#### Syllabus for GATE ECE Exam 2021

GATE ECE 2021 Syllabus will be released by IIT Bombay officials in the month of August-September 2020 (Tentatively). GATE applicants must be aware of the GATE 2021 ECE Syllabus in order to start the preparation of GATE 2021 ECE. Thus, by referring to the GATE Electronics Syllabus, candidates can effectively plan their preparation strategy and score higher scores. Check the GATE examination pattern.

GATE 2021 Electronics (ECE) paper will contain a total of 65 questions of 100 marks.

Below is a detailed GATE syllabus for GATE 2021 Electronics paper with all main sections and core subjects.

#### 1. GENERAL APTITUDE

###### Verbal Ability:

Grammar, Vocabulary, Coding-Decoding & Series, Directions, Blood Relations, Arrangements, Syllogism, Inference & Assumptions, Clocks and Puzzles.

###### Numerical Ability:

Fundamentals, Equations, Percentage, Averages, Ratio & Propotions, Mixture and Alligations, Data Interpretation & Data Suffiency, Time, Speed & Distance, Time & Work, Set Theory & Venn Diagrams, Progression, Functions & Graphs, Logarthims, Permutations and Combinations, Probability, Geometry & Mensuration.

#### 2. ENGG. MATHEMATICS

###### Linear Algebra:

Vector space, basis, linear dependence and independence, matrix algebra, eigen values and eigen vectors, rank, solution of linear equations – existence and uniqueness.

###### Calculus:

Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series.

###### Differential equations:

First order equations (linear and nonlinear), higher order linear differential equations, Cauchy’s and Euler’s equations, methods of solution using variation of parameters, complementary function and particular integral, partial differential equations, variable separable method, initial and boundary value problems.

###### Vector Analysis:

Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss’s, Green’s and Stoke’s theorems.

###### Complex Analysis:

Analytic functions, Cauchy’s integral theorem, Cauchy’s integral formula; Taylor’s and Laurent’s series, residue theorem.

###### Numerical Methods:

Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria.

###### Probability and Statistics:

Mean, median, mode and standard deviation; combinatorial probability, probability distribution functions – binomial, Poisson, exponential and normal; Joint and conditional probability; Correlation and regression analysis.

#### 3. ECE TECHNICAL SUBJECTS

###### Networks, Signals and Systems:

Network 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; Time domain analysis of simple linear circuits; Solution of network equations using Laplace transform; Frequency domain analysis of RLC circuits; Linear 2?port network parameters: driving point and transfer functions; State equations for networks. Continuous-time signals: Fourier series and Fourier transform representations, sampling theorem and applications; Discrete-time signals: discrete-time Fourier transform (DTFT), DFT, FFT, Z-transform, interpolation of discrete-time signals; LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay, digital filter design techniques.

###### Electronic Devices:

Energy bands in intrinsic and extrinsic silicon; Carrier transport: diffusion current, drift current, mobility and resistivity; Generation and recombination of carriers; Poisson and continuity equations; P-N junction, Zener diode, BJT, MOS capacitor, MOSFET, LED, photo diode and solar cell; Integrated circuit fabrication process: oxidation, diffusion, ion implantation, photolithography and twin-tub CMOS process.

###### Analog Circuits:

Small signal equivalent circuits of diodes, BJTs and MOSFETs; Simple diode circuits: clipping, clamping and rectifiers; Single-stage BJT and MOSFET amplifiers: biasing, bias stability, mid-frequency small signal analysis and frequency response; BJT and MOSFET amplifiers: multi-stage, differential, feedback, power and operational; Simple op-amp circuits; Active filters; Sinusoidal oscillators: criterion for oscillation, single-transistor and opamp configurations; Function generators, wave-shaping circuits and 555 timers; Voltage reference circuits; Power supplies: ripple removal and regulation.

###### Digital circuits:

Number systems; Combinatorial circuits: Boolean algebra, minimization of functions using Boolean identities and Karnaugh map, logic gates and their static CMOS implementations, arithmetic circuits, code converters, multiplexers, decoders and PLAs; Sequential circuits: latches and flip?flops, counters, shift?registers and finite state machines; Data converters: sample and hold circuits, ADCs and DACs; Semiconductor memories: ROM, SRAM, DRAM; 8-bit microprocessor (8085): architecture, programming, memory and I/O interfacing.

###### Control Systems:

Basic control system components; Feedback principle; Transfer function; Block diagram representation; Signal flow graph; Transient and steady-state analysis of LTI systems; Frequency response; Routh-Hurwitz and Nyquist stability criteria; Bode and root-locus plots; Lag, lead and lag-lead compensation; State variable model and solution of state equation of LTI systems.

###### Communications:

Random processes: autocorrelation and power spectral density, properties of white noise, filtering of random signals through LTI systems; Analog communications: amplitude modulation and demodulation, angle modulation and demodulation, spectra of AM and FM, superheterodyne receivers, circuits for analog communications; Information theory: entropy, mutual information and channel capacity theorem; Digital communications: PCM, DPCM, digital modulation schemes, amplitude, phase and frequency shift keying (ASK, PSK, FSK), QAM, MAP and ML decoding, matched filter receiver, calculation of bandwidth, SNR and BER for digital modulation; Fundamentals of error correction, Hamming codes; Timing and frequency synchronization, inter-symbol interference and its mitigation; Basics of TDMA, FDMA and CDMA.

###### Electromagnetics:

Electrostatics; Maxwell’s equations: differential and integral forms and their interpretation, boundary conditions, wave equation, Poynting vector; Plane waves and properties: reflection and refraction, polarization, phase and group velocity, propagation through various media, skin depth; Transmission lines: equations, characteristic impedance, impedance matching, impedance transformation, S-parameters, Smith chart; Waveguides: modes, boundary conditions, cut-off frequencies, dispersion relations; Antennas: antenna types, radiation pattern, gain and directivity, return loss, antenna arrays; Basics of radar; Light propagation in optical fibers.

#### GATE Subject-wise Weightage for ECE

In addition to understanding the GATE Electronics Syllabus, it is also important for GATE candidates to refer the subject-wise weighting for the GATE 2021 ECE Exam. By checking the GATE's subject-wise weighting analysis, students will understand the most important subject to be considered for the score of more marks in the GATE 2021 exam. We hope that this GATE Electronics Weightage analysis will be useful in the preparation of the GATE ECE 2021 exam. You can analyze the frequently asked topics in GATE from the subject Wise Marks Distribution to crack GATE 2021 Exam. The subject wise weighting for GATE ECE 2021 is given below:

GATE SUBJECTS GATE 2012 GATE 2013 GATE 2014 GATE 2015 GATE 2016 GATE 2017 GATE 2018 GATE 2019 GATE 2020
Engineering Mathematics* 14% 10% 11% 13% 12% 14% 14% 13% 13%
Network Theory* 11% 15% 11% 9% 8.3% 5.5% 7% 5% 5%
Electronics Devices & Circuits 11% 3% 9% 10% 9.5% 11% 12% 13% 10%
Analog Electronics* 9% 15% 9% 8% 9% 9% 8% 11% 13%
Digital Circuits 4% 6% 9% 9% 8.3% 10% 11% 6% 9%
Signals & Systems* 8% 11% 11% 9% 9% 9.5% 7% 8% 8%
Control Systems* 7% 11% 8% 10% 8% 9% 7% 10% 10%
Communication 9% 9% 10% 8% 9% 9% 11% 10% 9%
Electromagnetic Theory 12% 5% 7% 9% 11.3% 8% 8% 9% 8%
General Aptitude* 15% 15% 15% 15% 15% 15% 15% 15% 15%

#### How to effectively study GATE Syllabus 2021?

1. Check all the Important Topics & Mark them.

2. Collect previous year GATE question paper.

3. Make study notes of most asked questions on important topics.

4. Update yourself with online study notes from the GATE syllabus.

5. Practice complex topics more & more in order to solve them easily for the exam.

6. Prepare calendar on the weekly and monthly basis to study the subjects on the priority basis.

7. Start revision of the most frequently asked topics in the syllabus before 15 days of the exam.