Gate · DIGIT-ARC

This section is intended to bring together GATE aspirants.

Those who are new to GATE, here are some details:

GATE
Graduate Aptitude Test in Engineering (GATE) is an all India examination administered and conducted jointly by the
Indian Institute of Science and seven Indian Institutes of Technology on behalf of the National Coordinating Board
- GATE, Department of Education, Ministry of Human Resource Development (MHRD), Government of India.
The GATE committee, which comprises representatives from the administering institutes, is the sole authority for
regulating the examination and declaring the results.

GATE Qualification
Admission to postgraduate programmes with MHRD and some other government scholarship/assistantship at
engineering colleges/institutes in the country are open to those who qualify through GATE. GATE qualified
candidates with Bachelor’s degree in Engineering/Technology/Architecture/Pharmacy or Master’s degree in any
branch of Science/Mathematics/Statistics/Computer Applications are eligible for Master/Doctoral programmes in
Engineering/Technology/Architecture/Pharmacy as well as for Doctoral programmes in relevant branches of
Science. To avail the scholarship, the candidate must secure admission to such a postgraduate programme, as per
the prevailing procedure of the admitting institution. GATE qualification, however, is not required for candidates
with Master’s degree in Engineering /Technology/Architecture/Pharmacy, who may be seeking scholarship/
assistantship for relevant doctoral programmes.
Some institutions specify GATE as the mandatory qualification even for admission of self-financing students to
postgraduate programmes. GATE qualified candidates are also eligible for the award of Junior Research Fellowship
in CSIR Laboratories and CSIR sponsored projects. Some government organizations prescribe GATE qualification
as a requirement for applying to the post of a Scientist / Engineer.

Eligibility
The following categories of candidates are eligible to appear in GATE:
a) Bachelor’s degree holders in Engineering/Technology/Architecture/Pharmacy (4 years after 10+2) and those
who are in the final or pre-final year of such programmes.
b) Master’s degree holders in any branch of Science/Mathematics/Statistics/Computer Applications or equivalent
and those who are in the final or pre-final year of such programmes.
c) Candidates in the second or higher year of the Four-year Integrated Master’s degree programme (Post-B.Sc.)
in Engineering/Technology or in the third or higher year of Five-year Integrated Master’s degree programme
and Dual Degree programme in Engineering/Technology.
d) Candidates with qualifications obtained through examinations conducted by professional societies recognized
by UPSC/AICTE (e.g. AMIE by IE(I), AME by ICE(I)) as equivalent to B.E./B.Tech. Those who have completed
section A or equivalent of such professional courses are also eligible.

Examination related Dates
GATE 2009 will be held from 09:30 hrs to 12:30 hrs on Sunday, 08th February, 2009. Other important dates
related to the examination are listed in Table-1 given below.

More details:
*gate.iitk.ac.in/

GATE - Structure of the Examination
The Latest Pattern From 2007 onwards
\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

Aerospace Engineering AE
Agricultural Engineering AG
Architecture AR
Civil Engineering CE
Chemical Engineering CH
Computer Science & Engg. CS
Chemistry CY
Electronics & Comm. Engg. EC
Electrical Engineering EE
Geology & Geophysics GG
Instrumentation Engineering IN
Information Technology IT
Mathematics MA
Mechanical Engineering ME
Mining Engineering MN
Metallurgical Engineering MT
Physics PH
Production & Industrial Engg. PI
Pharmaceutical Sciences PY
Textile Engg.& Fibre Science TF
Engineering Sciences XE
Life Sciences

Papers XE and XL are general in nature and comprise of the following sections:
Candidates appearing in XE or XL papers are required to answer
Three Sections, one compulsory as indicated below:

ENGINEERING SCIENCES(XE) CODE
Engg. Maths (Compulsory) A
Computational Science B
Electrical Sciences C
Fluid Mechanics D
Materials Science E
Solid Mechanics F
Thermodynamics G

LIFE SCIENCES(XL) CODE
Chemistry (Compulsory) H
Biochemistry I
Biotechnology J
Botany K
Microbiology L
Zoology M

SYLLABUS

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

As i belong to ECE stream, its my kartavya to first post syl of ECE.

ELECTRONICS & 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, resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, LASERs. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.

Analog Circuits: Equivalent circuits (large and small-signal) of diodes, BJTs, JFETs, and MOSFETs. Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and FET amplifiers. Amplifiers: single-and multi-stage, differential, operational, feedback and power. Analysis of amplifiers; frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations. Function generators and wave-shaping circuits. Power supplies.

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

Signals and Systems: Definitions and properties of Laplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, z-transform. Sampling theorems. Linear Time-Invariant (LTI) Systems: definitions and properties; casuality, stability, impulse response, convolution, poles and zeros frequency response, group delay, phase delay. Signal transmission through LTI systems. Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density.

Controls Systems: Basic control system components; block diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative(PID) control. State variable representation and solution of state equation of LTI control systems.

Communications: Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), delta modulation (DM); digital modulation schemes-amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwith consideration and probability of error calculations for these schemes.

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