ENGINEERING MATHEMATICS

Linear Algebra: Matrix algebra, Systems of
linear equations, Eigen values and eigenvectors.

Calculus: Functions of single variable, Limit,
continuity and differentiability, Mean value
theorems, Evaluation of definite and improper
integrals, Partial derivatives, Total derivative,
Maxima and minima, Gradient, Divergence and
Curl, Vector identities, Directional derivatives,
Line, Surface and Volume integrals, Stokes,
Gauss and Green's theorems.

Differential equations: First order equations
(linear and nonlinear), Higher order linear
differential equations with constant
coefficients, Cauchy's and Euler's equations,
Initial and boundary value problems, Laplace
transforms, Solutions of one dimensional heat
and wave equations and Laplace equation.

Complex variables: Analytic functions, Cauchy's
integral theorem, Taylor and Laurent series.

Probability and Statistics: Definitions of
probability and sampling theorems, Conditional
probability, Mean, median, mode and standard
deviation, Random variables, Poisson, Normal
and Binomial distributions.

Numerical Methods : Numerical solutions of linear
and non-linear algebraic equations Integration
by trapezoidal and Simpson's rule, single and
multi-step methods for differential equations.


GENERAL APTITUDE(GA)

Verbal Ability: English grammar, sentence
completion, verbal analogies, word groups,
instructions, critical reasoning and verbal
deduction.


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
& seepage, effective stress principle,
consolidation, compaction, shear strength.

Foundation Engineering: Sub-surface
investigations- scope, drilling bore holes,
sampling, penetration tests, plate load test.
Earth pressure theories, effect of water table,
layered soils. Stability of slopes-infinite slopes,
finite slopes. Foundation types-foundation
design requirements. Shallow foundations-
bearing capacity, effect of shape, water table
and other factors, stress distribution, settlement
analysis in sands & clays. Deep foundations pile
types, dynamic & static formulae, load capacity
of piles in sands & 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 evapo-
transpiration. Crop water requirements. Design
of: lined and unlined canals, waterways, head
works, gravity dams and spillways. Design of
weirs on permeable foundation. Types of
irrigation system, irrigation methods. Water
logging and drainage, sodic soils.


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.

ENGINEERING MATHEMATICS

Linear Algebra: Matrix Algebra, Systems of
linear equations, Eigen values and eigen vectors.

Calculus: Mean value theorems, Theorems of
integral calculus, Evaluation of definite and
improper integrals, Partial Derivatives, Maxima
and minima, Multiple integrals, Fourier series.
Vector identities, Directional derivatives, Line,
Surface and Volume integrals, Stokes, Gauss and
Green's theorems.

Differential equations: First order equation
(linear and nonlinear), Higher order linear
differential equations with constant
coefficients, Method of variation of parameters,
Cauchy's and Euler's equations, Initial and
boundary value problems, Partial Differential
Equations and variable separable method.

Complex variables: Analytic functions, Cauchy's
integral theorem and integral formula, Taylor's
and Laurent' series, Residue theorem, solution
integrals.

Probability and Statistics: Sampling theorems,
Conditional probability, Mean, median, mode
and standard deviation, Random variables,
Discrete and continuous distributions, Poisson,
Normal and Binomial distribution, Correlation
and regression analysis.

Numerical Methods: Solutions of non-linear
algebraic equations, single and multi-step
methods for differential equations.

Transform Theory: Fourier transform, Laplace
transform, Z-transform.


GENERAL APTITUDE(GA)

Verbal Ability: English grammar, sentence
completion, verbal analogies, word groups,
instructions, critical reasoning and verbal
deduction.


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, Wye-Delta
transformation. Steady state sinusoidal analysis
using phasors. Linear constant coefficient
differential equations; time domain analysis of
simple RLC circuits, Solution of network equations
using Laplace transform: frequency domain
analysis of RLC circuits. 2-port network
parameters: driving point and transfer
functions. State equations for networks.

Electronic Devices: Energy bands in silicon,
intrinsic and extrinsic silicon. Carrier transport
in silicon: diffusion current, drift current,
mobility, and resistivity. Generation and
recombination of carriers. p-n junction diode,
Zener diode, tunnel diode, BJT, JFET, MOS
capacitor, MOSFET, LED, p-I-n and avalanche
photo diode, Basics of LASERs. Device
technology: integrated circuits fabrication
process, oxidation, diffusion, ion implantation,
photolithography, n-tub, p-tub and twin-tub
CMOS process.

Analog Circuits: Small Signal Equivalent circuits
of diodes, BJTs, MOSFETs and analog CMOS.
Simple diode circuits, clipping, clamping,
rectifier. Biasing and bias stability of transistor
and FET amplifiers. Amplifiers: single-and
multi-stage, differential and operational,
feedback, and power. Frequency response of
amplifiers. Simple op-amp circuits. Filters.
Sinusoidal oscillators; criterion for oscillation;
single-transistor and op-amp configurations.
Function generators and wave-shaping circuits,
555 Timers. Power supplies.

Digital circuits: Boolean algebra, minimization
of Boolean functions; logic gates; digital IC
families (DTL, TTL, ECL, MOS, CMOS).
Combinatorial circuits: arithmetic circuits, code
converters, multiplexers, decoders, PROMs and
PLAs. Sequential circuits: latches and flip-flops,
counters and shift-registers. Sample and hold
circuits, ADCs, DACs. Semiconductor memories.
Microprocessor(8085): architecture,
programming, memory and I/O interfacing.

Signals and Systems: Definitions and properties
of Laplace transform, continuous-time and
discrete-time Fourier series, continuous-time
and discrete-time Fourier Transform, DFT and
FFT, z-transform. Sampling theorem. Linear
Time-Invariant (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, Routh-Hurwitz criterion,
Bode and Nyquist plots. Control system
compensators: elements of lead and lag
compensation, elements of Proportional-
Integral-Derivative (PID) control. State variable
representation and solution of state equation of
LTI control systems.

Communications: Random signals and noise:
probability, random variables, probability
density function, autocorrelation, power spectral
density. Analog communication systems:
amplitude and angle modulation and
demodulation systems, spectral analysis of these
operations, superheterodyne receivers; elements
of hardware, realizations of analog
communication systems; signal-to-noise ratio
(SNR) calculations for amplitude modulation
(AM) and frequency modulation (FM) for low
noise conditions. Fundamentals of information
theory and channel capacity theorem. Digital
communication systems: pulse code modulation
(PCM), differential pulse code modulation
(DPCM), digital modulation schemes: amplitude,
phase and frequency shift keying schemes (ASK,
PSK, FSK), matched filter receivers, bandwidth
consideration and probability of error
calculations for these schemes. Basics of TDMA,
FDMA and CDMA and GSM.

Electromagnetics: Elements of vector calculus:
divergence and curl; Gauss' and Stokes'
theorems, Maxwell's equations: differential and
integral forms. Wave equation, Poynting vector.
Plane waves: propagation through various media;
reflection and refraction; phase and group
velocity; skin depth. Transmission lines:
characteristic impedance; impedance
transformation; Smith chart; impedance
matching; S parameters, pulse excitation.
Waveguides: modes in rectangular waveguides;
boundary conditions; cut-off frequencies;
dispersion relations. Basics of propagation in
dielectric waveguide and optical fibers. Basics
of Antennas: Dipole antennas; radiation
pattern; antenna gain.