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## GATE 2021 Syllabus for ECE

Get here the syllabus for GATE 2021 exam for Electronics and Communication Engineering. The GATE 2021 syllabus for ECE contains 8 sections. The syllabus of GATE 2021 is different for all the 27 subjects. A total of 55 questions will be asked from the ECE subject and Mathematics. The rest 10 questions will be asked from the General Aptitude. For the **GATE 2021 ECE Syllabus**, candidates can check this page.

The syllabus for ECE is divided into 8 sections – Engineering Mathematics, Networks, Signals and Systems, Electronic Devices, Analog Circuits, Digital Circuits, Control Systems, Communications, and Electromagnetics. These sections are broadly created that further include several topics under each one of them

### Section 1: Engineering Mathematics

**Linear Algebra**: Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues and eigenvectors, 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 Stokes’ theorems.**Complex Analysis:** Analytic functions, Cauchy’s integral theorem, Cauchy’s integral formula, sequences, series, convergence tests, Taylor and Laurent series, residue theorem.**Probability and Statistics:** Mean, median, mode, standard deviation, combinatorial probability, probability distributions, binomial distribution, Poisson distribution, exponential distribution, normal distribution, joint and conditional probability.

### Section 2: Networks, Signals and Systems

**Circuit analysis: **Node and mesh analysis, superposition, Thevenin’s theorem, Norton’s theorem, reciprocity. Sinusoidal steady state analysis: phasors, complex power, maximum power transfer. Time and frequency domain analysis of linear circuits: RL, RC and RLC circuits, solution of network equations using Laplace transform. Linear 2-port network parameters, wye-delta transformation. Continuous-time signals: Fourier series and Fourier transform, sampling theorem and applications.**Discrete-time signals:** DTFT, DFT, z-transform, discrete-time processing of continuous-time signals. LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeroes, frequency response, group delay, phase delay.

### Section 3: Electronic Devices

Energy bands in intrinsic and extrinsic semiconductors, equilibrium carrier concentration, direct and indirect band-gap semiconductors.**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, photodiode and solar cell.

### Section 4: Analog Circuits

**Diode circuits:** clipping, clamping and rectifiers. BJT and MOSFET amplifiers: biasing, ac coupling, small signal analysis, frequency response. Current mirrors and differential amplifiers.**Op-amp circuits: **Amplifiers, summers, differentiators, integrators, active filters, Schmitt triggers and oscillators.

### Section 5: Digital Circuits

**Number representations:** binary, integer and floating-point- numbers. 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.**Sequential circuits:** latches and flip-flops, counters, shift-registers, finite state machines, propagation delay, setup and hold time, critical path delay.**Data converters:** sample and hold circuits, ADCs and DACs. Semiconductor memories: ROM, SRAM, DRAM.**Computer organization:** Machine instructions and addressing modes, ALU, data-path and the control unit, instruction pipelining.

### Section 6: 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.

### Section 7: 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.

Information theory: entropy, mutual information and channel capacity theorem.**Digital communications**: PCM, DPCM, digital modulation schemes (ASK, PSK, FSK, QAM), bandwidth, inter-symbol interference, MAP, ML detection, matched filter receiver, SNR and BER. Fundamentals of error correction, Hamming codes, CRC.

### Section 8: Electromagnetics

**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. Rectangular and circular waveguides, light propagation in optical fibers, dipole and monopole antennas, linear antenna arrays.

### GATE 2021 General Aptitude Syllabus

Candidates can check the General Aptitude from here. It one of the GATE sections and is divided into Verbal Ability and Numerical Ability. There will be 10 questions from this section. Out of these, 5 questions will be of 1 mark each and the other 5 questions are of 2 marks each. The syllabus for General Aptitude is the same in all papers of GATE 2021. Candidates can read the GA syllabus below.

Verbal Ability | Numerical Ability |

English grammar, sentence completion, instructions, verbal analogies, word groups, critical reasoning and verbal deduction. | Numerical computation, numerical reasoning, numerical estimation, and data interpretation. |

### GATE ECE Mock Tests

Make sure to solve a lot of mock tests when you are preparing for the big exam, GATE 2021. After every mock test, analyze your performance and see if any progress is made or not. Identify your weak areas and improve them. For your preparation, we have given the ECE Mock test below.

### GATE 2021 Electronics & Communication Engineering Exam Pattern

Make it a habit to go through the exam pattern as well as the marking scheme of any competitive exam that you prepare for. If you are not aware of the trend and pattern of the questions in the exam then you won’t prepare accordingly. Prepare for the battle you will be fighting and for GATE it begins with the exam pattern. Candidates can go through the exam information below.

Section | Total Marks |

GA | 15% of the total marks |

Mathematics | 15% of the total marks |

ECE – Subject-Based | 70% of the total marks |

GATE 2021 will be held online and is going to be a Computer Based Test (CBT). Candidates will be given 3 hours to complete the GATE. The exam will have two types of questions – Multiple Choice Questions (MCQs) and Numerical Answer Types (NATs). There will be 3 sections – General Aptitude, Mathematics & Subject-based. A total of 65 questions for 100 marks. The negative marking in the exam will be only for MCQs.

**Marking scheme**

Type of question | Negative marking for wrong answer | Marking for correct answer |

MCQs | ⅓ for 1 mark questions⅔ for 2 marks questions | 1 or 2 marks |

NATs | No negative marking | 1 or 2 marks |

### How to Prepare for Electronic & Communication Engineering?

To ace a competitive exam like GATE 2021, you must put hard work and true dedication in your preparation. There is no substitute for these two and you cannot prepare without them. Since it takes months to prepare for such exams, you will also need a lot of patience. To make your preparation more strategic you can follow a few tips. First, go through the exam pattern and the marking scheme of GATE 2021. Collect all the study material and start preparing. Solve mocks and test series every 2-3 days so that you are updated on your preparation. Besides, these you can follow the preparation tips given below.

**Set Targets**

At the beginning of your preparation, make short-term and long-term targets. Through targets, you will be able to set your goals and then work towards them progressively. Make daily targets, weekly targets and monthly targets. Later compare them with each other and observe your progress. Also, try to aim higher. Only then you will reach anywhere near it. If you are able to meet the targets then continue doing it. But if you are unable to complete your targets then identify why and fix it.

**Divide Syllabus**

You can divide your syllabus into small parts or topic wise, whichever way you like. The motive is to prepare in small portions so that it’s easy to learn and understand. You can’t learn too many topics in a day and even if you do, your productivity will not be top-notch. So it’s better to spend a little more time on each topic or separate portions instead of learning the entire thing and later forgetting it.

**Make Notes**

Throughout your preparation, make it a habit of jotting chapter wise notes. Your notes should include important formulas and pointers. Make these short but also informative so that at one glance you get the gist of the entire topic. Use these notes in your daily revision as well as in the last month of revision.

**Time Management**

Prepare your syllabus by solving a lot of mock tests and previous year question papers. The best advantage of solving them is that you get to practice time management well. You should analyze your performance after solving each question paper. Along with time management keep a track of your speed and accuracy. These two are important factors in the exam. Practice both of them well so that you don’t lose marks because of slow speed or less accuracy.

**Be Motivated **

Keep yourself motivated at all times. Self-motivation plays a major role in your preparation. We need daily motivation to push ourselves to our highest level. Also, stay with all types of distractions whether it’s television, internet or social media apps on your cell phone. You must not waste your precious time on such distractions and avoid them at any cost.

### GATE ECE Books for Preparation

For your GATE 2021 preparation select only the best study material. You can go for books from famous authors or books that the past toppers have suggested. Your study material, however, should be limited and should be prepared well.

Title of the book | Name of the Author/ Publication | Link to buy |

GATE 2021 Electronic Engineering 33 Years’ Topic-Wise Previous Solved Papers | GKP | LINK |

GATE 2021 – Guide – Electronics & Communication Engineering | GKP | LINK |

GATE 2021 For Electronics & Communication Engineering | Pearson | LINK |

### What is Electronic and Communication Engineering?

Electronics & Communication Engineering is a discipline in electrical engineering and involves the utilization of nonlinear and active electrical components to design electronic circuits devices, VLSI devices and their systems, etc. The discipline also designs passive electrical components. There are various subfields under this discipline that includes Signal Processing, Telecommunications Engineering, Electromagnetics, Control Engineering, Instrumentation Engineering, Computer Engineering, and VLSI Design Engineering.

### GATE 2021 Preparation FAQs

**Q1. Where should I start my GATE 2021 preparation? Ans**. You can start your preparation with the General Aptitude section. It is the easiest section in the paper and is a very scoring one. It carries 15 marks that you can bag with ease. Next, you can prepare Mathematics and then ECE. all the sections are important in GATE 2021 so do not skip any of them.

**Q2. When should I practice Mock Tests?****Ans**. You can take mock tests anytime. However, you must practice mock tests after every topic you complete. This will help you know if you learned the topic well or not. Also, take mocks on the weekend to see your weekly progress.