1. Chemical Engineering – CH
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. First law application to close and open systems. Second law and Entropy Thermodynamic properties of pure substances: equation of state and departure function, properties of mixtures: partial molar properties, fugacity, excess properties and activity coefficients; phase equilibria: predicting VLE of systems;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, flows 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 laws, 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,
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 distribution, single parameter model; 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, transfer functions responses of simple systems, process reaction curve, controller odes (P, PI, and PID); control valves; analysis of closed loop systemsincluding stability, frequency response and controller tuning, cascade, feedforward control.drying, humidification, dehumidification and adsorption.
Plant Design and Economics: Process design and sizing of chemicalengineering equipment such as compressors, heat exchangers, multistagecontactors; principles of process economics and cost estimation includingtotal 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 (Pulpand Paper, Sugar, Oil, and Fats); petroleum refining and petrochemicals;polymerization industries; polyethylene, polypropylene, PVC and polyestersynthetic fibers.
2. Computer Science and Engineering – CS
Theory of Computation: Regular languages and finite automata, Contextfree languages and Push-down automata, Recursively enumerable sets andTuring machines, Undecidability; NP-completeness.
Digital Logic: Logic functions, Minimization, Design and synthesis ofcombinational and sequential circuits; Number representation and computerarithmetic (fixed and floating point).
Computer Organization and Architecture: Machine instructions andaddressing modes, ALU and data-path, CPU control design, Memoryinterface, I/O interface (Interrupt and DMA mode), Instruction pipelining,Cache and main memory, Secondary storage.
Programming and Data Structures: Programming in C; Functions,Recursion, Parameter passing, Scope, Binding; Abstract data types, Arrays,Stacks, Queues, Linked Lists, Trees, Binary search trees, Binary heaps.
Algorithms: Analysis, Asymptotic notation, Notions of space and timecomplexity, Worst and average case analysis; Design: Greedy approach,Dynamic programming, Divide-and-conquer; Tree and graph traversals,Connected components, Spanning trees, shortest paths; Hashing, Sorting,Searching.
Compiler Design: Lexical analysis, Parsing, Syntax directed translation,Rntime environments, Intermediate and target code generation, Basics ofcode optimization.
Operating System: Processes, Threads, Inter-process communication,Concurrency, Synchronization,Deadlock, CPU scheduling, Memorymanagement and virtual memory, File systems, I/O systems, Protectionand security.
Databases: ER-model, Relational model (relational algebra, tuple calculus),Database design (integrity constraints, normal forms), Query languages(SQL), File structures (sequential files, indexing, B and B+ trees),Transactions and concurrency control.
Computer Networks: ISO/OSI stack, LAN technologies (Ethernet, Tokenring), Flow and error control techniques, Routing algorithms, Congestioncontrol, TCP/UDP and sockets, IP(v4), Application layer protocols(icmp, dns, smtp, pop, ftp, http); Basic concepts of hubs, switches,gateways, and routers.
3. Electronics and Communication Engineering – EC
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 andNorton’s maximum power transfer, Wye-Delta transformation. Steady statesinusoidal analysis using phasors. Linear constant coefficient differentialequations; time domain analysis of simple RLC circuits, Solution of networkequations using Laplace transform: frequency domain analysis of RLCcircuits. 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, andresistivity. Generation and recombination of carriers. p-n junctiondiode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED,p-I-n and avalanche photo diode, Basics of LASERs. Device technology:ntegrated circuits fabrication process, oxidation, diffusion, ionimplantation, photolithography, n-tub, p-tub and twin-tub CMOS process.
Analog Circuits: Small Signal Equivalent circuits of diodes, BJTs, MOSFETsand analog CMOS. Simple diode circuits, clipping, clamping, rectifier. Biasingand bias stability of transistor and FET amplifiers.Amplifiers: single-andmulti-stage, differential and operational, feedback, and power. Frequencyresponse of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators;criterion for oscillation; single-transistor and op-amp configurations.Function generators and wave-shaping circuits, 555 Timers. Power supplies.
Digital Circuits: Boolean algebra, minimization of Boolean functions; logicgates; digital IC families (DTL,TTL, ECL, MOS, CMOS). Combinatorialcircuits: arithmetic circuits, code converters, multiplexers, decoders,PROMs and PLAs. Sequential circuits: latches and flip-flops, counters andshift-registers. Sample and hold circuits, ADCs, DACs. Semiconductormemories. Microprocessor(8085): architecture, programming, memoryand I/O interfacing.
Signals and Systems: Definitions and properties of Laplace transform,continuous-time and discrete-time Fourier series, continuous-time anddiscrete-time Fourier Transform, DFT and FFT, z-transform. SamplingTheorem. Linear Time-Invariant (LTI) Systems: definitions and properties;causality, stability, impulse response, convolution, poles and zeros, paralleland cascade structure, frequency response, group delay, phase delay.Signal transmission through LTI systems.
Control Systems: Basic control system components; block diagrammaticdescription, reduction of block diagrams. Open loop and closed loopfeedback systems and stability analysis of these systems. Signal flowgraphs and their use in determining transfer functions of systems; transientand 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 stateequation of LTI control systems.
Communications: Random signals and noise: probability, randomvariables, probability density function,autocorrelation, power spectraldensity. Analog communication systems: amplitude and angle modulationand demodulation systems, spectral analysis of these operations,superheterodyne receivers; elements of hardware,realizations of analogcommunication systems; signal-to-noise ratio (SNR) calculations foramplitude modulation (AM) and frequency modulation (FM) for low noiseconditions. Fundamentals of information theory and channel capacitytheorem. Digital communication systems: pulse code modulation (PCM),differential pulse code modulation (DPCM), digital modulation schemes:amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK),matched filter receivers, bandwidth consideration and probability of errorcalculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.
Electromagnetics: Elements of vector calculus: divergence and curl;Gauss’ and Stokes’ theorems, Maxwell’s equations: differential and integralforms. Wave equation, Poynting vector. Plane waves: propagation throughvarious media; reflection and refraction; phase and group velocity; skindepth. Transmission lines: characteristic impedance; impedancetransformation; Smith chart; impedance matching; S parameters, pulseexcitation. Waveguides: modes in rectangular waveguides; boundaryconditions; cut-off frequencies; dispersion relations. Basics of propagation indielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas;radiation pattern; antenna gain.
4. Electrical Engineering – EE
Electric Circuits and Fields: twork graph, KCL, KVL, node and mesh analysis, transient response of dcand ac networks; sinusoidal steady-state analysis, resonance, basic filterconcepts; ideal current and voltage sources, Thevenin’s, Norton’s andSuperposition and Maximum Power Transfer theorems, two-port networks,three phase circuits; Gauss Theorem, electric field and potential due topoint, line, plane and spherical charge distributions; Ampere’s and Biot-Savart’s laws; inductance; dielectrics; capacitance.
Signals and Systems: Representation of continuous and discrete-timesignals; shifting and scaling operations;linear, time-invariant and causalsystems; Fourier series representation of continuous periodic signals;sampling theorem; Fourier, Laplace and Z transforms.
Electrical Machines: Single phase transformer – equivalent circuit, phasordiagram, tests, regulation and efficiency; three phase transformers -connections, parallel operation; auto-transformer; energy conversionprinciples; DC machines – types, windings, generator characteristics,armature reaction and commutation,starting and speed control of motors;three phase induction motors – principles, types, performancecharacteristics, starting and speed control; single phase induction motors;synchronous machines – performance,regulation and parallel operation ofgenerators, motor starting, characteristics and applications; servo andstepper motors.
Power Systems: Basic power generation concepts; transmission linemodels and performance; cable performance, insulation; corona and radiointerference; distribution systems; per-unit quantities; bus impedanceand admittance matrices; load flow; voltage control; power factorcorrection; economic operation; symmetrical components; fault analysis;principles of over-current, differential and distance protection; solid staterelays and digital protection; circuit breakers; system stability concepts,swing curves and equal area criterion; HVDC transmission and FACTSconcepts.
Control Systems: Principles of feedback; transfer function; block diagrams;steady-state errors; Routh and Niquist techniques; Bode plots; root loci; lag,lead and lead-lag compensation; state space model; state transition matrix,controllability and observability.
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, timeand frequency measurement; Q-meters;oscilloscopes; potentiometricrecorders; error analysis.
Analog and Digital Electronics: Characteristics of diodes, BJT, FET;amplifiers – biasing, equivalent circuit and frequency response; oscillatorsand feedback amplifiers; operational amplifiers – characteristics andapplications; simple active filters; VCOs and timers; combinational andsequential logic circuits; multiplexer;Schmitt trigger; multi-vibrators; sampleand hold circuits; A/D and D/A converters; 8-bit microprocessor basics,architecture, programming and interfacing.
Power Electronics and Drives: Semiconductor power diodes, transistors,thyristors, triacs, GTOs, MOSFETs and IGBTs – static characteristics andprinciples of operation; triggering circuits; phase control rectifiers; bridgeconverters – fully controlled and half controlled; principles of choppers andinverters; basis concepts of adjustable speed dc and ac drives.
5. Instrumentation Engineering- IN
Basics of Circuits and Measurement Systems:Kirchoff’s laws, mesh and nodal Analysis. Circuit theorems. One-port andtwo-port Network Functions. Static and dynamic characteristics ofMeasurement Systems. Errorand uncertainty analysis. Statistical analysis of data and curve fitting.
Transducers, Mechanical Measurement and Industrial
Resistive, Capacitive, Inductive and piezoelectric transducers and their signalconditioning. Measurement of displacement, velocity and acceleration(translational and rotational), force, torque, vibration and shock.Measurement of pressure, flow,temperature and liquid level. Measurement ofpH, conductivity, viscosity and humidity.
Analog Electronics:Characteristics of diode, BJT, JFET and MOSFET. Diode circuits. Transistorsat low and high frequencies, Amplifiers, single and multi-stage. Feedbackamplifiers. Operational amplifiers,characteristics and circuit configurations.Instrumentation amplifier. Precision rectifier. V-to-I and I-to-V converter.Op-Amp based active filters. Oscillators and signal generators.
Digital Electronics:Combinational logic circuits, minimization of Boolean functions. IC families,TTL, MOS and CMOS. Arithmetic circuits. Comparators, Schmitt trigger,timers and mono-stable multi-vibrator.Sequential circuits, flip-flops, counters, shift registers. Multiplexer, S/Hcircuit. Analog-to-Digital and Digitalto-Analog converters. Basics of numbersystem. Microprocessor applications, memory and input-output interfacing.Microcontrollers.
Signals, Systems and Communications:Periodic and aperiodic signals. Impulse response, transfer function andfrequency response of first- and second order systems. Convolution,correlation and characteristics of lineartime invariant systems. Discrete time system, impulse and frequencyresponse. Pulse transfer function. IIR and FIR filters. Amplitude andfrequency modulation and demodulation. Sampling theorem, pulsecodemodulation. Frequency and time division multiplexing. Amplitude shiftkeying, frequency shift keying and pulse shift keying for digital modulation.
Electrical and Electronic Measurements:Bridges and potentiometers, measurement of R,L and C. Measurements ofoltage, current, power, power factor and energy. A.C & D.C current probes.Extension of instrument ranges. Q-meter and waveform analyzer. Digitalvoltmeter and multi-meter. Time, phase and frequency measurements.Cathode ray oscilloscope. Serial and parallel communication. Shielding andgrounding.
Control Systems and Process Control:Feedback principles. Signal flow graphs. Transient Response, steadystateerrors.Routh and Nyquist criteria. Bode plot, root loci. Time delay systems.Phase and gain margin. Statespace representation of systems. Mechanical, hydraulic and pneumaticcomponents. Synchro pair, servo and step motors. On-off, cascade,P, P-I, P-I-D, feed forward and derivative controller, Fuzzy controllers.
Analytical, Optical and Biomedical Instrumentation:
Mass spectrometry. UV, visible and IR spectrometry. X-ray and nuclear radiation measurements. Optical sources and detectors, LED, laser, Photodiode, photo resistor and their characteristics. Interferometers, applications in metrology. Basics of fiber optics. Biomedical instruments, EEG, ECG and EMG. Clinical measurements. Ultrasonic transducers and Ultra sonography. Principles of Computer Assisted Tomography.
6. Mechanical Engineering – ME
Engineering Mechanics:Free body diagrams and equilibrium; trusses and frames; virtual work; kinematics and dynamics of particles and of rigid bodies in plane motion, including impulse and momentum (linear and angular) and energy formulations; impact.
Strength of Materials: Stress and strain, stress-strain relationship and elastic constants, Mohr’s circle for plane stress and plane strain, thin cylinders; shear force and bending moment diagrams; bending and shear stresses; deflection of beams; torsion of circular shafts; 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; gear trains; flywheels.
Vibrations: Free and forced vibration of single degree of freedom systems; effect of damping; vibration isolation; resonance, critical speeds of shafts.
Design: Design for static and dynamic loading; failure theories; fatigue strength and the S-N diagram principles of the design of machine elements such as bolted, riveted and welded joints, shafts, spur gears, rolling and sliding contact bearings, brakes and clutches.
Fluid Mechanics: Fluid properties; fluid statics, manometer, 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 througpipes; thermal boundary layer; effect of turbulence; radiative heat transfer,black and grey surfaces, shape factors, network analysis; heat exchangerperformance, LMTD and NTU methods.
Thermodynamics: Zeroth, First and Second laws of thermodynamics;thermodynamic system and processes;Carnot cycle. irreversibility andavailability; behaviour of ideal and real gases, properties of pure substances,calculation of work and heat in ideal processes; analysis of thermodynamiccycles related to energy conversion.
Applications: Power Engineering: Steam Tables, Rankine, Brayton cycleswith regeneration and reheat. I.C. Engines: air-standard Otto, Diesel cycles.Refrigeration and air-conditioning: Vapour refrigeration cycle, heatpumps, gas refrigeration, Reverse Brayton cycle; moist air: psychrometricchart, basic psychrometric processes. Turbomachinery: Pelton-wheel, Francisnd Kaplan turbines — impulse and reaction principles, velocity diagrams.
Engineering Materials: Structure and properties of engineering materials,heat treatment, stress-strain diagrams for engineering materials.
Metal Casting: Design of patterns, moulds and cores; solidification andcooling; riser and gating design, design considerations.
Forming: Plastic deformation and yield criteria; fundamentals of hot andcold working processes; load estimation for bulk (forging, rolling, extrusion,drawing) and sheet (shearing, deep drawing, bending) metalforming processes; principles of powder metallurgy.
Joining: Physics of welding, brazing and soldering; adhesive bonding;design considerations in welding.
Machining and Machine Tool Operations: Mechanics of machining, singleand multi-point cutting tools, tool geometry and materials, tool life andwear; economics of machining; principles of non-traditional machiningprocesses; principles of work holding, principles of design of jigs and fixtures
etrology and Inspection: Limits, fits and tolerances; linear and angular measurements; comparators; gauge design; interferometer; form and finish measurement; alignment and testing methods; tolerance analysis in manufacturing and assembly.
Computer Integrated Manufacturing: Basic concepts of CAD/CAM and their integration tools.
Production Planning and Control: Forecasting models, aggregate production planning, scheduling, materials requirement 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.