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Old June 3rd, 2014, 08:26 AM
Default VITMEE question paper

sir plz send me previous VITMEE papers for CS branch at impisha@gmail.com
i need the papers urgently
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Old June 3rd, 2014, 05:02 PM
Default Previous VITMEE ECE Branch Question Papers

Can you give me question paper for VITMEE entrance examination organized by Vellore Institute of Technology conducts VITMEE ?
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Old June 4th, 2014, 10:34 AM
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Join Date: May 2011
Default Re: Previous VITMEE ECE Branch Question Papers

Here I am giving you question paper pattern for VITMEE ECE branch entrance examination organized by Vellore Institute of Technology conducts VITMEE

VITMEE Paper Pattern:
The exam is a computer based test
Total number of Questions: 110
Maximum Marks: 100
No Negative marks for wrong answers

Main Topics
The main topics included in this exam are:
Engineering Mathematics
Analog circuits
Digital Circuits
Control Systems
Communication Systems

Detailed Syllabus

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.

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

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

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 Nortan's,
maximum power transfer, wye-delta transformation, steady state sinusoidal analysis using phasors, fourier series,
linear constant coefficient differential and difference equations; time domain analysis of simple RLC circuits.
Laplace and Z transforms: frequency domain analysis of RLC circuits, convolution, 2-port network parameters,
driving point and transfer functions, state equation for networks.

ANALOG CIRCUITS: Characteristics and equivalent circuits (large and small signal) of diodes, BJT, JFETs and
MOSFET simple diode circuits: clipping, clamping, rectifier, biasing and bias stability of transistor and FET
amplifiers. Amplifiers: single and multi-stage, differential, operational, feedback and power. Analysis of amplifiers;
frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators: criterion for oscillation;
single-transistor and op-amp configurations. Function generators and waveshaping circuits, Power supplies.

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

Basic control system components; block diagrammatic description, reduction of block diagrams, properties of
systems: linearity, time-invariance, stability, causality. Open loop and closed loop (feedback) systems. Special
properties of linear time-invariance (LTI) systems-transfer function, impulse response, poles, zeros, their
significance 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 system 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 compensations, elements of proportional-integral-Derivative (PID)
control. State variable representation and solution of state equation for LTI systems.

Fourier analysis of signals - amplitude, phase and power spectrum, auto-correlation and cross-correlation and their
Fourier transforms. Signal transmission through linear time-invariant (LTI) systems, impulse response and
frequency response, group delay phase delay. Analog modulation systems-amplitude and angle modulation and
demodulation systems, spectral analysis of these operations, superheterodyne receivers, elements of hardwares
realizations of analog communication systems. Basic sampling theorems. Pulse code modulation (PCM),
differential pulse code modulation (DPCM), delta modulation (DM). Digital
modulation schemes: amplitude,
phase and frequency shift keying schemes (ASK, PSK, FSK). Multiplexing - time division and frequency division.
Additive Gaussian noise; characterization using correlation, probability density function (PDF), power spectral
density (PSD). Signalto- noise ratio (SNR) calculations for amplitude modulation (AM) and frequency
modulation (FM) for low noise conditions.

Elements of vector calculus: gradient, divergence and curl; Gauss and strokes theorems, maxwells equation:
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 impedence;
impedence transformation; smith chart; impedence matching pulse excitation. Wave guides: modes in rectangular
waveguides; boundary conditions; cut-off frequencies; dispersion relations. Antennas; Dipole antennas; antenna
arrays; radiation pattern; reciprocity theorem, antenna gain.
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