Covers manufacturing processes, operations research, and industrial management, for roles in production and industrial systems.

GATE Production and Industrial Engineering

Official 2025 syllabus extracted from https://gate2025.iitr.ac.in/doc/2025/GATE%20_PI_2025_Syllabus.pdf

Engineering Mathematics

Matrix algebra

Systems of linear equations

Eigen values and eigen vectors

Linear Algebra

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

Calculus

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

Differential Equations

Analytic functions

Cauchy's integral theorem

Taylor series

Complex Variables

Definitions of probability and sampling theorems

Conditional probability

Mean, median, mode and standard deviation

Linear regression

Random variables

Poisson, normal, binomial and exponential distributions

Probability and Statistics

Numerical solutions of linear and nonlinear algebraic equations

Integration by trapezoidal and Simpson's rules

Single and multi-step methods for differential equations

Numerical Methods

General Engineering

Structure, physical and mechanical properties of 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

Engineering Materials

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

Applied Mechanics

Analysis of planar mechanisms

Cams and followers

Governors and fly wheels

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

Theory of Machines and Design

Fluid statics

Bernoulli's equation

Flow through pipes

Laminar and turbulent flows

Equations of continuity and momentum

Capillary action

Dimensional analysis

Zeroth, first and second laws of thermodynamics

Thermodynamic systems and processes

Work and heat calculations for systems and control volumes

Air standard cycles

Heat transfer: conduction, convection and radiation

Thermal and Fluids Engineering

Manufacturing Processes I

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, nonferrous metals and alloys

Analysis of solidification and microstructure development

Pressure die casting, centrifugal casting, investment casting, shell mold casting

Casting defects and inspection by non-destructive testing

Casting

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: forging, rolling, extrusion, wire drawing

Sheet metal working: blanking, punching, bending, stretch forming, spinning, deep drawing

Ideal work and slab analysis

Defects in metal working and their causes

Metal Forming

Classification of joining processes

Fusion welding with different heat sources: flame, arc, resistance, laser, electron beam

Heat transfer and associated losses

Arc welding processes: SMAW, GMAW, GTAW, plasma arc, submerged arc

Solid state welding: friction, friction stir, ultrasonic

Welding defects: causes and inspection

Adhesive joining, brazing and soldering

Joining of Materials

Production of metal/ceramic powders

Compaction and sintering

Cold and hot isostatic pressing

Powder Processing

Injection molding

Compression molding

Blow molding

Extrusion

Calendaring

Thermoforming

Molding of composites

Polymers and Composites

Manufacturing Processes II

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, super-finishing

Machining

Lathe, milling, drilling and shaping machines: construction and kinematics

Jigs and fixtures: principles, applications and design

Machine Tools

USM, AJM, WJM, AWJM

EDM and Wire EDM

LBM, EBM, PAM

CHM and ECM

Effect of process parameters on MRR, surface roughness and power consumption

Additive manufacturing techniques

Advanced Manufacturing

Basic concepts of CAD and CAM

Geometric modeling

Automation in manufacturing

Industrial robots: configurations, drives and controls

Cellular manufacturing and FMS

Group Technology

CAPP

Computer Integrated Manufacturing

Quality and Reliability

Accuracy and precision

Types of errors

Limits, fits and tolerances

Gauge design

Interchangeability

Selective assembly

Linear, angular and form measurements: straightness, flatness, roundness, runout, cylindricity

Inspection of screw threads and gears

Surface roughness measurement: contact and non-contact methods

Metrology and Inspection

Quality concept and costs

Statistical quality control: process capability analysis, control charts for variables and attributes

GATE Production and Industrial Engineering Syllabus 2025, 2026 and more: Subjects, Topics, and What to Study