Vectors: definition of vectors, equality of vectors, addition, subtraction and multiplication of vectors, scalar and vector product of two vectors and their geometrical interpretation, triple products and multiple products and their application to geometry and mechanics, linear dependence and independence of vectors. Matrix: definition of matrix, different types of matrices, algebra of matrices, adjoin and inverse of a matrix, rank and elementary transformations of matrices, normal and canonical forms, solution of linear equations, quadratic forms, matrix polynomials, Eigen values and Eigen vectors. Co-ordinate geometry: transformation of co-ordinates & identification of conics three dimensional co-ordinate system projection direction cosines, equations of planes and lines angle between lines and planes, distance from appoint to a plane, coplanar lines, shortest distance between two given straight lines, standard equations of sphere, ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets, tangent planes, normal lines, condition of tangency.

Waves & oscillations: differential equation of a simple harmonic oscillator, total energy and average energy, combination of simple harmonic oscillations, Lissajous figures, spring- mass system, calculation of time period of torsional pendulum, damped oscillation, determination of damping co-efficient, forced oscillation, resonance, two-body oscillation, reduced mass, differential equation of a progressive wave, power and intensity of wave motion, stationary wave, group velocity and phase velocity, architectural acoustics, reverberation and Sabine’s formula. Geometrical optics: combination of lenses: equivalent lens and equivalent focal length, cardinal points of a lens, power of a lens: defects of images: spherical aberration, astigmatism, coma, distortion, curvature, chromatic aberration, optical instruments, compound microscope, polarizing microscope, resolving power of a microscope, camera and photographic techniques. Waves mechanics: principles of statistical physics, probabilities, classical statistics, quantum statistics, base-Einstein statistics, Fermi-direct statistics and their application, fundamental postulates of wave mechanics, time dependent Schrödinger equation, Schrödinger equation for one-electron atom and its solution. Reflection, transmission and intensity of sound waves, variation of sound intensity with distance, units of sound intensity: decibel and other units, Doppler’s principle. Light: illumination and photometry, luminous intensity, their measurements and units, phosphorescence, fluorescence, discharge lamps, theories of light: interference: Young’s double slit experiment, determination of thickness of a film, diffraction: diffraction due to a single slit, polarization: different methods of polarization, intensity of polarized light. Heat: humidity, vapor pressure, temperature related humidity, transmission of heat: conduction, conductivity, rectilinear flow of heat, determination of thermo-conductivity of good and bad conductors, heat flow through compound walls, convection, free and forced convection, domestic and industrial applications, ventilation, radiation, different laws of radiation, black body radiation, radiation from surfaces, solar radiation

Glass: classification, manufacture and application, paints, varnishes and metallic coating: composition and applications of paints, varnishes and paints, varnishes and metallic coatings, methods used in applying coating on metal surface. Plastic: Fundamental characteristics, classification, raw materials and manufacture of plastics, some typical examples of plastics and their uses, fibers: types of fibers, synthesis and application of synthetic fibers, rubber: Source of natural rubber, chemical treatment of latex, synthesis and properties of synthetic rubber. Lubricants: chemistry of lubricants, sources, properties, refining, chemical treatment and industrial importance of lubricants.

Properties of metals, ceramics and polymers, processing of materials from liquid, solid and paste, choosing materials for products, atomic, molecular, crystalline and amorphous structures for metals, ceramic and polymers, elastic and plastic behavior of materials in service: fracture, ductile-brittle transition, fatigue, creep, oxidation and degradation, corrosion and corrosion protection, materials as mixtures of elements: mixtures nears and far from equilibrium, phase diagrams, phase changes, non-ferrous metals: production and uses, iron and steel production: production and uses: types of cast iron, effects of impurities, plain carbon steel: the iron-iron carbide phase diagram, constituents and structures of plain carbon steels, head treatment of steels, alloy steels: principles and effects of alloying, different alloy steels and their uses.

Direct current circuits: laws and theorems, DC network analysis, alternating current: AC quantities and sinusoidal waveforms, phasors, AC circuit analysis: series and parallel branches-RL, RC, and RLC balanced three-phase circuits. Semiconductor diode: operation, characteristics and applications, introduction to bipolar junction transistors (BJTs), characteristic, common-emitter (CE), common-base (CB), common-collector (CC), and amplifier configurations.

Ordinary differential equation: formation of differential equations, solution of first order differential equations by various methods, solution of general linear equations of second and higher orders with constant coefficients, solution in series by Frobenious method, Bessel function, legendry polynomials and their properties. Vector calculus: differentiation and integration of vectors together with elementary applications, line, surface and volume integrals, gradient of a scalar function, divergence and curt of a vector function, physical significance of gradient, divergence and curt, Gauss’s theorem, Stocke’s theorem, Green’s theorem and their applications. Laplace transform: definition of Laplace transform, elementary transformation sand properties, convolution, solution of differential equation by Laplace transform, evaluation of improper integrals by Laplace transforms.

Single phase transformer, DC motor: principle and applications, three phase induction motor: principle and applications, introduction to synchronous motors and fractional horse power motors. Introduction to operational amplifiers (OP-AMPs) and applications, silicon controlled rectifiers (SCR): operation and characteristics, power control using SCR, transducers: strain, temperature, pressure, speed and torque measurements.

Ceramic: ceramic raw materials, preparation, characterization and processing, principles and mechanisms of ceramic drying and firing processing, principles and mechanisms of ceramic drying and firing process, defects and properties of ceramics: glazing and decoration, conventional and engineering ceramics, newer industrial ceramics, glasses: kinetics of crystallization and phase separation of glass transition, viscosity, chemical durability and thermal, electrical, optical, and mechanical properties of commercial glasses, relation of physical properties to glass structure and composition, tests of glass, polymers: structure and properties of polymers and copolymers, thermoplastics and thermo sets, product design, commercial processing of polymers: properties and testing polymers, polymers and the environment, composites: theory of composites, fabrication structure and uses of different types of composites, properties of composites.

Introduction to number system: binary, octal, hexadecimal, binary arithmetic, basic programming concepts, program development stages: flow charts, pseudo codes, programming constructs: data types, operators, expressions, statement, control statements, single dimensional arrays, functions and program structure: parameter passing conventions, scope rules, recursion, library functions, pointers, strings, multidimensional arrays, user defined data types: structures, unions, enumerations, input and output: standard input and output, formatted input and output, file access, command line parameters.

Basic concepts of mechanics, force in trusses and frames, friction, centroids and moment of inertia, kinetics of particles and rigid bodies. Mechanisms: displacement, velocity and acceleration, static and dynamic balancing of rotating components. under damped and damped free vibration of one and two degrees of freedom, forced vibrations, whirling of shafts and rotors, power transmission by ropes, bells chains, gears and gear trains, study of cams.

Classification of manufacturing processes, casting processes for ferrous and non-ferrous metals, sand, die, centrifugal, slush, plaster mold, loam mold, precision investment casting etc. Casting defects, design of moulds, riser, gate sprue and core, cost analysis. Joining methods: soldering, brazing, welding, conventional welding processes: gas, arc, TIG, MIG, thermit, resistance, friction, electro slag etc. Special welding processes: LASER, electron beam, submerged arc etc. Precision and non-precision surface finishing operation, hot and cold extrusion, press working operations etc. Manufacturing of ceramic and glass products, powder metallurgy.

Basic laws of probability, conditional probability, random variables, measures of central tendency and dispersion, mathematical exception, probability distributions, transformation of variables, moments and moment generating functions, sampling, central limit theorem, chi-square distribution, t-distribution, f-distribution: estimation and confidence interval, statistical hypothesis and testing, goodness-of-fit tests. Correlation and regression analysis, analysis of variance, experimental designs, randomized block design, factorial design, introduction to stochastic problems in engineering.

Introduction to engineering economic decision making common to engineering, cash flow analysis and basic concepts of discounting, cost of capital, required ROR equivalence etc. Business mathematics, investment appraisal criteria for economic decisions, present worth, internal rate of return, social consideration in investment, benefit-cost ratio, etc. Decisions involving taxes, depreciation and inflation and sensitivity analysis.

Stress analysis: statically indeterminate axially loaded member, axially loaded member, thermal and centrifugal stresses, stresses in thin and thick walled cylinders and spheres. Beams: shear force and bending moment diagrams, various types of stresses in beams: flexure formula, deflection of beams: integration and area moment methods, introduction to reinforced concrete beams and slabs. Torsion formula, angle of twist, modulus of rupture, helical springs, combined stresses: principle stress, Mohr’s circle, columns: Euler’s formula, intermediate column formulas, the secant formula, flexure formula of curved beams. Introduction to experiment stress analysis techniques, stain energy, failure theories.

Basic concepts and definitions: sources of energy: conventional and renewable, thermodynamics: fundamental concepts and laws, non-flow and flow processes, thermodynamic cycles, introduction to: steam generating units, internal combustion engines, steam turbines, gas turbines, refrigeration and air conditioning systems. Introduction to heat transfer, modes of heat transfer, study and unsteady state heat conduction and radiation head transfer, convection heat transfer, natural and forced convection, heat exchangers.

Fluid properties, fluid statics, basic hydrostatic equation, manometer, pressure variation in static incompressible and compressible fluids. One dimensional flow of fluid: equation of continuity, Bernoulli’s equation, fluid flow measurements, real fluid flow, frictional losses in pipes and fittings.

Introduction to fundamentals of engineering measurements, study and use of instrumentation, and control systems. Linear measuring system, instruments limits, fits and gauges: ISO system of limits and fits. Precision dimensional measurement of length and angles, roundness profiles and flatness, surface roughness and texture, wear Taylor’s principles on limit gauges, Abbey’s principle, measuring threads, gears, measurement, ultrasonic measurement, measurement by light-wave interference, electrical and electronic measurement, digital recording by LASER beam dimension measuring system, opto-electronic, dimensional gauging, non-destructive testing methods (NDT methods), inspection and kinds of inspection, testing and calibration testing of gauges, dynamic measurement. The characteristics and use of analogue and digital instrumentation applicable to industrial engineering problems, statistical methods for developing system specifications, basic concepts of modern instrumentation. Concepts and importance of control system, control system description, state variable and transfer function representation, sensitivity, concepts of feedback-the feedback control system, electromechanical controls, digital computer control.

Introduction to economics, economics and engineering, different economic systems, fundamental economic problems, basic elements of demand, supply and product market, theory of utility and preferences, consumer’s surplus, theory of production and cost, theory of the firm and market structure , optimization. Introducing macroeconomics, national income accounting, the simple Keynesian analysis of national income, employment and inflation, savings, investment and decision making, fiscal policy and monetary policy, money and interest rate, income and spending. Economics of development and planning.

Metal removing processes: chip formation and tool design, tool geometry, chip breakers. Theory of metal cutting: cutting forces, metal cutting dynamometers, economics of metal cutting, tool life. Different machining processes – turning, drilling, shaping, planning, milling, grinding, reaming, broaching, etc. manufacture of threads and gears, modern machining processes: electro-chemical, electrodischarge, plasma etc., LASER beam, electron beam, ultrasonic and abrasive jet machining. Plastics: plastic product manufacturing processes: compounding, extrusion, injection molding, compression molding, blow molding, vacuum forming and hand layup. Selection of manufacturing processes on the basis of product characteristics and manufacturing economy.

Introduction and scope of operations research, introduction to mathematical modeling: different kinds of modeling and their characteristics. Classical optimization techniques involving single variable and multiple variables with and without constraints. Linear models: simplex algorithm, duality, sensitivity analysis, transportation and assignment algorithm, game theory. Integer programming, dynamic programming, queuing models, introduction to simulation, application: engineering, business and other sectors of economy.

Functional aspects of a product, environment and human factors in design, value engineering, design morphology, standardization, ISO 9001, understanding customer needs, establishing product function specification, development, concept generation and evaluation. Designing of machine parts for strength, deflection, stiffness, fatigue impact etc., designing of shaft, key and power screw, coupling, clutches and brakes.

Issues and importance of handling of materials: analysis of material handling problems, classification of materials, unit load, bulk loads, study of material handling systems and their efficiency, selection and classification of material conveying equipment. Product handling: design system configuration conforming to various kinds of product features and layout characteristics. Designing concepts of common handling and transfer equipments, different types of conveyors such as belt, screw, chain, flight, bucket elevators, pneumatic hydraulic cranes and forklifts, design of ware house facilities appropriate for relevant handling and transfer device, automatic packaging devices: testing procedure of packages: vibration test, drop test, performance limits and testing machines, algorithms to design and analyze discrete parts material storage and flow system such as automated storage/retrieval system (ASRS), order picking, automated guided vehicle system (AGVS). Maintenance management: concept of maintenance and value of maintenance management, maintenance organization and department structure (resource and administration), types of maintenance, fixed time replacement, condition based maintenance, preventive and corrective maintenance, replacement strategies, documentation and computer control in maintenance management, Implementation of maintenance planning, plant asset management, human factors in motivation skills in a maintenance environment.

Integrated purchase-production-marketing system, production systems, product/service life cycle, forecasting models, bill of materials, material and inventory management: inventory models, ABC analysis, coding and standardization, aggregate planning, MPS, MRP, capacity planning, operating scheduling. Work study: MRP II, optimized production technology, group technology, TQC and JIT.

Emergence of modern concept of quality and its management, quality redefined, identification of quality characteristics: quality of design, conformance and performance, Deming’s principle on quality and productivity, quality costs and their interpretation. Control and measurement concept of quality: elementary SPC toolsPDCA cycle, Pareto’s law, cause and effect (fishbone), control charts-attribute control charts and variable control charts, measurement of variation and process capability analysis, design of experiments- identification of key variables for major variations. Acceptance sampling plans: OC curves, single and double sampling plants, sequential and rectifying inspection plans AOQ. Quality and reliability: failure and survival probability, hazard rate, component and system reliability and its prediction, failure mode and fault tree analysis, reliability testing. Quality standards and their compliance, ISO 9000 and ISO 14000, foundations of quality revised – total quality management (TQM), application of TQM philosophy, frontiers of quality.

Errors and approximations in numerical computations, rules of polynomials and transcendental equations, multiple roots, solution of linear algebraic equations: Gauss elimination, Guass-Jordan elimination, Choleski’s decomposition, Guass-Siedel iteration, Eigen-value problems, interpolation and extrapolation techniques, Curve fitting, numerical differentiation and integration, solution of ordinary differential equations: Taylor’s series method, Euler’s method, Milne’s method, Runge-Kutta methods, numerical optimization techniques.

Project: identification, planning, appraisal, project implementation, project organization, budgeting, scheduling, using bar diagram, CPM, PERT, resource allocation, information system and project control, project termination, project organizations, matrix organization, project manager, contract negotiation and conflict resolution, case study, planning and evaluation of an investment project. Environmental impact assessment of projects. Source of degradation of earth’s ecosystem, technological development, greenhouse gases, ozone layer depletion, toxic gases and industrial wastes, Montreal protocol, remedies Noxious Chinasun refrigerant technologies and use of catalysts, environmental economics and accounting system.

Man-machine-material interfaces in manufacturing: physical and cognitive aspects, comparative advantages of man and machine, physical work and human muscular effort, bio-mechanics and bioengineering. Anthropometry, work place design and work place layout, human performance under environment temperature, illumination, vibration, noise, pollution radiation static and dynamic conditions. Evolution of modern safety concepts, industrial hazard, safety and risk management, productivity, worker health and safety, proactive management techniques for safety management, safety standards and regulations for engineering works, case studies.

Introduction to supply chain management: supply chain, systems approach to management, materials management, major areas of supply chain management, forward and backward linkage. Materials planning: role of forecasting, market demand estimation. Procurement management: procurement cycle, materials sourcing, vendor evaluation and selection, make-buy decision, multi-criteria decision, making in supplier selection, negotiation, transportation, logistics, incoming materials inspection. Inventory systems management: different types of product structures for materials planning, management of raw materials, work-inprocess (WIP), finished good and spare parts inventories, lead time management, cycle time reduction. Stores management: stores layout planning, addressing systems, codification systems, traceability, physical verification and counting, surplus and waste management. Physical distribution: network planning, packaging, materials handling, carrier systems, distribution inventory, legal aspects and common rules of transportation.

Reverse engineering, alternative solutions and their evaluation, designing for assembly and disassembly, reliability, product life cycle, cost analysis, use of standard parts, application of CAD software. Prototype design, designing of engineering systems involving shafts, bearings, linkages, couplings, clutches brakes, gears, power transmission etc.

Role of computers in manufacturing, computer aided process planning, hardware and software components of computer automations: PLC, robots and software: automated material handling and storage systems, computer control of manufacturing systems, flexible manufacturing system, factory of the future.

Characteristics of machine tools, recent development in the design of machine tools, drive system of machine tools, design of mechanical drive, speed gear boxes, feed gear boxes, infinitely variable drives, PIV and other mechanical step less drives, hydraulic drives, electrical drives, bearings, spindles, slide ways of machine tools, machine tool structure. Location principles and locators, clamps. Detailed case study of engine, turret and automatic lathes, drilling machines, shaper machines, planer machines, milling machines, grinding machines, gear shaping and gear hobbing machines, forging machines, dynamics of machine tools, installation and acceptance tests of machine tools, automatic transfer lines.

CAD: Fundamental concepts, application, hardware and software, types of CAD systems, common 2D CAD software features, basic 3D CAD features. CAM: fundamental concepts, trend of development of NC, principles of NC, types of NC systems and machines, NC manual part programming, CNC part programming using APT language, interfacing CAM software with CNC machines, implementing the CAD/CAM system principles of FMS. Robotics: industrial Robots, robot anatomy (structure) and robot configuration, robot drive and control systems, robot sensors, robot applications.

Business and management process, managerial function of business and then relative importance, managerial skills and development. Emergence of management thought and the patterns of management analysis scientific management and Taylor’s Principle, modern operational-management theory, emergence of the behavioral sciences, recent contributors to management thought. Management and society: the external environment, social responsibility and ethics. Organization and management: system approach to organization, organization theory and organizing practices, basics of organizing. Personnel and human resource management in business, human factors and motivation, leadership, group decision making and communication, job gradation, process of performance appraisal and reward systems. Managing information for decisions and management information systems. Management in operations and business: systems approach to operation management and business, managing the marketing of goods and service, total marketing activity, marketing mix, some selected topics of marketing such as industrial and consumer selling, advertising, new product strategy and decisions. Management in the international selling, management revisited and challenges for management in the twenty first century.

Marketing concepts: market orientation, relationship marketing, market segmentation and measurement, buyer behavior, marketing planning and budgeting. Concept of marketing mix: product, price, place and promotion, Strategic and tactical decisions, new product planning processes, global marketing, case studies.