Subjectwise must read topics for GATE ECE

In this post, I would like to give subjectwise important topics for GATE ECE. Many of the aspirants search for high scoring subjects, but in my point of view, all subjects are equally important to get a good rank. You should not ignore any subject irrespective of its difficulty level. If you are not having enough time to complete entire syllabus, I would suggest completing the following topics from each subject. These are high yielding topics, most of the time you can expect at least one question from each one of it.

It is completely based on previous year trends, need not be true for the upcoming exam. But the following topics surely help you to know what topics are more important and what has to be focused in each subject. One can keep these topics in mind during their revision.

Important topics for GATE ECE:


Engineering Mathematics:
1. Numerical Methods (Newtons raphson's method, RK method and Secant method).
2. Eigen values and eigen vectors.
3. Solution of system of linear equations (Many solutions, one solution etc).
4. Basic calculus like limits, integrations and differentiations.
5. Complex integration and finding residues of given complex function.
6. Order and degree of differential equation and their solutions.
7. Vector Calculus : Gradient, Div, Curl, Gauss theorem, stokes and greens theorem.
8. Finding Multiple integrals.
9. Finding area under curves.
10. Application of Tyler and power series.

Signals and Systems: 

1. Fundamentals of signals (calculation of T, Pavg, Eavg, even, odd and etc.)
2. Fundamentals of systems( Linear, Non-linear, Stable, Unstable, Time variant, time invariant etc.)
3. Fourier Series( finding the existence of FS expansion of given signal  and finding a0,an,bn)
4. Initial and Final Value theorem.
5. DFT and their properties
6. properties transforms.

Network Theory:

1. Basics (KCL,KCL,Mesh,Nodel)
2. Theorems(Th,N,Superposition, Max Power)
3. Two port Networks
4. Transient analysis

EDC:
1. Types of semiconductors.
2. Mass action law.
3. Calculation of concentration of holes and electrons in a given semiconductor.
4. Fermi level concepts
5. PN diode
6. Z-diode as voltage regulator
7. BJT operating principle

Analog Electronics:
1. Op-amp as positive and negative feedback.
2. Study of -ve feedback and calculation of Zin, Zout, Rin,Rout, A,\beta
3. DC and AC analysis of BJT and JFET

Digital Electronics: 
1. Number system
2. Boolean algebra and k-map simplification techniques.
3. Combinational Ckts: Mux, decoder,encoder, HA,FA etc..
4. Sequential ckts: Counters and registers and details of all Flip Flops and their characteristic equations.

Control System:
1. SFG, Block diagram reduction
2. RH- criterion
3. steady state response
4. steady state error.
5. Bode plot (GM,PM, gain cross over freq and phase cross over freq)
6. root locus (find K)
7. Nyquist plot (GM,PM, gain cross over freq and phase cross over freq)

EMT:
1. Maxwell equations both diff and integral form
2. Polarization
3. Wave incidence
4. Transmission lines (finding Zin)
5. Wave guides ( rectangular-> calculation of f,\labda, Vp,Vg...)

Analog and Digital Communications: 
1. Amplitude and Angular modulations.
2. Receivers
3. PCM, Delta modulation, FDM, TDM and SQNR of PCM
4. Digital Carrier modulations and their probability of error calculations.
4. Inter symbol interference and their mitigation.
5. Information theory: Channel capacity, entropy etc.