MATHEMATICS

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 (liner 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.

GENERAL ENGINEERING

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.

PRODUCTION ENGINEERING

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, electrosl*g, 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

INDUSTRIAL ENGINEERING

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.