GATE 2026 Production & Industrial Engineering Syllabus (Out) - Download GATE PI Syllabus PDF, Important Topics/Chapters, Section Wise Weightage

Engineering Mathematics

Linear Algebra

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

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

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

General Engineering

Engineering Materials

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

Manufacturing Processes I

Casting

Types of casting processes and applications; Sand casting: patterns – types, materials and allowances; molds and cores–materials, making, and testing; design of gating system and riser; casting techniques of cast iron, steels, and nonferrous metals and alloys; analysis of solidification and microstructure development; Other casting techniques: Pressure die casting, Centrifugal casting, Investment casting, Shell mold 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 metal working 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 molding, extrusion, calendaring and thermoforming; Molding of composites

Manufacturing Processes II

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 super-finishing

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 modeling, CNC; Automation in Manufacturing; Industrial Robots – configurations, drives and controls; Cellular manufacturing and FMS - Group Technology, CAPP

Quality and Reliability

Metrology and Inspection

Accuracy and precision; Types of errors; Limits, fits and tolerances; Gauge design, Interchangeability, Selective assembly; Linear, angular, and form measurements (straightness, flatness, roundness, runout and cylindricity) by mechanical and optical methods; Inspection of screw threads and gears; Surface roughness measurement by contact and non-contact methods

Quality Management

Quality – concept and costs; Statistical quality control – process capability analysis, control charts for variables and attributes and acceptance sampling; Six sigma; Total quality management; Quality assurance and certification - ISO 9000, ISO14000

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 and predictive maintenance and replacement, Total productive maintenance

Industrial Engineering

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

Operations Research and Operations Management

Operation Research

Linear programming – problem formulation, simplex method, duality and sensitivity analysis; Transportation and assignment models; Integer programming; Constrained and unconstrained nonlinear optimization; Markovian queuing models; 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; Activity-based costing

Production Control

Forecasting techniques – causal and time series models, moving average, exponential smoothing, trend and seasonality; Aggregate production planning; Master production scheduling; MRP, MRP-II and ERP; Routing, scheduling and priority dispatching; Push and pull production systems, concepts of Lean and JIT manufacturing systems; Logistics, distribution, and supply chain management; Inventory – functions, costs, classifications, deterministic inventory models, quantity discount; Perpetual and periodic inventory control systems

Project Management

Scheduling techniques – Gantt chart, CPM, PERT and GERT

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Analytical Aptitude

Logic

Deduction and induction, Analogy, Numerical relations and reasoning.

Spatial Aptitude

Transformation of shapes

Translation, rotation, scaling, mirroring, assembling, and grouping.

Paper folding, cutting, and patterns

In 2 and 3 dimensions.

Verbal Aptitude

Basic English grammar

Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech.

Basic vocabulary

Words, idioms, and phrases in context, reading and comprehension, narrative sequencing.

Quantitative Aptitude

Data interpretation

Data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables.

Numerical computation and estimation

Ratios, percentages, powers, exponents, logarithms, permutations and combinations, series.

Mensuration and geometry

Basic concepts of shapes, area, perimeter, and volume.

Elementary statistics and probability

Basic concepts and calculations in statistics and probability.

Engineering Mathematics

25%

General Engineering

23%

Manufacturing Processes I

18%

Manufacturing Processes II

20%

Quality and Reliability

10%

Industrial Engineering

11%

Operations Research and Operations Management

13%

Production and Operations Analysis

Steven Nahmias

Production Planning and Inventory Control

Seetharama L. Narasimhan, Dennis W. McLeavy, Peter J. Billington

Industrial Engineering and Management

O. P. Khanna

Operations Research: An Introduction

Taha H. A.

Engineering Metrology and Measurements

R. K. Jain

Manufacturing Science

Amitabha Ghosh, Ashok Kumar Mallik

Fundamentals of Metal Cutting and Machine Tools

B. L. Juneja, G. S. Sekhon, Nitin Seth

Work Systems and the Methods, Measurement, and Management of Work

Mikell P. Groover

Quality Control and Applications

B. L. Hansen

Operations Research

S. D. Sharma