Production and Industrial Engineering Syllabus for GATE 2015 Examinations:
Linear Algebra: matrix algebra, systems of linear equations, Eigens and Eigne vectors
Calculus: functions of single variable, limit, continuity and differentiability, mean value theorems, evaluation of definite and improper integrals, Partial derivates, total derivative, maxima and minima, Gradient, divergence and Curl, Vector identifies, directional derivatives, line, surface and volume integrals, stokes, Gauss and Green’s theorems.
Differential Equations: first order equations (linear and non linear) 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 and wave equation 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 methods 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, Eulers 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 spur gears, belt drives, brakes and cluthes.
Thermal Engineering: Fluid mechanics, fluid statics, bermoulli’s equation, flow through pipes, equation of continuity and momentum, thermodynamics, zeroth first and second law of thermodynamics, thermodynamics system and processes, calculation of work and heat of systems and control volumes, air standards cycles, basics of internal combustion engines, and steam turbines, heat transfer fundamentals 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 non ferrous metals and 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, pierceing, bending, deep drawing, coining and embossing, analysis of rolling, forging, extrusion and wire/rod drawing, metal working defects.
Metal joining processes: wielding processes, manual metal arc, MIG, TIG, plasma arc, submerged arc, electroslag, thermit, resistance, forge, friction and explosive welding, other joining processes – ultrasonic, electron beam, laser beam, thermal cutting.
Machining and Machine Tools Operations: basic machine tools, machine processes, turning, drilling, boring, milling, shaping, planning, 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 analysis, selection of machining parameters, tools 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 and ECM.
Tool Engineering: Jigs and fixtures, principles, applications and designs, 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 screw threads and gears, alignment testing of machine tools.
Powder Metallurgy: production of metal powders, compaction and sintering
Polymers and Composites: introduction to polymers and composites, plastic processing, injection and compressing and blow molding, extrusion, calendaring and thermoforming, molding of compoites.
Manufacturing Analysis: sources of errors in manufacturing process capability tolerance analysis in manufacturing and assembly, processing planning, parameter selection and comparison of production alternatives, time and cost analysis, manufacturing technologies – strategies and selection.
Computer integrated manufacturing: basic concept of CAD, CAM,CAPP , cellular manufacturing, NC, CNC, DNC, Robotics, FMS and CIM.
(d) 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.
Engineering Economy and Costing: Elementary cost accounting and methods of depreciation, break even analysis, techniques for evaluation of capital investments, financial statements.
Work System Design: Taylor’s scientific management, Gilbreths’s contributions, productivity – concepts and measurement, method, study, micro motion, study principles of motion economy, work measurement stop watch time study, work sampling, merit rating, 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, causal and time series, models, moving average, exponential smoothing, trend and seasonality, aggregate production, master production scheduling, MRP AND MRP –II, order control and flow control, routing, scheduling and priority dispatch, push and pull production systems, concept of JIT manufacturing system, logistics, distribution and supply chain management, inventory function costs, classification, deterministic and probalistic inventory models, quantity discount, perpetual and periodic inventory control system.
Operation Research: linear programming, problem formulation, simplex method, duality and sensitivity analysis, transportation and assignment models, network flow models, constrained optimization and Lagrange multipliers, simple quening 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, preventive maintenance and replacement, total productive maintaince, concept and applications.
Management Information Systems: Value of information, information storage and retrival systems- database and data structures, knowledge based systems.
Intellectual Property System: Definition of intellectual properties, importance of IPR, TRIPS and its implications, patent, copyrights, industrial design and trademark.