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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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, packing as per the
pharmacopoeal requirements, Storage of
different dosage forms and new drug delivery
systems. Biopharmaceutics and
Pharmacokinetics and their importance in
formulation. Formulation and preparation of
cosmetics - lipstick, shampoo, creams, nail
preparations and dentifrices. Pharmaceutical
calculations.

Pharmaceutical Jurisprudence: Legal aspects
of manufacture, storage, sale of drugs. D
and C act and rules. Pharmacy act.

Pharmaceutical Analysis: Principles,
instrumentation and applications of the
following. Absorption spectroscopy (UV,
visible & IR), Fluorimetry, Flame
photometry, Potentiometry, Conductometry and
Plarography. Pharmacopoeial assays.
Principles of NMR, ESR, Mass spectroscopy,
X-ray diffraction analysis and different
chromatographic methods.

Biochemistry and Clinical Pharmacy:
Biochemical role of hormones, Vitamins,
Enzymes, Nucleic acids. Bioenergetics.
General principles of immunology.
Immunological techniques. Adverse drug
interaction.

Microbiology: Principles and methods of
microbiological assays of the Pharmacopoeia.
Methods of preparation of official sera and
vaccines. Serological and diagnostic tests.
Applications of microorganisms in Bio
Conversions and in Pharmaceutical industry.

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.

TEXTILE ENGINEERING & FIBRE SCIENCE

Textile Fibres: Classification of textile
fibres according to their nature and origin;
general characteristics of textile fibres-their
chemical and physical structures and their
properties; essential characteristics of
fibre forming polymers; uses of natural and
man-made fibres; physical and chemical
methods of fibre and blend identification
and blend analysis.

Melt Spinning processes with special
reference to polyamide and polyester fibres;
wet and dry spinning of viscose and acrylic
fibres; post spinning operations-drawing,
heat setting, texturing- false twist and
air-jet, tow-to-top conversion. Methods of
investigating fibre structure e.g. X-ray
diffraction, birefringence, optical and
electron microscopy, I.R. absorption,
thermal methods; structure and morphology
and principal natural and man-made fibres,
mechanical properties of fibres, moisture
sorption in fibres; fibre structure and
property correlation.

Textile Testing: Sampling techniques, sample
size and sampling errors; measurement of
fibre length, fineness, crimp, strength and
reflectance; measurement of cotton fibre
maturity ad trash content; HVI and AFIS for
fibre testing. Measurement of yarn count,
twist and hairiness; tensile testing of
fibres, yarn and fabrics; evenness testing
of slivers, rovings and yarns; testing
equipment for measurement test methods of
fabric properties like thickness,
compressibility, air permeability, drape,
crease recovery, tear strength bursting
strength and abrasion resistance.
Correlation analysis, significance tests and
analysis of variance; frequency
distributions and control charts.

Yarn Manufacture and Yarn Structure: Modern
methods of opening, cleaning and blending of
fibrous materials; the technology of carding
with particular reference to modern
developments; causes of irregularity
introduced by drafting, the development of
modern drafting systems; principles and
techniques of preparing material for
combing; recent development in combers;
functions and synchronization of various
mechanisms concerned with roving production;
forces acting on yarn and traveller, ring
and traveller designs; causes of end
breakages; properties of doubles yarns; new
methods of yarn production such as rotor
spinning, air jet spinning and friction
spinning.

Yarn diameter; specific volume, packing
coefficient; twist-strength relationship;
fibre orientation in yarn; fibre migration.

Fabric Manufacture and Fabric Structure:
Principles of cheese and cone winding
processes and machines; random and precision
winding; package faults and their remedies;
yarn clearers and tensioners; different
systems of yarn splicing; features of modern
cone winding machines; different types of
warping creels; features of modern beam and
sectional warping machines; different sizing
systems, sizing of spun and filament yarns,
modern sizing machines; principles of pirn
winding processes and machines; primary and
secondary motions of loom, effect of their
settings and timings on fabric formation,
fabric appearance and weaving performance;
dobby and jacquard shedding; mechanics of
weft insertion with shuttle; warp and weft
stop motions, warp protection, weft
replenishment; functional principles of weft
insertion systems of shuttleless weaving
machines, principles of multiphase and
circular looms. Principles of weft and warp
knitting; basic weft and warp knitted
structures; classification, production and
areas of application of nonwoven fabrics.

Basic woven fabric constructions and their
derivatives; crepe, cord, terry, gauze, lino
and double cloth constructions.

Peirce's equations for fabric geometry;
thickness, cover and maximum sett of woven
fabrics

Textile Chemical Processing: Preparatory
processes for natural-and and their blends;
mercerization of cotton; machines for yarn
and fabric mercerization.

Dyeing and printing of natural- and
synthetic- fibre fabrics and their blends
with different dye classes; dyeing and
printing machines; styles of printing;
fastness properties of dyed and printed
textile materials.

Finishing of textile materials, wash and
wear, durable press, soil release, water
repellent, flame retardant and antistatic
finishes; shrink-resistance finish for wool;
heat setting of synthetic-fibre fabrics,
finishing machines; energy efficient
processes; pollution control.

The syllabi of the sections of this paper
are as follows:

SECTION A. ENGINEERING MATHEMATICS
(Compulsory)

Linear Algebra : Determinates, algebra of
matrices, rank, inverse, system of linear
equations, symmetric, skew-symmetric and
orthogonal matrices. Hermitian, skew-hermitian
and unitary matrices. eigenvalues and
eigenvectors, diagonalisation of matrices,
Cayley-Hamiltonian, quadratic forms.

Calculus : Functions of single variables,
limit, continuity and differentiability,
Mean value theorems, Intermediate forms and
L'Hospital rule, Maxima and minima, Taylor's
series, Fundamental and mean value-theorems
of integral calculus. Evaluation of definite
and improper integrals, Beta and Gamma
functions, Functions of two variables,
limit, continuity, partial derivatives,
Euler's theorem for homogeneous functions,
total derivatives, maxima and minima,
Lagrange method of multipliers, double and
triple integrals and their applications,
sequence and series, tests for convergence,
power series, Fourier Series, Fourier
integrals.

Complex variable: Analytic functions,
Cauchy's integral theorem and integral
formula without proof. Taylor's and Laurent'
series, Residue theorem (without proof) with
application to the evaluation of real
integarls.

Vector Calculus: Gradient, divergence and
curl, vector identities, directional
derivatives, line, surface and volume
integrals, Stokes, Gauss and Green's
theorems (without proofs) with applications.

Ordinary Differential Equations: First order
equation (linear and nonlinear), higher
order linear differential equations with
constant coefficients, method of variation
of paramaters, Cauchy's and Euler's
equations, initial and boundary value
problems, power series solutions, Legendre
polynomials and Bessel's functions of the
first kind.

Partial Differential Equations: Variables
separable method, solutions of one
dimensional heat, wave and Laplace
equations.

Probability and Statistics: Definitions of
probability and simple theorems, conditional
probability, mean, mode and standard
deviation, random variables, discrete and
continuous distributions, Poisson, normal
and Binomial distribution, correlation and
regression

Numerical Methods: L-U decomposition for
systems of linear equations,Newton-Raphson
method, numerical integration(trapezoidal
and Simpson's rule), numerical methods for
first order differential equation (Euler
method)

SECTION B. COMPUTATIONAL SCIENCE

Numerical Methods: Truncation errors, round
off errors and their propagation;
Interpolation; Lagrange, Newton's forward,
backward and divided difference formulas,
least square curve fitting, solution of
non-linear equations of one variables using
bisection, false position, secant and Newton
Raphson methods; Rate of convergence of
these methods, general iterative methods.
Simple and multiple roots of polynomials.
Solutions of system of linear algebraic
equations using Gauss elimination methods,
Jacobi and Gauss-Seidel iterative methods
and their rate of convergence; ill
conditioned and well conditioned system.
eigen values and eigen vectors using power
methods. Numerical integration using
trapezoidal, Simpson's rule and other
quadrature formulas. Numerical
Differentiation. Solution of boundary value
problems. Solution of initial value problems
of ordinary differential equations using
Euler's method, predictor corrector and
Runge Kutta method.

Programming : Elementary concepts and
terminology of a computer system and system
software, Fortran77 and C programming.

Fortran : Program organization, arithmetic
statements, transfer of control, Do loops,
subscripted variables, functions and
subroutines.

C language : Basic data types and
declarations, flow of control- iterative
statement, conditional statement,
unconditional branching, arrays, functions
and procedures.

SECTION C. ELECTRICAL SCIENCES

Electric Circuits: Ideal voltage and current
sources; RLC circuits, steady state and
transient analysis of DC circuits, network
theorems; alternating currents and voltages,
single-phase AC circuits, resonance;
three-phase circuits.

Magnetic circuits: Mmf and flux, and their
relationship with voltage and current;
transformer, equivalent circuit of a
practical transformer, three-phase
transformer connections.

Electrical machines: Principle of operation,
characteristics, efficiency and regulation
of DC and synchronous machines; equivalent
circuit and performance of three-phase and
single-phase induction motors.

Electronic Circuits: Characteristics of p-n
junction diodes, zener diodes, bipolar
junction transistors (BJT) and junction
field effect transistors (JFET); MOSFET's
structure, characteristics, and operations;
rectifiers, filters, and regulated power
supplies; biasing circuits, different
configurations of transistor amplifiers,
class A, B and C of power amplifiers; linear
applications of operational amplifiers;
oscillators; tuned and phase shift types.

Digital circuits: Number systems, Boolean
algebra; logic gates, combinational
circuits, flip-flops (RS, JK, D and T)
counters.

Measuring instruments: Moving coil, moving
iron, and dynamometer type instruments;
shunts, instrument transformers, cathode ray
oscilloscopes; D/A and A/D converters.

SECTION D. FLUID MECHANICS

Fluid Properties: Relation between stress
and strain rate for Newtonian fluids

Hydrostatics, buoyancy, manometry

Concept of local and convective
accelerations; control volume analysis for
mass, momentum and energy conservation.

Differential equations of continuity and
momentum (Euler's equation of motion);
concept of fluid rotation, stream function,
potential function; Bernoulli's equation and
its applications.

Qualitative ideas of boundary layers and its
separation; streamlined and bluff bodies;
drag and lift forces.

Fully-developed pipe flow; laminar and
turbulent flows; friction factor; Darcy
Weisbach relation; Moody's friction chart;
losses in pipe fittings; flow measurements
using venturimeter and orifice plates.

Dimensional analysis; similitude and concept
of dynamic similarity; importance of
dimensionless numbers in model studies.

SECTION E. MATERIALS SCIENCE

Atomic structure and bonding in materials:
metals, ceramics and polymers.

Structure of materials: Crystal systems,
unit cells and space lattice; determination
of structures of simple crystals by X-ray
diffraction; Miller indices for planes and
directions. Packing geometry in metallic,
ionic and covalent solids.

Concept of amorphous, single and
polycrystalline structures and their effects
on properties of materials.

Imperfections in crystalline solids and
their role in influencing various
properties.

Fick´s laws of diffusion and applications
of diffusion in sintering, doping of
semiconductors and surface hardening of
metals.

Alloys: solid solution and solubility limit.
Binary phase diagram, intermediate phases
and intermetallic compounds; iron-iron
carbide phase diagram. Phase transformation
in steels. Cold and hot working of metals,
recovery, recrystallization and grain
growth.

Properties and applications of ferrous and
nonferrous alloys.

Structure, properties, processing and
applications of traditional and advanced
ceramics.

Polymers: classification, polymerization,
structure and properties, additives for
polymer products, processing and
application.

Composites: properties and application of
various composites.

Corrosion and environmental degradation of
materials (metals, ceramics and polymers).

Mechanical properties of materials:
Stress-strain diagrams of metallic, ceramic
and polymeric materials, modulus of
elasticity, yield strength, plastic
deformation and toughness, tensile strength
and elongation at break; viscoelasticity,
hardness, impact strength. ductile and
brittle fracture. creep and fatigue
properties of materials.

Heat capacity, thermal conductivity, thermal
expansion of materials.

Concept of energy band diagram for
materials; conductors, semiconductors and
insulators in terms of energy bands.
Electrical conductivity, effect of
temperature on conductivity in materials,
intrinsic and extrinsic semiconductors,
dielectric properties of materials.

Refraction, reflection, absorption and
transmission of electromagnetic radiation in
solids.

Origin of magnetism in metallic and ceramic
materials, paramagnetism, diamagnetism,
antiferromagnetism, ferromagnetism,
ferrimagnetism in materials and magnetic
hysteresis.

Advanced materials: Smart materials
exhibiting ferroelectric, piezoelectric,
optoelectronic, semiconducting behaviour;
lasers and optical fibers; photoconductivity
and superconductivity in materials.

SECTION F. SOLID MECHANICS

Equivalent force systems; free-body
diagrams; equilibrium equations; analysis of
determinate and indeterminate trusses and
frames; friction.

Simple relative motion of particles; force
as function of position, time and speed;
force acting on a body in motion; laws of
motion; law of conservation of energy; law
of conservation of momentum

Stresses and strains; principal stresses and
strains; Mohr's circle; generalized Hooke's
Law; equilibrium equations; compatibility
conditions; yield criteria.

Axial, shear and bending moment diagrams;
axial, shear and bending stresses;
deflection (for symmetric bending); torsion
in circular shafts; thin cylinders; energy
methods (Castigliano's Theorems); Euler
buckling.

SECTION G. THERMODYNAMICS

Basic Concepts: Continuum, macroscopic
approach, thermodynamic system (closed and
open or control volume); thermodynamic
properties and equilibrium; state of a
system, state diagram, path and process;
different modes of work; Zeroth law of
thermodynamics; concept of temperature;
heat.

First Law of Thermodynamics: Energy,
enthalpy, specific heats, first law applied
to systems and control volumes, steady and
unsteady flow analysis.

Second Law of Thermodynamics: Kelvin-Planck
and Clausius statements, reversible and
irreversible processes, Carnot theorems,
thermodynamic temperature scale, Clausius
inequality and concept of entropy, principle
of increase of entropy; availability and
irreversibility.

Properties of Pure Substances: Thermodynamic
properties of pure substances in solid,
liquid and vapour phases, P-V-T behaviour of
simple compressible substances, phase rule,
thermodynamic property tables and charts,
ideal and real gases, equations of state,
compressibility chart.

Thermodynamic Relations: T-ds relations,
Maxwell equations, Joule-Thomson
coefficient, coefficient of volume
expansion, adiabatic and isothermal
compressibilities, Clapeyron equation.

Ideal Gas Mixtures: Dalton's and Amagat's
laws, calculations of properties, air-water
vapour mixtures.

The syllabi of the Sections of this paper
are as follows:

SECTION H. CHEMISTRY (Compulsory)

Atomic structure and periodicity: Quantum
chemistry; Planck's quantum theory, wave
particle duality, uncertainty principle,
quantum mechanical model of hydrogen atom;
electronic configuration of atoms; periodic
table and periodic properties; ionization
energy, election affinity, electronegativity,
atomic size.

Structure and bonding: Ionic and covalent
bonding M.O. and V.B. approaches for
diatomic molecules, VSEPR theory and shape
of molecules, hybridisation, resonance,
dipole moment, structure parameters such as
bond length, bond angle and bond energy,
hydrogen bonding, van der Waals
interactions. Ionic solids; ionic radii,
lattice energy (Born-Haber Cycle).

s.p. and d Block Elements: Oxides, halides
and hydrides of alkali and alkaline earth
metals, B, Al, S, N, P and S, silicones,
general characteristics of 3d elements,
coordination complexes: valence bond and
crystal field theory, color, geometry and
magnetic properties.

Chemical Equilibria: Colligative properties
of solutions, ionic equilibria in solution,
solubility product, common ion effect,
hydrolysis of salts, pH, buffer and their
applications in chemical analysis.

Electrochemistry: Conductance, Kohlrausch
law, Half Cell potentials, emf, Nernst
equation, galvanic cells, thermodynamic
aspects and their applications.

Reaction Kinetics: Rate constant, order of
reaction, molecularity, activation energy,
zero, first and second order kinetics,
equilibrium constants (Kc, Kp and Kx) for
homogeneous reactions, catalysis and
elementary enzyme reactions.

Thermodynamics: First law, reversible and
irreversible processes, internal energy,
enthalpy, Kirchoff's equation, heat of
reaction, Hess law, heat of formation,
Second law, entropy, free energy, and work
function. Gibbs-Helmholtz equation,
Clausius-Clapeyron equation, free energy
change and equilibrium constant, Troutons
rule, Third law of thermodynamics.

Mechanistic Basis of Organic Reactions:
Elementary treatment of SN1, SN2, E1 and E2
reactions, Hoffmann and Saytzeff rules,
Addition reactions, Markonikoff rule and
Kharash effect, Diels-Alder reaction,
aromatic electrophilic substitution,
orientation effect as exemplified by various
functional groups.

Structure-Reactivity Correlations: Acids and
bases, electronic and steric effects,
optical and geometrical isomerism,
tautomerism, concept of aromaticity

SECTION I. BIOCHEMISTRY

Organization of life. Importance of water.
Cell structure and organelles. Structure and
function of biomolecules: Carbohydrates,
Lipids, Proteins and Nucleic acids.
Biochemical separation techniques.
Spectroscopic methods; UV-visible and
fluorescence. Protein structure, folding and
function: Myoglobin, Hemoglobin, Lysozyme,
ribonuclease A, Carboxypeptidase and
Chymotrypsin. Enzyme kinetics and
regulation, Coenzymes.

Metabolism and bioenergitics. Generation and
utilization of ATP. Photosynthesis. Major
metabolic pathways and their regulation.
Biological membranes. Transport across
membranes. Signal transduction; hormones and
neurotransmitters.

DNA replication, transcription and
translation. Biochemical regulation of gene
expression. Recombinant DNA technology and
applications. Genomics and Proteomics.

The immune system. Active and passive
immunity. Complement system. Antobody
structure, function and diversity. Cells of
the immune system: T, B and macrophages. T
and B cell activation. Major
histocompatibilty complex. T cell receptor.
Immunological techniques: Immunodiffusion,
immunoelectrophoresis, RIA and ELISA.

SECTION J. BIOTECHNOLOGY

Recombinant DNA technology for the
production of therapeutic proteins. Micro
array technology. Heterologous protein
expression systems in bacteria, yeast etc.

Architecture of plant genome; plant tissue
culture techniques; methods of gene transfer
into plant cells; manipulation of phenotypic
traits in plants; plant cell fermentations
and production of secondary metabolites
using suspension/ immobilized cell culture;
methods for plant micro propagation; crop
improvement and development of transgenic
plants. Expression of animal proteins in
plants.

Animal cell metabolism and regulation; cell
cycle; primary cell culture; nutritional
requirements for animal cell culture;
techniques for the mass culture of animal
cell lines; production of vaccines; growth
hormones and interferons using animal cell
culture; cytokines- production and
therapeutic uses; hybridoma technology;
vectors for gene transfer and expression in
animal cells. Transgenic animals and
molecular pharming.

Microbial production of industrial enzymes;
methods for immobilization of enzymes;
kinetics of soluble and immobilized enzymes;
application of soluble and immobilized
enzymes; enzyme-based sensors.

Microbial growth kinetics; batch, fed batch
and continuous culture of microbial cells;
media for industrial fermentations;
sterilization of air and media; design
features and operation of stirred tank,
air-lift and fluidized bed reactors;
aeration and agitation in aerobic
fermentations; recovery and purification of
fermentation products- filtration,
centrifugation, cell disintegration, solvent
extraction and chromatographic separations;
industrial fermentations for the production
of ethanol, citric acid, lysine, penicillin
and other biomolecules; simple calculations
based on material and energy balance of
fermentation processes; application of
microbes in the management of domestic and
industrial wastes.

SECTION K. BOTANY

Anatomy: Roots, stem and leaves of land
plants, meristems, vascular system, their
ontogeny, structure and functions. Plant
cell structure, organisation, organelles,
cytoskeleton, cell wall and membranes.

Development: Cell cycle, cell division,
senescence, hormonal regulation of growth;
life cycle of an angiosperm, pollination,
fertilization, embryogenesis, seed
formation, seed storage proteins, seed
dormancy and germination. Concept of
cellular totipotency, organogenesis and
somatic embryogenesis, somaclonal variation,
embryo culture, in vitro fertilization.

Physiology and Biochemistry: Plant water
relations, transport of minerals and
solutes, N2 metabolism, proteins and nucleic
acid, respiration, photophysiology,
photosynthesis, photorespiration;
biosynthesis, mechanism of action and
physiological effects of plant growth
regulators.

Genetics: Principles of Mendelian
inheritance, linkage, recombination and
genetic mapping; extrachromosomal
inheritance; eukaryotic genome organization
(chromatin structure) and regulation of gene
expression, gene mutation, chromosome
aberrations (numerical and structural),
transposons.

Plant Breeding: Principles, methods -
selection, hybridization, heterosis; male
sterility, self and inter-specific
incompatibility; haploidy; somatic cell
hybridization; molecular marker-assisted
selection; gene transfer methods viz. direct
and vector-mediated, transgenic plants and
their applications in agriculture.

Economic Botany: Economically important
plants - cereals, pulses, plants yielding
fiber, timber, sugar, beverages, oils,
rubber, dyes, gums, drugs and narcotics - a
general account.

Systematics: Systems of classification (non-phylogenetic
vs. phylogenetic - outline), plant groups,
molecular systematics.

Plant Pathology: Nature and classification
of plant diseases, diseases of important
crops caused by fungi, bacteria and viruses,
and their control measures, mechanism(s) of
pathogenesis and resistance, molecular
detection of pathogens; plant-microbe
beneficial interactions.

Ecology and Plant Geography: Ecosystems -
types, dynamics, degradation, ecological
succession; food chains; vegetation types of
the world; pollution and global warming;
speciation and extinction, conservation
strategies, cryopreservation.

SECTION L. MICROBIOLOGY

Historical perspective - Discovery of the
microbial world; Controversy over
spontaneous generation; Role of
microorganisms in transformation of organic
matter and in the causation of diseases.

Methods in microbiology - Pure culture
techniques; Theory and practice of
sterilization; Principles of microbial
nutrition; Construction of culture media;
Enrichment culture techniques for isolation
of chemoautotrophs, chemoheterotrophs and
photosynthetic microorganisms.

Microbial evolution, systematics and
taxonomy - Evolution of earth and earliest
life forms; Primitive organisms and their
metabolic strategies; New approaches to
bacterial taxonomic classification including
ribotyping; Nomenclature.

Microbial diversity - Bacteria, archea and
their broad classification; Eukaryotic
microbes, yeast, fungi, slime mold and
protozoa; Viruses and their classification.

Microbial growth -The definition of growth,
mathematical expression of growth, growth
curve, measurement of growth and growth
yields; Synchronous growth; Continuous
culture.

Nutrition and metabolism - Overview of
metabolism; Microbial nutrition; Energy
classes of microorganisms; Culture media;
Energetics, modes of ATP generation; ATP
generation by heterotrophs; Fermentation;
Glycolysis; Respiration; The citric acid
cycle; Electron transport systems; Alternate
modes of energy generation; Pathways
(anabolism) in the biosynthesis of amino
acids, purines, pyrimidines and fatty acids.

Metabolic diversity among microorganisms -
Photosynthesis in microorganisms; Role of
chlorophylls, carotenoids and phycobilins;
Calvin cycle; Chemolithotrophy; Hydrogen-
iron- nitrite-oxidizing bacteria; Nitrate
and sulfate reduction; Methanogenesis and
acetogenesis.

Prokaryotic cells: structure-function -
Cells walls of eubacteria (peptidoglycan)
and related molecules; Outer-membrane of
gram-negative bacteria; Cell wall and cell
membrane synthesis; Flagella and motility;
Cell inclusions like endospores, gas
vesicles.

Microbial diseases and host parasite
relationships - Normal microflora of skin;
Oral cavity; Gastrointestinal tract; Entry
of pathogens into the host; Infectious
disease transmission; Respiratory infections
caused by bacteria and viruses;
Tuberculosis; Sexually transmitted diseases
including AIDS; Diseases transmitted by
animals (Rabies, plague), insects and ticks
(rikettsias, Lyme disease, malaria); Food
and water borne diseases; Public health and
water quality; Pahtogenic fungi; Emerging
and resurgent infectious diseases.

Chemotherapy/Antibiotics - Antimicrobial
agents; Sulfa drugs; Antibiotics; Pencillins
and cephalosporins; Broad-spectrum
antibiotics; Antibiotics from prokaryotes;
Antifungal antibiotics; Mode of action;
Resistance to antibiotics.

Microbial genetics - Genes, mutation and
mutagenesis - UV and chemical mutagnes;
Types of mutations; Ames test for
mutagenesis; Methods of genetic analysis.
Bacterial genetic system - Transformation;
Conjugation; Transduction; Recombination;
Plasmids and Transposons; Bacterial genetic
map with reference to E. coli. Viruses and
their genetic system - Phage λ and its
life cycle; RNA phages; RNA viruses;
Retroviruses; Genetic systems of yeast and
Neurospora; Extrachromosomal inheritance and
mitochondrial genetics; Basic concept of
genomics.

SECTION M. ZOOLOGY

Animal world: Animal diversity,
distribution, systematic and classification
of animals, the phylogenetic relationship.

Evolution: Origin of life, history of life
on earth, evolutionary theories, natural
selection, adaptation, speciation.

Genetics: Principles of inheritance,
molecular basis of heredity, the genetic
material, transmission of genetic material,
mutations, cytoplasmic inheritance.

Biochemistry and Molecular Biology: Nucleic
acids, proteins and other biological
macromolecules. Replication, transcription
and translation, regulation of gene
expression, organization of genome, Kreb's
cycle, glycolysis, enzyme catalysis,
hormones and their action.

Cell Biology: Structure of cell, cellular
organelles and their structure and function,
cell cycle, cell division, cellular
differentiation, chromosome and chromatin
structure. Eukaryotic gene organisation and
expression.

Animal Anatomy and Physiology: Comparative
physiology, the respiratory system,
circulatory system, digestive system, the
nervous system, the excretory system, the
endocrine system, the reproductive system,
the skeletal system, osmoregulation.

Parasitology and Immunology: Nature of
parasite, host-parasite relation, protozoan
and helminthic parasites, the immune
response, cellular and humoral immune
response, evolution of the immune system.

Development Biology: Embryonic development,
cellular differentiation, organogenesis,
metamorphosis, genetic basis of development.

Ecology: The ecosystem, habitats the food
chain, population dynamics, species
diversity, zoogeography, biogeochemical
cycles, conservation biology.

Animal Behaviour: Types of behaviours,
courtship, mating and territoriality,
instinct, learning and memory, social
behaviour across the animal taxa,
communication, pheromones, evolution of
animal behaviour.

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.

Context free languages: push down automata,
context free grammars

COMPUTER HARDWARE

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

SOFTWARE SYSTEMS

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), asymptotic analysis (best, worst,
average cases) of time and space, upper and
lower bounds, intractability

Programming Methodology: C programming,
program control (iteration, recursion,
functions), scope, binding, parameter
passing, elementary concepts of object
oriented programming

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

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: relational model, database
design, integrity constraints, normal forms,
query languages (SQL), file structures
(sequential, indexed), b-trees, transaction
and concurrency control

Data Communication: data encoding and
transmission, data link control,
multiplexing, packet switching, LAN
architecture, LAN systems (Ethernet, token
ring), Network devices: switches, gateways,
routers