S.
No Sections Topics to be Covered
1 Engineering Linear Algebra
Mathematics Calculus
Differential Equations
Vector Analysis
Complex Analysis
Numerical Methods
Probability and Statistics
2 Networks, Circuit analysis
Signals and Continuous-time signals
Systems Discrete-time signals
3 Electronic Energy bands in intrinsic and extrinsic semiconductors, equilibrium
Devices carrier concentration, direct and indirect band-gap semiconductors.
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, photodiode, and solar cell.
4 Analog Circuits Diode circuits: clipping, clamping, and rectifiers.
BJT and MOSFET amplifiers: biasing, ac coupling, small-signal analysis,
frequency response. Current mirrors and differential amplifiers.
Op-amp circuits: Amplifiers, summers, differentiators, integrators,
active filters, Schmitt triggers, and oscillators
5 Digital Circuits Number representations: binary, integer, and floating-point- numbers.
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.
Sequential circuits: latches and flip-flops, counters, shift-registers, finite
state machines, propagation delay, setup and hold time, critical path
delay.
Data converters: sample and hold circuits, ADCs, and DACs.
Semiconductor memories: ROM, SRAM, DRAM.
Computer organization: Machine instructions and addressing modes,
ALU, data-path, and control unit, instruction pipelining
6 Control Systems 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.
7 Communications 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.
Information theory: entropy, mutual information, and channel capacity
theorem.
Digital communications: PCM, DPCM, digital modulation schemes (ASK,
PSK, FSK, QAM), bandwidth, inter-symbol interference, MAP, ML
detection, matched filter receiver, SNR, and BER.
Fundamentals of error correction, Hamming codes, CRC.
8 Electromagnetics 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.
Rectangular and circular waveguides, light propagation in optical fibers,
dipole and monopole antennas, linear antenna arrays.
