GATE ECE Syllabus

General Aptitude Section:
The General Aptitude section of GATE ECE exam aims to test the candidate's language and analytical skills. It consists of two major components: Verbal Ability and Numerical Ability. The syllabus for the General Aptitude section includes the following topics:

1. Verbal Ability:
- English grammar: Verb-noun agreement, tenses, prepositions, articles, sentence correction, and completion.
- Sentence completion: Choosing the appropriate word or phrase to complete the given sentence.
- Analogies and synonyms: Identifying the relationship between words and finding words with similar meanings.
- Reading comprehension: Understanding and answering questions based on a given passage.

2. Numerical Ability:
- Numerical computation: Basic arithmetic operations, percentages, ratios and proportions, profit and loss, simple and compound interest, time and work, time and distance.
- Data interpretation: Analyzing and interpreting data presented in the form of tables, graphs, and charts.
- Numerical reasoning: Understanding and applying mathematical concepts to solve problems.

Technical Section:
The technical section of GATE ECE exam focuses on the core concepts of Electronics and Communication Engineering. The syllabus for the technical section is divided into various sub-topics:

1. Engineering Mathematics:
- Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues, and eigenvectors.
- Calculus: Limit, continuity, and differentiability, partial derivatives, maxima and minima, sequences and series.
- Differential Equations: First-order equations (linear and nonlinear), second-order linear differential equations with constant coefficients, Laplace transforms, and Fourier series.
- Probability and Statistics: Mean, median, mode, random variables, probability distributions, normal distribution, and sampling theorems.

2. Networks, Signals, and Systems:
- Network analysis: Circuit elements, network theorems, transient response, steady-state sinusoidal response, two-port networks, and network functions.
- Signals and systems: Continuous-time and discrete-time signals, LTI systems, Fourier series representation, Fourier transforms, Laplace transforms, and Z-transforms.

3. Electronic Devices and Circuits:
- Semiconductor physics: Crystal structure, energy band diagrams, intrinsic and extrinsic semiconductors, carrier transport, and recombination.
- Diodes and transistors: PN junction diode, BJT, MOSFET, small-signal analysis, and biasing of amplifiers.
- Amplifiers: Single-stage and multistage amplifiers, feedback amplifiers, power amplifiers, and operational amplifiers.

4. Analog and Digital Circuits:
- Analog circuits: Operational amplifiers, filters, oscillators, and voltage regulators.
- Digital circuits: Boolean algebra, combinational and sequential circuits, number representation and arithmetic circuits, memory and programmable logic.

5. Control Systems:
- Feedback principles: Transfer function, block diagrams, signal flow graphs, and stability analysis.
- Control systems analysis and design: Root locus, frequency response, and state-variable analysis.

6. Communications:
- Analog communication systems: Amplitude modulation