GATE ECE Syllabus 2024 – Download PDF

GATE ECE Syllabus

The GATE (Graduate Aptitude Test in Engineering) is a national-level examination which is conducted every year. There are a total of 29 subject papers in GATE 2024. One of the papers is Electronics and Communication Engineering. Here is the detailed section-wise syllabus for Electronics and Communications (Code: EC) in GATE 2024.  

The GATE syllabus for ECE is divided into eight main sections, covering various topics and concepts. These sections include Engineering Mathematics, Networks, Signals and Systems, Electronic Devices, Analog Circuits, Digital Circuits, Control Systems, Communications, and Electromagnetics, as per the latest GATE Exam Syllabus for ECE.

Section 1- Engineering Mathematics

Linear Algebra

• Basis
• Vector Space
• Matrix Algebra
• Linear Dependence And Independence
• Rank
• Eigenvalues And Eigenvectors
• Solution Of Linear Equations- Existence And Uniqueness

To grasp the concepts of Linear Algebra, click the link to view the video.

Calculus

• Partial Derivatives
• Theorems Of Integral Calculus
• Mean Value Theorems
• Evaluation Of Definite And Improper Integrals
• Line, Surface And Volume Integrals
• Maxima And Minima
• Multiple Integrals
• Taylor Series

Know more about Calculus here.

Differential Equations

• Higher-Order Linear Differential Equations
• First-Order Equations (Linear And Nonlinear)
• Cauchy’s And Euler’s Equations
• Variable Separable Method
• Complementary Function And Particular Integral
• Methods Of Solution Using Variation Of Parameters
• Partial Differential Equations
• Initial And Boundary Value Problems

  Vector Analysis

• Divergence And Curl
• Vector Operations
• Vectors In Plane And Space
• Gradient
• Green’s And Stokes’ Theorems
• Gauss’s Theorem

Complex Analysis

• Series
• Cauchy’s Integral Theorem
• Analytic Functions
• Cauchy’s Integral Formula
• Sequences
• Taylor And Laurent Series
• Convergence Tests
• Residue Theorem

  Probability and Statistics

• Median, Mean, Mode, Standard Deviation
• Probability Distributions
• Combinatorial Probability
• Poisson Distribution
• Binomial Distribution
• Normal Distribution
• Exponential Distribution
• Joint And Conditional Probability

Watch the video on the Probability of Distribution

Section 2- Networks, Signals and Systems

Circuit Analysis

• Thevenin’s Theorem
• Node and Mesh Analysis
• Circuit Analysis 
• Superposition
• Reciprocity
• Norton’s Theorem
• Sinusoidal steady-state analysis: 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 

• Sampling Theorem And Applications
• Fourier Series And Fourier Transform

Discrete-time signals 

• DTFT, DFT, z-transform, discrete-time processing of continuous-time signals
• LTI systems: Definition And Properties, Stability, Causality, Impulse Response, Convolution, Poles And Zeroes, Group Delay, Frequency Response, Phase Delay

 Section 3- Electronic Devices

• Equilibrium Carrier Concentration
• Energy Bands In Intrinsic And Extrinsic Semiconductors
• Direct and Indirect Band-Gap Semiconductors

  Carrier transport   

• Drift  Current
• Diffusion Current
• Mobility   And   Resistivity
• Zener Diode
• Poisson And Continuity Equations
• Generation And Recombination Of Carriers
• P-N Junction
• Photo Diode And Solar Cell
• BJT, MOS Capacitor 
• LED
• MOSFET 

Section 4- Analog Circuits

Diode circuits 

• Clamping, Clipping, and Rectifiers

 BJT and MOSFET amplifiers

• AC Coupling
• Biasing
• Small-Signal Analysis
• Current Mirrors and Differential Amplifiers
• Frequency Response

Op-amp circuits

• Integrators
• Summers
• Amplifiers
• Differentiators
• Schmitt Triggers and Oscillators
• Active Filters

Section 5- Digital Circuits

Number representations

• Binary, integer and floating-point- numbers
• Combinatorial circuits: Arithmetic Circuits, Minimization Of Functions Using Boolean Identities And Karnaugh Map, Boolean Algebra, Logic Gates And Their Static CMOS Implementations, Multiplexers, Code Converters, Decoders  

Sequential circuits

• Finite State Machines
• Counters
• Latches And Flip-Flops
• Shift-Registers
• Setup And Hold Time
• Propagation Delay
• Critical Path Delay

Data converters

• Sample and Hold Circuits
• ADCs & DACs

Semiconductor memories

• SRAM
• ROM
• DRAM

Computer organization 

• Machine Instructions and Addressing Modes
• Data-Path And Control Unit
• ALU
• Instruction Pipelining

Section 6- Control Systems

• Feedback Principle
• Basic Control System Components
• Transfer Function
• Signal Flow Graph
• Block Diagram Representation
• Transient and Steady-State Analysis Of LTI Systems
• State Variable Model and Solution Of State Equation Of LTI Systems
• Routh-Hurwitz And Nyquist Stability Criteria
• Frequency Response
• Bode and Root-Locus Plots
• Lag, Lead And Lag Lead Compensation

Section 7- Communications

Random processes 

• Properties of White Noise
• Autocorrelation and Power Spectral Density
• Filtering of Random Signals Through LTI Systems

Analog communications

• Superheterodyne Receivers
• Angle Modulation and Demodulation
• Amplitude Modulation and Demodulation
• Spectra of AM and FM

Information theory

• Mutual Information and Channel Capacity Theorem
• Entropy

Digital communications 

• DPCM
• PCM
• Digital Modulation Schemes (ASK, PSK, FSK, QAM)
• Inter-Symbol Interference
• Bandwidth
• MAP
• Matched Filter Receiver
• ML Detection
• Hamming Codes
• Fundamentals Of Error Correction
• SNR and BER
• CRC

Section 8- Electromagnetics

Maxwell’s equations 

• Poynting Vector
• Boundary Conditions
• Differential and Integral Forms And Their Interpretation
• Wave Equation

Plane waves and properties

• Propagation Through Various Media
• Polarization
• Reflection And Refraction
• Phase And Group Velocity
• Skin Depth

Transmission lines

• Characteristic Impedance
• Equations
• Impedance Matching
• S-Parameters
• Impedance Transformation
• Smith Chart
• Linear Antenna Arrays
• Light Propagation in Optical Fibers
• Rectangular and Circular Waveguides
• Dipole and Monopole Antennas