GATE ECE Syllabus

Linear Algebra for GATE ECE syllabus

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

Calculus for GATE ECE syllabus

• 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

Differential Equation for GATE ECE syllabus

• 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 for GATE ECE syllabus

• 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 for GATE ECE syllabus

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

Circuit Analysis for GATE ECE syllabus

• 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 for GATE ECE syllabus

• Sampling Theorem And Applications
• Fourier Series And Fourier Transform

Discrete-time signals for GATE ECE syllabus

• 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

Drift Current

Diffusion Current

Zener Diode

Mobility and Resistivity

Poisson And Continuity Equations

Generation And Recombination Of Carriers

P-N Junction

BJT, MOS Capacitor

Photo Diode And Solar Cell

LED

MOSFET

Diode circuit

Clamping, Clipping, and Rectifiers

BJT and MOSFET amplifiers for GATE exam syllabus for ECE.

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

Op-amp circuits for GATE exam syllabus for ECE.

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

Number representations for GATE ECE syllabus 2026

• Binary, integer and floating-point- numbers
• Combinatorial circuits

Sequential circuits for GATE ECE syllabus 2026

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

Data converters for GATE ECE syllabus 2026

• Sample and Hold Circuits
• ADCs & DACs

Semiconductor memories for GATE ECE syllabus 2026

• SRAM
• ROM
• DRAM

Computer organization for GATE ECE syllabus 2026

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

Feedback Principle

Block Diagram Representation

Transfer Function

Transient and Steady-State Analysis Of LTI Systems

Signal Flow Graph

Basic Control System Components

State Variable Model and Solution Of State Equation Of LTI Systems

Routh-Hurwitz And Nyquist Stability Criteria

Bode and Root-Locus Plots

Lag, Lead And Lag Lead Compensation

Block Diagram Representation

Frequency Response

Random processes syllabus for GATE ECE syllabus 2026

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

Analog communications syllabus for GATE ECE syllabus 2026

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

Information theory syllabus for GATE ECE syllabus 2026

• Mutual Information and Channel Capacity Theorem
• Entropy

Digital communications syllabus for GATE ECE syllabus 2026.

• 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

Maxwell’s Equation

Syllabus for GATE ECE syllabus 2026.

• Poynting Vector
• Boundary Conditions
• Differential and Integral Forms And Their Interpretation
• Maxwell’s equations
• Wave Equation

Plane waves and properties syllabus for GATE ECE syllabus 2026.

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

Transmission lines syllabus for GATE ECE syllabus 2026.

• 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

1

Network Theory

1. Fundamentals of Electric Circuits by: Charles K. Alexander, Matthew N.D. Sadiku

2. Engineering Circuit Analysis by: William H.Hayt, Jr. Jack E. Kemmerly, Steven M. Durbin

3. Network Analysis by: M.E. Van Valkenburg

2

Electromagnetics

1. Principles of Electromagnetics by: Matthew N.D. Sadiku, S.V. Kulkarni

2. Engineering Electromagnetics by: W.H. Hayt, Jr JA Buck, M Jaleel Akhtar

3. Electromagnetic waves and Radiating Systems : Edward C. Jordan, Keith G. Balmain

3

Engineering Mathematics

1. Advanced Engineering Mathematics by: Erwin kreyszig

2. Wiley Precise textbook Series by:

Volume I

Volume II

3.Higher Engineering Mathematics by: B.S. Grewal

4

Signals And Systems

1. Signals And Systems by: Oppenheim Alan V, Willsky Alan S, Nawab S. Hamid

2.Signals and Systems by: Simon Haykin Barry Van Veen

3. Signals and Systems by: A. Anand Kumar

5

Analog Electronics And Circuits

1. Integrated Electronics by: Jacob Millman Christos C Halkias

2. Electronic Devices and Circuit by: Robert L. Boylestad Louis Nashelsky

3. Microelectronic Circuits: Theory an Adel S Sedra Kenneth C. Sm

6

Control Systems

1. Automatic Control Systems by: Benjamin.C.kuo, Farid Golnaraghi

2. Control Systems Engineering by: Norman.S.Nise

3. Modern Control Engineering Katsuhiko Data

7

Digital Electronics

1. Digital Logic and Computer design by: M Morris Mano

2. Digital System by: Ronald J. Tocci, Gregory L. Moss, Neal S. Widmer

3. Modern Digital Electronics by: R.P. Jain

8

Communications

1. Modern Digital and Analog Communication System B.P. Lathi

2. Principles of Communication Systems by: Herbert Taub, Donald Schilling, Goutam Saha

3. Communication Systems by: Simon Haykin

9

Electronic Devices

1. Semiconductor Physics and Devices by: Donald A Neamen, Dhrubes Biswas

2. Solid State Electronic Devices by: Ben G. Streetman, Sanjay Kumar Banerjee

Particulars

Details

Mode of Examination

Computer Based Test (CBT)

Language of examination

English

Duration

3 Hours*

Number of papers (Subjects)

30 test papers

Sections

General Aptitude (GA) + Candidate’s Selected Subject(s)

Type of Questions

(a) Multiple Choice Question (MCQ)

(b) Multiple Select Question (MSQ)

(c) Numerical Answer Type (NAT)

Testing of abilities

(a) Recall

(b) Comprehension

(c) Application

(d) Analysis & Synthesis

Distribution of Marks in all Papers EXCEPT papers AR, CY, DA, EY, GE, GG, MA, PH, ST, XH, and XL

General Aptitude: 15 marks

Engineering Mathematics**: 13 marks

Subject Questions: 72 marks

Total: 100 marks

(**XE includes Engineering Mathematics section XE-A of 15 marks)

Distribution of Marks in papers AR, CY, DA, EY, GE, GG, MA, PH, ST, XH, and XL

General Aptitude: 15 marks

Subject Questions: 85 marks

Total: 100 marks

Marking Scheme

Questions carry either 1 mark or 2 marks

Negative Marking

For a wrong answer chosen in an MCQ, there will be negative marking.

For a 1-mark MCQ, 1/3 mark will be deducted for a wrong answer.

For a 2-mark MCQ, 2/3 mark will be deducted for a wrong answer.

There is no negative marking for wrong answer(s) to MSQ or NAT questions.

There is no partial marking in MSQ.

Paper Code

General Aptitude (GA) Marks

Subject: Compulsory Section

Subject: Optional Section(s)

Total Marks

Total Time* (Minutes)

AE, AG, BM, BT, CE, CH, CS, EC, EE, ES, IN, ME, MN, MT, NM, PE, PI, TF; Subject marks in these papers include questions on Engineering Mathematics (13 marks), which are paper-specific.

15

85

—

100

180

CY, DA, EY, MA, PH, ST

15

85

—

100

180

AR: Part A is Common and Compulsory. Part B1/B2 can be selected during the exam. B1 – Architecture or B2 – Planning

15

60

25

100

180

GE: Part A is Common and Compulsory. Part B1/B2 can be selected during the exam. B1 – Surveying and Mapping or B2 – Image Processing and Analysis

15

55

30

100

180

GG: Part A is Common and Compulsory. Part B1/B2 must be chosen at the time of application. B1 – Geology or B2 – Geophysics

15

25

60

100

180

XE: Section A (Engineering Mathematics) is Common and Compulsory. Applicants must select any TWO of the other sections during the exam.

15

15

2 x 35

100

180

XH: Section B1 (Reasoning and Comprehension) is Common and Compulsory. Applicants must select any ONE of the other sections at the time of application.

15

25

60

100

180

XL: Section P (Chemistry) is Common and Compulsory. Applicants must select any TWO of the other sections during the exam.

15

25

2 x 30

100

180

Branch / Discipline

Recommended Safe Score (General Category)

Top PSUs / Opportunities

Computer Science (CS)

850 – 880

IOCL, ONGC, HPCL, BARC

Electronics & Communication (EC)

820 – 850

BHEL, NTPC, DRDO, BEL

Electrical Engineering (EE)

800 – 850

Power Grid, NTPC, IOCL

Mechanical Engineering (ME)

780 – 820

ONGC, IOCL, GAIL, BHEL

Civil Engineering (CE)

750 – 800

NBCC, EIL, SAIL, NHAI

Instrumentation Engineering (IN)

760 – 800

HPCL, GAIL, BARC

Chemical Engineering (CH)

720 – 760

IOCL, GAIL, HPCL

Metallurgical Engineering (MT)

700 – 740

SAIL, BHEL, RINL

Production / Industrial (PI)

720 – 750

BHEL, IOCL

Environmental Engineering (ES)

700 – 740

NPCIL, EIL, GAIL

Approximate GATE Score Ranges (General Category):

Branch

Top IITs

Newer IITs

Computer Science and Engineering (CSE) / Data Science / Artificial Intelligence / Machine Learning:

750 – 850+ (Can go even higher for highly sought-after specializations at IITB, IITD, IISc)

650 – 750+

Electrical Engineering (EE) / Electronics & Communication Engineering (ECE) / VLSI / Power Electronics / Instrumentation:

700 – 800+

600 – 700+

Mechanical Engineering (ME) / Thermal Engineering / Design Engineering / Manufacturing:

680 – 780+

580 – 680+

Civil Engineering (CE) / Structural Engineering / Transportation Engineering / Environmental Engineering / Geotechnical Engineering:

650 – 750+

550 – 650+

Chemical Engineering (CH):

600 – 700+

500 – 600+

2025

QUALIFYING MARKS

TOPPERS MARKS

GEN

OBC

SC/ST/PH

RANK

MARKS

SCORE

CE

29.2

26.2

19.4

1

89.02

1000

ME

35.8

32.2

23.8

1

95.33

1000

EE

25

22.5

16.6

1

81.67

1000

EC

25

22.5

16.6

1

82.67

1000

CS

29.2

26.2

19.4

1

100

1000

DA

29

26.1

19.3

1

96.33

1000

CH

27.7

24.9

18.4

1

75.33

1000

Code of the First Paper

Code of the Second Paper

Code of the First Paper

Code of the Second Paper

AE

CE, ME, XE

GG

GE

AG

CE

IN

BM, EC, EE, ME

AR

CE, GE

MA

CS, DA, PH, ST

BM

BT, IN

ME

AE, DA, IN, NM, PI, XE

BT

BM, XL

MN

–

CE

AE, AG, AR, ES, GE, NM, XE

MT

XE

CH

ES, PE, XE

NM

CE, ME

CS

DA, EC, GE, MA, PH, ST

PE

CH

CY

XE, XL

PH

CS, DA, EC, EE, MA, XE

DA

CS, EC, EE, MA, ME, PH, ST, XE

PI

ME, XE

EC

CS, DA, EE, IN, PH

ST

CS, DA, MA, XH

EE

DA, EC, IN, PH

TF

–

ES

CE, CH, GE

XE

AE, CE, CH, CY, DA, ME, MT, PH, PI

EY

XL

XH

ST

GE

AR, CE, CS, ES, GG

XL

BT, CY, EY