planar mechanisms, cams and followers; Governors and flywheels; Design of bolted, riveted and welded joints; Interference/shrink-fit joints; Friction and lubrication; Design of shafts, keys, couplings, spur gears, belt drives, brakes and clutches; Pressure vessels.

Thermal and Fluids Engineering

Fluid mechanics – fluid statics, Bernoulli’s equation, flow through pipes, laminar and turbulent flows, equations of continuity and momentum, capillary action; Dimensional analysis; Thermodynamics – zeroth, first and second laws of thermodynamics, thermodynamic systems and processes, calculation of work and heat for systems and control volumes; Air standard cycles; Heat transfer – basic applications of conduction, convection and radiation.

Product Design and Development

Principles of product design, tolerance design; quality and cost considerations; product life cycle; standardization, simplification, diversification; Value engineering and analysis; Concurrent engineering; Design for “X”.

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 and merit rating.

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.

Book Name

Author Name

GATE Guide for Production and Industrial Engineering

GK Publications

Industrial Engineering and Production Management

Martand Telsang

Production Technology: Manufacturing Processes, Technology and Automation

RK Jain

GATE Paper Production and Industrial Engineering - Solved Papers

G.K Publications

CMOS Gate-Stack Scaling - Materials, Interfaces and Reliability Implications: Volume 1155 (English, Paperback, unknown)

Cambridge University Press

Industrial Engineering

Engineering Mathematics

Product Design and Development

Technology and Automation

Applied Mechanics

General Aptitude