PI - Production And Industrial Engineering
Linear Algebra: Determinants; algebra of matrices; rank; inverse; systems of linear equations; eigenvalues and eigenvectors; quadratic forms.
Calculus: Taylor series, Fourier series, partial derivatives, total derivatives, definite and improper integral, multiple integrals.
Vector calculus: Gradient; divergence and curl; vector identities; line integral and surface integral; Green, Gauss and Stokes theorem.
Differential Equations: Ordinary differential equations; first order equations (linear and nonlinear); higher order liner differential equations with constant coefficients; methods of variations of parameters; Cauchy's or Euler's equations; initial and boundary value problems; Laplace transform, partial differential equation.
Probability and Statistics: Probability spaces; conditional probability; Bayes theorem; standard distributions and their properties; central limit theorem; sampling distribution; estimation; testing of hypotheses; method of least squares; regression analysis; analysis of variance.
Computer Programming and Numerical Methods: Elementary numerical methods in calculus and ordinary differential equations, elements of programming in C.
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.
Applied Mechanics: Engineering mechanics - equivalent force systems, free body concepts, equations of equilibrium, virtual work and minimum potential energy; 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, plane cams and followers; governers and fly wheels; design of elements-failure theories; design of bolted, riveted and welded joints; design of shafts, keys, belt drives, brakes and clutches.
Thermal Engineering: Fluid machines - fluid statics, Bernoulli's equation, flow through pipes, equations of continuity and momentum; Thermodynamics - zeroth, First and Second laws of thermodynamics, thermodynamic system and processes, calculation of work and heat for systems and control volumes; Heat transfer - fundamentals of conduction, convection and radiation.
Metal Casting: Casting processes; patterns-materials; allowances; moulds and cores - materials, making and testing; melting and founding of cast iron, steels and nonferrous metals and alloys; solidification; design of casting, gating and risering; casting defects and inspection.
Metal working: Stress-strain in elastic and plastic deformation; deformation mechanisms; hot and cold working-forging, rolling, extrusion, wire and tube drawing; sheet metal working; analysis of rolling, forging, extrusion and wire /rod drawing; metal working defects, high energy rate forming processes-explosive, magnetic, electro and electrohydraulic.
Metal Joining Processes: Welding processes - gas shielded metal arc, TIG, MIG, submerged arc, electroslag, thermit, resistance, pressure and forge welding; thermal cutting; other joining processes -soldering, brazing, braze welding; welding codes, welding symbols, design of welded joints, defects and inspection; introduction to modern welding processes - friction, ultrasonic, explosive, electron beam, laser and plasma.
Machining and Machine Tool Operations: Machining processes-turning, drilling, boring, milling, shaping, planing, sawing, gear cutting, thread production, broaching, grinding, lapping, honing super finishing; mechanics of cutting- Merchant's analysis, geometry of cutting tools, cutting forces, power requirements; selection of process parameters; tool materials, tool wear and tool life, cutting fluids, machinability; nontraditional machining processes and hybrid processes- EDM, CHM, ECM, USM, LBM, EBM, AJM, PAM AND WJM; economics of machining.
Metrology and Inspection: Limits and fits, 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.
Powder Metallurgy and Processing of Plastics: Production of powders, compaction, sintering; Polymers and composites; injection, compression and blow molding, extrusion, calendaring and thermoforming; molding of composites.
Tool Engineering: Work-holding-location and clamping; principles and methods; design of jigs and fixtures; design of press working tools, forging dies.
Manufacturing Analysis: Sources of errors in manufacturing; process capability; part-print analysis; tolerance analysis in manufacturing and assembly; process planning; parameter selection and comparison of production alternatives; time and cost analysis; Issues in choosing manufacturing technologies and strategies.
Computer Integrated Manufacturing: Basic concepts of CAD, CAM, CAPP, group technology, NC, CNC, DNC, FMS, Robotics and CIM.
Product Design and Development: Principles of good product design, component and tolerance design; efficiency, quality and cost considerations; product life cycle; standardization, simplification, diversification, value analysis, concurrent engineering.
Engineering Economy and Costing: Financial statements; elementary cost accounting, methods of depreciation; break-even analysis, techniques for evaluation of capital investments.
Work System Design: Taylor's scientific management, Gilbreths's contributions; productivity concepts and measurements; method study, micro-motion study, principles of motion economy; human factors engineering, ergonomics; work measurement - time study, PMTS, work sampling; job evaluation, merit rating, wage administration, incentive systems; business process reengineering.
Logistics and Facility Design: Facility location factors, evaluation of alternatives, types of plant layout, evaluation; computer aided layout; assembly line balancing; material handling systems; supply chain management.
Production Planning and Inventory Control: Inventory Function costs, classifications - deterministic and probabilistic models; quantity discount; safety stock; inventory control system; Forecasting techniques -causal and time series models, moving average, exponential smoothing; trend and seasonality; aggregate production planning; master scheduling; bill of materials and material requirement planning; order control and flow control, routing, scheduling and priority dispatching; JIT; Kanban PULL systems; bottleneck scheduling and theory of constraints.
Operation Research: Linear programming - problem formulation, simplex method, duality and sensitivity analysis; transportation; assignment; network flow models, constrained optimization and Lagrange multipliers; simple queuing models; dynamic programming; simulation; PERT and CPM, time-cost trade-off, resource leveling.
Quality Control: Taguchi method; design of experiments; quality costs, statistical quality assurance, process control charts, acceptance sampling, zero defects; quality circles, total quality management.
Reliability and Maintenance: Reliability, availability and maintainability; probabilistic failure and repair times; system reliability; preventive maintenance and replacement, TPM.
Management Information System: Value of information; information storage and retrieval system -database and data structures; interactive systems; knowledge based systems.
Intellectual Property System: Definition of intellectual property, importance of IPR; TRIPS, and its implications, WIPO and Global IP structure, and IPS in India; patent, copyright, industrial design and trademark; meanings, rules and procedures, terms, infringements and remedies.