GATE + IES(ESE): ECE Test Series Syllabus

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Test Name

Number of Test

Topic-wise Test

20

Subject-wise Test

17

Full ESE Test

5

Full GATE Test

10

Total Number of Test

52

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A. Topic-wise Tests – Two Half Test in a subject

Each test carries 20 Marks and consists of 13 Questions. The duration of the test will be 45 Minutes.

           Type of question             Number of question
1 Mark Question 6
2 Marks Question 7
Total Number of Questions 13

Subject: 1. Networks Theory

Subject Test Syllabus
01. Network solution methods: nodal and mesh analysis; Network theorems: superposition, Thevenin and Norton’s, maximum power transfer; Wye‐Delta transformation.
02. Steady state sinusoidal analysis using phasors; Time domain analysis of simple linear circuits; Solution of network equations using Laplace transform; Frequency domain analysis of RLC circuits; Linear 2‐port network parameters: driving point and transfer functions; State equations for networks.

Subject: 2. Signals and Systems

Subject Test Syllabus
03. Continuous-time signals: Fourier series and Fourier transform representations, sampling theorem and applications; Discrete-time signals: discrete-time Fourier transform (DTFT), DFT, FFT, Z-transform, interpolation of discrete-time signals.
04. LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay, digital filter design techniques.

Subject: 3. Electronic Devices

Subject Test Syllabus
05. Energy bands in intrinsic and extrinsic silicon; Carrier transport: diffusion current, drift current, mobility and resistivity; Generation and recombination of carriers; Poisson and continuity equations; P-N junction, Zener diode, BJT
06. MOS capacitor, MOSFET, LED, photodiode and solar cell; Integrated circuit fabrication process: oxidation, diffusion, ion implantation, photolithography and twin-tub CMOS process.

Subject: 4. Analog Circuits

Subject Test Syllabus
07. Small signal equivalent circuits of diodes, BJTs and MOSFETs; Simple diode circuits: clipping, clamping and rectifiers; Single-stage BJT and MOSFET amplifiers: biasing, bias stability, mid-frequency small signal analysis and frequency response; BJT and MOSFET amplifiers: multi-stage.
08. Differential, feedback, power and operational; Simple op-amp circuits; Active filters; Sinusoidal oscillators: criterion for oscillation, single-transistor and op amp configurations; Function generators, wave-shaping circuits and 555 timers; Voltage reference circuits; Power supplies: ripple removal and regulation.

Subject: 5. Digital Circuits

Test No. Test Syllabus
09. Number systems; 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 and PLAs; Sequential circuits: latches and flip‐flops, counters, shift‐registers and finite state machines.
10. Data converters: sample and hold circuits, ADCs and DACs; Semiconductor memories: ROM, SRAM, DRAM; 8-bit microprocessor (8085): architecture, programming, memory and I/O interfacing.

Subject: 6. Control Systems

Test No. Test Syllabus
11. 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.
12. Bode and root-locus plots; Lag, lead and lag-lead compensation; State variable model and solution of state equation of LTI systems.

Subject: 7. Communications

Test No. Test Syllabus
13. 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, super heterodyne receivers, circuits for analog communications; Information theory: entropy, mutual information and channel capacity theorem.
14. Digital communications: PCM, DPCM, digital modulation schemes, amplitude, phase and frequency shift keying (ASK, PSK, FSK), QAM, MAP and ML decoding, matched filter receiver, calculation of bandwidth, SNR and BER for digital modulation; Fundamentals of error correction, Hamming codes; Timing and frequency synchronization, inter-symbol interference and its mitigation; Basics of TDMA, FDMA and CDMA.

Subject: 8. Electromagnetics

Test No. Test Syllabus
15. Electrostatics; 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
16. Transmission lines: equations, characteristic impedance, impedance matching, impedance transformation, S-parameters, Smith chart; Waveguides: modes, boundary conditions, cut-off frequencies, dispersion relations; Antennas: antenna types, radiation pattern, gain and directivity, return loss, antenna arrays; Basics of radar; Light propagation in optical fibers.

Subject: 9. Engineering Mathematics

Test No. Test Syllabus
17.

Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigen values and eigen vectors, 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.

18.

Vector Analysis: Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss’s, Green’s and Stoke’s theorems.

Complex Analysis: Analytic functions, Cauchy’s integral theorem, Cauchy’s integral formula; Taylor’s and Laurent’s series, residue theorem.

Numerical Methods: Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria.

Probability and Statistics: Mean, median, mode and standard deviation; combinatorial probability, probability distribution functions – binomial, Poisson, exponential and normal; Joint and conditional probability; Correlation and regression analysis.

Subject: 10. General Aptitude

Test No. Test Syllabus
19. Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.
20. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.

                                                 

B. Subjectwise Test

Each test carries 50 Marks and consists of 30 Questions. The duration of the test will be 90 Minutes.

           Type of question             Number of question
1 Mark Question 10
2 Marks Question 20
Total Number of Questions 30
Test No. Test subject
21. Networks
22. Signals and systems
23. Electronic Devices
24. Analog Circuits
25. Digital Circuits
26. Control Systems
27. Communications
28. Electromagnetics
29. Engineering Mathematics
30. General Aptitude
31. Basic Electrical Engineering
32. Materials Science
33. Electronic Measurements and Instrumentation
34. Computer Organization and Architecture
35. Advanced Electronics Topics:
36. Advanced Communication Topics
37. Electro Magnetics:

 C. Full Test – GATE & IES (ESE) Grand Test

1. Full ESE(IES) Test

Each test carries 300 Marks and consists of 150 Questions. The duration of the test will be 180 Minutes.

Test No. Test subject
38. ESE – 1
39. ESE – 2
40. ESE – 3
41. ESE – 4
42. ESE – 5

2. Full GATE Test

Each test carries 100 Marks and consists of 65 Questions. The duration of the test will be 180 Minutes.

Test No. Test subject
43. GATE – 1
44. GATE – 2
45. GATE – 3
46. GATE – 4
47. GATE – 5
48. GATE – 6
49.  GATE – 7
50. GATE – 8
51. GATE – 9
52. GATE – 10

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