GATE

GATE BROCHURE EXTRACT

1.1 GATE - GENERAL INFORMATION

1.2 ELIGIBILITY

1.3 IMPORTANT DATES - GATE 2002

1.4 SYLLABUS

1. AG - AGRICULTRAL ENGINEERING

2. AR - ARCHITECTURE

3. CE - CIVIL ENGINEERING

4. CH - CHEMICAL ENGINEERING

5. CS - COMPUTER SCIENCE AND ENGINEERING

6. CY - CHEMISTRY

7. EC - ELECTRONICS AND COMMUNICATION ENGINEERING

8. EE - ELECTRICAL ENGINEERING

9. GG- GEOLOGY AND GEOPHYSICS

10. IN - INSTRUMENTATION ENGINEERING

11. MA - MATHEMATICS

12. ME- MECHANICAL ENGINEERING

13. MN - MINING ENGINEERING

14. MT - METALLURGICAL ENGINEERING

15. PH - PHYSICS

16. PI - PRODUCTION ENGINEERING

17. PY - PHARMACEUTICAL SCIENCES

18. TF - TEXTILE ENGINEERING AND FIBRE SCIENCE

19. XE - ENGINEERING SCIENCES

[A] ENGINEERING MATHEMATICS (Compulsory)

[B] COMPUTATIONAL SCIENCE

[C] ELECTRICAL SCIENCES

[D] FLUID MECHANICS

[E] MATERIALS SCIENCE

[F] SOLID MECHANICS

[G] STATISTICS

[H] THERMODYNAMICS

20. XL - LIFE SCIENCES

[I] CHEMISTRY (Compulsory)

[J] BIO-CHEMISTRY

[K] BIO-TECHNOLOGY

[L] BOTANY

[M] MICROBIOLOGY

[N] ZOOLOGY

GATE - GENERAL INFORMATION

1. Admission to Postgraduate Courses, with MHRD Scholarship/Assistantship, in Engineering/ Technology/ Architecture/ Pharmacy at Engineering Colleges/Institutes in the Country will be open only to those who qualify through GATE.

Some Engineering Colleges/Institutes specify GATE as mandatory qualification even for admission of students to Postgraduate Programmes.

The candidates are required to find out the procedures of final selection and award of Scholarship/Assistantship from the INSTITUTIONS to which they seek admission.top

1.2 The following categories of candidates are eligible to appear at GATE–2002

a. Bachelor’s degree holders in Engineering/Technology/Architecture/Pharmacy and those who are in the final or pre-final year of such programmes.

2. Master’s degree holders in any branch of Science/ Mathematics/ Statistics or equivalent and those who are in the final year or pre-final year of such programmes. However, if the degree is in Master of Computer Applications, the candidate should have had courses in Mathematics at the Bachelor’s or Master’s level.
3. Candidates in the second or higher year of the Four-year Integrated Master’s degree programme (Post- B.Sc) in Engineering/Technology or in the third or higher year of Five-year Integrated Master’s degree programme in Engineering/Technology.
4. Candidates with qualifications obtained through examination conducted by professional societies recognised by UPSC/ AICTE as equivalent to B. E./ B.Tech. Those who have completed section A or equivalent of such professional courses are also eligible.top

1.3 IMPORTANT DATES FOR GATE 2002

S. No.	EVENT	DAY	DATE
01	Display of Posters by Colleges, Banks etc.	Thu	30.08.2001
02	Advertisement in Newspapers	Sun	09.09.2001
03	GATE 2001 Brochure updating GATE 2002 Brochure	Fri	28.09.2001
04	Commencement of sale of Information Brochure and Application Forms	Mon	01.10.2001
05	a) Last date of issue of Information Brochure and Application Forms i) By Post ii) At Bank Counters iii) At GATE Offices b) Last date for receipt of completed application forms in respective Institutes/GATE Offices	Tue Tue Fri Fri	30.10.2001 06.11.2001 09.11.2001 09.11.2001
06	JMET - 2001 Examination (1030 hours to 1230 hours)	Sun	16.12.2001
07	Last data for despatch of GATE 2002 Admit Cards by the respective Institutes	Sat	12.01.2002
08	Announcement of JMET-2001 Results	Sat	12.01.2002
09	a) CEED 2002 Examination (9.30 a.m. to 12.30 p.m.) b) GATE 2002 Examination (9.30 a.m. to 12.30 p.m.)	Sun Sun	03.02.2002 10.02.2002
10	Announcement of Results - GATE 2002	Sun	31.03.2002

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1. AG-AGRICULTRAL ENGINEERING

Farm Machinery and Power: Farm machinery and implements-types, field capacities and costs; mechanical power transmission and power take-off drives; hydraulic power transmission and implement controls; soil tillage and dynamics; design, constructional details and principles of operations of different types of hand tools, primary and secondary tillage implements, seeders and planters, fertilizer applicators, sprayers and dusters, harvesters, threshers, combines, transport equipment; hitch systems and hitching of tillage implements, stability and equilibrium of soil working elements; testing of agricultural machinery and performance indices.

Farm engines, tractors and power - tillers their selection, operation, adjustment, maintenance and repair, performance, design considerations and economics of use; non-conventional source of energy; power and power measurement; thermodynamic principles and I.C. engine cycles fuel and combustion; fuel lubrication, cooling and electrical system of IC engines; mechanics of farm tractor chassis; simple hydraulic circuits; power transmission systems; traction and traction devices; operator’s comfort, convenience and safety, tractor tests.

Soil and Water Conservation Engineering: Origin of soils, soil classifications, fundamental definitions and relationships; index properties of soils; permeability and seepage analysis; shear strength, compaction, consolidation and earth pressure theories and analysis.

Hydrologic Cycle; precipitation and its forms, abstraction from precipitation; runoff; hydrographs; flood routing; Principles and mechanics of erosion; measurement and estimation of soil loss; biological and engineering measures to control erosion; diversion ditches; vegetative waterways; outlets and their design; terraces, gully control structures-drop, drop-in-let and chute spillways-force analysis; stability and designs; farm ponds; earth dams; river training; principles of watershed management.

Well hydraulics; design of pipe lines and prismatic and silt loaded channels; evapotranspiration models; water requirements of crops; irrigation scheduling; irrigation efficiencies; irrigation methods; design of irrigation systems; pumps-pumps characteristics and selection of pumps; drainage coefficient; surface and subsurface drainage systems-mole drains; interceptor drains and outlets; quality of water; leaching requirements and salinity control.

Farmstead planning; functional requirements of farm buildings; dairy and poultry buildings, estimation of quantity and analysis.

Agricultural Processing and Food Engineering: Steady state heat transfer in conduction, convection and radiation; unsteady state heat transfer in simple geometry; design of double pipe, tabular and plate heat exchangers; diffusive and convective mass transfer; simultaneous heat and mass transfer in agricultural processing operations.

Material and energy balances involving solids, liquids and gases in food processing system, energy requirements in size reduction of liquid and solid foods; particle size analysis for comminuted solids; size separation by screening; centrifugal separation of solids, liquids and gases; fluidization of granular solids; Kinetics of microbial death; pasteurization and sterilization processes for liquid foods; shelf life extension of foods through temperature lowering and freezing; Properties of air-vapour mixture; water activity in foods; conditioning and drying of food grains; concentration and drying of food grains; concentration and dehydration of foods-evaporators and tray, drum and spray dryers.

Processes and machines for processing of cereals, pulses, oilseeds, horticultural and plantation crops. Lateral pressures in grain silo; types of grain silo and their design. Grain handling equipment operation, design and maintenance.top

2. AR - ARCHITECTURE

City Planning: Historical development of city planning, principles of city planning, new towns, survey methods, site planning, and planning regulations and building bye-laws.

Housing: Concept of shelter, housing design and policies, role of government agencies, finance and management.

Landscape Design: Principles of landscape design, landscape elements, materials, planning design.

Computer Aided Design: Application of computers in architecture and planning, understanding elements of hardware and software; programming languages – Fortran, Basic.

Environmental and Building Science: Elements of environmental science, ecological principles concerning environment, role of micro-climate in design, climatic control through design elements, elements of solar architecture, principles of lighting and illumination, basic principles of architectural acoustics, noise pollution and control.

Visual and Urban Design: Principles of visual composition, proportion, scale, rhythm, symmetry, asymmetry, harmony, balance of form and colour, sense of place and space, division of space, focal point, vista, visual survey.

History of Architecture: Indian - Indus valley, Vedic, Buddhist, Indo-Aryan, Dravidian and Mughal periods; European - Egyptian, Greek, Roman, medieval, and renaissance periods.

Development of Contemporary Architecture: Development and impact on society since industrial revolution, influence of modern art on architecture, works of national and international architects, post-modernism in architecture.

Building Services: Civil – water supply, sewerage and drainage systems; sanitary fittings and fixtures; electrical and mechanical - principles of electrification of buildings; elevators, their standards and uses, air-conditioning systems.

Construction Systems and Management: Building systems and prefabrication of building elements, principles of jointing, and principles of modular coordination.

Structural Systems: Behavioral characteristics of traditional building materials like mud, timber, bamboo, etc.; principles of strength of materials; design of structural elements in wood, steel and RCC; elastic and limit state design, complex structural systems, and principles of prestressing.

Planning Theory: Planning process, comprehensive planning, land use and density in residential and nonresidential areas, central place theory, rank-size rule, settlement pattern, land utilisation, and district level planning.

Techniques of Planning: Application of remote sensing techniques in urban and regional planning, planning surveys, methods of preparation of urban and regional development plans, structure plans, strategy plans etc.; and site planning principles and design.

Traffic and Transportation Planning: Principles of traffic engineering and transportation planning, method of conducting traffic and parking surveys, design of roads, intersections and parking areas; hierarchy of roads and levels of services, traffic and transport management in urban areas, traffic safety and traffic laws.

Urban Services and Networks: Design principles of distribution and supply systems for water supply, sewerage, drainage, solid waste disposal and power supply; health and demography related aspects of standards at town, neighborhood and site levels.

Urban Administration and Management: Concept and meaning of planning laws, development control and zoning regulations, laws relating to land acquisition, land ceilings, regional and urban plan preparations; local taxation, revenue resources, and fiscal management.top

3. CE – CIVIL ENGINEERING

ENGINEERING MATHEMATICS

Linear Algebra: Determinants, algebra of matrices, systems of linear equations, eigen values and eigen vectors.

Calculus: Functions of single variable: Limit, continuity and differentiability, mean-value theorems, theorems of integral calculus; evaluation of definite and improper integrals. Functions of two variables: limit, continuity, partial derivatives, total derivative and directional derivative, maxima and minima, multiple integrals and their applications, sequences and series, test for convergence, Fourier series.

Ordinary Differential Equations: First order equations (linear and nonlinear), higher order linear differential equations with constant coefficients, method of variation of parameters, Cauchy’s or Euler’s equations, initial and boundary value problems, Laplace transform.

STRUCTURAL ENGINEERING

Structural Analysis: Statically determinate structure: displacements by energy principles; static and kinematic indeterminacies; analysis of indeterminate structures by flexibility and stiffness methods; slope-deflection and moment-distribution methods; influence lines for determinate and indeterminate structures; approximate analysis of multistory frames by cantilever and portal frame methods; trusses; two and three hinged arches; analysis of trusses and frames by Matrix method; concepts of plastic analysis of beams and frames.

Concrete Structures: Working stress and limit state methods of design; design of reinforced concrete beams, slabs, columns, staircase, building frame, water tanks, bridges, earth retaining structures and foundations; detailing of reinforcement; analysis and design of pre-stressed concrete beams.

Steel Structures: Analysis and design of tension and compression members, beams and beam-columns, column bases; connections - simple & eccentric, beam and connections, plate and gantry girders and trusses; plastic design of beams and frames.

GEOTECHNICAL ENGINEERING

Soil Mechanics: Origin of soils; soil classification; three-phase system, fundamental definitions, relationship and inter-relationships; permeability and seepage; effective stress principle: consolidation, compaction; shear strength.

Foundation Engineering: Sub-surface investigation - scope, drilling bore holes, sampling, penetrometer tests, plate load test; earth pressure theories, effect of water table, layered soils; stability of slopes - infinite slopes, finite slopes; foundation types - foundation design requirements; shallow foundations; bearing capacity, effect of shape, water table and other factors, stress distribution, settlement analysis in sands and clays; deep foundations - pile types, dynamic and static formulae, load capacity of piles in sands and clays.

WATER RESOURCES ENGINEERING

Fluid Mechanics and Hydraulics: Hydrostatics applications of Bernoulli equation, Laminar and turbulent flow in pipes, pipe networks; concept of boundary layer and its growth; uniform flow, critical flow and gradually varied flow in channels, specific energy concept, hydraulic jump; forces on immersed bodies; flow measurement in channels; tanks and pipes; dimensional analysis and modelling; velocity triangles and specific speed of pumps and turbines. Applications of Momentum equation, Potential flow, Kinematics of flow.

Hydrology: Hydrologic cycle; Rainfall; evaporation infiltration, unit hydrographs, flood estimation, reservoir and channel routing, well hydraulics.

Irrigation: Duty, delta, Estimation of evapo-transpiration; crop water requirements; design of lined and unlined canals; waterways; headworks, gravity dams and Ogee spillways. Designs of weirs on permeable foundation, Irrigation methods.

ENVIRONMENTAL ENGINEERING

Water Requirements; quality and standards, basic unit processes and operations for water treatment, distribution of water. Sewage and sewerage treatment: Quantity and characteristic of waste water sewerage; primary and secondary treatment of waste water; sludge disposal; effluent discharge standards.

TRANSPORTATION ENGINEERING

Highway planning; Geometric design of Highways; Testing and specifications of paving materials; Design of flexible and rigid pavements.top

4. CH – CHEMICAL ENGINEERING

Engineering Mathematics: Determinants & Matrices, system of linear equations, eigenvalues and eigenvectors. Calculus - mean value theorems of integral calculus, partial, total and directional derivatives, maxima and minima.

Sequences and Series, convergence, Fourier series.

Vector calculus - gradient, divergence and curl, line and surface integrals, Green, Gauss and Stokes’ theorems.

Ordinary differential equations - first order equations linear and nonlinear equations, higher order linear equations with constant coefficients, initial and boundary value problems, Laplace transforms.

Complex analysis - complex numbers, polar form of complex numbers, Powers and roots, limit, derivative, analytical functions.

Probability and Statistics - concept of probability, means and variance, linear regression analysis.

Process Calculations and Thermodynamics: Laws of conservation of mass and energy; use of tie components; recycle, bypass and purge calculations; degrees of freedom.

First and Second laws of thermodynamics and their applications; equations of state and thermodynamic properties of real systems; phase equilibria; fugacity, excess properties and correlations of activity coefficients; chemical reaction equilibria.

Fluid Mechanics and Mechanical Operations: Fluid statics, Newtonian and non-Newtonian fluids, Macroscopic energy balance, Bernoulli equation, dimensional analysis, continuity equation, flow through pipeline systems, flow meters, pumps and compressors, packed and fluidized beds, elementary boundary layer theory, size reduction and size separation; free and hindered settling; centrifuges and cyclones; thickening and classification, filtration; mixing and agitation; conveying of solids.

Heat Transfer: Conduction, convection and radiation, heat transfer coefficients, steady and unsteady heat conduction, Boiling, condensation and evaporation; types of heat exchangers and evaporators and their design.

Mass Transfer: Fick’s law, mass transfer coefficients, , penetration and surface renewal theories; momentum, heat and mass transfer analogies; stagewise and continuous contacting and stage efficiencies; design and operation of equipment for distillation, absorption, leaching, liquid-liquid extraction, crystalilization, drying, humidification, dehumidification and adsorption.

Chemical Reaction Engineering: Theories of reaction rates; Kinetics of homogeneous reactions, interpretation of kinetic data, single and multiple reactions in ideal reactors, non-ideal reactors; non-isothermal reactors; kinetics of heterogeneous catalytic reactions; diffusion effects in catalysis.

Instrumentation and Process Control: Measurement of process variables; dynamics of simple systems such as CSTRs, heat exchangers etc.; transfer functions and responses of simple systems, process reaction curve, controller modes (P, PI, and PID); control valves; analysis of closed loop systems including stability, frequency response (including Bode plots) and controller tuning.

Plant Design and Economics: Design of chemical engineering equipment; principles of process economics and cost estimation.

Chemical Technology: Inorganic chemical industries; sulfuric acid, NaOH, fertilizers; natural products industries (Pulp and Paper, Sugar, Oil, and Fats); petroleum refining and petrochemicals; polymerization industries: polyethylene, polypropylene and synthetic fibres.top

5. CS – COMPUTER SCIENCE AND ENGINEERING

Basic Mathematics: Elements of probability, matrix algebra, numerical methods: interpolation, root finding, differentiation and integration. Discrete Mathematics: Sets, relations, functions, mathematical induction, counting, groups, graphs, partial orders, lattices and Boolean algebra, propositional logic.

Theory of Computation: Regular and context free languages, finite state machines and pushdown automata, Turing machines and undecidability.

Computer Hardware: Logic function, minimization techniques, design of combinational and sequential circuits using gates and flip-flops, design with integrated circuits including ROM and multiplexers, microprocessor architecture: programming, interfacing with memory and I/O devices (modes of data transfer and their implementation, serial and parallel communication interfaces). Detailed knowledge of 8085 microprocessor will be assumed.

Computer Organization: Number representation and arithmetic, functional organization, machine instructions and addressing modes, ALU, hardwired and microprogrammed control, instruction pipelining, memory organization, input/output.

Programming and Data Structures : Structured programming with Pascal/C including recursion; arrays, stacks, strings, queues, lists, trees, sets and graphs; algorithm for tree and graphs traversals, connected components, spanning trees, shortest paths; hashing, sorting and searching; algorithm design and analysis techniques, big ‘oh’ notation, solution of simple recurrence relations.

Language Processors: Assemblers, loaders, linkers, macroprocessors, text editors, programming languages; scope rules and parameter passing mechanisms; compilers: lexical analysis, parsing, syntax directed translation, run time environment, machine code generation; interpreters.

Operating Systems: Batch, multi-programming and time-sharing systems; processor, memory, device and file management, virtual memory, process scheduling, interprocess communication, process synchronization and concurrency, deadlocks, protection.

Database Systems: File organization techniques: indexing, B-trees, B-plus trees; relational and network data models; normal forms; query languages: SQL.top

6. CY - CHEMISTRY

PHYSICAL CHEMISTRY

Structure: Quantum theory - principles and techniques: applications to particle in a box, harmonic oscillator, rigid rotor and hydrogen atom; valence bond and molecular orbital theories the Huckel approximation, symmetry, point groups; rotational, vibrational, electronic, NMR and ESR spectroscopy.

Equilibrium: Chemical equilibrium, First law; thermo chemistry; second law and entropy; third law and absolute entropies; free energy; ideal and non ideal solutions; phase transformation, phase rule - one, two,

and three component systems; colligative properties; activity and activity coefficients; thermodynamics of electrochemical cells; standard electrode potentials; applications - corrosion and energy conversion.

Kinetics: Kinetic theory of gases; rates of chemical reactions; theories of reaction rates collision and transition state theory; temperature dependence of chemical reactions; consecutive reactions; steady state approximation, kinetics of photochemical reaction, kinetics of free radical polymerization, homogeneous and heterogeneous catalysis.

INORGANIC CHEMISTRY

Non-Transition Elements: General characteristics, structure and reactions of simple and industrially important compounds, boranes, silicates, diamond and graphite, oxides and oxoacids of N,P,S and halogens; borazines, phosphazenes, xenon compounds. Structure of simple inorganic solids, band theory, metals and semiconductors.

Transition Elements: General characteristics of d and f block elements; coordination chemistry: structure, stability and theories of metal-ligand bonding (CFT and LFT); electronics spectra and magnetism of octahedral and tetrahedral complexes, metal carbonyls, metallocenes, use of organometallic compounds as catalysts, reactions mechanism of coordination complexes; role of metals in biological systems.

Instrumental methods of analysis: Spectrophotometric, chromatographic and electro analytical methods.

ORGANIC CHEMISTRY

Reactions, synthesis and mechanism involving the following: Alkenes, alkynes, arenes, alcohols, phenols, aldehydes and ketones; carboxylic acids and their derivatives, halides, nitro compounds and amines; stereo chemical and conformational effect on their reactivity and specificity.

Photochemsitry: Basic principles, photochemistry of olefines, carbonyl compounds; arenes, photo-oxidation and reduction; pericyclic reactions: cycloadditions, electrocyclic reactions and sigma tropic reactions; Woodward Hoffman rules. Molecular rearrangements involving electron deficient atoms.

Heterocycles : Structural properties and reactions of furan pyrrole, thiophene, pyridine.

Biomolecules: Structures, properties and reactions of mono and di - saccharides. Physicochemical properties of amino acids, structural features of proteins.

Spectroscopy: Principles and application of UV-visible, IR, NMR and mass spectroscopy in the determination of structures of organic compounds.top

7. EC – ELECTRONICS AND COMMUNICATION ENGINEERING

Networks: Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems: superposition, Thevenin and Norton’s, Maximum Power Transfer, Wye-Delta Transformation. Steady state sinusoidal analysis using phasors. Fourier series. Linear constant coefficient differential and difference equations; time domain analysis of simple RLC circuits. Laplace and Z transforms: frequency domain analysis of RLC circuits. Convolution. 2-port network parameters: driving point and transfer functions. State equations for networks.

Analog Circuits: Characteristics and equivalent circuits (large-and small-signal) of diodes, BJTs, JFETs and MOSFETs. Simple diode circuits: clipping, clamping, rectifier. Biasing and bias stability of transistor and FET amplifiers. Amplifiers: single-and multi-stage, differential, operational, feedback and power. Analysis of amplifiers; frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations. Function generators and wave-shaping circuits. Power supplies.

Digital Circuits: Boolean algebra; minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinational circuits: arithmetic circuits, code converters, multiplexers and decoders. Sequential circuits: latches and flip-flops, counters and shift-registers. Comparators, timers, multivibrators. Sample and hold circuits, ADCs and DACs. Semiconductor memories. Microprocessor (8085): architecture, programming, memory and I/O interfacing.

Control Systems: Basic control system components; block diagrammatic description, reduction of block diagrams. Properties of systems: linearity, time-invariance, stability, causality. Open loop and closed loop (feedback) systems. Special properties of linear time-invariant (LTI) systems-transfer function, impulse response, poles, zeros, their significance, and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI system and frequency response. Tools and techniques for LTI Control System Analysis: Root, loci, Routh-Hurwitz criterion, Bode and Nyquist plots; Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative (PID) control. State variable representation and solution of state equation for LTI systems.

Communication Systems: Fourier analysis of signals - amplitude, phase and power spectrum, auto-correlation and cross-correlation and their Fourier transforms. Signal transmission through linear time-invariant (LTI) systems, impulse response and frequency response, group delay and phase delay. Analog modulation systems - amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers, elements of hardware realizations of analog communication systems. Basic sampling theorems. Pulse code modulation (PCM), differential pulse code modulation (DPCM), delta modulation (DM). Digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK). Multiplexing – time division and frequency division. Additive Gaussian noise; characterization using correlation, probability density function (PDF), power spectral density (PSD). Signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions.

Electromagnetics: Elements of vector calculus: gradient, divergence and curl; Gauss’ and Stokes’ theorems, Maxwell’s equations: differential and integral forms. Wave equation. Poynting vector. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; Skin depth. Transmission lines: Characteristic impedance; impedance transformation; Smith chart; Impedance matching; Pulse excitation. Waveguides: Modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Antennas: Dipole antennas; antenna arrays; radiation pattern; reciprocity theorem; antenna gain.top

8. EE – ELECTRICAL ENGINEERING

Electrical Circuits and Fields: Network graph, KCL, KVL, node/cut set, mesh/tie set analysis, transient response of d.c. and a.c. networks; sinusoidal steady-state analysis; resonance in electrical circuits; concepts of ideal voltage and current sources, network theorems, driving point, immittance and transfer functions of two port networks, elementary concepts of filters; three phase circuits; Fourier series and its application; Gauss theorem, electric field intensity and potential due to point, line, plane and spherical charge distribution, dielectrics, capacitance calculations for simple configurations; Ampere’s and Biot-Savart’s law, inductance calculations for simple configurations.

Electrical Machines: Single phase transformer – equivalent circuit, phasor diagram, tests, regulation and efficiency; three phase transformers – connections, parallel operation; auto transformer and three-winding transformer; principles of energy conversion, windings of rotating machines: D. C. generators and motors – characteristics, starting and speed control, armature reaction and commutation; three phase induction motors; performance characteristics, starting and speed control; single-phase induction motors; synchronous generators performance, regulation, parallel operation; synchronous motors – starting, characteristics, applications, synchronous, condensers; fractional horse power motors, permanent magnet and steeper motors.

Power Systems: Electric power generation – thermal, hydro, nuclear; transmission line parameters; steady-state performance of overhead transmission lines and cables; distribution systems, insulators, bundle conductors, corona and radio interference effects; per-unit quantities; bus admittance and impedance matrices; load flow; voltage control and power factor correction; economic operation; symmetrical components, analysis of symmetrical and unsymmetrical faults; principles of overcurrent, differential and distance protections; concept of solid state relays; circuit breakers; concept of system stability –swing curves and equal area criterion; basic concepts of HVDC transmission.

Control Systems: Principles of feedback; transfer function; block diagrams; signal flow graphs; steady-state errors; stability – Routh and Nyquist criteria; Bode plots; compensation; root loci; elementary state variable formulation; state transition matrix and response for LTI systems.

Electrical and Electronic Measurements: Bridges and potentiometers, PMMC, moving iron, dynamometer and induction type instruments; measurement of voltage, current, power, energy and power factor; instrument transformers; digital voltmeters and multimeters; phase, time and frequency measurement; Q-meter, oscilloscopes, potentiometric recorders, error analysis.

Analog and Digital Electronics: Characteristics of diodes, BJT, FET, SCR; amplifiers-biasing, equivalent circuit and frequency response; oscillators and feedback amplifiers, operational amplifiers – characteristics and applications; simple active filters; VCOs and timers; combinational and sequential logic circuits multiplexers, Schmitt trigger, multivibrators, sample and hold circuits; A/D and D/A converters; 8-bit microprocessors and their applications.

Power Electronics and Electric Drives: Semiconductor power devices-diodes, transistors, thyristors, triacs, GTO’s and MOSFETS – static characteristics and principles of operation; triggering circuits; phase control rectifiers; bridge converters – fully controlled and half controlled; principles of thyristor choppers and inverters, basic concepts of speed control of dc and ac motor drives.top

9. GG – GEOLOGY AND GEOPHYSICS

PART – I

Earth and planetary system; size, shape, internal structure and composition of the earth; atmosphere and greenhouse effect; isostasy; elements of seismology; continents and continental processes; physical oceanography; paleomagnetism, continental drift and plate tectonics, geothermal energy.

Weathering; soil formation; action of river, wind and glacier; oceans and oceanic features; earthquakes, volcanoes, orogeny and mountain building; elements of structural geology; crystallography; classification, composition and properties of minerals and rocks; engineering properties of rocks and soils.

Processes of ore formation; occurrence and distribution of ores on land and on ocean floor; coal and petroleum resources in India; ground water hydrology; geological time scale and geochronology; stratigraphic principles and stratigraphy of India; ground water, basic concepts of gravity, magnetic electrical prospecting for ores and ground water.

PART – II A: Geology

The earth as a planet; different motions of the earth; gravity field of the earth; geochronology; isostasy, geodesy, seismology and interior of the earth; variation of density, pressure, temperature, electrical and magnetic properties inside the earth; earthquakes; causes and measurements; geomagnetic field; paleomagnetism, continental drift and plate tectonics; heat flow; structure and evaluation of the ocean basins; upper and lower atmosphere phenomena.

Crystal symmetry, forms, twinning; crystal chemistry; optical mineralogy, classifications of minerals, diagnostic-properties of rock forming minerals.

Mineralogy, structure, texture and classification of igneous, sedimentary and metamorphic rocks; origin and evolution; application of thermodynamics; structure and petrology and sedimentary rock; sedimentary processes and environments, sedimentary facies, basin studies.

Contacts and primary structure; geometry and genesis of folds, faults, joints, unconformities, cleavage, schistosity and lineation; methods of projection; tectonites and their significance.

Morphology, classification and geological significance of important invertebrates, vertebrates, microfossils and paleoflora; stratigraphic principles and Indian stratigraphy geomorphic processes and agents; development and evolution of landforms; slope and drainage; processes on deep oceanic and near-shore regions; quantitative and applied geomorphology airphoto-interpretation and remote sensing; chemical and optical properties of ore minerals; formation and localization of ore deposits; prospecting and exploration of economic minerals; coal and petroleum geology; origin and distribution of mineral and fuel deposits in India; ore dressing and mineral economics.

Cosmic abundance; meteorites; geochemical evolution of the earth; geochemical cycles; distribution of major, minor and trace elements; isotope geochemistry; geochemistry of waters including solution eqilibria and water rock interaction.

Engineering properties of rocks and soils; rocks as a construction material; geology of dams, tunnels and excavation sites; natural hazards and their control; ground water geology and exploration; water quality impact of human activity.

PART – II B: Geophysics

The earth as a planet; different motions of the earth; gravity field of the earth; geochronology; isostasy, geodesy, seismology and interior of the earth; variation of density, pressure, temperature, electrical and magnetic properties inside the earth; earthquakes; causes and measurements; geomagnetic field, paleomagnetism, continental drift and plate tectonics; heat flow; structure and evolution of the ocean basins; upper and lower atmosphere phenomena.

Theories of scalar and vector potential fields; Laplace Maxwell and Helmholtz equations for solution of different types of boundary value problems for cartesian, cylindrical and spherical polar coordinates; Green’s theorem; Image theory; integral equations and conformal transformations in potential theory.

‘G’ and ‘g’ units of measurement, density of rocks, gravimeters, preparation, analysis and interpretation of gravity maps; derivative maps, analytical continuation; gravity anomaly type curves; calculation of mass; airborne and subsurface gravity surveys; microgravity surveys.

Earth’s magnetic field, units of measurement, magnetic susceptibility of rocks, magnetometers, ground and air-borne magnetic surveys, corrections, preparation of magnetic maps, magnetic anomaly type curve, analytical continuation, interpretation and application; magnetic well logging.

Conduction of electricity through rocks, electrical conductivities of metals, metallic, non-metallic and rock forming minerals, D.C. resistivity units and methods of measurement, electrode configuration for sounding and profiling, application of filter theory, interpretation of resistivity field data, application; self potential origin, classification field measurement, interpretation induced polarization time frequency, phase domain; I P units and methods of measurement, interpretation and application; ground-water exploration.

Origin of electromagnetic field, elliptic polarisation, methods of measurement for different source-receiver configuration components in EM measurements, interpretation and applications; earth’s natural electromagnetic field, tellurics, magneto-tellurics; geomagnetic depth sounding principles, methods of measurement, processing of data and interpretation; seismic sources; generation and propagation; of elastic waves, seismic reflection, refraction, instruments, field layouts, seismograms, removal of noise, seismic signal processing, interpretation of refraction and reflection data, seismic migration, seismic stratigraphy.

Principles and techniques of geophysical wellogging SP resistivity induction, micro gammary, neutron density, sonic, temperature, dip meter, caliper, nuclear magnetic, cement, bond logging. Quantitative evaluation of formations from well logs; application of bore hole geophysics in ground water, mineral and oil exploration.top

10. IN – INSTRUMENTATION ENGINEERING

Measurement Science and Transducers: Static and dynamic characteristics of instruments. Errors and uncertainty analysis, calibration. Transducers: elastic, resistive, inductive, capacitive, thermoelectric, piezoelectric, photoelectric, electromechanical and electrochemical.

Control Systems and Process Control: Principles of feedback, transfer function, signal flow graphs, stability criteria, Bode plots, Root-loci, Routh and Nyquist criteria. Compensation techniques. State variable formulation and solution. System components, servos, syncros and stepper motors. On-off, cascade, P, PI, PD, PID and feed forward controls. Controller tuning and general frequency response of a control system.

Analog and Digital Electronics: Characteristics of semiconductor devices. Equivalent circuits and frequency response. Operational amplifiers – characteristics and applications. Combinational and sequential logic circuits, shift registers, counters, multiplexers. A/D & D/A converters. 8 bit microprocessors and applications, micro controllers and interfacing technique. Basics of computer organization and architecture.

Signals and Systems, Digital Signal Processing: Ordinary differential equations, Laplace and Z-transforms. Fourier series. Vectors and matrices. Discrete spectrum, power density spectra. I and II order filters, active filters, AM and FM modulators and demodulators. Convolution and correlation, discrete Fourier transforms and its properties. Fast Fourier transforms. Digital filter – IIR, FIR, filters using windows.

Electrical and Electronic Measurements: Measurement of R, L and C bridges and potentiometers. Measurement of voltage, current, power, power factor and energy – instrument transformers – Q meter, waveform analysers – digital voltmeters – phase, time and frequency measurements – oscilloscopes. Noise and interference in instrumentation.

Metrology, Mechanical Measurements and Industrial Instrumentation: Calibration standards, linear and angular measurements, measurement of straightness, flatness and roundness, sinebars and slip gauges, screw threads. Optical methods, measurement of displacement, velocity, acceleration, force, torque, strain, vibration, pressure, flow, temperature, humidity, viscosity, density. Energy storing elements, suspension systems and dampers.

Analytical, Optical and Biomedical Instrumentation: Principles of spectroscopy, UV, visible and IR, mass spectrometry, X-ray methods. Nuclear radiation measurements. Gas, solid state and semi conductor, laser and their characteristics, interferometers, basics of fibre optics. Transducers for biomedical application, cardiovascular systems and measurement. Instrumentation for clinical laboratory.top

11. MA – MATHEMATICS

Linear Algebra: Finite dimensional vector spaces. Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton theorem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices, quadratic forms.

Complex Analysis: Analytic functions, conformal mappings, bilinear transformations, Cauchy’s integral theorem and formula, Liouville’s theorem, maximum modulus principle, Taylor and Laurent’s series, residue theorem and applications.

Real Analysis: Sequences and series of functions, uniform convergence, power series, Fourier series; functions of several variables, maxima, minima, multiple integrals, line, surface and volume integrals, theorems of Green, Stokes and Gauss; metric spaces, completeness, compactness. Lebesgue measure, measurable functions; Lebesgue integral, Fatou’s lemma, ted convergence theorem.

Ordinary Differential Equation: First order ordinary differential equations, existence and uniqueness theorems, systems of linear first order ordinary differential equations, linear ordinary differential equations of higher order with constant coefficients; method of Laplace transforms; linear second order ordinary differential equations with variable coefficients, Sturm-Liouville system, Green’s functions.

Algebra: Normal subgroups and homomorphism theorems, automorphisms. Group actions, Sylow’s theorems and their applications. Euclidean domains, Principal ideal domains and unique factorization domains. Prime ideals and maximal ideals in commutative rings.

Functional Analysis: Banach spaces, Hahn-Banach theorems, open mapping and closed graph theorems, principle of uniform boundedness; Hilbert spaces, orthonormal sets, Riesz representation theorem.

Numerical Analysis: Numerical solution of algebraic and transcendental equations: bisection, secant method, Newton-Raphson method; interpolation: existence and error of polynomial interpolation, Lagrange, Newton, Hermite interpolations; numerical differentiation and integration, Gaussian quadrature; least square and orthonormal polynomial approximation; numerical solution of systems of linear equations: direct and iterative methods with convergence; matrix eigenvalue problems: Jacobi and Given’s methods, numerical solution of ordinary differential equations: initial value problems, Taylor series method, Runge-Kutta methods, multistep methods – convergence and stability.

Partial Differential Equations: Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; Cauchy, Dirichlet and Neumann problems, Green’s functions; solutions of Laplace, wave and diffusion equations in two variables and applications to physical problems.

Mechanics: Forces in three dimensions, Poinsot central axis, virtual work, Lagrange’s equations for holonomic systems, theory of small oscillations, Hamiltonian equations.

Topology: Basic concepts of topology, product topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma, Tietz extension theorem, metrization theorems.

Probability & Statistics: Probability space, conditional probability, Bayes’ theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties, expectation, conditional expectation. Week and strong law of large numbers, central limit theorem. Sampling distributions, UMVU estimators, sufficiency and consistency, maximum likelihood estimators. Testing of hypotheses, Neyman-Pearson tests, monotone likelihood ratio, likelihood ratio tests, standard parametric tests based on normal, X²_, t, F-distributions. Interval estimation, linear regression and test for linearity of regression, analysis of variance for one way and two way classifications.

Linear Programming: Linear programming problem, graphical method, convex sets and their properties, basic feasible solution, simplex method, big-M and two phase methods, infeasible and unbounded LPP’s, alternate optima. Dual problem and duality theorems, dual simplex method and its application in post optimality analysis, interpretation of dual variables. Balanced and unbalanced transportation problems, unimodular property and u-v method for solving transportation problems. Hungarian method for solving assignment problems.

Calculus of Variations and Integral Equations: Linear functionals, Euler-Lagrange equation. Linear integral equations of Fredholm and Volterra type, their iterative solutions. Fredholm alternative.top

12. ME – MECHANICAL ENGINEERING

ENGINEERING MATHEMATICS

Linear Algebra: Algebra of matrices, system of linear equations, eigenvalues and eigenvectors.

Calculus: Taylor Series, Fourier Series, partial derivatives, total derivatives, definite and improper integrals, multiple integrals.

Vector Calculus: Gradient, divergence and curl, line and surface integrals, Green, Gauss and Stokes’ theorems.

Differential Equations: Linear ODE’s, first order non-linear ODE’s, initial and boundary value problems, Laplace transform, PDE’s - Laplace, wave and diffusion equations.

Numerical Methods: Solution of system of linear equations, interpolation, numerical integration, Newton-Raphson method, Runge-Kutta method.

Probability & Statistics: Gaussian, Weibul distribution and their properties, method of least squares, regression analysis, analysis of variance.

APPLIED MECHANICS AND DESIGN

Engineering Mechanics: Equivalent force systems, free-body concepts, equations of equilibrium, trusses and frames, virtual work and minimum potential energy. Kinematics and dynamics of particles and rigid bodies, impulse and momentum (linear and angular), energy methods, central force motion.

Strength of Materials: Stress and strain, elastic constants, stress-strain relationship, Mohr’s circle. Deflection of beams, bending and shear stresses, shear force and bending moment diagrams, torsion of circular shafts, thin and thick cylinders, Euler’s theory of columns, strain energy methods, thermal stresses.

Theory of machines: Analysis of plane mechanisms, dynamic analysis of slider-crank mechanism, planar cams and followers, gear tooth profiles, kinematics and design of gears, governors and flywheels, balancing of reciprocating and rotating masses.

Vibrations: Free and forced vibration of single degree freedom systems, effect of damping, vibration isolation, resonance, critical speed of shafts.

Design of Machine Elements: Design for static and dynamic loading, fatigue strength, failure theories. Design of bolted, riveted and welded joints; design of shafts and keys; design of spur gears, brakes and clutches, rolling and sliding contact bearings; belt, ropes and chain drives.

THERMAL SCIENCE AND ENGINEERING

Fluid Mechanics: Fluid properties, fluid statics, manometry, buoyancy, control-volume analysis of mass, momentum and energy, fluid acceleration, differential equation of continuity and momentum. Bernoulli’s equation. Viscous flow of incompressible fluids; boundary layer, flow through pipes, head losses in pipes, bends etc. Turbo machines: velocity triangles Euler’s equation, specific speed, Pelton wheel, centrifugal pump, Francis and Kaplan turbines.

Heat–Transfer: Modes of heat transfer, one dimensional heat conduction, resistance concept, electrical analogy, unsteady heat conduction, fins, dimensionless parameters in free and forced convective heat transfer, various practical correlations for heat transfer over flat plates and through pipes thermal boundary layer, effect of turbulence, radiative heat transfer, black and grey surfaces shape factors, network analysis, heat exchanger performance, LMTD and NTU methods.

Thermodynamics: Zeroth, first and second laws of thermodynamics, thermodynamic system and processes, irreversibility and availability, behaviour of ideal and real gases, properties of pure substances, calculation of work and heat in ideal processes. Analysis of thermodynamics cycles related to energy conversion. Carnot, Rankine, Otto, Diesel, Brayton and Vapour compression cycle.

Steam Engineering: Steam generators, Steam engines, steam turbines-impulse and reaction, velocity diagrams, compounding, reheat factor.

I.C. Engines: Requirements and suitability of fuels in IC engines, fuel ratings, fuel-air mixture requirements, normal combustion in SI and CI engines, engine performance calculations, components of gas turbine.

Reciprocating Air Compressor : Isothermal, adiabatic and polytropic compression, staging the compression process, intercooling and aftercooling, minimum work requirement, volumetric efficiency. Centrifugal and axial flow compressors.

Refrigeration and air-conditioning: Refrigerant compressors, expansion devices, condensers and evaporators, properties of moist air, psychrometric chart, basic psychrometric processes.

MANUFACTURING AND INDUSTRIAL ENGINEERING

Engineering materials: Structure and properties of engineering materials and their applications, heat treatment.

Metal Casting: Casting processes – pattern making, moulds and cores, solidification, design of casting, casting defects.

Metal Working: Stress-strain diagrams for ductile and brittle material, plastic deformation, mechanisms, fundamentals of hot and cold working processes-forgoing, extrusion, wire drawing, sheet metal working, punching, blanking, bending, deep drawing, coining and spinning.

Metal Joining Processes: Fusion and non-fusion welding processes, design of welded joints, modern welding processes.

Machining Processes and Machine Tool Operation: Mechanics of metal cutting, single and multipoint cutting tools, geometry and machining aspects, tool life, machinability, economics of machining, non-traditional machining processes.

Metrology and Inspection: Limits, fits and tolerances, linear and angular measurements, comparators, gauge design, interferometry, form and finish measurement, measurement of screw threads, alignment and testing methods.

Tool Engineering : Principles of work holding, design of jigs and fixtures, design of press working tools.

Manufacturing Analysis: Part-print analysis, tolerance analysis in manufacturing and assembly, time and cost analysis.

Computer Integrated Manufacturing: Basic concepts of CAD, CAM, Group technology.

Work Study: Method study, work measurement time study, work sampling, job evaluation, merit rating.

Production Planning and Control: Forecasting models, aggregate production planning, master scheduling, materials requirements planning.

Inventory control: Deterministic and probabilistic models, safety stock inventory control systems.

Operations Research: Linear programming, simplex and duplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.top

13. MN - MINING ENGINEERING

Mining Methods – Surface and Underground, Mine Transport and Machinery: Open cast methods of mining-layout, development and design; loading and transport, mechanized quarrying; continuous mining systems; underground methods of working coal by longwall, board and pillar, mining of thick seams, trends of new developments in coal mining; underground mining methods for metalliferrous deposits – development and stopping, handling of broken ore, waste and materials, slope mechanization; mine filling. Materials handling in mines-haulages, conveyors, ropeways; face and development machinery; mine hoists; mine pumps.

Rock Mechanics and Ground Control, Mine Development: Physico-mechanical properties of rocks, rock mass classification, stress measurement techniques; theories of rock failure, stress distribution around mine workings; mine subsidence, ground control instrumentation and monitoring, design of supports and support system in mine roadways and workings; pit stope stability; drilling methods and machines, explosives, blasting devices and practices, shaft sinking-ordinary and special methods.

Mine Ventilation, Environment and Safety: Underground mine atmosphere, sampling and analysis, mechanics of air flow, distribution and control; natural and mechanical ventilation; fans-types, selection and operation; heat and humidity – sources, estimation and air-conditioning; ventilation planning; mine fires and explosions; inundation; illumination, noise and mine dust-measurement, standards and control; mine rescue; mine safety and legislation.

Mine Surveying, Mineral Economic, Mine Planning and Management: Mine Surveying instruments, developments in instrumentation and techniques, correlation, underground surveying methods; mineral industry; concept and measurements of resources and reserves; sampling methods and practices; national mineral policy; mining companies and mine accounts; cash flow concepts and mine valuation; mining finance, royalty and taxation; principles of planning, optimization of output, life, size and other mine parameters; short range and long range planning; preparation of feasibility reports and OPR, production planning and productivity in mining; project planning and control; principles of scientific management, organization and staffing; work study and operations research in mining.

Mathematics applied to Mining Engineering: Limit, continuity and differentiability of functions of several variables, partial derivatives and their geometrical interpretations, differentials, derivatives of composite and implicit functions, derivative of higher orders and their commutativity, Euler’s theorem on homogeneous functions, harmonic functions, Taylor expansion for functions of several variables, maxima and minima of functions of several variables-Lagrange methods of multipliers; ordinary differential equations-first order equation-separable, exact, homogeneous, linear and Bernoulli’s form; matrices-algebra of matrices, vector space-linear dependence of vectors, rank and inverse of a matrix, solutions of a algebric equations-consistency conditions, eigen-values and eigen-vectors similarity transformation-reduction to a diagonal matrix; probability and statistics-definition and laws of probability, probability mass function, probability density function, mathematical expectation, mean, variance, moment, moment generating function; correlation and regression-simple, multiple and partial; tests of significance.top

14. MT – METALLURGICAL ENGINEERING

Thermodynamics and Rate Processes: Laws of thermodynamics, activity, equilibrium constant, applications to metallurgical systems, solutions, phase equilibria, basic kinetic laws, order of reactions, rate constants and rate limiting steps principles of electro chemistry, aqueous, corrosion and protection of metals, oxidation and high temperature corrosion – characterization and control; momentum transfer – concepts of viscosity, shell balances, Bernoulli’s equation; heat transfer – conduction, convection and heat transfer coefficient relations, radiation, mass transfer – diffusion and Fick’s laws.

Extractive Metallurgy: Flotation, gravity and other methods of mineral processin ; lomeration, pyro-hydro-and electro-metallurgical processes; material and energy balances; principles and processes for the extraction of non-ferrous metals – aluminium, copper, zinc, lead, magnesium, nickel, titanium and other rare metals; iron and steel making – principles, blast furnace, direct reduction processes, primary and secondary steel making, deoxidation and inclusion in steel; ingot and continuous casting; stainless steel making, design of furnaces; fuels and refractories.

Physical Metallurgy: Crystal structure and bonding characteristics of metals, alloys, ceramics and polymers; solid solutions; solidification; phase transformation and binary phase diagrams; principles of heat treatment of steels, aluminum alloys and cast irons; recovery, recrystallization and grain growth; industrially important ferrous and non-ferrous alloys; elements of X-ray and electron diffraction; principles of scanning and transmission electron microscopy; elements of ceramics, composites and electronic materials; electronic basis of thermal, optical, electrical and magnetic properties of materials.

Mechanical Metallurgy: Elements of elasticity and plasticity; defects in crystals; elements of dislocation theory – types of dislocations, slip and twinning, stress fields of dislocations, dislocation interactions and reactions, methods of seeing dislocations; strengthening mechanisms; tensile, fatigue and creep behaviour; superplasticity; fracture – Griffith theory, ductile to brittle transition, fracture toughness; failure analysis; mechanical testing – tension, compression, torsion, hardness, impact, creep, fatigue, fracture toughness and formability tests.

Manufacturing Processes: Metal casting – patterns, moulds, melting, gating, feeding and casting processes, defects and castings, hot and cold working of metals; Metal forming - fundamentals of metal forming, rolling wire drawing, extrusion, forming, sheet metal forming processes, defects in forming; Metal joining - soldering, brazing and welding, common welding processes, welding metallurgy, problems associated with welding of steels and aluminium alloys, defects in welding, powder metallurgy; NDT methods - ultrasonic, radiography, eddy current, acoustic emission and magnetic.

Engineering Mathematics: Ordinary and partial differential equations; vector analysis; matrices and determinants; eigen values and eigen vectors; Taylor’s theorem; infinite series and tests of convergence; numerical methods – root finding; solving system of equations and ordinary differential equations; tensor analysis.top

15. PH – PHYSICS

Mathematical Physics: Linear vector space, matrices; vector calculus; linear differential equations; elements of complex analysis; Fourier analysis.

Classical Mechanics: Conservation laws; central forces; collisions and scattering in laboratory and centre of mass reference frames; mechanics of system of particles; rigid body dynamics; moment of inertia tensor; noninertial frames and pseudo forces; variational principle; Lagrange’s and Hamilton’s formalisms; Poisson bracket; periodic motion, small oscillations, normal modes; wave equation and wave propagation; special theory of relativity – Lorentz transformations, relativistic kinematics, mass-energy equivalence.

Electromagnetic Theory: Laplace and Poisson equations; conductors and dielectrics; boundary value problems; Ampere’s and Biot-Savart’s laws; Faraday’s law; Maxwell’s equations; scalar and vector potentials; boundary conditions at interfaces; electromagnetic waves; interference, diffraction and polarization; radiation from moving charges.

Quantum Mechanics: Physical basis of quantum mechanics; uncertainty principle; Schrodinger equation; one and three dimensional potential problems; harmonic oscillator, hydrogen atom; linear vectors and operators in Hilbert space; angular momentum and spin; addition of angular momentum; time independent perturbation theory; elementary scattering theory.

Atomic and Molecular Physics: Spectra of one-and many-electron atoms; LS and jj coupling; hyperfine structure; Zeeman and Stark effects; electric dipole transitions and selection rules; X-ray spectra; rotational and vibrational spectra of diatomic molecules; electronic transition in diatomic molecules, Franck-Condon principle; Raman effect; NMR and ESR; lasers.

Thermodynamics and Statistical Physics: Laws of thermodynamics; phase space; ensembles; partition function, free energy, calculation of thermodynamic quantities; classical and quantum statistics; degenerate Fermi gas; black body radiation and Planck’s distribution law; Bose-Einstein condensation; first and second order phase transitions, critical point.

Solid State Physics: Elements of crystallography; diffraction methods for structure determination; bonding in solids; elastic properties of solids; defects in crystals; lattice vibrations and thermal properties of solids; free electron theory; band theory of solids; metals, semiconductors and insulators; transport properties; optical, dielectric and magnetic properties of solids; elements of superconductivity.

Nuclear and Particle Physics: Rutheford scattering; basic properties of nuclei; radioactive decay; nuclear forces; two nucleon problem; nuclear reactions; conservation laws; fission and fusion; nuclear models; particle accelerators, detectors; elementary particles; photons, baryons, mesons and leptons; Quark model.

Electronics: Network analysis; semiconductor devices; bipolar transistors; FETs; power supplies, amplifier, oscillators; operational amplifiers; elements of digital electronics; logic circuits.top

16. PI – PRODUCTION AND INDUSTRIAL ENGINEERING

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 integrals; multiple integrals.

Vector Calculus: Gradient; divergence and curl; vector identities; line integral and surface integral; Green, Gauss and Stokes theorems.

Differential Equations: Ordinary differential equations; first order equations (linear and non-linear); higher order linear differential equations with constant coefficients; methods of variation 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 distributions; estimation; testing of hypotheses; method of least squares; regression analysis; analysis of variance.

Computer Programming & Numerical Methods: Elementary numerical methods in calculus and ordinary differential equations, elements of programming in FORTRAN 77 and 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 mechanics - 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 castings, 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 -punching, blanking, bending, deep drawing, forming, coining and spinning; analysis of rolling, forging, extrusion and wire/rod drawing; tool design and equipment selection - forging and sheet metal cutting, bending and deep 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; modern welding processes - friction, ultrasonic, explosive, electron beam, laser and plasma.

Machining and Machine Tool Operations: Tool materials, geometry of cutting tools, cutting fluids; turning, drilling, boring, milling, shaping, planing, sawing, gear cutting, thread production, broaching, grinding; lapping, honing super finishing; selection of process parameters; mechanics of cutting - Merchant’s analysis, cutting forces, power requirements, tool wear and tool life, machinability; economics of machining; nontraditional machining processes – EDM, CHM, ECM, USM, LBM, EBM, AJM, PAM and WJM.

Metrology and Inspection: Limits and fits, linear and angular measurements by mechanical and optical methods, comparators - mechanical, electrical, electronic and pneumatic; design of limit gauges; interferometry; measurement of straightness, flatness, roundness, squareness and symmetry; surface finish measurement; inspection of screw threads and gears; alignment testing.

Processing of Plastics: Polymers and composites; injection, compression and blow moulding, extrusion, calendaring and thermoforming; moulding of composites.

Powder Metallurgy: Production of powders, compaction, sintering.

Tool Engineering: Worksholding-location and clamping; principles and methods; design of jigs and fixtures; design of press working tools.

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.

Computer Integrated Manufacturing: Basics concepts of CAD, CAM, CAPP, Group technology, NC CNC, DNC, FMS, Robotics and CIM.

INDUSTRIAL ENGINEERING

Product Engineering: Issues in choosing manufacturing technologies and strategies; 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.

Management of Production Systems: Functions of management; evolution of scientific approaches to management; framework and methodologies of decision making; productivity concepts and measurements.

Work Study: Methods study, principles of motion economy, ergonomics; work measurement - time study, work sampling, PMTS; job evaluation, merit rating, wage incentive plans.

Facility Location and Layout: Facility location factors, evaluation of alternatives, types of plant layout, evaluation; computer aided layout; assembly line balancing; material handling systems.

Production Planning and Control: Forecasting techniques - casual and time series models, moving average, exponential smoothing and regression methods; aggregate production planning; master scheduling; order control and flow control; routing, scheduling and priority dispatching; JIT; Kanban PULL systems; bottleneck scheduling and theory of constraints.

Inventory Control: Function costs, classifications - deterministic and probabilistic models; quantity discounts; safety stock; inventory control systems. M.R.P.

Operations 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; project management – PERT and CPM, time-cost trade-off, resource leveling.

Quality Control: 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.

Management Information systems: Value of information; information storage and retrieval systems – database and data structures; interactive systems; knowledge based systems.top

17. PY – PHARMACEUTICAL SCIENCES

Natural Products: Chemistry, tests, uses