The GATE is held every year on the second Sunday of February, across
the country in over 100 cities. At present nearly 60,000 students
write GATE every year. Candidates can choose a single paper of 3
hours duration to appear in GATE from the discipline papers shown
in the following Table.
The GATE 2006 examination consists of a single paper of 3 hours
duration and of 150 marks. GATE 2006 will have the following twenty
one papers:
Papers XE and XL are of general nature and will comprise the following
Sections:
Engineering Sciences(XE):
Section 
Code 
Engg. Mathematics (Compulsory) 
A 
Computational Science 
B 
Electrical Sciences 
C 
Fluid Mechanics 
D 
Materials Science 
E 
Solid Mechanics 
F 
Thermodynamics 
G 
Life Sciences(XL):
Section 
Code 
Chemistry (Compulsory) 
H 
Biochemistry 
I 
Biotechnology 
J 
Botany 
K 
Microbiology 
L 
Zoology 
M 
Candidates appearing in XE or XL papers are required
to answer three sections. Sections (A) and (H) are compulsory
in XE and XL respectively. Candidates can choose any two
out of the remaining sections mentioned against the respective
papers.
 The choice of the appropriate paper is the responsibility of
the candidate. However, some guidelines are suggested below:
 Candidates are expected to appear in a paper appropriate to
the discipline of their qualifying degree.
 However, the candidates are free to choose any paper according
to their admission plan, keeping in mind the eligibility criteria
of the admitting institute.
 The question paper of GATE 2006 will be fully of objective type.
 Candidates have to mark the correct choice by darkening the
appropriate bubble against each question on an Objective Response
Sheet (ORS).
 There will be 'negative' marking for wrong answers. The
deduction will be 25% of the marks allotted.
 Here is the Structure
of Question Papers


AG
 AGRICULTURAL ENGINEERING ENGINEERING MATHEMATICS
Linear Algebra: Matrices and Determinants, Systems of linear
equations, Eigen values and eigen vectors.
Calculus: Limit, continuity and differentiability; Partial
Derivatives; Maxima and minima; Sequences and series; Test
for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface
and volume integrals; Stokes, Gauss and Green's theorems.
Differential Equations: Linear and nonlinear 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 nonlinear algebraic
equations; integration of trapezoidal and Simpson's rule;
single and multistep methods for differential equations.
FARM MACHINERY AND POWER
Sources of power on the farmhuman, animal, mechanical, electrical,
wind, solar and biomass; biofuels; 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; mechanics of animal traction;
functional requirements, principles of working, construction
and operation of manual, animal and power operated equipment
for tillage, sowing, planting, fertilizer application, intercultivation,
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
takeoff; 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 HazenWilliams
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 stress,
active and passive earth pressures; stability of slopes.
Hydrological cycle; meteorological parameters and their 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.
Measurement of distance and area; chain surveying, methods
of traversing; measurement of angles and bearings, plane table
surveying; types of levelling; contouring; instruments for
surveying and levelling; computation of earth work.
Mechanics of soil erosion, soil erosion types; wind and water
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; earthen dams; water
harvesting structures, farm ponds, watershed management.
Soilwaterplant relationship, water requirement of crops;
consumptive use and evapotranspiration; irrigation scheduling;
irrigation efficiencies; design of irrigation channels; measurement
of soil moisture, irrigation water and infiltration; surface,
sprinkler and drip methods of irrigation; design and evaluation
of irrigation methods.
Drainage coefficient; planning, design and layout of surface
and subsurface drainage systems; leaching requirement and
salinity control; irrigation and drainage water quality.
Groundwater occurrence confined and unconfined aquifers,
evaluation of aquifer properties; well hydraulics; groundwater
recharge.
Classification of pumps; pump characteristics; pump selection
and installation.
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  pasteurization and sterilization of liquid foods;
preservation of food by cooling and freezing; refrigeration
and cold storage basics and applications; psychrometry  properties
of airvapour mixture; concentration and drying 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; fluidization of granular solidspneumatic,
bucket, screw and belt conveying; cleaning and grading; Effectiveness
of grain cleaners.
Hydrothermal treatment, drying and milling of cereals, pulses
and oilseeds; Processing of seeds, spices, fruits and vegetables;
Byproduct utilization from processing industries.
Controlled and modified atmosphere storage; Perishable food
storage, godowns, bins and grain silos.


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AR  ARCHITECTURE AND PLANNING
City planning: Evolution of cities; principles of city
planning; types of cities & new towns; planning regulations
and building byelaws; ecocity concept; sustainable development.
Housing: Concept of housing; neighbourhood concept; site
planning principles; housing typology; housing standards;
housing infrastructure; housing policies, finance and management;
housing programs in India; self help housing.
Landscape Design: Principles of landscape design and site
planning; history of landscape styles; landscape elements
and materials; plant characteristics & planting design; environmental
considerations in landscape planning.
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, 3DStudio, 3D Max.
Environmental Studies in Building Science: Components of
Ecosystem; ecological principles concerning environment; climate
responsive design; energy efficient building design; thermal
comfort; solar architecture; principles of lighting and styles
for illumination; basic principles of architectural acoustics;
environment pollution, their control & abatement.
Visual and Urban Design: Principles of visual composition;
proportion, scale, rhythm, symmetry, harmony, datum, balance,
form, colour, texture; sense of place and space, division
of space; barrier free design; focal point, vista, image ability,
visual survey, figurebackground relationship.
History of Architecture: Indian – Indus valley, Vedic, Buddhist,
IndoAryan, Dravidian and Mughal periods; European – Egyptian,
Greek, Roman, medieval and renaissance periods construction
and architectural styles; vernacular and traditional architecture.
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; art novuea, eclecticism, international styles,
post modernism, deconstruction in architecture.
Building Services: Water supply, sewerage and drainage systems;
sanitary fittings and fixtures; plumbing systems, principles
of internal & external drainage systems, principles of electrification
of buildings, intelligent buildings; elevators & escalators,
their standards and uses; airconditioning systems; fire fighting
systems, building safety and security 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 techniques e.g., PERT, CPM etc;
Materials and Structural Systems: Behavioural characteristics
of all types of building materials e.g. mud, timber, bamboo,
brick, concrete, steel, glass, FRP, different polymers, composites;
principles of strength of materials; design of structural
elements in wood, steel and RCC; elastic and limit state design;
complex structural systems; principles of prestressing; tall
buildings; principles of disaster resistant structures.
Planning Theory: Regional planning; settlement system planning;
history of human settlements; growth of cities & metropolises;
principles of Ekistics; ruralurban migration; urban conservation;
urban renewal; Fiveyear plan; structural and sectoral plan.
Techniques of Planning: Planning survey techniques; preparation
of urban and regional structure plans, development plans,
action plans; site planning principles and design; statistical
methods of data analysis; application of G.I.S and remote
sensing techniques in urban and regional planning; decision
making models.
Traffic and Transportation Planning: Principles of traffic
engineering and transportation planning; traffic survey methods;
design of roads, intersections, grade separators and parking
areas; hierarchy of roads and levels of services; traffic
and transport management in urban areas, intelligent transportation
system; mass transportation planning; paratransits and other
modes of transportation, pedestrian & slow moving traffic
planning.
Infrastructure, Services and Amenities: Principles of water
supply and sanitation systems; water treatment; solid waste
disposal systems; waste treatment, recycle & reuse; urban
rainwater harvesting; power supply and communication systems
 network, design & guidelines; demography related standards
at various levels of the settlements for health, education,
recreation, religious & publicsemi public facilities.
Development Administration and Management: Planning laws;
development control and zoning regulations; laws relating
to land acquisition; development enforcements, urban land
ceiling; land management techniques; planning and municipal
administration; disaster mitigation management; 73rd & 74th
Constitutional amendments; valuation & taxation; revenue resources
and fiscal management; public participation and role of NGO
& CBO; Institutional networking & capacity building.


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CE
 CIVIL ENGINEERING ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of linear equations,
Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity
and differentiability, Mean value theorems, Evaluation of
definite and improper integrals, Partial derivatives, Total
derivative, Maxima and minima, Gradient, Divergence and Curl,
Vector identities, Directional derivatives, Line, Surface
and Volume integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equations (linear and
nonlinear), Higher order linear differential equations with
constant coefficients, Cauchy’s and Euler’s equations, Initial
and boundary value problems, Laplace transforms, Solutions
of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy’s integral
theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and
sampling theorems, Conditional probability, Mean, median,
mode and standard deviation, Random variables, Poisson, Normal
and Binomial distributions.
Numerical Methods: Numerical solutions of linear and nonlinear
algebraic equations Integration by trapezoidal and Simpson’s
rule, single and multistep methods for differential equations.
STRUCTURAL ENGINEERING
Mechanics: Bending moment and shear force in statically determinate
beams. Simple stress and strain relationship: Stress and strain
in two dimensions, principal stresses, stress transformation,
Mohr’s circle. Simple bending theory, flexural and shear stresses,
unsymmetrical bending, shear centre. Thin walled pressure
vessels, uniform torsion, buckling of column, combined and
direct bending stresses.
Structural Analysis: Analysis of statically determinate trusses,
arches, beams, cables and frames, displacements in statically
determinate structures and analysis of statically indeterminate
structures by force/ energy methods, analysis by displacement
methods (slope deflection and moment distribution methods),
influence lines for determinate and indeterminate structures.
Basic concepts of matrix methods of structural analysis.
Concrete Structures: Concrete Technology properties of concrete,
basics of mix design. Concrete design basic working stress
and limit state design concepts, analysis of ultimate load
capacity and design of members subjected to flexure, shear,
compression and torsion by limit state methods. Basic elements
of prestressed concrete, analysis of beam sections at transfer
and service loads.
Steel Structures: Analysis and design of tension and compression
members, beams and beam columns, column bases. Connections
simple and eccentric, beam–column connections, plate girders
and trusses. Plastic analysis of beams and frames.
GEOTECHNICAL ENGINEERING
Soil Mechanics: Origin of soils, soil classification, three
 phase system, fundamental definitions, relationship and
interrelationships, permeability and seepage, effective stress
principle, consolidation, compaction, shear strength.
Foundation Engineering: Subsurface investigations scope,
drilling bore holes, sampling, penetration tests, plate load
test. Earth pressure theories, effect of water table, layered
soils. Stability of slopes infinite slopes, finite slopes.
Foundation types foundation design requirements. Shallow
foundations bearing capacity, effect of shape, water table
and other factors, stress distribution, settlement analysis
in sands and clays. Deep foundations – pile types, dynamic
and static formulae, load capacity of piles in sands and clays,
negative skin friction. WATER RESOURCES ENGINEERING
Fluid Mechanics and Hydraulics: Properties of fluids, principle
of conservation of mass, momentum, energy and corresponding
equations, potential flow, applications of momentum and Bernoulli’s
equation, laminar and turbulent flow, flow in pipes, pipe
networks. Concept of boundary layer and its growth. Uniform
flow, critical flow and gradually varied flow in channels,
specific energy concept, hydraulic jump. Forces on immersed
bodies, flow measurements in channels, tanks and pipes. Dimensional
analysis and hydraulic modeling. Kinematics of flow, velocity
triangles and specific speed of pumps and turbines.
Hydrology: Hydrologic cycle, rainfall, evaporation, infiltration,
stage discharge relationships, unit hydrographs, flood estimation,
reservoir capacity, reservoir and channel routing. Well hydraulics.
Irrigation: Duty, delta, estimation of evapotranspiration.
Crop water requirements. Design of: lined and unlined canals,
waterways, head works, gravity dams and spillways. Design
of weirs on permeable foundation. Types of irrigation system,
irrigation methods. Water logging and drainage, sodic soils.
ENVIRONMENTAL ENGINEERING
Water requirements: Quality standards, basic unit processes
and operations for water treatment. Drinking water standards,
water requirements, basic unit operations and unit processes
for surface water treatment, distribution of water. Sewage
and sewerage treatment, quantity and characteristics of wastewater.
Primary, secondary and tertiary treatment of wastewater, sludge
disposal, effluent discharge standards. Domestic wastewater
treatment, quantity of characteristics of domestic wastewater,
primary and secondary treatment Unit operations and unit processes
of domestic wastewater, sludge disposal.
Air Pollution: Types of pollutants, their sources and impacts,
air pollution meteorology, air pollution control, air quality
standards and limits.
Municipal Solid Wastes: Characteristics, generation, collection
and transportation of solid wastes, engineered systems for
solid waste management (reuse/ recycle, energy recovery, treatment
and disposal).
Noise Pollution: Impacts of noise, permissible limits of
noise pollution, measurement of noise and control of noise
pollution.
TRANSPORTATION ENGINEERING
Highway Planning: Geometric design of highways, testing and
specifications of paving materials, design of flexible and
rigid pavements.
Traffic Engineering: Traffic characteristics, theory of traffic
flow, intersection design, traffic signs and signal design,
highway capacity.
SURVEYING
Importance of surveying, principles and classifications,
mapping concepts, coordinate system, map projections, measurements
of distance and directions, leveling, theodolite traversing,
plane table surveying, errors and adjustments, curves.


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CH  CHEMICAL ENGINEERING
ENGINEERING MATHEMATICS Linear Algebra: Matrix
algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity
and differentiability, Mean value theorems, Evaluation of
definite and improper integrals, Partial derivatives, Total
derivative, Maxima and minima, Gradient, Divergence and Curl,
Vector dentities, 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, Residue theorem.
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 nonlinear
algebraic equations Integration by trapezoidal and Simpson’s
rule, single and multistep 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. First law application to
close and open systems. Second law and Entropy Thermodynamic
properties of pure substances: equation of state and departure
function, properties of mixtures: partial molar properties,
fugacity, excess properties and activity coefficients; phase
equilibria: predicting VLE of systems; chemical reaction equilibria.
Fluid Mechanics and Mechanical Operations: Fluid statics,
Newtonian and nonNewtonian 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 laws, molecular diffusion in fluids,
mass transfer coefficients, film, penetration and surface
renewal theories; momentum, heat and mass transfer analogies;
stagewise and continuous contacting and stage efficiencies;
HTU & NTU concepts design and operation of equipment for distillation,
absorption, leaching, liquidliquid extraction, 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, nonideal
reactors; residence time distribution, single parameter model;
nonisothermal reactors; kinetics of heterogeneous catalytic
reactions; diffusion effects in catalysis.
Instrumentation and Process Control: Measurement of process
variables; sensors, transducers and their dynamics, transfer
functions and dynamic responses of simple systems, process
reaction curve, controller modes (P, PI, and PID); control
valves; analysis of closed loop systems including stability,
frequency response and controller tuning, cascade, feed forward
control.
Plant Design and Economics: Process 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.


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CS  COMPUTER SCIENCE AND ENGINEERING
ENGINEERING MATHEMATICS Mathematical Logic: Propositional
Logic; First Order Logic.
Probability: Conditional Probability; Mean, Median, Mode
and Standard Deviation; Random Variables; Distributions; uniform,
normal, exponential, Poisson, Binomial.
Set Theory & Algebra: Sets; Relations; Functions; Groups;
Partial Orders; Lattice; Boolean Algebra.
Combinatorics: Permutations; Combinations; Counting; Summation;
generating functions; recurrence relations; asymptotics.
Graph Theory: Connectivity; spanning trees; Cut vertices
& edges; covering; matching; independent sets; Colouring;
Planarity; Isomorphism.
Linear Algebra: Algebra of matrices, determinants, systems
of linear equations, Eigen values and Eigen vectors.
Numerical Methods: LU decomposition for systems of linear
equations; numerical solutions of nonlinear algebraic equations
by Secant, Bisection and NewtonRaphson 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.
COMPUTER SCIENCE AND ENGINEERING
Theory of Computation: Regular languages and finite automata,
Context free languages and Pushdown automata, Recursively
enumerable sets and Turing machines, Undecidability; NPcompleteness.
Digital Logic: Logic functions, Minimization, Design and
synthesis of combinational and sequential circuits; Number
representation and computer arithmetic (fixed and floating
point).
Computer Organization and Architecture: Machine instructions
and addressing modes, ALU and datapath, CPU control design,
Memory interface, I/O interface (Interrupt and DMA mode),
Instruction pipelining, Cache and main memory, Secondary storage.
Programming and Data Structures: Programming in C; Functions,
Recursion, Parameter passing, Scope, Binding; Abstract data
types, Arrays, Stacks, Queues, Linked Lists, Trees, Binary
search trees, Binary heaps.
Algorithms: Analysis, Asymptotic notation, Notions of space
and time complexity, Worst and average case analysis; Design:
Greedy approach, Dynamic programming, Divideandconquer;
Tree and graph traversals, Connected components, Spanning
trees, Shortest paths; Hashing, Sorting, Searching.
Compiler Design: Lexical analysis, Parsing, Syntax directed
translation, Runtime environments, Intermediate and target
code generation, Basics of code optimization.
Operating System: Processes, Threads, Interprocess communication,
Concurrency, Synchronization, Deadlock, CPU scheduling, Memory
management and virtual memory, File systems, I/O systems,
Protection and security.
Databases: ERmodel, Relational model (relational algebra,
tuple calculus), Database design (integrity constraints, normal
forms), Query languages (SQL), File structures (sequential
files, indexing, B and B+ trees), Transactions and concurrency
control.
Computer Networks: ISO/OSI stack, LAN technologies (Ethernet,
Token ring), Flow and error control techniques, Routing algorithms,
Congestion control, TCP/UDP and sockets, IP(v4), Application
layer protocols (icmp, dns, smtp, pop, ftp, http); Basic concepts
of hubs, switches, gateways, and routers.


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CH  CHEMISTRY PHYSICAL
CHEMISTRY Structure: Quantum theory: principles and techniques;
applications to a particle in a box, harmonic oscillator,
rigid rotor and hydrogen atom; valence bond and molecular
orbital theories, Hückel approximation; approximate techniques:
variation and perturbation; symmetry, point groups; rotational,
vibrational, electronic, NMR, and ESR spectroscopy
Equilibrium: Kinetic theory of gases; 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 nonideal 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; DebyeHückel
theory; 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, temperature dependence
of chemical reactions; elementary, consecutive, and parallel
reactions; steady state approximation; theories of reaction
rates  collision and transition state theory, relaxation
kinetics, kinetics of photochemical reactions and free radical
polymerization, homogeneous catalysis, adsorption isotherms
and heterogeneous catalysis.
INORGANIC CHEMISTRY
Main group elements: General characteristics, allotropes,
structure and reactions of simple and industrially important
compounds: boranes, carboranes, silicones, silicates, boron
nitride, borazines and phosphazenes. Hydrides, oxides and
oxoacids of pnictogens (N, P), chalcogens (S, Se & Te) and
halogens, xenon compounds, pseudo halogens and interhalogen
compounds. Shapes of molecules and hard soft acid base concept.
Structure and Bonding (VBT) of B, Al, Si, N, P, S, Cl compounds.
Allotropes of carbon: graphite, diamond, C60. Synthesis and
reactivity of inorganic polymers of Si and P.
Transition Elements: General characteristics of d and f block
elements; coordination chemistry: structure and isomerism,
stability, theories of metal ligand bonding (CFT and LFT),
mechanisms of substitution and electron transfer reactions
of coordination complexes. Electronic spectra and magnetic
properties of transition metal complexes, lanthanides and
actinides. 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.
Bioinorganic chemistry of Na, K. Mg, Ca, Fe, Co, Zn, Cu and
Mo.
Solids: Crystal systems and lattices, miller planes, crystal
packing, crystal defects; Bragg’s Law, ionic crystals, band
theory, metals and semiconductors, Different structures of
AX, AX2, ABX3 compounds, spinels.
Instrumental methods of analysis: Atomic absorption and emission
spectroscopy including ICPAES, UV visible spectrophotometry,
NMR, mass, Mossbauer spectroscopy (Fe and Sn), ESR spectroscopy,
chromatography including GC and HPLC and electroanalytical
methods (Coulometry, cyclic voltammetry, polarography – amperometry,
and ion selective electrodes).
ORGANIC CHEMISTRY
Stereochemistry: Chirality of organic molecules with or without
chiral centres. Specification of configuration in compounds
having one or more stereogenic centres. Enantiotopic and diastereotopic
atoms, groups and faces. Stereoselective and stereospecific
synthesis. Conformational analysis of acyclic and cyclic compounds.
Geometrical isomerism. Configurational and conformational
effects on reactivity and selectivity/specificity.
Reaction mechanism: Methods of determining reaction mechanisms.
Nucleophilic and electrophilic substitutions and additions
to multiple bonds. Elimination reactions. Reactive intermediates
carbocations, carbanions, carbenes, nitrenes, arynes, free
radicals. Molecular rearrangements involving electron deficient
atoms.
Organic synthesis: Synthesis, reactions, mechanisms and selectivity
involving the following alkenes, alkynes, arenes, alcohols,
phenols, aldehydes, ketones, carboxylic acids and their derivatives,
halides, nitro compounds and amines. Use of compounds of Mg,
Li, Cu, B and Si in organic synthesis. Concepts in multistep
synthesis retrosynthetic analysis, disconnections, synthons,
synthetic equivalents, reactivity umpolung, selectivity, protection
and deprotection of functional groups.
Pericyclic reactions: Electrocyclic, cycloaddition and sigmatropic
reactions. Orbital correlation, FMO and PMO treatments.
Photochemistry: Basic principles. Photochemistry of alkenes,
carbonyl compounds, and arenes. Photooxidation and photoreduction.
Dip methane rearrangement, Barton reaction.
Heterocyclic compounds: Structure, preparation, properties
and reactions of furan, pyrrole, thiophene, pyridine, indole
and their derivatives.
Biomolecules: Structure, properties and reactions of mono
and disaccharides, physicochemical properties of amino acids,
chemical synthesis of peptides, structural features of proteins,
nucleic acids, steroids, terpenoids, carotenoids, and alkaloids.
Spectroscopy: Principles and applications of UVvisible,
IR, NMR and Mass spectrometry in the determination of structures
of organic molecules.


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EC  ELECTRONICS AND COMMUNICATION
ENGINEERING ENGINEERING MATHEMATICS Linear
Algebra: Matrix Algebra, Systems of linear equations, Eigen
values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus,
Evaluation of definite and improper integrals, Partial Derivatives,
Maxima and minima, Multiple integrals, Fourier series. Vector
identities, Directional derivatives, Line, Surface and Volume
integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equation (linear and
nonlinear), Higher order linear differential equations with
constant coefficients, Method of variation of parameters,
Cauchy’s and Euler’s equations, Initial and boundary value
problems, Partial Differential Equations and variable separable
method.
Complex variables: Analytic functions, Cauchy’s integral
theorem and integral formula, Taylor’s and Laurent’ series,
Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional
probability, Mean, median, mode and standard deviation, Random
variables, Discrete and continuous distributions, Poisson,
Normal and Binomial distribution, Correlation and regression
analysis.
Numerical Methods: Solutions of nonlinear algebraic equations,
single and multistep methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Ztransform.
ELECTRONICS AND COMMUNICATION ENGINEERING
Networks: Network graphs: matrices associated with graphs;
incidence, fundamental cut set and fundamental circuit matrices.
Solution methods: nodal and mesh analysis. Network theorems:
superposition, Thevenin and Norton’s maximum power transfer,
WyeDelta 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. 2port 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, and resistivity. Generation
and recombination of carriers. pn junction diode, Zener diode,
tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, pIn
and avalanche photo diode, Basics of LASERs. Device technology:
integrated circuits fabrication process, oxidation, diffusion,
ion implantation, photolithography, ntub, ptub and twintub
CMOS process.
Analog Circuits: Small Signal Equivalent circuits of diodes,
BJTs, MOSFETs and analog CMOS. Simple diode circuits, clipping,
clamping, rectifier. Biasing and bias stability of transistor
and FET amplifiers. Amplifiers: singleand multistage, differential
and operational, feedback, and power. Frequency response of
amplifiers. Simple opamp circuits. Filters. Sinusoidal oscillators;
criterion for oscillation; singletransistor and opamp configurations.
Function generators and waveshaping circuits, 555 Timers.
Power supplies.
Digital circuits: Boolean algebra, minimization of Boolean
functions; logic gates; digital IC families (DTL, TTL, ECL,
MOS, CMOS). Combinatorial circuits: arithmetic circuits, code
converters, multiplexers, decoders, PROMs and PLAs. Sequential
circuits: latches and flipflops, counters and shiftregisters.
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, continuoustime and discretetime Fourier series,
continuoustime and discretetime Fourier Transform, DFT and
FFT, ztransform. Sampling theorem. Linear TimeInvariant
(LTI) Systems: definitions and properties; causality, stability,
impulse response, convolution, poles and zeros, parallel and
cascade structure, frequency response, group delay, phase
delay. Signal transmission through LTI systems.
Control Systems: Basic control system components; block diagrammatic
description, reduction of block diagrams. Open loop and closed
loop (feedback) systems and stability analysis of these systems.
Signal flow graphs and their use in determining transfer functions
of systems; transient and steady state analysis of LTI control
systems and frequency response. Tools and techniques for LTI
control system analysis: root loci, RouthHurwitz criterion,
Bode and Nyquist plots. Control system compensators: elements
of lead and lag compensation, elements of ProportionalIntegralDerivative
(PID) control. State variable representation and solution
of state equation of LTI control systems.
Communications: Random signals and noise: probability, random
variables, probability density function, autocorrelation,
power spectral density. Analog communication systems: amplitude
and angle modulation and demodulation systems, spectral analysis
of these operations, superheterodyne receivers; elements of
hardware, realizations of analog communication systems; signaltonoise
ratio (SNR) calculations for amplitude modulation (AM) and
frequency modulation (FM) for low noise conditions. Fundamentals
of information theory and channel capacity theorem. Digital
communication systems: pulse code modulation (PCM), differential
pulse code modulation (DPCM), digital modulation schemes:
amplitude, phase and frequency shift keying schemes (ASK,
PSK, FSK), matched filter receivers, bandwidth consideration
and probability of error calculations for these schemes. Basics
of TDMA, FDMA and CDMA and GSM.
Electromagnetics: Elements of vector calculus: divergence
and curl; Gauss’ and Stokes’ theorems, Maxwell’s equations:
differential and integral forms. Wave equation, Poynting vector.
Plane waves: propagation through various media; reflection
and refraction; phase and group velocity; skin depth. Transmission
lines: characteristic impedance; impedance transformation;
Smith chart; impedance matching; S parameters, pulse excitation.
Waveguides: modes in rectangular waveguides; boundary conditions;
cutoff frequencies; dispersion relations. Basics of propagation
in dielectric waveguide and optical fibers. Basics of Antennas:
Dipole antennas; radiation pattern; antenna gain.


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EE  ELECTRICAL ENGINEERING
ENGINEERING MATHEMATICS Linear Algebra: Matrix
Algebra, Systems of linear equations, Eigen values and eigen
vectors.
Calculus: Mean value theorems, Theorems of integral calculus,
Evaluation of definite and improper integrals, Partial Derivatives,
Maxima and minima, Multiple integrals, Fourier series. Vector
identities, Directional derivatives, Line, Surface and Volume
integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equation (linear and
nonlinear), Higher order linear differential equations with
constant coefficients, Method of variation of parameters,
Cauchy’s and Euler’s equations, Initial and boundary value
problems, Partial Differential Equations and variable separable
method.
Complex variables: Analytic functions, Cauchy’s integral
theorem and integral formula, Taylor’s and Laurent’ series,
Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional
probability, Mean, median, mode and standard deviation, Random
variables, Discrete and continuous distributions, Poisson,
Normal and Binomial distribution, Correlation and regression
analysis.
Numerical Methods: Solutions of nonlinear algebraic equations,
single and multistep methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Ztransform.
ELECTRICAL ENGINEERING
Electric Circuits and Fields: Network graph, KCL, KVL, node
and mesh analysis, transient response of dc and ac networks;
sinusoidal steadystate analysis, resonance, basic filter
concepts; ideal current and voltage sources, Thevenin’s, Norton’s
and Superposition and Maximum Power Transfer theorems, twoport
networks, three phase circuits; Gauss Theorem, electric field
and potential due to point, line, plane and spherical charge
distributions; Ampere’s and BiotSavart’s laws; inductance;
dielectrics; capacitance.
Signals and Systems: Representation of continuous and discretetime
signals; shifting and scaling operations; linear, timeinvariant
and causal systems; Fourier series representation of continuous
periodic signals; sampling theorem; Fourier, Laplace and Z
transforms.
Electrical Machines: Single phase transformer  equivalent
circuit, phasor diagram, tests, regulation and efficiency;
three phase transformers  connections, parallel operation;
autotransformer; energy conversion principles; DC machines
 types, windings, generator characteristics, armature reaction
and commutation, starting and speed control of motors; three
phase induction motors  principles, types, performance characteristics,
starting and speed control; single phase induction motors;
synchronous machines  performance, regulation and parallel
operation of generators, motor starting, characteristics and
applications; servo and stepper motors.
Power Systems: Basic power generation concepts; transmission
line models and performance; cable performance, insulation;
corona and radio interference; distribution systems; perunit
quantities; bus impedance and admittance matrices; load flow;
voltage control; power factor correction; economic operation;
symmetrical components; fault analysis; principles of overcurrent,
differential and distance protection; solid state relays and
digital protection; circuit breakers; system stability concepts,
swing curves and equal area criterion; HVDC transmission and
FACTS concepts.
Control Systems: Principles of feedback; transfer function;
block diagrams; steadystate errors; Routh and Niquist techniques;
Bode plots; root loci; lag, lead and leadlag compensation;
state space model; state transition matrix, controllability
and observability.
Electrical and Electronic Measurements: Bridges and potentiometers;
PMMC, moving iron, dynamometer and induction type instruments;
measurement of voltage, current, power, energy and power factor;
instrument transformers; digital voltmeters and multimeters;
phase, time and frequency measurement; Qmeters; oscilloscopes;
potentiometric recorders; error analysis.
Analog and Digital Electronics: Characteristics of diodes,
BJT, FET; amplifiers  biasing, equivalent circuit and frequency
response; oscillators and feedback amplifiers; operational
amplifiers  characteristics and applications; simple active
filters; VCOs and timers; combinational and sequential logic
circuits; multiplexer; Schmitt trigger; multivibrators; sample
and hold circuits; A/D and D/A converters; 8bit microprocessor
basics, architecture, programming and interfacing.
Power Electronics and Drives: Semiconductor power diodes,
transistors, thyristors, triacs, GTOs, MOSFETs and IGBTs 
static characteristics and principles of operation; triggering
circuits; phase control rectifiers; bridge converters  fully
controlled and half controlled; principles of choppers and
inverters; basis concepts of adjustable speed dc and ac drives.


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GG  GEOLOGY AND GEOPHYSICS
PART  I Earth and Planetary system;
size, shape, internal structure and composition of the earth;
atmosphere and greenhouse effect; isostasy; elements of seismology;
pressure in deep interior of planets; continents and continental
processes; physical oceanography; paleomagnetism, continental
drift, plate tectonics.
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; elements
of petrology; engineering properties of rocks and soils, role
of geology in the construction of engineering structures.
Introductory processes of ore formation, broad occurrence
and distribution of ore deposits; coal and petroleum resources
in India; ground water geology geological time scale and geochronology;
stratigraphic principles and stratigraphy of India; basic
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 physical
and optical properties of rock forming minerals.
Igneous rocks – classification, forms and textures, magmatic
differentiation; phase diagrams and trace elements as monitors
of magma evolutionary processes; mantle melting models and
derivation of primary magmas. Metamorphism: controlling factors,
metamorphic facies, grade and baric types; metamorphism of
pelitic, mafic and impure carbonate rocks; role of fluids
in metamorphism; metamorphic PTt paths and their tectonic
significance; Igneous and metamorphic provinces of India;
structure and petrology of sedimentary rocks; sedimentary
processes and environments, sedimentary facies, basin studies;
association of igneous, sedimentary and metamorphic rocks
with tectonic setting.
Stress, strain and material response; brittle and ductile
deformation; 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; basement
cover relationship.
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 nearshore
regions; quantitative and applied geomorphology; air photo
interpretation and remote sensing; ore mineralogy and optical
properties of ore minerals; ore forming processes visàvis
orerock association (magmatic, hydrothermal, sedimentary
and metamorphogenic ores); ores and metamorphism; fluid inclusions
as an ore genetic tool; prospecting and exploration of economic
minerals; sampling, ore reserve estimation, mining methods;
coal and petroleum geology; origin and distribution of mineral
and fuel deposits in India; marine geology and ocean resources;
ore dressing and mineral economics.
Cosmic abundance; meteorites; geochemical evolution of the
earth; geochemical cycles; distribution of major, minor and
trace elements; elements of geochemical thermodynamics, 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; ground water geology and exploration and well hydraulics;
water quality; basic principles of remote sensing – energy
sources and radiation principles, atmospheric absorption,
interaction of energy with various features of the earth's
surface. GIS – basic concepts, raster and vector mode operation,
digital processing of satellite images, visual and microwave
remote sensing; elements of Geostatistics
PART – II B: GEOPHYSICS
The earth as a planet; different motions of the earth; gravity
field of the earth and its shape; geochronology; seismology
and interior of the earth; variation of density, velocity,
pressure, temperature, electrical and magnetic properties
of the earth; earthquakescauses and measurements; magnitude
and intensity, focal mechanisms, earthquake quantification,
source characteristics, seismotectonics and seismic hazards;
digital seismographs, paleoseismology, geomagnetic field,
paleomagnetism; 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 in 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,
Bouguer gravity formula, various corrections to gravity data,
free air, Bouguer and isostatic anomalies, regional and residual
gravity separation, upward and downward continuation, preparation
and analysis of gravity maps; gravity anomalies and their
interpretation; calculation of mass, airborne, shipborne and
borehole gravity surveys.
Earth's magnetic field, units of measurement, magnetic susceptibility
of rocks, magnetometers, corrections, preparation of magnetic
maps, upward and downward continuation, magnetic anomalies
and their interpretation; magnetic anomalies and their interpretation.
Conduction of electricity through rocks, electrical conductivities
of metals, metallic, nonmetallic 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; groundwater exploration.
Origin of electromagnetic field, elliptic polarization, methods
of measurement for different sourcereceiver configuration
components in EM measurements, skindepth, interpretation
and applications; earth's natural electromagnetic field, tellurics,
magnetotellurics; geomagnetic depth sounding principles,
electromagnetic profiling, 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, processing
and interpretation; CDP stacking charts, binning, filtering,
dipmoveout, static and dynamic corrections, migration, signal
processing, attribute analysis, bright and dim spots, seismic
stratigraphy, high resolution seismics, VSP, AVO.
Principles and techniques of geophysical welllogging, SP,
resistivity, induction, gamma ray, neutron, density, sonic,
temperature, dip meter, caliper, nuclear magnetic, cement
bond logging, micrologs. 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.
Radioactive methods of prospecting and assaying of minerals
(radioactive and non radioactive) deposits, halflife, decay
constant, radioactive equilibrium, G M counter, scintillation
detector, semiconductor devices, application of radiometric
for exploration and radioactive waste disposal.
Geophysical signal processing, sampling theorem, aliasing,
Nyquist frequency, Fourier series, periodic waveform, Fourier
and Hilbert transform, Ztransform, power spectrum, delta
function, auto correlation, cross correlation, convolution,
deconvolution, principles of digital filters, windows, poles
and zeros.
Geophysical inverse problems: nonuniqueness and stability
of solutions; quasilinear and nonlinear methods including
genetic algorithms and artificial neural network.


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IN  INSTRUMENTATION ENGINEERING
ENGINEERING MATHEMATICS Linear Algebra: Matrix
Algebra, Systems of linear equations, Eigen values and eigen
vectors.
Calculus: Mean value theorems, Theorems of integral calculus,
Evaluation of definite and improper integrals, Partial Derivatives,
Maxima and minima, Multiple integrals, Fourier series. Vector
identities, Directional derivatives, Line, Surface and Volume
integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equation (linear and
nonlinear), Higher order linear differential equations with
constant coefficients, Method of variation of parameters,
Cauchy’s and Euler’s equations, Initial and boundary value
problems, Partial Differential Equations and variable separable
method.
Complex variables: Analytic functions, Cauchy’s integral
theorem and integral formula, Taylor’s and Laurent’ series,
Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional
probability, Mean, median, mode and standard deviation, Random
variables, Discrete and continuous distributions, Poisson,
Normal and Binomial distribution, Correlation and regression
analysis.
Numerical Methods: Solutions of nonlinear algebraic equations,
single and multistep methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Ztransform.
INSTRUMENTATION ENGINEERING
Basics of Circuits and Measurement Systems: Kirchoff’s laws,
mesh and nodal Analysis. Circuit theorems. Oneport and twoport
Network Functions. Static and dynamic characteristics of Measurement
Systems. Error and uncertainty analysis. Statistical analysis
of data and curve fitting.
Transducers, Mechanical Measurement and Industrial Instrumentation:
Resistive, Capacitive, Inductive and piezoelectric transducers
and their signal conditioning. Measurement of displacement,
velocity and acceleration (translational and rotational),
force, torque, vibration and shock. Measurement of pressure,
flow, temperature and liquid level. Measurement of pH, conductivity,
viscosity and humidity.
Analog Electronics: Characteristics of diode, BJT, JFET and
MOSFET. Diode circuits. Transistors at low and high frequencies,
Amplifiers, single and multistage. Feedback amplifiers. Operational
amplifiers, characteristics and circuit configurations. Instrumentation
amplifier. Precision rectifier. VtoI and ItoV converter.
OpAmp based active filters. Oscillators and signal generators.
Digital Electronics: Combinational logic circuits, minimization
of Boolean functions. IC families, TTL, MOS and CMOS. Arithmetic
circuits. Comparators, Schmitt trigger, timers and monostable
multivibrator. Sequential circuits, flipflops, counters,
shift registers. Multiplexer, S/H circuit. AnalogtoDigital
and DigitaltoAnalog converters. Basics of number system.
Microprocessor applications, memory and inputoutput interfacing.
Microcontrollers.
Signals, Systems and Communications: Periodic and aperiodic
signals. Impulse response, transfer function and frequency
response of first and second order systems. Convolution,
correlation and characteristics of linear time invariant systems.
Discrete time system, impulse and frequency response. Pulse
transfer function. IIR and FIR filters. Amplitude and frequency
modulation and demodulation. Sampling theorem, pulse code
modulation. Frequency and time division multiplexing. Amplitude
shift keying, frequency shift keying and pulse shift keying
for digital modulation.
Electrical and Electronic Measurements: Bridges and potentiometers,
measurement of R,L and C. Measurements of voltage, current,
power, power factor and energy. A.C & D.C current probes.
Extension of instrument ranges. Qmeter and waveform analyzer.
Digital voltmeter and multimeter. Time, phase and frequency
measurements. Cathode ray oscilloscope. Serial and parallel
communication. Shielding and grounding.
Control Systems and Process Control: Feedback principles.
Signal flow graphs. Transient Response, steadystateerrors.
Routh and Nyquist criteria. Bode plot, root loci. Time delay
systems. Phase and gain margin. State space representation
of systems. Mechanical, hydraulic and pneumatic system components.
Synchro pair, servo and step motors. Onoff, cascade, P, PI,
PID, feed forward and derivative controller, Fuzzy controllers.
Analytical, Optical and Biomedical Instrumentation: Mass
spectrometry. UV, visible and IR spectrometry. Xray and nuclear
radiation measurements. Optical sources and detectors, LED,
laser, Photodiode, photoresistor and their characteristics.
Interferometers, applications in metrology. Basics of fiber
optics. Biomedical instruments, EEG, ECG and EMG. Clinical
measurements. Ultrasonic transducers and Ultrasonography.
Principles of Computer Assisted Tomography.


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MA  MATHEMATICS Linear
Algebra: Finite dimensional vector spaces; Linear transformations
and their matrix representations, rank; systems of linear
equations, eigenvalues and eigenvectors, minimal polynomial,
CayleyHamilton Theroem, diagonalisation, Hermitian, SkewHermitian
and unitary matrices; Finite dimesnsional inner product spaces,
GramSchmidt orthonormalization process, selfadjoint operators.
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; Riemann integration, 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.
Algebra: Normal subgroups and homomorphism theorems, automorphisms;
Group actions, Sylow’s theorems and their applications; Euclidean
domains, Principle ideal domains and unique factorization
domains. Prime ideals and maximal ideals in commutative rings;
Fields, finite fields.
Functional Analysis: Banach spaces, HahnBanach extension
theorem, open mapping and closed graph theorems, principle
of uniform boundedness; Hilbert spaces, orthonormal bases,
Riesz representation theorem, bounded linear operators.
Numerical Analysis: Numerical solution of algebraic and transcendental
equations: bisection, secant method, NewtonRaphson method,
fixed point iteration; interpolation: error of polynomial
interpolation, Lagrange, Newton interpolations; numerical
differentiation; numerical integration: Trapezoidal and Simpson
rules, Gauss Legendre quadrature, method of undetermined parameters;
least square polynomial approximation; numerical solution
of systems of linear equations: direct methods (Gauss elimination,
LU decomposition); iterative methods (Jacobi and GaussSeidel);
matrix eigenvalue problems: power method, numerical solution
of ordinary differential equations: initial value problems:
Taylor series methods, Euler’s method, RungeKutta methods.
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; solutions of Laplace,
wave and diffusion equations in two variables; Fourier series
and Fourier transform and Laplace transform methods of solutions
for the above equations.
Mechanics: Virtual work, Lagrange’s equations for holonomic
systems, Hamiltonian equations.
Topology: Basic concepts of topology, product topology, connectedness,
compactness, countability and separation axioms, Urysohn’s
Lemma.
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,
maximum likelihood estimators, Testing of hypotheses, standard
parametric tests based on normal, X2 , t, F – distributions;
Linear regression; Interval estimation.
Linear programming: Linear programming problem and its formulation,
convex sets and their properties, graphical method, basic
feasible solution, simplex method, bigM 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; Balanced and unbalanced transportation
problems, u u method for solving transportation problems;
Hungarian method for solving assignment problems.
Calculus of Variation and Integral Equations: Variation problems
with fixed boundaries; sufficient conditions for extremum,
linear integral equations of Fredholm and Volterra type, their
iterative solutions.


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ME  MECHANICAL ENGINEERING
ENGINEERING MATHEMATICS Linear Algebra: Matrix
algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity
and differentiability, Mean value theorems, Evaluation of
definite and improper integrals, Partial derivatives, Total
derivative, Maxima and minima, Gradient, Divergence and Curl,
Vector identities, Directional derivatives, Line, Surface
and Volume integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equations (linear and
nonlinear), Higher order linear differential equations with
constant coefficients, Cauchy’s and Euler’s equations, Initial
and boundary value problems, Laplace transforms, Solutions
of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy’s integral
theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and
sampling theorems, Conditional probability, Mean, median,
mode and standard deviation, Random variables, Poisson, Normal
and Binomial distributions.
Numerical Methods: Numerical solutions of linear and nonlinear
algebraic equations Integration by trapezoidal and Simpson’s
rule, single and multistep methods for differential equations.
APPLIED MECHANICS AND DESIGN
Engineering Mechanics: Free body diagrams and equilibrium;
trusses and frames; virtual work; kinematics and dynamics
of particles and of rigid bodies in plane motion, including
impulse and momentum (linear and angular) and energy formulations;
impact.
Strength of Materials: Stress and strain, stressstrain relationship
and elastic constants, Mohr’s circle for plane stress and
plane strain, thin cylinders; shear force and bending moment
diagrams; bending and shear stresses; deflection of beams;
torsion of circular shafts; Euler’s theory of columns; strain
energy methods; thermal stresses.
Theory of Machines: Displacement, velocity and acceleration
analysis of plane mechanisms; dynamic analysis of slidercrank
mechanism; gear trains; flywheels.
Vibrations: Free and forced vibration of single degree of
freedom systems; effect of damping; vibration isolation; resonance,
critical speeds of shafts.
Design: Design for static and dynamic loading; failure theories;
fatigue strength and the SN diagram; principles of the design
of machine elements such as bolted, riveted and welded joints,
shafts, spur gears, rolling and sliding contact bearings,
brakes and clutches.
FLUID MECHANICS AND THERMAL SCIENCES
Fluid Mechanics: Fluid properties; fluid statics, manometry,
buoyancy; controlvolume 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.
HeatTransfer: Modes of heat transfer; one dimensional heat
conduction, resistance concept, electrical analogy, unsteady
heat conduction, fins; dimensionless parameters in free and
forced convective heat transfer, various correlations for
heat transfer in flow over flat plates and through pipes;
thermal boundary layer; effect of turbulence; radiative heat
transfer, black and grey surfaces, shape factors, network
analysis; heat exchanger performance, LMTD and NTU methods.
Thermodynamics: Zeroth, First and Second laws of thermodynamics;
thermodynamic system and processes; Carnot cycle. irreversibility
and availability; behaviour of ideal and real gases, properties
of pure substances, calculation of work and heat in ideal
processes; analysis of thermodynamic cycles related to energy
conversion.
Applications: Power Engineering: Steam Tables, Rankine, Brayton
cycles with regeneration and reheat. I.C. Engines: airstandard
Otto, Diesel cycles. Refrigeration and airconditioning: Vapour
refrigeration cycle, heat pumps, gas refrigeration, Reverse
Brayton cycle; moist air: psychrometric chart, basic psychrometric
processes. Turbomachinery: Peltonwheel, Francis and Kaplan
turbines — impulse and reaction principles, velocity diagrams.
MANUFACTURING AND INDUSTRIAL ENGINEERING
Engineering Materials: Structure and properties of engineering
materials, heat treatment, stressstrain diagrams for engineering
materials.
Metal Casting: Design of patterns, moulds and cores; solidification
and cooling; riser and gating design, design considerations.
Forming: Plastic deformation and yield criteria; fundamentals
of hot and cold working processes; load estimation for bulk
(forging, rolling, extrusion, drawing) and sheet (shearing,
deep drawing, bending) metal forming processes; principles
of powder metallurgy.
Joining: Physics of welding, brazing and soldering; adhesive
bonding; design considerations in welding.
Machining and Machine Tool Operations: Mechanics of machining,
single and multipoint cutting tools, tool geometry and materials,
tool life and wear; economics of machining; principles of
nontraditional machining processes; principles of work holding,
principles of design of jigs and fixtures
Metrology and Inspection: Limits, fits and tolerances; linear
and angular measurements; comparators; gauge design; interferometry;
form and finish measurement; alignment and testing methods;
tolerance analysis in manufacturing and assembly.
Computer Integrated Manufacturing: Basic concepts of CAD/CAM
and their integration tools.
Production Planning and Control: Forecasting models, aggregate
production planning, scheduling, materials requirement planning.
Inventory Control: Deterministic and probabilistic models;
safety stock inventory control systems.
Operations Research: Linear programming, simplex and duplex
method, transportation, assignment, network flow models, simple
queuing models, PERT and CPM.


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MN  MINING ENGINEERING
ENGINEERING MATHEMATICS Linear Algebra: Matrices and
Determinants, Systems of linear equations, Eigen values and
eigen vectors.
Calculus: Limit, continuity and differentiability; Partial
Derivatives; Maxima and minima; Sequences and series; Test
for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface
and volume integrals; Stokes, Gauss and Green’s theorems.
Diferential Equations: Linear and nonlinear 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 nonlinear algebraic
equations; integration of trapezoidal and Simpson’s rule;
single and multistep 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 Ground Control: Methods
of access to deposits; Underground drivages; Drilling methods
and machines; Explosives, blasting devices and practices.
Geotechnical 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; Rock bursts and coal bumps; Slope stability.
Mining Methods and Machinery: Surface mining: layout, development,
loading, transportation and mechanization, continuous surface
mining systems; Underground coal mining: bord and pillar systems,
room and pillar mining, longwall mining, thick seam mining
methods; Underground metal mining : open, supported and caved
stoping methods, stope mechanization, ore handling systems,
mine filling.
Generation and transmission of mechanical, hydraulic and
pneumatic power; Materials handling: haulages, conveyors,
face and development machinery, hoisting systems, 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; Ventilation planning.
Subsurface hazards from fires, explosions, gases, dust and
inundation; Rescue apparatus and practices; Safety in mines,
accident analysis, noise, mine lighting, occupational health
and risk.
Air, water and soil pollution : causes, dispersion, quality
standards, reclamation and control.
Surveying, Mine Planning and Systems Engineering: Fundamentals
of engineering surveying; Levels and leveling, theodolite,
tacheometry, triangulation, contouring, errors and adjustments,
correlation; Underground surveying; Curves; Photogrammetry;
Field astronomy; EDM, total station and GPS fundamentals.
Principles of planning: Sampling methods and practices, reserve
estimation techniques, basics of geostatistics and quality
control, optimization of facility location, cash flow concepts
and mine valuation, open pit design; GIS fundamentals.
Workstudy; Concepts of reliability, reliability of series
and parallel systems. Linear programming, transportation and
assignment problems, queueing, network analysis, basics of
simulation.


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MT  METALLURGICAL ENGINEERING
ENGINEERING MATHEMATICS Linear Algebra: Matrices
and Determinants, Systems of linear equations, Eigen values
and eigen vectors.
Calculus: Limit, continuity and differentiability; Partial
Derivatives; Maxima and minima; Sequences and series; Test
for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface
and volume integrals; Stokes, Gauss and Green’s theorems.
Diferential Equations: Linear and nonlinear 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 nonlinear algebraic
equations; integration of trapezoidal and Simpson’s rule;
single and multistep methods for differential equations.
METALLURGICAL ENGINEERING
Thermodynamics and Rate Processes: Laws of thermodynamics,
activity, equilibrium constant, applications to metallurgical
systems, solutions, phase equilibria, Ellingham and phase
stability diagrams, thermodynamics of surfaces, interfaces
and defects, adsorption and segregation; basic kinetic laws,
order of reactions, rate constants and rate limiting steps;
principles of electro chemistry single electrode potential,
electrochemical cells and polarizations, aqueous corrosion
and protection of metals, oxidation and high temperature corrosion
– characterization and control; heat transfer – conduction,
convection and heat transfer coefficient relations, radiation,
mass transfer – diffusion and Fick’s laws, mass transfer coefficients;
momentum transfer – concepts of viscosity, shell balances,
Bernoulli’s equation, friction factors.
Extractive Metallurgy: Minerals of economic importance, comminution
techniques, size classification, Flotation, gravity and other
methods of mineral processing; agglomeration, pyro hydro
and electrometallurgical processes; material and energy balances;
principles and processes for the extraction of nonferrous
metals – aluminium, copper, zinc, lead, magnesium, nickel,
titanium and other rare metals; iron and steel making – principles,
role structure and properties of slags, metallurgical coke,
blast furnace, direct reduction processes, primary and secondary
steel making, ladle metallurgy operations including deoxidation,
desulphurization, sulphide shape control, inert gas rinsing
and vacuum reactors; secondary refining processes including
AOD, VAD, VOD, VAR and ESR; ingot and continuous casting;
stainless steel making, furnaces and refractories.
Physical Metallurgy: Crystal structure and bonding characteristics
of metals, alloys, ceramics and polymers, structure of surfaces
and interfaces, nanocrystalline and amorphous structures;
solid solutions; solidification; phase transformation and
binary phase diagrams; principles of heat treatment of steels,
cast iron and aluminum alloys; surface treatments; recovery,
recrystallization and grain growth; industrially important
ferrous and nonferrous alloys; elements of Xray and electron
diffraction; principles of scanning and transmission electron
microscopy; industrial ceramics, polymers and composites;
electronic basis of thermal, optical, electrical and magnetic
properties of materials; electronic and optoelectronic materials.
Mechanical Metallurgy: Elasticity, yield criteria and plasticity;
defects in crystals; elements of dislocation theory – types
of dislocations, slip and twinning, source and multiplication
of dislocations, stress fields around dislocations, partial
dislocations, dislocation interactions and reactions; strengthening
mechanisms; tensile, fatigue and creep behaviour; superplasticity;
fracture – Griffith theory, basic concepts of linear elastic
and elastoplastic fracture mechanics, ductile to brittle
transition, fracture toughness; failure analysis; mechanical
testing – tension, compression, torsion, hardness, impact,
creep, fatigue, fracture toughness and formability.
Manufacturing Processes: Metal casting – patterns and moulds
including mould design involving feeding, gating and risering,
melting, casting practices in sand casting, permanent mould
casting, investment casting and shell moulding, casting defects
and repair; hot, warm and cold working of metals, Metal forming
 fundamentals of metal forming processes of rolling, forging,
extrusion, wire drawing and sheet metal forming, defects in
forming; Metal joining  soldering, brazing and welding, common
welding processes of shielded metal arc welding, gas metal
arc welding, gas tungsten arc welding and submerged arc welding;
welding metallurgy, problems associated with welding of steels
and aluminium alloys, defects in welded joints; powder metallurgy;
NDT using dyepenetrant, ultrasonic, radiography, eddy current,
acoustic emission and magnetic particle methods.


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PH  PHYSICS Mathematical
Physics: Linear vector space; matrices; vector calculus; linear
differential equations; elements of complex analysis; Laplace
transforms, Fourier analysis, elementary ideas about tensors.
Classical Mechanics: Conservation laws; central forces, Kepler
problem and planetary motion; collisions and scattering in
laboratory and centre of mass 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; special theory of relativity –
Lorentz transformations, relativistic kinematics, massenergy
equivalence.
Electromagnetic Theory: Solution of electrostatic and magnetostatic
problems including boundary value problems; dielectrics and
conductors; BiotSavart’s and Ampere’s laws; Faraday’s law;
Maxwell’s equations; scalar and vector potentials; Coulomb
and Lorentz gauges; Electromagnetic waves and their reflection,
refraction, interference, diffraction and polarization. Poynting
vector, Poynting theorem, energy and momentum of electromagnetic
waves; radiation from a moving charge.
Quantum Mechanics: Physical basis of quantum mechanics; uncertainty
principle; Schrodinger equation; one, two 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 momenta; time
independent perturbation theory; elementary scattering theory.
Thermodynamics and Statistical Physics: Laws of thermodynamics;
macrostates and microstates; 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; BoseEinstein
condensation; first and second order phase transitions, critical
point.
Atomic and Molecular Physics: Spectra of one and manyelectron
atoms; LS and jj coupling; hyperfine structure; Zeeman and
Stark effects; electric dipole transitions and selection rules;
Xray spectra; rotational and vibrational spectra of diatomic
molecules; electronic transition in diatomic molecules, FranckCondon
principle; Raman effect; NMR and ESR; lasers.
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: Nuclear radii and charge distributions,
nuclear binding energy, Electric and magnetic moments; nuclear
models, liquid drop model  semiempirical mass formula, Fermi
gas model of nucleus, nuclear shell model; nuclear force and
two nucleon problem; Alpha decay, Betadecay, electromagnetic
transitions in nuclei; Rutherford scattering, nuclear reactions,
conservation laws; fission and fusion; particle accelerators
and detectors; elementary particles, photons, baryons, mesons
and leptons; quark model.
Electronics: Network analysis; semiconductor devices; Bipolar
Junction Transistors, Field Effect Transistors, amplifier
and oscillator circuits; operational amplifier, negative feedback
circuits , active filters and oscillators; rectifier circuits,
regulated power supplies; basic digital logic circuits, sequential
circuits, flipflops, counters, registers, A/D and D/A conversion.


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PI  PRODUCTION AND INDUSTRIAL ENGINEERING
ENGINEERING MATHEMATICS Linear Algebra: Matrix
algebra, Systems of linear equations, Eigen values and eigenvectors.
Calculus: Functions of single variable, Limit, continuity
and differentiability, Mean value theorems, Evaluation of
definite and improper integrals, Partial derivatives, Total
derivative, Maxima and minima, Gradient, Divergence and Curl,
Vector identities, Directional derivatives, Line, Surface
and Volume integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equations (linear and
nonlinear), Higher order linear differential equations with
constant coefficients, Cauchy’s and Euler’s equations, Initial
and boundary value problems, Laplace transforms, Solutions
of one dimensional heat and wave equations and Laplace equation.
Complex variables: Analytic functions, Cauchy’s integral
theorem, Taylor and Laurent series.
Probability and Statistics: Definitions of probability and
sampling theorems, Conditional probability, Mean, median,
mode and standard deviation, Random variables, Poisson, Normal
and Binomial distributions.
Numerical Methods: Numerical solutions of linear and nonlinear
algebraic equations Integration by rapezoidal and Simpson’s
rule, single and multistep 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, its influence
on mechanical properties.
Applied Mechanics: Engineering mechanics  equivalent force
systems, free body concepts, equations of equilibrium; strength
of materials  stress, strain and their relationship, Mohr’s
circle, deflection of beams, bending and shear stress, Euler’s
theory of columns.
Theory of Machines and Design: Analysis of planar mechanisms,
cams and followers; governers and fly wheels; design of elements
 failure theories; design of bolted, riveted and welded joints;
design of shafts, keys, spur gears, belt drives, brakes and
clutches.
Thermal Engineering: Fluid mechanics  fluid statics, Bernoulli’s
equation, flow through pipes, equations of continuity and
momentum; thermodynamics  zeroth, first and second law of
thermodynamics, thermodynamic system and processes, calculation
of work and heat for systems and control volumes; air standard
cycles; basics of internal combustion engines and steam turbines;
heat transfer  fundamentals of conduction, convection and
radiation, heat exchangers.
PRODUCTION ENGINEERING
Metal Casting: Casting processes  types and applications;
patterns  types and materials; allowances; moulds and cores
 materials, making, and testing; casting techniques of cast
iron, steels and nonferrous metals and alloys; solidification;
design of casting, gating and risering; casting inspection,
defects and remedies.
Metal Forming: Stressstrain relations in elastic and plastic
deformation; concept of flow stress, deformation mechanisms;
hot and cold working  forging, rolling, extrusion, wire and
tube drawing; sheet metal working processes such as blanking,
piercing, bending, deep drawing, coining and embossing; analysis
of rolling, forging, extrusion and wire /rod drawing; metal
working defects.
Metal Joining Processes: Welding processes  manual metal
arc, MIG, TIG, plasma arc, submerged arc, electroslag, thermit,
resistance, forge, friction, and explosive welding;other joining
processes  soldering, brazing, braze welding; inspection
of welded joints, defects and remedies; introduction to advanced
welding processes  ultrasonic, electron beam, laser beam;
thermal cutting.
Machining and Machine Tool Operations: Basic machine tools;
machining processesturning, drilling, boring, milling, shaping,
planing, gear cutting, thread production, broaching, grinding,
lapping, honing, super finishing; mechanics of machining 
geometry of cutting tools, chip formation, cutting forces
and power requirements, Merchant’s analysis; selection of
machining parameters; tool materials, tool wear and tool life,
economics of machining, thermal aspects of machining, cutting
fluids, machinability; principles and applications of nontraditional
machining processes  USM, AJM, WJM, EDM and Wire cut EDM,
LBM, EBM, PAM, CHM, ECM.
Tool Engineering: Jigs and fixtures  principles, applications,
and design; press tools  configuration, design of die and
punch; principles of forging die design.
Metrology and Inspection: Limits, fits, and tolerances, interchangeability,
selective assembly; linear and angular measurements by mechanical
and optical methods, comparators; design of limit gauges;
interferometry; measurement of straightness, flatness, roundness,
squareness and symmetry; surface finish measurement; inspection
of screw threads and gears; alignment testing of machine tools.
Powder Metallurgy: Production of metal powders, compaction
and sintering.
Polymers and Composites: Introduction to polymers and composites;
plastic processing  injection, compression and blow molding,
extrusion, calendaring and thermoforming; molding of composites.
Manufacturing Analysis: Sources of errors in manufacturing;
process capability; tolerance analysis in manufacturing and
assembly; process planning; parameter selection and comparison
of production alternatives; time and cost analysis; manufacturing
technologies  strategies and selection.
Computer Integrated Manufacturing: Basic concepts of CAD,
CAM, CAPP, cellular manufacturing, NC, CNC, DNC, Robotics,
FMS, and CIM.
INDUSTRIAL ENGINEERING
Product Design and Development: Principles of good product
design, tolerance design; quality and cost considerations;
product life cycle; standardization, simplification, diversification,
value engineering and analysis, concurrent engineering.
Engineering Economy and Costing: Elementary cost accounting
and methods of depreciation; breakeven analysis, techniques
for evaluation of capital investments, financial statements.
Work System Design: Taylor’s scientific management, Gilbreths’s
contributions; productivity  concepts and measurements; method
study, micromotion study, principles of motion economy; work
measurement  stop watch time study, work sampling, standard
data, PMTS; ergonomics; job evaluation, merit rating, incentive
schemes, and wage administration; business process reengineering.
Facility Design: Facility location factors and evaluation
of alternate locations; types of plant layout and their evaluation;
computer aided layout design techniques; assembly line balancing;
materials handling systems.
Production Planning and Inventory Control: Forecasting techniques
 causal and time series models, moving average, exponential
smoothing, trend and seasonality; aggregate production planning;
master production scheduling; MRP and MRPII; order control
and flow control; routing, scheduling and priority dispatching;
push and pull production systems, concept of JIT manufacturing
system; logistics, distribution, and supply chain management;
Inventory  functions, costs, classifications, deterministic
and probabilistic inventory models, quantity discount; perpetual
and periodic inventory control systems.
Operation Research: Linear programming  problem formulation,
simplex method, duality and sensitivity analysis; transportation
and assignment models; network flow models, constrained optimization
and Lagrange multipliers; simple queuing models; dynamic programming;
simulation  manufacturing applications; PERT and CPM, timecost
tradeoff, resource leveling.
Quality Management: Quality  concept and costs, quality
circles, quality assurance; statistical quality control, acceptance
sampling, zero defects, six sigma; total quality management;
ISO 9000; design of experiments  Taguchi method.
Reliability and Maintenance: Reliability, availability and
maintainability; distribution of failure and repair times;
determination of MTBF and MTTR, reliability models; system
reliability determination; preventive maintenance and replacement,
total productive maintenance  concept and applications.
Management Information System: Value of information; information
storage and retrieval system  database and data structures;
knowledge based systems.
Intellectual Property System: Definition of intellectual
property, importance of IPR; TRIPS and its implications, patent,
copyright, industrial design and trademark.


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PY  PHARMACEUTICAL SCIENCES
Natural Products: Pharmacognosy & Phytochemistry – Chemistry,
tests, isolation, characterization and estimation of phytopharmaceuticals
belonging to the group of Alkaloids, Glycosides, Terpenoids,
Steroids, Bioflavanoids, Purines, Guggul lipids. Pharmacognosy
of crude drugs that contain the above constituents. Standardization
of raw materials and herbal products. WHO guidelines. 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, Hormone antagonists,
chemotherapeutic agents including anticancer drugs. Bioassays,
Immuno Pharmacology. Drugs acting on the blood & blood forming
organs. Drugs acting on the renal system.
Medicinal Chemistry: Structure, nomenclature, classification,
synthesis, SAR and metabolism of the following category of
drugs, which are official in Indian Pharmacopoeia and British
Pharmacopoeia. Introduction to drug design. Stereochemistry
of drug molecules. Hypnotics and Sedatives, Analgesics, NSAIDS,
Neuroleptics, Antidepressants, Anxiolytics, Anticonvulsants,
Antihistaminics, Local Anaesthetics, Cardio Vascular drugs
– Antianginal agents Vasodilators, Adrenergic & Cholinergic
drugs, Cardiotonic agents, Diuretics, Antijypertensive 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. Eicosonoids and
their application.
Pharmaceutics : Development, manufacturing standards Q.C.
limits, labeling, 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: Drugs and cosmetics Act and
rules with respect to manufacture, sales and storage. Pharmacy
Act. Pharmaceutical ethics.
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. Xray diffraction analysis
and different chromatographic methods.
Biochemistry. Biochemical role of hormones, Vitamins, Enzymes,
Nucleic acids, Bioenergetics. General principles of immunology.
Immunological. Metabolism of carbohydrate, lipids, proteins.
Methods to determine, kidney & liver function. Lipid profiles.
Microbiology : Principles and methods of microbio0logical
assays of the Pharmacopoeia. Methods of preparation of official
sera and vaccines. Serological and diagnostics tests. Applications
of microorganisms in Bio Conversions and in Pharmaceutical
industry.
Clinical Pharmacy : Therapeutic Drug Monitoring Dosage regimen
in Pregnancy and Lactation, Pediatrics and Geriatrics. Renal
and hepatic impairment. Drug – Drug interactions and Drug
– food interactions, Adverse Drug reactions. Medication History,
interview and Patient counseling.


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TF  TEXTILE ENGINEERING AND FIBRE
SCIENCE ENGINEERING MATHEMATICS Linear
Algebra: Matrices and Determinants, Systems of linear equations,
Eigen values and eigen vectors.
Calculus: Limit, continuity and differentiability; Partial
Derivatives; Maxima and minima; Sequences and series; Test
for convergence; Fourier series.
Vector Calculus: Gradient; Divergence and Curl; Line; surface
and volume integrals; Stokes, Gauss and Green’s theorems.
Diferential Equations: Linear and nonlinear 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 nonlinear algebraic
equations; integration of trapezoidal and Simpson’s rule;
single and multistep methods for differential equations.
TEXTILE ENGINEERING AND FIBRE SCIENCE
Textile Fibres: Classification of textile fibres; Essential
requirements of fibre forming polymers; Gross and fine structure
of natural fibres like cotton, wool and silk. Introduction
to important bast fibres; properties and uses of natural and
manmade fibres; physical and chemical methods of fibre and
blend identification and blend analysis.
Molecular architecture, amorphous and crystalline phases,
glass transition, plasticization, crystallization, melting,
factors affecting Tg and Tm; Process of viscose and acetate
preparation. Polymerization of nylon6, nylon66, poly (ethylene
terephthalate), polyacrylonitrile and polypropylene; Melt
Spinning processes, characteristic features of PET, polyamide
and polypropylene spinning; wet and dry spinning of viscose
and acrylic fibres; post spinning operations such as drawing,
heat setting, towtotop conversion and different texturing
methods.
Methods of investigating fibre structure e.g., Density, Xray
diffraction, birefringence, optical and electron microscopy,
I.R. absorption, thermal methods (DSC, DMA/TMA, TGA); structure
and morphology of manmade fibres, mechanical properties of
fibres, moisture sorption in fibres; fibre structure and property
correlation.
Yarn manufacture and yarn structure & properties: Principles
of opening, cleaning and mixing/blending of fibrous materials,
working principle of modern opening and cleaning equipments;
the technology of carding, carding of cotton and synthetic
fibres; Drafting operation, roller and apron drafting principle,
causes of mass irregularity introduced by drafting; roller
arrangements in drafting systems; principles of cotton combing,
combing cycle, mechanism and function, combing efficiency,
lap preparation; recent developments in comber; Roving production,
mechanism of bobbin building, roving twist; Principle of ring
spinning, forces acting on yarn and traveler; ring & traveler
designs; mechanism of cop formation, causes of end breakages;
working principle of ring doubler and two for one twister,
single and folded yarn twist, properties of double yarns,
production of core spun yarn, compact spinning, principle
of non conventional methods of yarn production such as rotor
spinning, air jet spinning, wrap spinning, twist less spinning
and friction spinning.
Yarn contraction, yarn diameter, specific volume & packing
coefficient; twist strength relationship in spun yarns; fibre
configuration and orientation in yarn; cause of fibre migration
and its estimation, irregularity index, properties of ring,
rotor and airjet yarns.
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, leno and
double cloth constructions. Peirce’s equations for fabric
geometry; elastica model of plain woven fabrics; thickness,
cover and maximum sett of woven fabrics.
Textile Testing: Sampling techniques, sample size and sampling
errors. Measurement of fibre length, fineness, crimp, strength
and reflectance; measurement of cotton fibre maturity and
trash content; HVI and AFIS for fibre testing. Measurement
of yarn count, twist and hairiness; tensile testing of fibres,
yarns 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. FAST and Kawabata instruments and systems
for objective fabric evaluation. Statistical data analysis
of experimental results. Correlation analysis, significance
tests and analysis of variance; frequency distributions and
control charts.
Preparatory Processes: Chemistry and practice of preparatory
processes for cotton, wool and silk. Mercerization of cotton.
Preparatory processes for nylon, polyester and acrylic and
polyester/cotton blends.
Dyeing: Classification of dyes. Dyeing of cotton, wool, silk,
polyester, nylon and acrylic with appropriate dye classes.
Dyeing polyester/cotton and polyester/wool blends. Batchwise
and continuous dyeing machines. Dyeing of cotton knitted fabrics
and machines used. Dye fibre interaction. Introduction to
thermodynamics and kinetics of dyeing. Methods for determination
of wash, light and rubbing fastness. Evaluation of fastness
properties with the help of grey scale.
Printing: Styles of printing. Printing thickeners including
synthetic thickeners. Printing auxiliaries. Printing of cotton
with reactive dyes. Printing of wool, silk, nylon with acid
and metal complex dyes. Printing of polyester with disperse
dyes. Methods of dye fixation after printing. Resist and discharge
printing of cotton, silk and polyester. Printing of polyester/cotton
blends with disperse/reactive combination. Transfer printing
of polyester. Developments in inkjet printing.
Finishing: Mechanical finishing of cotton. Stiff. Soft, wrinkle
resistant, water repellent, flame retardant and enzyme (biopolishing)
finishing of cotton. Milling, decatizing and shrink resistant
finishing of wool. Antistat finishing of synthetic fibre fabrics.
Heat setting of polyester.
Energy Conservation: Minimum application techniques.
Pollution: Environment pollution during chemical processing
of textiles. Treatment of textile effluents.


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XE  ENGINERING SCIENCES
SECTION A. ENGINEERING MATHEMATICS (Compulsory)
Linear Algebra: Algebra of matrices, inverse, rank, system
of linear equations, symmetric, skewsymmetric and orthogonal
matrices. Hermitian, skewHermitian and unitary matrices.
eigenvalues and eigenvectors, diagonalisation of matrices,
CayleyHamilton Theorem.
Calculus: Functions of single variable, limit, continuity
and differentiability, Mean value theorems, Indeterminate
forms and L'Hospital rule, Maxima and minima, Taylor's series,
Fundamental and mean valuetheorems 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,
Half range sine and cosine series.
Complex variable: Analytic functions, CauchyRiemann equations,
Application in solving potential problems, Line integral,
Cauchy's integral theorem and integral formula (without proof),
Taylor's and Laurent' series, Residue theorem (without proof)
and its applications.
Vector Calculus: Gradient, divergence and curl, vector identities,
directional derivatives, line, surface and volume integrals,
Stokes, Gauss and Green's theorems (without proofs) applications.
Ordinary Differential Equations: First order equation (linear
and nonlinear), Second order linear differential equations
with variable coefficients, Variation of parameters method,
higher order linear differential equations with constant coefficients,
Cauchy Euler's equations, power series solutions, Legendre
polynomials and Bessel's functions of the first kind and their
properties.
Partial Differential Equations: Separation of variables method,
Laplace equation, solutions of one dimensional heat and wave
equations.
Probability and Statistics: Definitions of probability and
simple theorems, conditional probability, Bayes Theorem, random
variables, discrete and continuous distributions, Binomial,
Poisson, and normal distributions, correlation and linear
regression.
Numerical Methods: Solution of a system of linear equations
by LU decomposition, GaussJordan and GaussSeidel Methods,
Newton’s interpolation formulae, Solution of a polynomial
and a transcendental equation by NewtonRaphson method, numerical
integration by trapezoidal rule, Simpson’s rule and Gaussian
quadrature, numerical solutions of first order differential
equation by Euler’s method and 4th order RungeKutta 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; Solutions of non linear equations of one variable
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 quadtrature 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.
Computer System Concepts: Representation of fixed and floatingpoint
numbers; Elementary concepts and terminology of basic building
blocks of a computer system and system software.
Fortran: Fortran90 for Numerical Computation: Basic data
types including complex numbers; Arrays; Assignment statements;
Structured Programming Constructs: Loops, Conditional execution,
iteration and recursion; Functions and subroutines; Structured
programming practices.
C language: Basic data types including pointers; Assignments
statements; Control statements; Dynamic memory allocation;
Functions and procedures; Parameter passing mechanisms; Structured
programming practices.
SECTION C. ELECTRICAL SCIENCES
Electric Circuits: Ideal voltage and current sources; RLC
circuits, steady state and transient analysis of DC circuits,
network theorems; single phase AC circuits, resonance and
three phase circuits.
Magnetic Circuits: MMF and flux, and their relationship with
voltage and current; principle of operation of transformer,
equivalent circuit of a practical transformer, efficiency
and regulation of transformer.
Electric Machines: Principle of operation, characteristics
and performance equations of DC machines; principle of operation,
equivalent circuit of threephase Induction machine
Electronic Circuits: Characteristics of pn junction diode,
Zener diode, bipolar junction transistor (BJT) and junction
field effect transistor (JFET); structure of MOSFET, its characteristics
and operation; rectifiers, filters, and regulated power supply,
transistor biasing circuits, operational amplifiers, linear
applications of operational amplifier, oscillators (tuned
and phase shift type)
Digital circuits: Number systems, Boolean algebra, logic
gates, combinational and sequential circuits, FlipFlops (RS,
JK, D and T), Counters.
Measuring Instruments: Cathode Ray oscilloscope, D/A and
A/D converters.
SECTION D. FLUID MECHANICS
Fluid Properties: relation between stress and strain rate
for Newtonian fluids.
Hydrostatics: buoyancy, manometry, forces on submerged bodies.
Eulerian and Lagrangian description of fluid motion, concept
of local and convective accelerations, steady and unsteady
flows, control volume analysis for mass, momentum and energy.
Differential equations of mass and momentum (Euler equation),
Bernoulli’s equation and its applications.
Concept of fluid rotation, vorticity, stream function and
potential function. Potential flow: elementary flow fields
and principle of superposition, potential flow past a circular
cylinder.
Dimensional analysis: concept of geometric, kinematic and
dynamic similarity, importance of nondimensional numbers.
Fullydeveloped pipe flow, laminar and turbulent flows, friction
factor, DarcyWeisbach relation.
Qualitative ideas of boundary layer and separation, streamlined
and bluff bodies, drag and lift forces.
Basic ideas of flow measurement using venturimeter, pitotstatic
tube and orifice plate.
SECTION E. MATERIALS SCIENCE
Structure: Atomic structure and bonding in materials. Crystal
structure of materials, crystal systems, unit cells and space
lattices, determination of structures of simple crystals by
xray diffraction, miller indices of planes and directions,
packing geometry in metallic, ionic and covalent solids. Concept
of amorphous, single and polycrystalline structures and their
effect on properties of materials. Crystal growth techniques.
Imperfections in crystalline solids and their role in influencing
various properties.
Diffusion: Fick’s laws and application of diffusion in sintering,
doping of semiconductors and surface hardening of metals.
Metals and Alloys: Solid solutions, solubility limit, phase
rule, binary phase diagrams, intermediate phases, intermetallic
compounds, ironiron carbide phase diagram, heat treatment
of steels, cold, hot working of metals, recovery, recrystallization
and grain growth. Microstrcture, properties and applications
of ferrous and nonferrous alloys.
Ceramics: Structure, properties, processing and applications
of traditional and advanced ceramics.
Polymers: Classification, polymerization, structure and properties,
additives for polymer products, processing and applications.
Composites: Properties and applications of various composites.
Advanced Materials and Tools: Smart materials, exhibiting
ferroelectric, piezoelectric, optoelectric, semiconducting
behavior, lasers and optical fibers, photoconductivity and
superconductivity, nanomaterials – synthesis, properties and
applications, biomaterials, superalloys, shape memory alloys.
Materials characterization techniques such as, scanning electron
microscopy, transmission electron microscopy, atomic force
microscopy, scanning tunneling microscopy, atomic absorption
spectroscopy, differential scanning calorimetry.
Mechanical Properties: stressstrain diagrams of metallic,
ceramic and polymeric materials, modulus of elasticity, yield
strength, tensile strength, toughness, elongation, plastic
deformation, viscoelasticity, hardness, impact strength, creep,
fatigue, ductile and brittle fracture.
Thermal Properties: Heat capacity, thermal conductivity,
thermal expansion of materials.
Electronic Properties: Concept of energy band diagram for
materials  conductors, semiconductors and insulators, electrical
conductivity – effect of temperature on conductility, intrinsic
and extrinsic semiconductors, dielectric properties.
Optical Properties: Reflection, refraction, absorption and
transmission of electromagnetic radiation in solids.
Magnetic Properties: Origin of magnetism in metallic and
ceramic materials, paramagnetism, diamagnetism, antiferro
magnetism, ferromagnetism, ferrimagnetism, magnetic hysterisis.
Environmental Degradation: Corrosion and oxidation of materials,
prevention.
SECTION F. SOLID MECHANICS
Equivalent force systems; freebody diagrams; equilibrium
equations; analysis of determinate 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; thermal strain; theories
of failure.
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.
Free vibration of single degree of freedom systems.
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: KelvinPlanck 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 vapor phases, PVT behaviour
of simple compressible substances, phase rule, thermodynamic
property tables and charts, ideal and real gases, equations
of state, compressibility chart.
Thermodynamic Relations: Tds relations, Maxwell equations,
JouleThomson coefficient, coefficient of volume expansion,
adiabatic and isothermal compressibilities, Clapeyron equation.
Thermodynamic cycles: Carnot vapor power cycle, Ideal Rankine
cycle, Rankine Reheat cycle, Air standard Otto cycle, Air
standard Diesel cycle, Airstandard Brayton cycle, Vaporcompression
refrigeration cycle.
Ideal Gas Mixtures: Dalton’s and Amagat’s laws, calculations
of properties, airwater vapor mixtures and simple thermodynamic
processes involving them.


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XL  LIFE SCIENCES SECTION
H. CHEMISTRY (Compulsory) Atomic structure and periodicity:
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 (BornHaber Cycle).
s.p. and d Block Elements: Oxides, halides and hydrides of
alkali and alkaline earth metals, B, Al, Si, N, P, and S,
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, equilibrium constants (Kc, Kp and Kx)
for homogeneous reactions,
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,
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. GibbsHelmholtz equation, ClausiusClapeyron
equation, free energy change and equilibrium constant, Troutons
rule, Third law of thermodynamics.
Basis of Organic Reactions Mechanism: Elementary treatment
of SN1, SN2, E1 and E2 reactions, Hoffmann and Saytzeff rules,
Addition reactions, Markonikoff rule and Kharash effect, DielsAlder
reaction, aromatic electrophilic substitution, orientation
effect as exemplified by various functional groups. Identification
of functional groups by chemical tests
StructureReactivity Correlations: Acids and bases, electronic
and steric effects, optical and geometrical isomerism, tautomerism,
conformers, concept of aromaticity
SECTION I. BIOCHEMISTRY
Organization of life. Importance of water. Cell structure
and organelles. Structure and function of biomolecules: Amino
acids, Carbohydrates, Lipids, Proteins and Nucleic acids.
Biochemical separation techniques and characterization: ion
exchange, size exclusion and affinity chromatography, electrophoresis,
UVvisible, fluorescence and Mass spectrometry. Protein structure,
folding and function: Myoglobin, Hemoglobin, Lysozyme, Ribonuclease
A, Carboxypeptidase and Chymotrypsin. Enzyme kinetics including
its regulation and inhibition, Vitamins and Coenzymes.
Metabolism and bioenergetics. Generation and utilization
of ATP. Metabolic pathways and their regulation: glycolysis,
TCA cycle, pentose phosphate pathway, oxidative phosphorylation,
gluconeogenesis, glycogen and fatty acid metabolism. Metabolism
of Nitrogen containing compounds: nitrogen fixation, amino
acids and nucleotides. Photosynthesis: the Calvin cycle.
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: PCR, site directed mutagenesis and DNAmicroarray.
Immune system. Active and passive immunity. Complement system.
Antibody 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
Advanced techniques in gene expression and analysis: PCR
and RTPCR, microarray technology, DNA fingerprinting and
recombinant DNA technology; prokaryotic and eukaryotic expression
systems; Vectors: plasmids, phages, cosmids and BAC.
Architecture of plant genome; plant tissue culture techniques;
methods of gene transfer into plant cells and development
of transgenic plants; manipulation of phenotypic traits in
plants; plant cell fermentations and production of secondary
metabolites using suspension/immobilized cell culture; expression
of animal protein in plants; genetically modified crops.
Animal cell metabolism and regulation; cell cycle; primary
cell culture; nutritional requirements for animal cell culture;
techniques for mass culture of animal cell lines; application
of animal cell culture for production of vaccines, growth
hormones; interferons, cytokines and therapeutic proteins;
hybridoma technology and gene knockout; stem cells and its
application in organ synthesis; gene therapy; transgenic animals
and molecular pharming.
Industrial bioprocesses: microbial production of organic
acids, amino acids, proteins, polysaccharides, lipids, polyhydroxyalkanoates,
antibiotics and pharmaceuticals; methods and applications
of immobilization of cells and enzymes; kinetics of soluble
and immobilized enzymes; biosensors; biofuels; biopesticides;
environmental bioremediation.
Microbial growth kinetics; batch, fedbatch and continuous
culture of microbial cells; media for industrial fermentations;
sterilization of air and media, design and operation of stirred
tank, airlift, plug flow, packed bed, fluidized bed, membrane
and hollow fibre reactors; aeration and agitation in aerobic
fermentations; bioprocess calculations based on material and
energy balance; Down stream processing in industrial biotechnology:
filtration, precipitation, centrifugation, cell disintegration,
solvent extraction, and chromatographic separations, membrane
filtration, aqueous two phase separation.
Bioinformatics; genomics; proteomics and computational biology.
SECTION K. BOTANY
Plant Systematics: Systems of classification (nonphylogenetic
vs. phylogenetic  outline), plant groups, molecular systematics.
Plant Anatomy: Plant cell structure, organization, organelles,
cytoskeleton, cell wall and membranes; anatomy of root, stem
and leaves, meristems, vascular system, their ontogeny, structure
and functions, secondary growth in plants and stellar organization.
Morphogenesis & Development: Cell cycle, cell division, life
cycle of an angiosperm, pollination, fertilization, embryogenesis,
seed formation, seed storage proteins, seed dormancy and germination.
Concept of cellular totipotency, clonal propagation; organogenesis
and somatic embryogenesis, artificial seed, somaclonal variation,
secondary metabolism in plant cell culture, embryo culture,
in vitro fertilization.
Physiology and Biochemistry: Plant water relations, transport
of minerals and solutes, stress physiology, stomatal physiology,
signal transduction, N2 metabolism, photosynthesis, photorespiration;
respiration, Flowering: photoperiodism and vernalization,
biochemical mechanisms involved in flowering; molecular mechanism
of senencensce and aging, biosynthesis, mechanism of action
and physiological effects of plant growth regulators, structure
and function of biomolecules, (proteins, carbohydrates, lipids,
nucleic acid), enzyme kinetics.
Genetics: Principles of Mendelian inheritance, linkage, recombination,
genetic mapping; extrachromosomal inheritance; prokaryotic
and eukaryotic genome organization, regulation of gene expression,
gene mutation and repair, chromosomal aberrations (numerical
and structural), transposons.
Plant Breeding and Genetic Modification: Principles, methods
– selection, hybridization, heterosis; male sterility, genetic
maps and molecular markers, sporophytic and gametophytic self
incompability, haploidy, triploidy, somatic cell hybridization,
markerassisted selection, gene transfer methods viz. direct
and vectormediated, plastid transformation, transgenic plants
and their application in agriculture, molecular pharming,
plantibodies.
Economic Botany: A general account of economically and medicinally
important plants cereals, pulses, plants yielding fibers,
timber, sugar, beverages, oils, rubber, pigments, dyes, gums,
drugs and narcotics. Economic importance of algae, fungi,
lichen and bacteria.
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; plantmicrobe
beneficial interactions.
Ecology and Environment: Ecosystems – types, dynamics, degradation,
ecological succession; food chains and energy flow; vegetation
types of the world, pollution and global warming, speciation
and extinction, conservation strategies, cryopreservation,
phytoremediation.
SECTION L. MICROBIOLOGY
Historical Perspective: Discovery of microbial world; Landmark
discoveries relevant to the field of microbiology; 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;
Enrichment culture techniques for isolation of microorganisms;
Light, phase contrast and electronmicroscopy.
Microbial Taxonomy and Diversity: Bacteria, Archea and their
broad classification; Eukaryotic microbes: Yeasts, molds and
protozoa; Viruses and their classification; Molecular approaches
to microbial taxonomy.
Prokaryotic and Eukaryotic Cells: Structure and Function:
Prokaryotic Cells: cell walls, cell membranes, mechanisms
of solute transport across membranes, Flagella and Pili, Capsules,
Cell inclusions like endospores and gas vesicles; Eukaryotic
cell organelles: Endoplasmic reticulum, Golgi apparatus, mitochondria
and chloroplasts.
Microbial Growth: Definition of growth; Growth curve; Mathematical
expression of exponential growth phase; Measurement of growth
and growth yields; Synchronous growth; Continuous culture;
Effect of environmental factors on growth.
Control of Microorganisms: Effect of physical and chemical
agents; Evaluation of effectiveness of antimicrobial agents.
Microbial Metabolism: Energetics: redox reactions and electron
carriers; An overview of metabolism; Glycolysis; Pentosephosphate
pathway; EntnerDoudoroff pathway; Glyoxalate pathway; The
citric acid cycle; Fermentation; Aerobic and anaerobic respiration;
Chemolithotrophy; Photosynthesis; Calvin cycle; Biosynthetic
pathway for fatty acids synthesis; Common regulatory mechanisms
in synthesis of amino acids; Regulation of major metabolic
pathways.
Microbial Diseases and Host Pathogen Interaction: Normal
microbiota; Classification of infectious diseases; Reservoirs
of infection; Nosocomial infection; Emerging infectious diseases;
Mechanism of microbial pathogenicity; Nonspecific defense
of host; Antigens and antibodies; Humoral and cell mediated
immunity; Vaccines; Immune deficiency; Human diseases caused
by viruses, bacteria, and pathogenic fungi.
Chemotherapy/Antibiotics: General characteristics of antimicrobial
drugs; Antibiotics: Classification, mode of action and resistance;
Antifungal and antiviral drugs.
Microbial Genetics: Types of mutation; UV and chemical mutagens;
Selection of mutants; Ames test for mutagenesis; Bacterial
genetic system: transformation, conjugation, transduction,
recombination, plasmids, transposons; DNA repair; Regulation
of gene expression: repression and induction; Operon model;
Bacterial genome with special reference to E.coli; Phage ?
and its life cycle; RNA phages; RNA viruses; Retroviruses;
Basic concept of microbial genomics.
Microbial Ecology: Microbial interactions; Carbon, sulphur
and nitrogen cycles; Soil microorganisms associated with vascular
plants.
SECTION M. ZOOLOGY
Animal world: Animal diversity, distribution, systematics
and classification of animals, phylogenetic relationships.
Evolution: Origin and history of life on earth, theories
of evolution, natural selection, adaptation, speciation.
Genetics: Principles of inheritance, molecular basis of heredity,
mutations, cytoplasmic inheritance, linkage and mapping of
genes.
Biochemistry and Molecular Biology: Nucleic acids, proteins,
lipids and carbohydrates; replication, transcription and translation;
regulation of gene expression, organization of genome, Kreb’s
cycle, glycolysis, enzyme catalysis, hormones and their actions,
vitamins.
Cell Biology: Structure of cell, cellular organelles and
their structure and function, cell cycle, cell division, chromosomes
and chromatin structure. Eukaryotic gene organization and
expression (Basic principles of signal transduction).
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, hostparasite
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,
stem cells.
Ecology: The ecosystem, habitats, the food chain, population
dynamics, species diversity, zoogerography, 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.


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IT  INFORMATION TECHNOLOGY
ENGINEERING MATHEMATICS Mathematical Logic: Propositional
Logic; First Order Logic.
Probability: Conditional Probability; Mean, Median, Mode
and Standard Deviation; Random Variables; Distributions; uniform,
normal, exponential, Poisson, Binomial.
Set Theory & Algebra: Sets; Relations; Functions; Groups;
Partial Orders; Lattice; Boolean Algebra.
Combinatorics: Permutations; Combinations; Counting; Summation;
generating functions; recurrence relations; asymptotics.
Graph Theory: Connectivity; spanning trees; Cut vertices
& edges; covering; matching; independent sets; Colouring;
Planarity; Isomorphism.
Linear Algebra: Algebra of matrices, determinants, systems
of linear equations, Eigen values and Eigen vectors.
Numerical Methods: LU decomposition for systems of linear
equations; numerical solutions of nonlinear algebraic equations
by Secant, Bisection and NewtonRaphson 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.
FORMAL LANGUAGES AND AUTOMATA
Regular Languages: finite automata, regular expressions,
regular grammar.
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, Algorithm
design by induction), asymptotic analysis (best, worst, average
cases) of time and space, upper and lower bounds, Basic concepts
of complexity classes – P, NP, NPhard, NPcomplete.
Programming Methodology: Scope, binding, parameter passing,
recursion, C programming – data types and declarations, assignment
and control flow statements, 1d and 2d arrays, functions,
pointers, concepts of objectoriented programming  classes,
objects, inheritance, polymorphism, operator overloading.
Operating Systems (in the context of Unix): classical concepts
(concurrency, synchronization, deadlock), processes, threads
and interprocess communication, CPU scheduling, memory management,
file systems, I/O systems, protection and security, shell
programming.
Information Systems and Software Engineering: information
gathering, requirement and feasibility analysis, data flow
diagrams, process specifications, input/output design, process
life cycle, planning and managing the project, design, coding,
testing, implementation, maintenance.
Databases: ER diagrams, relational model, database design,
integrity constraints, normal forms, query languages (SQL),
file structures (sequential, indexed), btrees, transaction
and concurrency control.
Data Communication and Networks: ISO/OSI stack, transmission
media, data encoding, multiplexing, flow and error control,
LAN technologies (Ethernet, token ring), network devices –
switches, gateways, routers, ICMP, application layer protocols
– SMTP, POP3, HTTP, DNS, FTP, Telnet, network security – basic
concepts of public key and private key cryptography, digital
signature, firewalls
Web technologies: Proxy, HTML, XML, basic concepts of cgibin
programming.


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