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AG - AGRICULTURAL ENGINEERING
ENGINEERING MATHEMATICS:
Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green's theorems.
Diferential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs with constant coefficients; Cauchy's and Euler's equations; Laplace transforms; PDEs - Laplace, heat and wave equations.
Probability and Statistics: Mean, median, mode and standard deviation; Random variables; Poisson, normal and binomial distributions; Correlation and regression analysis.
Numerical Methods: Solutions of linear and non-linear algebraic equations; integration of trapezoidal and Simpson's rule; single and multi-step methods for differential equations.
FARM MACHINERY AND POWER:
Sources of power on the farm-human, animal, mechanical, electrical, wind, solar and biomass; design and selection of machine elements - gears, pulleys, chains and sprockets and belts; overload safety devices used in farm machinery; measurement of force, torque, speed, displacement and acceleration on machine elements.
Soil tillage; forces acting on a tillage tool; hitch systems and hitching of tillage implements; functional requirements, principles of working, construction and operation of manual, animal and power operated equipment for tillage. sowing, planting, fertilizer application, inter-cultivation, spraying, mowing, chaff cutting, harvesting, threshing and transport; testing of agricultural machinery and equipment; calculation of performance parameters -field capacity, efficiency, application rate and losses; cost analysis of implements and tractors.
Thermodynamic principles of I.C. engines; I.C. engine cycles; engine components; fuels and combustion; lubricants and their properties; I.C. engine systems - fuel, cooling, lubrication, ignition, electrical, intake and exhaust; selection, operation, maintenance and repair of I.C. engines; power efficiencies and measurement; calculation of power, torque, fuel consumption, heat load and power losses.
Tractors and power tillers - type, selection, maintenance and repair; tractor clutches and brakes; power transmission systems - gear trains, differential, final drives and power take-off; mechanics of tractor chassis; traction theory; three point hitches- free link and restrained link operations; mechanical steering and hydraulic control systems used in tractors; human engineering and safety in tractor design; tractor tests and performance.
SOIL AND WATER CONSERVATION ENGINEERING:
Ideal and real fluids, properties of fluids; hydrostatic pressure and its measurement; hydrostatic forces on plane and curved surface; continuity equation; Bernoulli's theorem; laminar and turbulent flow in pipes, Darcy-Weisbach and Hazen-Williams equations, Moody's diagram; flow through orifices and notches; flow in open channels.
Engineering properties of soils, fundamental definitions and relationships; index properties of soils; permeability and seepage analysis; shear strength, Mohr's circle of stresses; active and passive earth pressures; stability of slopes.
Hydrological cycle; precipitation measurement, analysis of precipitation data; abstraction from precipitation; runoff; hydrograph analysis, unit hydrograph theory and application; stream flow measurement; flood routing, hydrological reservoir and channel routing.
Mechanics of soil erosion, factors affecting erosion; soil loss estimation; biological and engineering measures to control erosion, terraces and bunds; vegetative waterways; gully control structures, drop, drop inlet and chute spillways; farm ponds; earthen dams; principles of watershed management.
Water requirement of crops; consumptive use and evapo-transpiration; irrigation scheduling; irrigation efficiencies; design of prismatic and silt loaded channels; methods of irrigation water application; design and evaluation of irrigation methods; drainage coefficient; surface and subsurface drainage systems; leaching requirement and salinity control; irrigation and drainage water quality; classification of pumps; pump characteristics; pump selection; types of aquifer; evaluation of aquifer properties; well hydraulics; ground water recharge.
AGRICULTURAL PROCESSING AND FOOD ENGINEERING:
Steady state heat transfer in conduction, convection and radiation; transient heat transfer in simple geometry; condensation and boiling heat transfer; working principles of heat exchangers; diffusive and convective mass transfer; simultaneous heat and mass transfer in agricultural processing operations.
Material and energy balances in food processing systems; water activity, sorption and desorption isotherms; centrifugal separation of solids, liquids and gases; kinetics of microbial death - pasteurisation and sterilization of liquid foods; preservation of food by cooling and freezing; psychrometry - properties of air-vapour mixture; concentration and dehydration of liquid foods - evaporators, tray, drum and spray dryers.
Mechanics and energy requirement in size reduction of granular solids; particle size analysis for comminuted solids; size separation by screening; fluidisation of granular solids; cleaning and grading efficiency and effectiveness of grain cleaners; conditioning and hydrothermal treatments for grains; dehydration of food grains; processes and machines for processing of cereals, pulses and oilseeds; design considerations for grain silos.
AR - ARCHITECTURE AND PLANNING
City planning: Historical development of cities; principles of city planning; new towns; survey methods, site planning, planning regulations and building bye-laws.
Housing: Concept of shelter; housing policies and design; community planning; role of government agencies; finance and management.
Landscape Design: Principles of landscape design and site planning; history and landscape styles; landscape elements and materials; planting design.
Computer Aided Design: Application of computers in architecture and planning; understanding elements of hardware and software; computer graphics; programming languages - C and Visual Basic and usage of packages such as AutoCAD.
Environmental and Building Science: Elements of environmental science; ecological principles concerning environment; role of micro-climate in design; climatic control through design elements; thermal comfort; elements of solar architecture; principles of lighting and illumination; basic principles of architectural acoustics; air pollution, noise pollution and their control.
Visual and Urban Design: Principles of visual composition; proportion, scale, rhythm, symmetry, harmony, balance, form and colour; sense of place and space, division of space; focal point, vista, imageability, 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: Architectural developments and impacts on society since industrial revolution; influence of modern art on architecture; works of national and international architects; post modernism in architecture.
Building Services: Water supply, Sewerage and Drainage systems; Sanitary fittings and fixtures; principles of electrification of buildings; elevators, their standards and uses; air-conditioning systems; fire fighting systems.
Building Construction and Management: Building construction techniques, methods and details; building systems and prefabrication of building elements; principles of modular coordination; estimation, specification, valuation, professional practice; project management, PERT, CPM.
Materials and Structural Systems: Behavioural characteristics of all types of building materials e.g. mud, timber, bamboo, brick, concrete, steel, glass, FRP; principles of strength of materials; design of structural elements in wood, steel and RCC; elastic and limit state design; complex structural systems; principles of pre-stressing.
Planning Theory: Planning process; multilevel planning; comprehensive planning; central place theory; settlement pattern; land use and land utilization.
Techniques of Planning: Planning surveys; Preparation of urban and regional structure plans, development plans, action plans; site planning principles and design; statistical methods; application of remote sensing techniques in urban and regional planning.
Traffic and Transportation Planning: Principles of traffic engineering and transportation planning; methods of conducting 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; public transportation planning; modes of transportation.
Services and Amenities: Principles and design of water supply systems, sewerage systems, solid waste disposal systems, power supply and communication systems; Health, education, recreation and demography related standards at various levels of the settlements.
Development Administration and Management: Planning laws; development control and zoning regulations; laws relating to land acquisition; development enforcements, land ceiling; regional and urban plan preparations; planning and municipal administration; taxation, revenue resources and fiscal management; public participation and role of NGO.
CE - CIVIL ENGINEERING
ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy's integral theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule, single and multi-step methods for differential equations.
STRUCTURAL ENGINEERING
Mechanics: Bending moments and shear forces in statically determinate beams; simple stress and strain: relationship; stress and strain in two dimensions, principal stresses, stress transformation, Mohr's circle; simple bending theory; flexural shear stress; thin-walled pressure vessels; uniform torsion.
Structural Analysis: Analysis of statically determinate trusses, arches and frames; displacements in statically determinate structures and analysis of statically indeterminate structures by force/energy methods; analysis by displacement methods (slope-deflection and moment-distribution methods); influence lines for determinate and indeterminate structures; basic concepts of matrix methods of structural analysis.
Concrete Structures: Basic working stress and limit states design concepts; analysis of ultimate load capacity and design of members subject to flexure, shear, compression and torsion (beams, columns and isolated footings); basic elements of prestressed concrete: analysis of beam sections at transfer and service loads.
Steel Structures: Analysis and design of tension and compression members, beams and beam-columns, column bases; connections - simple and eccentric, beam-column connections, plate girders and trusses; plastic analysis 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 hydraulic modeling. Applications of momentum equation, potential flow, kinematics of flow; velocity triangles and specific speed of pumps and turbines.
Hydrology: Hydrologic cycle; rainfall; evaporation infiltration, unit hydrographs, flood estimation, reservoir design, reservoir and channel routing, well hydraulics.
Irrigation: Duty, delta, estimation of evapo-transpiration; crop water requirements; design of lined and unlined canals; waterways; head works, 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.
CH - CHEMICAL ENGINEERING
ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy's integral theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule, single and multi-step methods for differential equations.
CHEMICAL ENGINEERING
Process Calculations and Thermodynamics: Laws of conservation of mass and energy; use of tie components; recycle, bypass and purge calculations; degree of freedom analysis.
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, Bernoulli equation, Macroscopic friction factors, energy balance, dimensional analysis, shell balances, 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; centrifuge 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, molecular diffusion in fluids, mass transfer coefficients, film, penetration and surface renewal theories; momentum, heat and mass transfer analogies; stagewise and continuous contacting and stage efficiencies; HTU & NTU concepts design and operation of equipment for distillation, absorption, leaching, liquid-liquid extraction, crystallization, 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; residence time; non-isothermal reactors; kinetics of heterogeneous catalytic reactions; diffusion effects in catalysis.
Instrumentation and Process Control: Measurement of process variables; sensors, transducers and their dynamics, dynamics of simple systems, dynamics such as CSTRs, 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, cascade, feed forward control.
Plant Design and Economics: Design and sizing of chemical engineering equipment such as compressors, heat exchangers, multistage contactors; principles of process economics and cost estimation including total annualized cost, cost indexes, rate of return, payback period, discounted cash flow, optimization in Design.
Chemical Technology: Inorganic chemical industries; sulfuric acid, NaOH, fertilizers (Ammonia, Urea, SSP and TSP); natural products industries (Pulp and Paper, Sugar, Oil, and Fats); petroleum refining and petrochemicals; polymerization industries; polyethylene, polypropylene, PVC and polyester synthetic fibers.
CS - COMPUTER SCIENCE AND ENGINEERING
ENGINEERING MATHEMATICS
Mathematical Logic: Propositional Logic; First Order Logic.
Probability: Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables; Distributions; uniform, normal, exponential, Poisson, Binomial.
Set Theory & Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra.
Combinatorics: Permutations; Combinations; Counting; Summation; generating functions; recurrence relations; asymptotics.
Graph Theory: Connectivity; spanning trees; Cut vertices & edges; covering; matching; independent sets; Colouring; Planarity; Isomorphism.
Linear Algebra: Algebra of matrices, determinants, systems of linear equations, Eigen values and Eigen vectors.
Numerical Methods: LU decomposition for systems of linear equations; numerical solutions of non linear algebraic equations by Secant, Bisection and Newton-Raphson Methods; Numerical integration by trapezoidal and Simpson's rules.
Calculus: Limit, Continuity & differentiability, Mean value Theorems, Theorems of integral calculus, evaluation of definite & improper integrals, Partial derivatives, Total derivatives, maxima & minima.
THEORY OF COMPUTATION
Formal Languages and Automata Theory: Regular languages and finite automata, Context free languages and Push-down automata, Recursively enumerable sets and Turing machines, Un-decidability;
Analysis of Algorithms and Computational Complexity: Asymptotic analysis (best, worst, average case) of time and space, Upper and lower bounds on the complexity of specific problems, NP-completeness.
COMPUTER HARDWARE
Digital Logic: Logic functions, Minimization, Design and synthesis of Combinational and Sequential circuits; Number representation and Computer Arithmetic (fixed and floating point);
Computer Organization: Machine instructions and addressing modes, ALU and Data-path, hardwired and micro-programmed control, Memory interface, I/O interface (Interrupt and DMA mode), Serial communication interface, Instruction pipelining, Cache, main and secondary storage.
SOFTWARE SYSTEMS
Data structures: Notion of abstract data types, Stack, Queue, List, Set, String, Tree, Binary search tree, Heap, Graph;
Programming Methodology: C programming, Program control (iteration, recursion, Functions), Scope, Binding, Parameter passing, Elementary concepts of Object oriented, Functional and Logic Programming;
Algorithms for problem solving: Tree and graph traversals, Connected components, Spanning trees, Shortest paths; Hashing, Sorting, Searching; Design techniques (Greedy, Dynamic Programming, Divide-and-conquer);
Compiler Design: Lexical analysis, Parsing, Syntax directed translation, Runtime environment, Code generation, Linking (static and dynamic); Operating Systems: Classical concepts (concurrency, synchronization, deadlock), Processes, threads and Inter-process communication, CPU scheduling, Memory management, File systems, I/O systems, Protection and security.
Databases: Relational model (ER-model, relational algebra, tuple calculus), Database design (integrity constraints, normal forms), Query languages (SQL), File structures (sequential files, indexing, B+ trees), Transactions and concurrency control;
Computer Networks: ISO/OSI stack, sliding window protocol, LAN Technologies (Ethernet, Token ring), TCP/UDP, IP, Basic concepts of switches, gateways, and routers.
CH - 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 and Huckel approximation, approximate techniques: variation and perturbation; symmetry, point groups; rotational, vibrational, electronic, NMR and ESR spectroscopy.
Equilibrium: First law of thermodynamics, heat, energy and work; second law of thermodynamics and entropy; third law and absolute entropy; free energy; partial molar quantities; ideal and non-ideal solutions; phase transformation: phase rule and phase diagrams- one, two, and three component systems; activity, activity coefficient, fugacity and fugacity coefficient ; chemical equilibrium, response of chemical equilibrium to temperature and pressure; colligative properties; kinetic theory of gases; thermodynamics of electrochemical cells; standard electrode potentials: applications - corrosion and energy conversion; molecular partition function (translational, rotational, vibrational and electronic).
Kinetics: Rates of chemical reactions, theories of reaction rates, collision and transition state theory; temperature dependence of chemical reactions; elementary reactions, consecutive elementary reactions; steady state approximation, kinetics of photochemical reactions and free radical polymerization, homogenous and heterogeneous catalysis.
INORGANIC CHEMISTRY
Non-Transition Elements: General characteristics, structure and reactions of simple and industrially important compounds, boranes, carboranes, silicates, silicones, diamond and graphite; hydrides, oxides and oxoacids of N, P, S and halogens; boron nitride, borazines and phosphazenes; xenon compounds. Shapes of molecules, hard-soft acid base concept.
Transition Elements: General characteristics of d and f block elements; coordination chemistry: structure and isomerism, stability, theories of metal-ligand bonding (CFT and LFT), electronic spectra and magnetic properties of transition metal complexes and lanthanides; metal carbonyls, metal-metal bonds and metal atom clusters, metallocenes; transition metal complexes with bonds to hydrogen, alkyls, alkenes, and arenes; metal carbenes; use of organometallic compounds as catalysts in organic synthesis; mechanisms of substitution and electron transfer reactions of coordination complexes. Role of metals with special reference to Na, K, Mg, Ca, Fe, Co, Zn, and Mo in biological systems.
Solids: Crystal systems and lattices, Miller planes, crystal packing, crystal defects; Bragg's Law; ionic crystals, band theory, metals and semiconductors. Spinels.
Instrumental methods of analysis: atomic absorption, UV-visible spectrometry, chromatographic and electro-analytical methods.
ORGANIC CHEMISTRY
Synthesis, reactions and mechanisms involving the following: Alkenes, alkynes, arenes, alcohols, phenols, aldehydes, ketones, carboxylic acids and their derivatives; halides, nitro compounds and amines; stereochemical and conformational effects on reactivity and specificity; reactions with diborane and peracids. Michael reaction, Robinson annulation, reactivity umpolung, acyl anion equivalents; molecular rearrangements involving electron deficient atoms.
Photochemistry: Basic principles, photochemistry of olefins, carbonyl compounds, arenes, photo oxidation and reduction.
Pericyclic reactions: Cycloadditions, electrocyclic reactions, sigmatropic reactions; Woodward-Hoffmann rules.
Heterocycles: Structural properties and reactions of furan, pyrrole, thiophene, pyridine, indole.
Biomolecules: Structure, properties and reactions of mono- and di-saccharides, physico-chemical properties of amino acids, structural features of proteins and nucleic acids.
Spectroscopy: Principles and applications of IR, UV-visible, NMR and mass spectrometry in the determination of structures of organic compounds.
EC - ELECTRONICS AND COMMUNICATION ENGINEERING
ENGINEERING MATHEMATICS
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Z-transform.
ELECTRONICS & 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. Linear constant coefficient differential equations; time domain analysis of simple RLC circuits, Solution of network equations using Laplace transform: frequency domain analysis of RLC circuits. 2-port network parameters: driving point and transfer functions. State equations for networks.
Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, LASERs. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.
Analog Circuits: 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. Sample and hold circuits, ADCs, DACs. Semiconductor memories. Microprocessor(8085): architecture, programming, memory and I/O interfacing.
Signals and Systems: Definitions and properties of Laplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, z-transform. Sampling theorems. Linear Time-Invariant (LTI) Systems: definitions and properties; casuality, stability, impulse response, convolution, poles and zeros frequency response, group delay, phase delay. Signal transmission through LTI systems. Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density.
Controls Systems: Basic control system components; block diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems 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 control systems 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 of LTI control systems.
Communications: Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Digital communication systems: 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), matched filter receivers, bandwith consideration and probability of error calculations for these schemes.
Electromagnetics: Elements of vector calculus: 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.
EE - ELECTRICAL ENGINEERING
ENGINEERING MATHEMATICS
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Z-transform.
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 stepper motors.
Power Systems: Electric power generation - thermal, hydro, nuclear; transmission line parameters; steady-state performance of overhead transmission lines and cables and surge propagation; 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 over current, differential and distance protections; concept of solid state relays and digital protection; 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: steady-state errors; stability-Routh and Nyquist criteria; Bode plots; compensation; root loci; elementary state variable formulation; state transition matrix and response for Linear Time Invariant 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, multiplexer, Schmitt trigger, multivibrators, sample and hold circuits, A/D and D/A converters; microprocessors and their applications.
Power Electronics and Electric Drives: Semiconductor power devices-diodes, transistors, thyristors, triacs, GTOs, MOSFETs and IGBTs - static characteristics and principles of operation; triggering circuits; phase control rectifiers; bridge converters-fully controlled and half controlled; principles of choppers and inverters, basic concepts of adjustable speed dc and ac drives.
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; palaeomagnetism, continental drift 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, role of geology in the construction of engineering structures.
Processes of ore formation, occurrence and distribution of ores on land and on ocean floor; coal and petroleum resources in India; ground water geology including well hydraulics, geological time scale and geochronology; stratigraphic principles and stratigraphy of India; basics concepts of gravity, magnetic and electrical prospecting for ores and ground water.
PART - IIA: GEOLOGY
Crystal symmetry, forms, twinning; crystal chemistry; optical mineralogy, classification of minerals, diagnostic properties of rock minerals.
Mineralogy, structure, texture and classification of igneous, sedimentary and metamorphic rock, their origin and evolution; application of thermodynamics; structure and petrology of sedimentary rocks; sedimentary processes and environments, sedimentary facies, basin studies; basement cover relationship;
Primary and secondary structures; geometry and genesis of folds, faults, joints, unconformities, cleavage, schistosity and lineation; methods of projection. Tectonites and their significance; shear zone; superposed folding.
Morphology, classification and geological significance of important invertebrates, vertebrates, microfossils and palaeoflora; 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; air photo 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 equilibria and water rock interaction.
Engineering properties of rocks and soils; rocks as construction material; geology of dams, tunnels and excavation sites; natural hazards; the fly ash problem; ground water geology and exploration; water quality; impact of human activity; Remote sensing techniques for the interpretation of landforms and resource management.
PART - II B: GEOPHYSICS
The earth as a planet; different motions of the earth; gravity filed of the earth and its shape; geochronology; isostasy, seismology and interior of the earth; variation of density, velocity, pressure, temperature, electrical and magnetic properties inside the earth; earthquakes-causes and measurements; zonation and seismic hazards; geomagnetic field, palaeomagnetism; oceanic and continental lithosphere; plate tectonics; heat flow; upper and lower atmospheric 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; Eikonal equation and ray 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.
Earth's magnetic field, units of measurement, magnetic susceptibility of rocks, magnetometers, 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 of induced polarization time frequency, phase domain; IP units and methods of measurement, interpretation and application; ground-water exploration.
Origin of electromagnetic field elliptic polarization, 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 methods of prospecting: Reflection, refraction and CDP surveys; land and marine seismic sources, generation and propagation of elastic waves, velocity increasing with depth, geophones, hydrophones, recording instruments (DFS), digital formats, field layouts, seismic noises and noise profile analysis, optimum geophone grouping, noise cancellation by shot and geophone arrays, 2D and 3D seismic data acquisition and processing, CDP stacking charts, binning, filtering, dip-moveout, static and dynamic corrections, deconvolution, migration, signal processing, Fourier and Hilbert transforms, attribute analysis, bright and dim spots, seismic stratigraphy, high resolution seismics, VSP.
Principles and techniques of geophysical well-logging, SP, resistivity, induction, micro gamma ray, neutron, density, sonic, temperature, dip meter, caliper, nuclear magnetic, cement bond logging. Quantitative evaluation of formations from well logs; well hydraulics and application of geophysical methods for groundwater study; application of bore hole geophysics in ground water, mineral and oil exploration. Remote sensing techniques and application of remote sensing methods in geophysics.
IN - INSTRUMENTATION ENGINEERING
ENGINEERING MATHEMATICS
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Z-transform.
INSTRUMENTATION ENGINEERING
Measurement Basics and Metrology: Static and dynamic characteristics of measurement systems. Standards and calibration. Error and uncertainty analysis, statistical analysis of data, and curve fitting. Linear and angular measurements; Measurement of straightness, flatness, roundness and roughness.
Transducers, Mechanical Measurements and Industrial Instrumentation: Transducers - elastic, resistive, inductive, capacitive, thermo-electric, piezoelectric, photoelectric, electro-mechanical, electro-chemical, and ultrasonic. Measurement of displacement, velocity (linear and rotational), acceleration, shock, vibration, force, torque, power, strain, stress, pressure, flow, temperature, humidity, viscosity, and density. energy storing elements, suspension systems and dampers.
Analog Electronics: Characteristics of diodes, BJTs, JFETs and MOSFETs; Diode circuits; Amplifiers: single and multi-stage, feedback; Frequency response; Operational amplifiers - design, characteristic, linear and non-linear applications: difference amplifiers; instrumentation amplifiers; precision rectifiers, I-to-V converters, active filters, oscillators, comparators, signal generators, wave shaping circuits.
Digital Electronics: Combinational logic circuits, minimization of Boolean functions; IC families (TTL, MOS, CMOS), arithmetic circuits, multiplexer and decoders. Sequential circuits: flip-flops, counters, shift registers. Schmitt trigger, timers, and multivibrators. Analog switches, multiplexers, S/H circuits. Analog-to-digital and digital-to-analog converters. Basics of computer organization and architecture. 8-bit microprocessor (8085), applications, memory, I/O interfacing, and microcontrollers.
Signals and Systems: Vectors and matrices; Fourier series; Fourier transforms; Ordinary differential equations. Impulse and frequency responses of first and second order systems. Laplace transform and transfer function, convolution and correlation. Amplitude and frequency modulations and demodulations. Discrete time systems, difference equations, impulse and frequency responses; Z-transforms and transfer functions; IIR and FIR filters.
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 analyzers. Digital volt-meters and multi-meters. Time, phase and frequency measurements; Oscilloscope. Noise and interference in instrumentation.
Control Systems & Process Control: Principles of feedback; transfer function, signal flow graphs. Stability criteria, Bode plots, root-loci, Routh and Nyquist criteria. Compensation techniques; State space analysis. System components: mechanical, hydraulic, pneumatic, electrical and electronic; Servos and synchros; Stepper motors. On-off, cascade, P, PI, PID and feed-forward controls. Controller tuning and general frequency response.
Analytical, Optical and Biomedical Instrumentation: Principles of spectrometry, UV, visible, IR mass spectrometry, X-ray methods; nuclear radiation measurements, gas, solid and semi conductor lasers and their characteristics, interferometers, basics of fibre optics, transducers in biomedical applications, cardiovascular system measurements, instrumentation for clinical laboratory.
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. Finite dimensional inner product spaces, self-adjoint and Normal linear operators, spectral theorem, Quadratic forms.
Complex Analysis: Analytic functions, conformal mappings, bilinear transformations, complex integration: Cauchy's integral theorem and formula, Liouville's theorem, maximum modulus principle, Taylor and Laurent's series, residue theorem and applications for evaluating real integrals.
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, Weierstrass approximation theorem, compactness. Lebesgue measure, measurable functions; Lebesgue integral, Fatou's lemma, dominated convergence theorem.
Ordinary Differential Equations: 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; linear second order ordinary differential equations with variable coefficients, method of Laplace transforms for solving ordinary differential equations, series solutions; Legendre and Bessel functions and their orthogonality, Sturm Liouville system, Greeen's functions.
Algebra: Normal subgroups and homomorphisms theorems, automorphisms. Group actions, sylow's theorems and their applications groups of order less than or equal to 20, Finite p-groups. Euclidean domains, Principal ideal domains and unique factorizations 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, self-adjoint, unitary and normal linear operators on Hilbert Spaces.
Numerical Analysis: Numerical solution of algebraic and transcendental equations; bisection, secant method, Newton-Raphson method, fixed point iteration, interpolation: existence and error of polynomial interpolation, Lagrange, Newton, Hermite(osculatory)interpolations; numerical differentiation and integration, Trapezoidal and Simpson rules; Gaussian quadrature; (Gauss-Legendre and Gauss-Chebyshev), method of undetermined parameters, least square and orthonormal polynomial approximation; numerical solution of systems of linear equations: direct and iterative methods, (Jacobi Gauss-Seidel and SOR) 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, predictor-corrector 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 Fourier series and transform methods of solutions of the above equations 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, Tietze extension theorem, metrization theorems, Tychonoff theorem on compactness of product spaces.
Probability and Statistics: Probability space, conditional probability, Bayes' theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties, expectation, conditional expectation, moments. Weak 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. Linear regression and test for linearity of regression. Interval estimation.
Linear Programming: Linear programming problem and its formulation, convex sets their properties, graphical method, 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: Variational problems with fixed boundaries; sufficient conditions for extremum, Linear integral equations of Fredholm and Volterra type, their iterative solutions. Fredholm alternative.
ME - MECHANICAL ENGINEERING
ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy's integral theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule, single and multi-step methods for differential equations.
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, stress-strain relationship and elastic constants, Mohr's circle for plane stress and plane strain, shear force and bending moment diagrams, bending and shear stresses, deflection of beams, torsion of circular shafts, thin and thick cylinders, Euler's theory of columns, strain energy methods, thermal stresses.
Theory of Machines: Displacement, velocity and acceleration, analysis of plane mechanisms, dynamic analysis of slider-crank mechanism, planar cams and followers, gear tooth profiles, kinematics 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 rotors.
Design of Machine Elements: Design for static and dynamic loading, failure theories, fatigue strength; design of bolted, riveted and welded joints; design of shafts and keys; design of spur gears, rolling and sliding contact bearings; brakes and clutches; belt, rope and chain drives.
FLUID MECHANICS AND THERMAL SCIENCES
Fluid Mechanics: Fluid properties, fluid statics, manometry, buoyancy; control-volume analysis of mass, momentum and energy; fluid acceleration; differential equations of continuity and momentum; Bernoulli's equation; viscous flow of incompressible fluids; boundary layer; elementary turbulent flow; flow through pipes, head losses in pipes, bends etc.
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 correlations for heat transfer in flow 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 thermodynamic cycles related to energy conversion; Carnot, Rankine, Otto, Diesel, Brayton and vapour compression cycles.
Power Plant Engineering: Steam generators; steam power cycles; steam turbines; impulse and reaction principles, velocity diagrams, pressure and velocity compounding; reheating and reheat factor; condensers and feed heaters.
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.
Refrigeration and air-conditioning: Refrigerant compressors, expansion devices, condensers and evaporators; properties of moist air, psychrometric chart, basic psychometric processes.
Turbomachinery: Components of gas turbines; compression processes, centrifugal and axial flow compressors; axial flow turbines, elementary theory; hydraulic turbines; Euler-turbine equation; specific speed, Pelton-wheel, Francis and Kaplan turbines; centrifugal pumps.
MANUFACTURING AND INDUSTRIAL ENGINEERING
Engineering Materials: Structure and properties of engineering materials and their applications, heat treatment.
Metal Casting: Casting processes (expendable and non-expendable) -pattern, moulds and cores, heating and pouring, solidification and cooling, gating design, design considerations, defects.
Forming Processes: Stress-strain diagrams for ductile and brittle material, Plastic deformation and yield criteria, fundamentals of hot and cold working processes, Bulk metal forming processes (forging, rolling, extrusion, drawing), sheet metal working processes (punching, blanking, bending, deep drawing, coining, spinning, load estimation using homogeneous deformation methods, defects). processing of powder metals- atomization, compaction, sintering, secondary and finishing operations. forming and shaping of plastics- extrusion, injection moulding.
Joining Processes: Physics of welding, fusion and non-fusion welding processes, brazing and soldering, adhesive bonding, design considerations in welding, weld quality defects.
Machining and Machine Tool Operations: Mechanics of machining, single and multi-point cutting tools, tool geometry and materials, tool life and wear, cutting fluids, 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.
Computer Integrated Manufacturing: Basic concepts of CAD, CAM and their integration tools.
Manufacturing Analysis: Part-print analysis, tolerance analysis in manufacturing and assembly, time and cost analysis.
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
MN - MINING ENGINEERING
ENGINEERING MATHEMATICS:
Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green's theorems.
Diferential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs with constant coefficients; Cauchy's and Euler's equations; Laplace transforms; PDEs - Laplace, heat and wave equations.
Probability and Statistics: Mean, median, mode and standard deviation; Random variables; Poisson, normal and binomial distributions; Correlation and regression analysis.
Numerical Methods: Solutions of linear and non-linear algebraic equations; integration of trapezoidal and Simpson's rule; single and multi-step methods for differential equations.
MINING ENGINEERING
Mechanics: Equivalent force systems, equations of equilibrium, two dimensional frames and trusses, free body diagrams, friction forces, particle kinematics and dynamics.
Mine Development, Geomechanics and Strata Control: Drivages for underground mine development, drilling methods and machines, explosives, blasting devices and practices, shaft sinking. Physico-mechanical properties of rocks, rock mass classification, ground control instrumentation and stress measurement techniques, theories of rock failure, ground vibrations, stress distribution around mine openings, subsidence, design of supports in roadways and workings, stability of open pits, slopes.
Mining Methods and Machinery: Surface mining - layout, development, loading, transportation and mechanization, continuous surface mining systems. Underground coal mining - bord and pillar system, longwall mining, thick seam mining methods. Underground metal mining: different stoping methods, stope mechanization, ore handling systems, mine filling. Generation and transmission of mechanical, hydraulic, and pneumatic power. Materials handling - haulages, conveyors, ropeways, face and development machinery, hoisting systems, and pumps.
Ventilation, Underground Hazards and Surface Environment: Underground atmosphere, heat load sources and thermal environment, air cooling, mechanics of air flow distribution, natural and mechanical ventilation, mine fans and their usage, auxiliary ventilation. Subsurface hazards from fires, explosions, gases, dust, and inundation, rescue apparatus and practices, safety in mines, accident analysis, noise, mine lighting. Air and water pollution: causes, dispersion, quality standards, and control.
Surveying, Mine Planning and Systems Engineering: Fundamentals of engineering surveying, Levels and levelling, Theodolite, tacheometry, triangulation, contouring, errors and adjustments, correlation, underground surveying, curves, photogrammetry, field astronomy, GPS fundamentals. Principles of planning - Sampling methods and practices, reserve estimation techniques, basics of geostatistics, optimization of facility location, cash flow concepts and mine valuation, open pit design. Work study, concepts of reliability, reliability of series and parallel systems. Linear programming, transportation and assignment problems, queueing, network analysis, inventory control.
MT - METALLURGICAL ENGINEERING
ENGINEERING MATHEMATICS:
Linear Algebra: Matrices and Determinants, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Limit, continuity and differentiability; Partial Derivatives; Maxima and minima; Sequences and series; Test for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface and volume integrals; Stokes, Gauss and Green's theorems.
Diferential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs with constant coefficients; Cauchy's and Euler's equations; Laplace transforms; PDEs - Laplace, heat and wave equations.
Probability and Statistics: Mean, median, mode and standard deviation; Random variables; Poisson, normal and binomial distributions; Correlation and regression analysis.
Numerical Methods: Solutions of linear and non-linear algebraic equations; integration of trapezoidal and Simpson's rule; single and multi-step methods for differential equations.
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 processing; agglomeration, 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.
PH - PHYSICS
Mathematical Physics: Linear vector space, matrices; vector calculus; linear differential equations; elements of complex analysis; Laplace transforms, Fourier analysis, elementary ideas about tensors.
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; equation of motion, cyclic coordinates, 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; Coulomb and Lorentz gauges; 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; Particle in a box, 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; macrostates, phase space; probability 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.
PI - PRODUCTION AND INDUSTRIAL ENGINEERING
ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity and differentiability, Mean value theorems, Evaluation of definite and improper integrals, Partial derivatives, Total derivative, Maxima and minima, Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Cauchy's and Euler's equations, Initial and boundary value problems, Laplace transforms, Solutions of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy's integral theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule, single and multi-step methods for differential equations.
GENERAL ENGINEERING:
Engineering Materials: Structure and properties of engineering materials and their applications; effect of strain, strain rate and temperature on mechanical properties of metals and alloys; heat treatment of metals and alloys.
Applied Mechanics: Engineering mechanics - equivalent force systems, free body concepts, equations of equilibrium, virtual work and minimum potential energy; strength of materials- stress, strain and their relationship, Mohr's circle, deflection of beams, bending and shear stress, Euler's theory of columns.
Theory of Machines and Design: Analysis of planar mechanisms, plane cams and followers; governers and fly wheels; design of elements-failure theories; design of bolted, riveted and welded joints; design of shafts, keys, belt drives, brakes and clutches.
Thermal Engineering: Fluid machines - fluid statics, Bernoulli's equation, flow through pipes, equations of continuity and momentum; Thermodynamics - zeroth, First and Second laws of thermodynamics, thermodynamic system and processes, calculation of work and heat for systems and control volumes; Heat transfer - fundamentals of conduction, convection and radiation.
PRODUCTION ENGINEERING
Metal Casting: Casting processes; patterns-materials; allowances; moulds and cores - materials, making and testing; melting and founding of cast iron, steels and nonferrous metals and alloys; solidification; design of casting, gating and risering; casting defects and inspection.
Metal working: Stress-strain in elastic and plastic deformation; deformation mechanisms; hot and cold working-forging, rolling, extrusion, wire and tube drawing; sheet metal working; analysis of rolling, forging, extrusion and wire /rod drawing; metal working defects, high energy rate forming processes-explosive, magnetic, electro and electrohydraulic.
Metal Joining Processes: Welding processes - gas shielded metal arc, TIG, MIG, submerged arc, electroslag, thermit, resistance, pressure and forge welding; thermal cutting; other joining processes - soldering, brazing, braze welding; welding codes, welding symbols, design of welded joints, defects and inspection; introduction to modern welding processes - friction, ultrasonic, explosive, electron beam, laser and plasma.
Machining and Machine Tool Operations: Machining processes-turning, drilling, boring, milling, shaping, planing, sawing, gear cutting, thread production, broaching, grinding, lapping, honing super finishing; mechanics of cutting- Merchant's analysis, geometry of cutting tools, cutting forces, power requirements; selection of process parameters; tool materials, tool wear and tool life, cutting fluids, machinability; nontraditional machining processes and hybrid processes- EDM, CHM, ECM, USM, LBM, EBM, AJM, PAM AND WJM; economics of machining.
Metrology and Inspection: Limits and fits, linear and angular measurements by mechanical and optical methods, comparators; design of limit gauges; interferometry; measurement of straightness, flatness, roundness, squareness and symmetry; surface finish measurement; inspection of screw threads and gears; alignment testing.
Powder Metallurgy and Processing of Plastics: Production of powders, compaction, sintering; Polymers and composites; injection, compression and blow molding, extrusion, calendaring and thermoforming; molding of composites.
Tool Engineering: Work-holding-location and clamping; principles and methods; design of jigs and fixtures; design of press working tools, forging dies.
Manufacturing Analysis: Sources of errors in manufacturing; process capability; part-print analysis; tolerance analysis in manufacturing and assembly; process planning; parameter selection and comparison of production alternatives; time and cost analysis; Issues in choosing manufacturing technologies and strategies.
Computer Integrated Manufacturing: Basic concepts of CAD, CAM, CAPP, group technology, NC, CNC, DNC, FMS, Robotics and CIM.
INDUSTRIAL ENGINEERING
Product Design and Development: Principles of good product design, component and tolerance design; efficiency, quality and cost considerations; product life cycle; standardization, simplification, diversification, value analysis, concurrent engineering.
Engineering Economy and Costing: Financial statements; elementary cost accounting, methods of depreciation; break-even analysis, techniques for evaluation of capital investments.
Work System Design: Taylor's scientific management, Gilbreths's contributions; productivity concepts and measurements; method study, micro-motion study, principles of motion economy; human factors engineering, ergonomics; work measurement - time study, PMTS, work sampling; job evaluation, merit rating, wage administration, incentive systems; business process reengineering.
Logistics and Facility Design: Facility location factors, evaluation of alternatives, types of plant layout, evaluation; computer aided layout; assembly line balancing; material handling systems; supply chain management.
Production Planning and Inventory Control: Inventory Function costs, classifications - deterministic and probabilistic models; quantity discount; safety stock; inventory control system; Forecasting techniques - causal and time series models, moving average, exponential smoothing; trend and seasonality; aggregate production planning; master scheduling; bill of materials and material requirement planning; order control and flow control, routing, scheduling and priority dispatching; JIT; Kanban PULL systems; bottleneck scheduling and theory of constraints.
Operation Research: Linear programming - problem formulation, simplex method, duality and sensitivity analysis; transportation; assignment; network flow models, constrained optimization and Lagrange multipliers; simple queuing models; dynamic programming; simulation; PERT and CPM, time-cost trade-off, resource leveling.
Quality Control: Taguchi method; design of experiments; quality costs, statistical quality assurance, process control charts, acceptance sampling, zero defects; quality circles, total quality management.
Reliability and Maintenance: Reliability, availability and maintainability; probabilistic failure and repair times; system reliability; preventive maintenance and replacement, TPM.
Management Information System: Value of information; information storage and retrieval system - database and data structures; interactive systems; knowledge based systems.
Intellectual Property System: Definition of intellectual property, importance of IPR; TRIPS, and its implications, WIPO and Global IP structure, and IPS in India; patent, copyright, industrial design and trademark; meanings, rules and procedures, terms, infringements and remedies.
PY - PHARMACEUTICAL SCIENCES
Natural Products: Pharmacognosy & Phytochemistry - Chemistry, tests, isolation, characterization and estimation of phytopharmaceuticals belonging to the group of Alkaloids, Glycosides, Terpenoids, Steroids, Bioflavanoids, Purines, Guggul lipids. Pharmacognosy of crude drugs which contain the above constituents. Standardisation of raw materials and herbal products. WHO guide lines. Quantitative microscopy including modern techniques used for evaluation. Biotechnological principles and techniques for plant development Tissue culture.
Pharmacology: General pharmacological principles including Toxicology. Drug interaction. Pharmacology of drugs acting on Central nervous system, Cardiovascular system, Autonomic nervous system, Gastro intestinal system and Respiratory system. Pharmacology of Autocoids, Hormones, Chemotherapeutic agents including anticancer drugs. Bioassays. Immuno Pharmacology.
Medicinal Chemistry: Structure, nomenclature, classification, synthesis, SAR and metabolism of the following category of drugs which are official in Indian Pharmacopoeia and British Pharmacopoeia Hypnotics and Sedatives, Analgesics, NSAIDS, Neuroleptics, Antidepressants, Anxiolytics, Anticonvulsants, Antihistaminics, Local anaesthetics, Cardio Vascular drugs - Antianginal agents Vasodilators, Adrenergic & cholinergic drugs, Cardiotonic agents, Diuretics, Antihypertensive drugs, Hypoglycemic agents, Antilipedmic agents, Coagulants, Anticoagulants, Antiplatelet agents. Chemotherapeutic agents - Antibiotics, Antibacterials, Sulphadrugs. Antiproliozoal drugs, Antiviral, Antitubercular, Antimalarial, Anticancer, Antiamoebic drugs. Diagnostic agents. Preparation and storage and uses of official Radiopharmaceuticals. Vitamins and Hormones.
Pharmaceutics: Development, manufacturing standards, labeling, |
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