### Signals and Systems 117 Question(s) | Weightage 12 (Marks)

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;
LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay, digital filt;

### Networks 97 Question(s) | Weightage 11 (Marks)

Network Solution Methods: Nodal and Mesh Analysis;
Network Theorems: Superposition, Thevenin and Norton’s Maximum Power Transfer;
Wye-Delta Transformation;
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;

### Electronic Devices 86 Question(s) | Weightage 08 (Marks)

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;
MOS Capacitor;
MOSFET;
LED;
Photo Diode and Solar Cell;
Integrated Circuits Fabrication Process: Oxidation, Diffusion, Ion Implantation, Photolithography, Twin-Tub CMOS Process;

### Analog Circuits 108 Question(s) | Weightage 13 (Marks)

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, 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;

### Digital circuits 100 Question(s) | Weightage 12 (Marks)

Number Systems;
Combinational 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;
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;

### Control Systems 93 Question(s) | Weightage 12 (Marks)

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;
Bode and root-locus plots;
Lag, lead and lag-lead compensation;
State variable model and solution of state equation of LTI systems;

### Communications 109 Question(s) | Weightage 14 (Marks)

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, superheterodyne receivers, circuits for analog communications;
Information theory: entropy, mutual information and channel capacity theorem;
Digital communications: PCM, DPCM, digital modulation schemes, amplitude, 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;
Inter-symbol interference and its mitigation;
Timing and Frequency Synchronization;
Basics of TDMA, FDMA and CDMA;

### Electromagnetics 101 Question(s) | Weightage 10 (Marks)

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;
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;

### Linear Algebra 26 Question(s)

### Calculus 35 Question(s)

### Differential equations 20 Question(s)

First order equation (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;