CE -
Civil Engineering
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,
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.
Mechanics: Bending moment and shear force 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 and shear
stresses, unsymmetrical bending, shear centre. Thin walled pressure vessels,
uniform torsion, buckling of column, combined and direct bending stresses.
Structural Analysis: Analysis of statically determinate trusses, arches,
beams, cables 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: Concrete Technology- properties of concrete, basics
of mix design. Concrete design- basic working stress and limit state design
concepts, analysis of ultimate load capacity and design of members subjected to
flexure, shear, compression and torsion by limit state methods. 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.
Soil Mechanics: Origin of soils, soil classification, three - phase
system, fundamental definitions, relationship and interrelationships,
permeability and seepage, effective stress principle, consolidation,
compaction, shear strength.
Foundation Engineering: Sub-surface investigations- scope, drilling bore
holes, sampling, penetration 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, negative skin friction.
Fluid Mechanics and Hydraulics: Properties of fluids, principle of conservation of
mass, momentum, energy and corresponding equations, potential flow,
applications of momentum and Bernoulli?s equation,
laminar and turbulent flow, 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
measurements in channels, tanks and pipes. Dimensional
analysis and hydraulic modeling. Kinematics of flow, velocity triangles and specific speed of
pumps and turbines.
Hydrology: Hydrologic cycle, rainfall, evaporation,
infiltration, stage discharge relationships, unit hydrographs, flood
estimation, reservoir capacity, 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 spillways. Design
of weirs on permeable foundation. Types of irrigation
system, irrigation methods. Water logging and
drainage, sodic soils.
Water requirements: Quality standards, basic unit processes and
operations for water treatment. Drinking water
standards, water requirements, basic unit operations and unit processes for
surface water treatment, distribution of water. Sewage
and sewerage treatment, quantity and characteristics of wastewater.
Primary, secondary and tertiary treatment of wastewater, sludge disposal,
effluent discharge standards. Domestic
wastewater treatment, quantity of characteristics of domestic wastewater,
primary and secondary treatment Unit operations and unit processes of domestic
wastewater, sludge disposal.
Air Pollution: Types of pollutants, their sources and
impacts, air pollution meteorology, air pollution control, air quality
standards and limits.
Municipal Solid Wastes: Characteristics, generation, collection and transportation of
solid wastes, engineered systems for solid waste management (reuse/ recycle, energy recovery, treatment and disposal).
Noise Pollution: Impacts of noise, permissible limits of
noise pollution, measurement of noise and control of noise pollution.
Highway Planning: Geometric design of highways, testing and
specifications of paving materials, design of flexible and rigid pavements.
Traffic Engineering: Traffic characteristics, theory of traffic flow,
intersection design, traffic signs and signal design, highway capacity.
Importance of surveying,
principles and classifications, mapping concepts, coordinate system, map
projections, measurements of distance and directions, leveling, theodolite traversing, plane table surveying, errors and
adjustments, curves.
ME -
Mechanical Engineering
Linear Algebra: Matrix algebra, Systems of linear equations, Eigen values and eigen
vectors.
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,
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.
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,
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; Carnot
cycle. 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.
Applications: Power Engineering: Steam Tables, Rankine, Brayton cycles with
regeneration and reheat. I.C. Engines: air-standard Otto, Diesel cycles.
Refrigeration and air-conditioning: Vapour
refrigeration cycle, heat pumps, gas refrigeration, Reverse Brayton
cycle; moist air: psychrometric chart, basic psychrometric processes. Turbomachinery:
Pelton-wheel, Francis and 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
and cooling; riser and gating design, design considerations.
Forming: Plastic deformation and yield criteria; fundamentals
of hot and cold working processes; load estimation for bulk (forging, rolling,
extrusion, drawing) and sheet (shearing, deep drawing,
bending) metal forming 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, single and multi-point
cutting tools, tool geometry and materials, tool life and wear; economics of
machining; principles of non-traditional machining processes; principles of
work holding, principles of design of jigs and fixtures
Metrology and Inspection: Limits, fits and tolerances; linear and angular
measurements; comparators; gauge design; interferometry;
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.
EC - Electronics and Communication Engineering
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,
Probability and Statistics: Sampling theorems, Conditional probability, Mean,
median, mode and standard deviation, Random variables, Discrete and continuous
distributions, Poisson,
Numerical Methods: Solutions of non-linear algebraic equations, single
and multi-step methods for differential equations.
Transform Theory: Fourier transform,
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
Electronic Devices: Energy bands in silicon, intrinsic and extrinsic
silicon. Carrier transport in silicon: diffusion current, drift current,
mobility, and 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, Basics of LASERs. Device technology: integrated circuits fabrication
process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub
and twin-tub CMOS process.
Analog Circuits: Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS.
Simple diode circuits, clipping, clamping, rectifier. Biasing
and bias stability of transistor and FET amplifiers. Amplifiers:
single-and multi-stage, differential and operational, feedback, and power. 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, 555
Timers. Power supplies.
Digital circuits: Boolean algebra, minimization of Boolean functions;
logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial
circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. 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
Control 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: Random signals and noise: probability, random
variables, probability density function, autocorrelation, power spectral
density. 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. Fundamentals of information theory and
channel capacity theorem. 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 error
calculations 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 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; S parameters, pulse excitation. Waveguides: modes in
rectangular waveguides; boundary conditions; cut-off frequencies; dispersion
relations. Basics of propagation in dielectric waveguide and
optical fibers. Basics of Antennas: Dipole antennas; radiation pattern;
antenna gain.
EE -
Electrical Engineering
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,
Probability and Statistics: Sampling theorems, Conditional probability, Mean,
median, mode and standard deviation, Random variables, Discrete and continuous
distributions, Poisson,
Numerical Methods: Solutions of non-linear algebraic equations, single
and multi-step methods for differential equations.
Transform Theory: Fourier transform,
Electric Circuits and Fields: Network graph, KCL, KVL, node and mesh analysis,
transient response of dc and ac networks; sinusoidal steady-state analysis,
resonance, basic filter concepts; ideal current and voltage sources, Thevenin?s, Norton?s and
Superposition and Maximum Power Transfer theorems, two-port networks, three
phase circuits; Gauss Theorem, electric field and potential due to point, line,
plane and spherical charge distributions; Ampere?s
and Biot-Savart?s laws; inductance; dielectrics;
capacitance.
Signals and Systems: Representation of continuous and discrete-time
signals; shifting and scaling operations; linear, time-invariant and causal
systems; Fourier series representation of continuous periodic signals; sampling
theorem; Fourier, Laplace and Z transforms.
Electrical Machines: Single phase transformer - equivalent circuit, phasor diagram, tests, regulation and efficiency; three
phase transformers - connections, parallel operation; auto-transformer; energy
conversion principles; DC machines - types, windings, generator
characteristics, armature reaction and commutation, starting and speed control
of motors; three phase induction motors - principles, types, performance
characteristics, starting and speed control; single phase induction motors;
synchronous machines - performance, regulation and parallel operation of
generators, motor starting, characteristics and applications; servo and stepper
motors.
Power Systems: Basic power generation concepts; transmission line
models and performance; cable performance, insulation; corona and radio
interference; distribution systems; per-unit quantities; bus impedance and
admittance matrices; load flow; voltage control; power factor correction;
economic operation; symmetrical components; fault analysis; principles of
over-current, differential and distance protection; solid state relays and
digital protection; circuit breakers; system stability concepts, swing curves
and equal area criterion; HVDC transmission and FACTS concepts.
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, time and frequency measurement;
Q-meters; oscilloscopes; potentiometric recorders;
error analysis.
Analog and Digital Electronics: Characteristics of diodes, BJT, FET; 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; multi-vibrators;
sample and 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 and principles of operation;
triggering circuits; phase control rectifiers; bridge converters - fully
controlled and half controlled; principles of choppers and inverters; basis
concepts of adjustable speed dc and ac drives.
CS -
Computer Science and Engineering
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: Regular languages and finite automata,
Context free languages and Push-down automata, Recursively enumerable sets and
Turing machines, Undecidability; NP-completeness.
Digital Logic: Logic functions, Minimization, Design and
synthesis of combinational and sequential circuits; Number representation and
computer arithmetic (fixed and floating point).
Computer Organization and
Architecture: Machine
instructions and addressing modes, ALU and data-path, CPU control design,
Memory interface, 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 time complexity, 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, Runtime environments, Intermediate and target code
generation, Basics of code optimization.
Operating System: Processes, Threads, Inter-process
communication, Concurrency, Synchronization, Deadlock, CPU scheduling, Memory
management and virtual memory, File systems, I/O systems, Protection and
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, Token ring), Flow and error control techniques, Routing algorithms,
Congestion control, TCP/UDP and sockets, IP(v4), Application layer protocols (icmp, dns, smtp,
pop, ftp, http); Basic concepts of hubs, switches, gateways, and routers.
IT -
Information Technology
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.
Regular Languages: finite automata, regular expressions,
regular grammar.
Context free languages: push down automata, context free grammars
Digital Logic: Logic functions, minimization, design and
synthesis of combinatorial 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 microprogrammed
control, memory interface, I/O interface (interrupt and DMA mode), serial
communication interface, instruction pipelining, cache, main and secondary
storage
Data structures and Algorithms: the notion of abstract data types, stack,
queue, list, set, string, tree, binary search tree, heap, graph, tree and graph
traversals, connected components, spanning trees, shortest paths, hashing,
sorting, searching, design techniques (greedy, dynamic, divide and conquer,
Algorithm design by induction), asymptotic analysis (best, worst, average
cases) of time and space, upper and lower bounds, Basic concepts of complexity classes ? P, NP, NP-hard, NP-complete.
Programming Methodology: Scope, binding, parameter passing,
recursion, C programming ? data types and
declarations, assignment and control flow statements, 1-d and 2-d arrays,
functions, pointers, concepts of object-oriented programming - classes,
objects, inheritance, polymorphism, operator overloading.
Operating Systems (in the context of Unix): classical
concepts (concurrency, synchronization, deadlock), processes, threads and interprocess communication, CPU scheduling, memory
management, file systems, I/O systems, protection and security, shell
programming.
Information Systems and Software
Engineering: information
gathering, requirement and feasibility analysis, data flow diagrams, process
specifications, input/output design, process life cycle, planning and managing
the project, design, coding, testing, implementation, maintenance.
Databases: E-R diagrams, relational model, database
design, integrity constraints, normal forms, query languages (SQL), file
structures (sequential, indexed), b-trees, transaction and concurrency control.
Data Communication and Networks: ISO/OSI stack, transmission media, data encoding,
multiplexing, flow and error control, LAN technologies (Ethernet, token ring),
network devices ? switches, gateways,
routers, ICMP, application layer protocols ? SMTP, POP3, HTTP, DNS, FTP,
Telnet, network security ? basic
concepts of public key and private key cryptography, digital signature,
firewalls
Web technologies: Proxy, HTML, XML, basic concepts of cgi-bin programming.
PI
- Production and Industrial Engineering
Linear Algebra: Matrix
algebra, Systems of linear equations, Eigen values
and eigen vectors.
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,
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.
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, its influence on mechanical properties.
Applied Mechanics: Engineering mechanics - equivalent force systems,
free body concepts, equations of equilibrium; 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, cams and followers; governers and fly wheels; design of elements - failure
theories; design of bolted, riveted and welded joints; design of shafts, keys,
spur gears, belt drives, brakes and clutches.
Thermal Engineering: Fluid mechanics - fluid statics,
Bernoulli?s equation, flow through pipes, equations
of continuity and momentum; thermodynamics - zeroth,
first and second law of thermodynamics, thermodynamic system and processes,
calculation of work and heat for systems and control volumes; air standard
cycles; basics of internal combustion engines and steam turbines; heat transfer
- fundamentals of conduction, convection and radiation, heat exchangers.
Metal Casting: Casting processes - types and applications; patterns
- types and materials; allowances; moulds and cores - materials, making, and
testing; casting techniques of cast iron, steels and nonferrous metals and
alloys; solidification; design of casting, gating and risering;
casting inspection, defects and remedies.
Metal Forming: Stress-strain relations in elastic and plastic
deformation; concept of flow stress, deformation mechanisms; hot and cold
working - forging, rolling, extrusion, wire and tube drawing; sheet metal
working processes such as blanking, piercing, bending, deep drawing, coining
and embossing; analysis of rolling, forging, extrusion and wire /rod drawing;
metal working defects.
Metal Joining Processes: Welding processes - manual metal arc, MIG, TIG,
plasma arc, submerged arc, electroslag, thermit, resistance, forge, friction, and explosive welding;other joining processes - soldering, brazing, braze
welding; inspection of welded joints, defects and remedies; introduction to
advanced welding processes - ultrasonic, electron beam, laser beam; thermal
cutting.
Machining and Machine Tool Operations: Basic machine tools; machining processes-turning,
drilling, boring, milling, shaping, planing, gear
cutting, thread production, broaching, grinding, lapping, honing, super
finishing; mechanics of machining - geometry of cutting tools, chip formation,
cutting forces and power requirements, Merchant?s
analysis; selection of machining parameters; tool materials, tool wear and tool
life, economics of machining, thermal aspects of machining, cutting fluids, machinability; principles and applications of
nontraditional machining processes - USM, AJM, WJM, EDM and Wire cut EDM, LBM,
EBM, PAM, CHM, ECM.
Tool Engineering: Jigs and fixtures - principles, applications, and
design; press tools - configuration, design of die and punch; principles of
forging die design.
Metrology and Inspection: Limits, fits, and tolerances, interchangeability,
selective assembly; 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 of machine tools.
Powder Metallurgy: Production of metal powders, compaction and
sintering.
Polymers and Composites: Introduction to polymers and composites; plastic
processing - injection, compression and blow molding, extrusion, calendaring
and thermoforming; molding of composites.
Manufacturing Analysis: Sources of errors in manufacturing; process
capability; tolerance analysis in manufacturing and assembly; process planning;
parameter selection and comparison of production alternatives; time and cost
analysis; manufacturing technologies - strategies and selection.
Computer Integrated Manufacturing: Basic concepts of CAD,
Product Design and Development: Principles of good product design, tolerance design;
quality and cost considerations; product life
cycle; standardization, simplification, diversification, value engineering and
analysis, concurrent engineering.
Engineering Economy and Costing: Elementary cost accounting and methods of
depreciation; break-even analysis, techniques for evaluation of capital
investments, financial statements.
Work System Design: Taylor?s scientific
management, Gilbreths?s contributions; productivity -
concepts and measurements; method study, micro-motion study, principles of motion
economy; work measurement - stop watch time study, work sampling, standard
data, PMTS; ergonomics; job evaluation, merit rating, incentive schemes, and
wage administration; business process reengineering.
Facility Design: Facility location factors and evaluation of
alternate locations; types of plant layout and their evaluation; computer aided
layout design techniques; assembly line balancing; materials handling systems.
Production Planning and Inventory
Control: Forecasting techniques -
causal and time series models, moving average, exponential smoothing, trend and
seasonality; aggregate production planning; master production scheduling; MRP
and MRP-II; order control and flow control; routing, scheduling and priority
dispatching; push and pull production systems, concept of JIT manufacturing
system; logistics, distribution, and supply chain management; Inventory -
functions, costs, classifications, deterministic and probabilistic inventory
models, quantity discount; perpetual and periodic inventory control systems.
Operation Research: Linear programming - problem formulation, simplex
method, duality and sensitivity analysis; transportation and assignment models;
network flow models, constrained optimization and Lagrange multipliers; simple
queuing models; dynamic programming; simulation - manufacturing applications;
PERT and CPM, time-cost trade-off, resource leveling.
Quality Management: Quality - concept and costs, quality circles,
quality assurance; statistical quality control, acceptance sampling, zero
defects, six sigma; total quality management; ISO 9000; design of experiments -
Taguchi method.
Reliability and Maintenance: Reliability, availability and maintainability;
distribution of failure and repair times; determination of MTBF and MTTR,
reliability models; system reliability determination; preventive maintenance
and replacement, total productive maintenance - concept and applications.
Management Information System: Value of information; information storage and
retrieval system - database and data structures; knowledge based systems.
Intellectual Property System: Definition of intellectual property,
importance of IPR; TRIPS and its implications, patent, copyright, industrial
design and trademark.
IN -
Instrumentation Engineering
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,
Probability and Statistics: Sampling theorems, Conditional probability, Mean,
median, mode and standard deviation, Random variables, Discrete and continuous
distributions, Poisson,
Numerical Methods: Solutions of non-linear algebraic equations, single
and multi-step methods for differential equations.
Transform Theory: Fourier transform,
Basics of Circuits and Measurement
Systems: Kirchoff?s laws, mesh and nodal Analysis. Circuit
theorems. One-port and two-port Network Functions. Static
and dynamic characteristics of Measurement Systems. Error
and uncertainty analysis. Statistical analysis of data
and curve fitting.
Transducers, Mechanical Measurement and
Industrial Instrumentation:
Resistive, Capacitive, Inductive and piezoelectric transducers and their signal
conditioning. Measurement of displacement, velocity and
acceleration (translational and rotational), force, torque, vibration and
shock. Measurement of pressure, flow, temperature and
liquid level. Measurement of pH, conductivity,
viscosity and humidity.
Analog Electronics: Characteristics of diode, BJT, JFET and MOSFET. Diode circuits. Transistors at low and
high frequencies, Amplifiers, single and multi-stage. Feedback
amplifiers. 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/H circuit. Analog-to-Digital and Digital-to-Analog converters. Basics of number system. Microprocessor
applications, memory and input-output interfacing. Microcontrollers.
Signals, Systems and Communications: Periodic and aperiodic
signals. Impulse response, transfer function and frequency
response of first- and second order systems. Convolution,
correlation and characteristics of linear time invariant systems. Discrete time system, impulse and frequency response. Pulse
transfer function. IIR and FIR filters. Amplitude and
frequency modulation and demodulation. Sampling
theorem, pulse code modulation. Frequency and time
division multiplexing. Amplitude shift keying, frequency shift keying
and pulse shift keying for digital modulation.
Electrical and Electronic Measurements: Bridges and potentiometers, measurement of R,L and C. Measurements of voltage, current, power, power
factor and energy. A.C & D.C current probes.
Extension of instrument ranges. Q-meter and waveform
analyzer. Digital voltmeter and multi-meter. Time, phase and frequency measurements. Cathode
ray oscilloscope. Serial and parallel communication.
Shielding and grounding.
Control Systems and Process Control: Feedback principles. Signal flow graphs. Transient Response, steady-state-errors. Routh and Nyquist
criteria. Bode plot, root loci. Time delay systems.
Phase and gain margin. State space
representation of systems. Mechanical, hydraulic and
pneumatic system components. 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, Photo-diode, photo-resistor and their characteristics.
Interferometers, applications in metrology. Basics of fiber optics. Biomedical instruments, EEG, ECG and
EMG. Clinical measurements. Ultrasonic
transducers and Ultrasonography. Principles of
Computer Assisted Tomography.