This post will be updated if any changes are announced by the GATE 2011 organizing institute. This GATE syllabus is a part of GATE 2011 Preparation: A complete Guide. I would also recommend you to refer A set of ‘Must Read’ articles for M.Tech aspirants which I wrote over a year answering questions of M.Tech aspirants.

Also you might be interested in Number of Students appeared in GATE 2010 and GATE 2010 Qualifying marks. Another good informative post is about Highest marks in GATE 2010.

**GATE 2011 Syllabus for ECE is as follows:**

### General Aptitude (GA)

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

**Numerical Ability:** Numerical computation, numerical estimation, numerical reasoning and data interpretation.

### 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.

### 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.

gopi

sir i am studying 3rd year ece i am eligible to attend gate exam

mani

yes,you are eligible for gate

Ajmal

No u cant.Last year onwards only 4th year can attend the exam

beni

sir plzz tel some details about GATE xam.i dnt knw hw wil attend the xam.thnk u

Abhishek varshney

Sir, i have passed b.tech 3rd year from ece and now i am in 4rt year. Sir, please tell me how should i prepartion for gate examination.

Santhosh

H:)I’m santhosh,now I’m doing 4th yr ece,can u tell some ideas to get high score in gate exam?

neha

hiiiiiiiiiiiii m neha .i m 4th yr student of ece.plz tell me gate preparetion book whose i can study

naseen taj

sir I belong to BC(muslim) category ,but due to confusion i have applied OBC-NC in my application.How can I correct it?please help me.

aishwarya

i am 3rd ece .am i elgible 4 attend the gate exam

mounika

im 3rd ece.plz tell me how to get good score in gate exam

Manjula Devi

Hi,

I am Manjula, working in Software company as Test Engineer. I had completed my engineering in Medical Electronics, So would like to know the Syllabus for appearing for Gate Exam.

gaurav dwivedi

I want to do M.tech from IIT

arpit khera

sir,basically i m persuing b.tech 2nd year … suggest some books for prepration of gate 2015..

pavithra

iam ECE 1st yr…….. how can i prepare for my gate exam and when can i apply for it.

akash

I am in 1st year éce and what i am doing in future.

sunita

sir m sunita now in 4th b-tech i need some best short term coaching centres about how 2 approach gate exam n basics of gate exam..

prasad.motam

sir iam prasad i like gate exam sagations please give me

Aishwarya

Sir i am studying 2nd yr b.e ece i wish to get passedin gate how should prepare from now??

anjumani saikia

sir is gate syllabus of 2015,ECE is same with 2011?

anjumani saikia

is the syllabus for ECE gate 2015 is same with gate 2011?