**GATE Production and Industrial Engineering Syllabus (PI) : **GATE Syllabus is based on the different stream according to the qualifying examination. IIT Madras has define GATE syllabus in this year according to the 23 papers. These will be conducted for admissions to the M.Tech programmes which is offered by the IITs and IISC. The GATE syllabus 2019 will be same according to the previous year. The national level engineering entrance exam will be conducted for post graduation courses on February 2rd & 3th and February 9th & 10th, 2019. Candidates need to review GATE syllabus 2019 for the stream that they will be appearing for.The syllabus defines that what are the topics their subtopics they need to prepares for the appearing examination.Candidates can download GATE syllabus 2019 from below given table where the syllabus are given for every stream. The syllabus is the very important part of the examination because it plays an important role in the examination.

**GATE 2019 Exam Dates has been released now, Click Here for more information**

**GATE Production and Industrial Engineering Syllabus (PI)**

GATE Production and Industrial Engineering (PI) Sections consists of some of the Arithmetic Problems, **Engineering Mathematics** and Production and Industrial Engineering (PI) .

**Let’s discuss GATE Production and Industrial Engineering Syllabus (PI), Check Below;**

### GATE Engineering Mathematics Syllabus

### Linear Algebra

**Algebra of matrices:** Inverse and rank of a matrix; System of linear equations; Symmetric, skew-symmetric and orthogonal matrices; Determinants; Eigenvalues and eigen vectors, Diagonalisation of matrices; Cayley-Hamilton Theorem.

### Calculus

**Functions of single variable:** Limit, continuity and differentiability; Mean value theorems, Indeterminate forms and L’Hospital’s rule; Maxima and minima; Taylor’s theorem, Fundamental theorem and mean value-theorems of integral calculus; Evaluation of definite and improper integrals; Applications of definite integrals to evaluate areas and volumes.

**Functions of two variables:** Limit, continuity and partial derivatives; Directional derivative, Total derivative; Tangent plane and normal line; Maxima, minima and saddle points, Method of Lagrange multipliers; Double and triple integrals, and their applications.

**Sequence and series:** Convergence of sequence and series; Tests for convergence, Power series; Taylor’s series; Fourier Series; Half range sine and cosine series.

### Vector Calculus

Gradient, divergence and curl; Line and surface integrals; Green’s theorem, Stokes theorem and Gauss divergence theorem (without proofs).

### Complex Variable

Analytic functions; Cauchy-Riemann equations; Line integral, Cauchy’s integral theorem and integral formula (without proof); Taylor’s series and Laurent series; Residue theorem (without proof) and its applications.

### Ordinary Differential Equation

First order equations (linear and nonlinear); Higher order linear differential equations with constant coefficients; Second order linear differential equations with variable coefficients; Method of variation of parameters; Cauchy-Euler equation; Power series solutions; Legendre polynomials, Bessel functions of the first kind and their properties.

### Partial Differential Equation

Classification of second order linear partial differential equations; Method of separation of variables; Laplace equation; Solutions of one dimensional heat and wave equations.

### Probability

Axioms of probability; Conditional probability; Bayes’ Theorem; Discrete and continuous random variables: Binomial, Poisson and normal distributions; Correlation and linear regression.

### Numerical Methods

Solution of systems of linear equations using LU decomposition, Gauss elimination and Gauss-Seidel methods; Lagrange and Newton’s interpolations, Solution of polynomial and transcendental equations by Newton-Raphson method; Numerical integration by trapezoidal rule, Simpson’s rule and Gaussian quadrature rule; Numerical solutions of first order differential equations by Euler’s method and 4th order Runge-Kutta method.

### Also Check:

**GATE Syllabus****GATE 2019 Exam Dates****GATE 2019 Eligibility Criteria****GATE Exam Pattern****GATE Exam Centers**

### Books for GATE Engineering Mathematics

GATE Engineering Mathematics Book Name | Buy Now |
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Engineering Mathematics for GATE & ESE (Prelims) 2019 – Theory & Previous Year Solved Questions |
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GATE ESE 2019 Engineering Mathematics, ECE,EEE,INST,MECH,CE,PI, 25 Years of Previous GATE Questions with Solutions, Subject Wise & Chapter Wise |
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Engineering Mathematics : ESE, GATE, PSUs 2019 | Click Here |

**GATE Production and Industrial Engineering Syllabus (PI) – General Engineering**

**Engineering Materials:** Structure and properties correlation;engineering materials (metals, ceramics, polymers and composites) – properties and applications; stress train behavior of metals and alloys;iron-carbon phase diagram, heat treatment of metals and alloys, its influence on mechanical properties.

**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 stress, Euler’s theory of columns.

**Theory of Machines and Design:** Analysis of planar mechanisms, cams and followers; governors and fly wheels; design of bolted, riveted and welded joints; interference/shrink fit joints; design of shafts, keys, spur gears, belt drives, brakes and clutches; pressure vessels.

**Thermal and Fluids Engineering:** Fluid mechanics – fluid statics, Bernoulli’s equation, flow through pipes, equations of continuity and momentum, capillary action, contact angle and wetting; thermodynamics – zeroth, first and second law of thermodynamics, thermodynamic system and processes, calculation of work and heat for systems and control volumes; air standard cycles; heat transfer –basic applications of conduction, convection and radiation.

**GATE Production and Industrial Engineering Syllabus (PI) – Manufacturing Processes I**

**Casting:** types of casting processes and applications; patterns – types and materials; allowances; moulds and cores – materials, making, and testing; casting techniques of cast iron, steels and nonferrous metals and alloys; analysis

of solidification and micro structure development; design of gating and riser; origin of defects

**Metal Forming:** Stress-strain relations in elastic and plastic deformation; concept of flow stress; hot and cold working – forging, rolling, extrusion and wire drawing; sheet metal working processes – blanking, bending and deep drawing; ideal work and slab analysis;origin of metal working defects.

**Joining of materials:** Principles of fusion welding processes(manual metal arc, MIG, TIG, plasma arc, submerged arc welding processes)–different heat sources (flame, arc, resistive, laser, electron beam), and heat transfer and associated losses, flux application, feeding of filler rod; Principles of solid state welding processes (friction, explosive welding, ultrasonic welding processes); Principles of adhesive, brazing and soldering processes; Origins of welding defects.

**Powder processing:** Production of metal/ceramic powders, compaction and sintering of metals and ceramic powders.

**Polymers and Composites:** Plastic processing – injection, compression and blow molding, extrusion, calendaring and thermoforming; molding of composites.

**GATE Production and Industrial Engineering Syllabus (PI) – Manufacturing Processes II**

**Machine Tools and Machining:** Basic machine tools like centre lathe, milling machine, and drilling machine – construction and kinematics; machining processes – turning, taper turning, thread cutting, drilling, boring, milling, gear cutting, thread production, grinding; geometry of single point cutting tools, chip formation, cutting forces, specific cutting energy and power requirements, Merchant’s analysis; basis ofselection of machining parameters; tool materials, tool wear and tool life, economics of machining, thermal aspects of machining, cutting fluids, machinability; Jigs and fixtures – principles, applications, and design.

**Non-traditional Manufacturing:** Principles, applications, effect of process parameters on MRR and product quality of non-traditional machining processes – USM, AJM, WJM, AWJM, EDM and Wire cut EDM, LBM, EBM, PAM, CHM, ECM.

**Computer Integrated Manufacturing:** Basic concepts of CAD – geometric modeling, CAM – CNC and robotics – configurations, drives and controls, Group Technology and its applications – CAPP, cellular manufacturing and FMS.

**GATE Production and Industrial Engineering Syllabus (PI) – Quality and Reliability**

**Metrology and Inspection:** Limits, fits, and tolerances, gauge design, interchangeability, selective assembly; linear, angular, and form measurements(straightness, squareness, flatness, roundness, and cylindricity) by

mechanical and optical methods; inspection of screw threads and gears; surface finish measurement by contact and non-contact methods;tolerance analysis in manufacturing and assembly.

**Quality management:** Quality – concept and costs; quality assurance; statistical quality control, acceptance sampling, zero defects, six sigma; total quality management; ISO 9000.

**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 maintenance and replacement.

### Also Check:

**GATE Syllabus****GATE 2019 Exam Dates****GATE 2019 Eligibility Criteria****GATE Exam Pattern****GATE Exam Centers**

**GATE Production and Industrial Engineering Syllabus (PI) – Industrial Engineering **

**Product Design and Development:** Principles of good product design, tolerance design; quality and cost considerations; product life cycle; standardization, simplification, diversification, value engineering and analysis, concurrent engineering;comparison of production alternatives.

**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, merit rating, incentive schemes, and wage administration.

**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.

**GATE Production and Industrial Engineering Syllabus (PI) – Operations research and Operations management **

**Operation Research:** Linear programming – problem formulation, simplex method, duality and sensitivity analysis; transportation and assignment models; network flow models, constrained optimization and Lagrange multipliers; Markovian queuing models; dynamic programming; 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, time-cost trade-off, resource leveling.

**Production control:** Forecasting techniques – causal and time series models, moving average, exponential smoothing, trend and seasonality; aggregate production planning; master production scheduling; MRP and MRP-II; routing, scheduling and priority dispatching; Push and pull production systems, concept of JIT manufacturing system; Logistics, distribution, and supply chain management; Inventory – functions, costs, classifications, deterministic inventory models, quantity discount; perpetual and periodic inventory control systems.

**Project management** – PERT and CPM.

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GATE Production and Industrial Engineering Previous YEar question papers and need to the difficulty level analysis?

GATE Question Papers