GATE 2015: Production and Industrial Engineering Syllabus:
Linear Algebra: Matrix algebra; Systems of linear equations; Eigen values and eigen vectors
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; solutions of one dimensional heat wave equations and Laplace equation.
Complex variables: Analytic functions; Cauchy’s integral theorem; Taylor and Laurent series
Probability and Statistics: Definitions of probability and sampling theorems; Conditional probability; Mean; Median, Mode and standard deviation; Random variables; Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations integration by trapezoidal and Simpson’s rule, single and multi-step method for differential equations
Engineering Materials: Structure and properties of engineering materials and their applications; effect of strain; strain rate and temperature on mechanical properties of metals and alloys; heat treatment of metals and alloys; its influence on mechanical properties.
Applied Mechanics: Engineering mechanics –equivalent force systems; free body concepts; equations of equilibrium; strength of materials-stress; strain and their relationship; Mohr’s circle; deflection of beams; bending and shear stress; Euler’s theory of columns
Theory of Machines and Design: Analysis of planar mechanisms; cams and followers; governers and fly wheels; design of elements- failure theories; design of bolted; riveted and welded joints; design of shafts; keys; spurs; gears; belt drives; brakes and clutches
Thermal Engineering: Fluid Mechanics- fluid statics; Bernoulli’s equation; flow through pipes; equations of continuity and momentum; 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; basics of internal combustion engines and steam turbines; heat transfer- fundamental of conduction, convection and radiation; heat exchanges
Metal Casting: Casting processes- types and applications; patterns – types and materials; allowances; moulds and cores- materials, making and testing; casting techniques of cast iron; steel and nonferrous metals alloys; solidification; design of casting; gating and risering; casting inspection; defects and remedies
Metal Forming: Stress-strain relations in elastic and plastic deformation; concept of flow stress; deformation mechanisms; hot and cold working- forging, rolling, extrusion, wire and tube drawing; sheet metal working processes such as blanking, piercing, bending, deep drawing, coining and embossing; analysis of rolling, forging, extrusion and wire/rod drawing; metal working defects.
Metal Joining Processes: Welding processes- manual metal arc, MIG, TIG, plasma arc; submerged arc; electroslag; thermit resistance, forge, friction, and explosive welding; other joining processes – soldering, brazing, braze welding; inspection of welded joints; defects and remedies; introduction to advanced welding processes; ultrasonic; electron beam; laser beam; thermal cutting
Machining and Machine Tool Operations: Basic machine tools; machine processes-turning; drilling; boring; milling, shaping, gear cutting; thread production; broaching; grinding; lapping; honing; super finishing; mechanics of machining- geometry of cutting tools, chip formation; cutting forces and power requirements; Merchant’s analysis; selection of machining parameters; tool materials; tool wear and tool life; economics of machining; thermal aspects of machining; cutting fluids; machinability; principles and applications of nontraditional machining processes – USM, AJM, WJM, EDM, and Wire cut EDM, LBM, EBM, PAM, CHM, ECM.
Tool Engineering: Jigs and fixtures – principles; applications and design; press tools – configuration; design of die and punch; principles of forging die design
Metrology and Inspection: Limits; fits and tolerances; interchangeability; selective assembly; linear and angular measurements by mechanical and optical methods; comparators; design of limit gauges; interferometry; measurement of straightness, flatness, roundness, squareness and symmetry; surface finish measurement; inspection of crew threads and gears; alignment testing of machine tools
Powder Metallurgy: Production of metal powders; compaction and sintering
Polymer Composites: Introduction to polymers and composites; plastic processing- injection; compression and blow molding; extrusion; calendaring and thermoforming; moulding of composites.
Manufacturing Analysis: Sources of errors in manufacturing; process capability; tolerance analysis in manufacturing and assembly; process planning; parameter selection and comparison of production alternative; time and cost analysis; manufacturing technologies- strategies and selection
Computer Integrated Manufacturing: Basics concepts of CAD, CAM, CAPP, Cellular manufacturing; NC, CNC, DNC, Robotics, FMS and CIM
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
Engineering Economy and Costing: Elementary cost accounting and method of depreciation; break even analysis; techniques for evaluation of capital investments; financial statements
Work System Design: Taylor’s scientific management; Gillbreth’s contributions; productivity- concepts and measurement; methodstudy; micro-study; principles of motion economy; work measurement – stop watch time study; work sampling; standard data; PMTS; ergonomis; job evaluation; merit ranking; incentive schemes and wage administration; business process reengineering
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.
Production Planning and Inventory Control: Forecasting techniques- casual and time series models; moving average; exponential smoothing; trend and seasonality; aggregate production planning; master production scheduling; MRP and MPR-II; order control and flow control; routing; scheduling and priority dispatching; push and pull production systems; concept of JIT manufacturing systems; logistics distributions and supply chain management; Inventory – functions; costs; classifications; deterministic and probabilistic inventory models; quantity discount; perpetual and periodic inventory control systems.
Operations Research: Linear programming – problem formulation; simplex method; duality and sensitivity analysis; transportation and assignment models; network flow models; constrained optimization and Lagrange multipliers; simple queuing models; dynamic programming; simulation – manufacturing applications; PERT and CPM, time- cost trade off; resource leveling
Quality Management: Quality- concept and costs, quality circles; quality assurance; statistical quality control; acceptance sampling; zero defects; six sigma; total quality management; ISO 9000; design of experiments – Taguchi method
Reliability and Maintenance: Reliability, availability and maintainability; distribution of failure and repair times; determination of MTBF and MTTR, reliability models; system reliability.