GATE Production & Industrial Engineering Syllabus
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The GATE PI syllabus comprises several important subjects, including Engineering Mathematics, General Engineering, Manufacturing Processes I & II, Quality Management, Industrial Engineering, Operations Research, and Supply Chain Management. These subjects cover various topics such as linear algebra, calculus, statistics, welding, casting, forging, inspection, total quality management, work system design, facility design, and many more.
GATE Production & Industrial Engineering Syllabus
- Engineering Mathematics
- General Engineering
- Manufacturing Processes I
- Manufacturing Processes II
- Quality and Reliability
- Industrial Engineering
- Operations Research and Operations Management
- General Aptitude
Linear Algebra
Matrix algebra, Systems of linear equations, Eigenvalues, and EigenVectors
Calculus
Functions of a single variable; Mean value theorems, local maxima, and minima, Taylor and Maclaurin series; Limit, continuity, and differentiability; Evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume; Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface, and Volume integrals, Stokes, Gauss, and Green’s theorems; Partial derivatives; Total derivative;
Ordinary Differential Equation (ODE)
First order (linear and nonlinear) equations; higher order linear equations with constant coefficients; Laplace transform and its application in solving linear ODEs; Euler-Cauchy equations and boundary value problems.
Partial Differential Equation (PDE)
Fourier series; solutions of one-dimensional diffusion equation; separation of variables; first and second-order one-dimensional wave equation and two-dimensional Laplace equation.
Probability and Statistics
Definitions of probability and sampling theorems; Conditional probability; Descriptive statistics – Mean, median, mode, and standard deviation; Continuous random variables: normal and exponential distributions; Hypothesis testing; Continuous random variables, Discrete Random variables: Poisson and Binomial distributions: normal 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.
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 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
impact strength.
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.
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.flow.
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.
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
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 noncontact 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.
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.
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
QUANTITATIVE APTITUDE
Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing the data), 2- and 3-dimensional plots, maps, and tables Numerical computation and estimation: ratios, percentages, powers, exponents, and logarithms, permutations, and combinations, and series Mensuration and geometry Elementary statistics and probability.
ANALYTICAL APTITUDE
Logic: deduction and induction, Analogy, Numerical relations, and reasoning
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
SPATIAL APTITUDE
Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping Paper folding, cutting, and patterns in 2 and 3 dimensions
GATE Production & Industrial Engineering Subject Wise Weightage
The subject-wise marks distribution for the GATE PI exam varies each year. However, Engineering Mathematics is given the highest weightage of 13-15 marks, followed by General Engineering (13-15 marks), Manufacturing Processes I & II (8-10 marks each), Quality Management (8-10 marks), Industrial Engineering (8-10 marks), Operations Research (8-10 marks), and Supply Chain Management (8-10 marks).
Overall, the GATE PI syllabus is extensive and covers a broad range of topics in production and industrial engineering. Therefore, candidates need to prepare well and have a thorough understanding of each subject to perform well in the exam. Take a look at the GATE PI Subject Wise marks distribution below.
| Subject | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| General Aptitude |
15 |
15 |
15 |
15 |
15 |
15 |
15 |
15 |
15 |
15 |
15 |
| Engg. Maths |
15 |
15 |
13 |
13 |
13 |
13 |
13 |
13 |
13 |
11 |
10 |
| IM &OR |
18 |
22 |
20 |
18 |
20 |
26 |
25 |
31 |
24 |
25 |
33 |
| Production Engg. |
22 |
24 |
28 |
24 |
26 |
25 |
31 |
25 |
22 |
29 |
27 |
| SM & Engg. |
8 |
4 |
8 |
12 |
10 |
5 |
7 |
4 |
8 |
7 |
7 |
| Machine Design |
3 |
4 |
2 |
0 |
0 |
5 |
0 |
0 |
1 |
3 |
1 |
| FM |
4 |
4 |
2 |
4 |
5 |
4 |
3 |
4 |
5 |
6 |
1 |
| Material Science |
3 |
2 |
3 |
4 |
3 |
4 |
1 |
1 |
4 |
1 |
3 |
| Thermal Engg. |
6 |
4 |
4 |
4 |
3 |
2 |
2 |
4 |
3 |
2 |
2 |
| Heat Transfer |
2 |
2 |
2 |
2 |
2 |
1 |
0 |
0 |
2 |
1 |
0 |
| Theory of Machines |
4 |
4 |
3 |
4 |
3 |
0 |
3 |
3 |
3 |
0 |
1 |
