Section 1: Engineering Mathematics
☐ Vector space, basis, linear dependence and independence, matrix algebra, eigenvalues, and
eigenvectors
☐ Rank, solution of linear equations - existence and uniqueness
☐ 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
☐ First-order equations (linear and nonlinear), higher-order linear differential equations
☐ Cauchy's and Euler's equations, variation of parameters, complementary function and particular
integral
☐ Partial differential equations, variable separable method, initial and boundary value problems
☐ Gradient, divergence, and curl; Gauss's, Green's, and Stokes’ theorems
☐ Analytic functions, Cauchy’s integral theorem, sequences, series, convergence tests
☐ Taylor and Laurent series, residue theorem
☐ Mean, median, mode, standard deviation, combinatorial probability
☐ Probability distributions: binomial, Poisson, exponential, normal, joint, and conditional
probabilities
Section 2: Networks, Signals, and Systems
☐ Node and mesh analysis, superposition, Thevenin's theorem, Norton's theorem, reciprocity
☐ Phasors, complex power, maximum power transfer
☐ Time and frequency domain analysis of linear circuits (RL, RC, RLC circuits)
☐ Solution of network equations using Laplace transform
☐ Linear 2-port network parameters, wye-delta transformation
☐ Fourier series, Fourier transform, sampling theorem, and applications
☐ DTFT, DFT, z-transform, discrete-time processing of continuous-time signals
☐ LTI systems: properties, causality, stability, impulse response, convolution
☐ Poles, zeroes, frequency response, group delay, phase delay
Section 3: Electronic Devices
☐ Energy bands in intrinsic and extrinsic semiconductors, equilibrium carrier concentration
☐ Diffusion current, drift current, mobility, resistivity
☐ Generation and recombination of carriers, Poisson and continuity equations
☐ P-N junction, Zener diode, BJT, MOS capacitor, MOSFET, LED, photodiode, solar cell
Section 4: Analog Circuits
☐ Diode circuits: clipping, clamping, 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,
oscillators
Section 5: Digital Circuits
☐ Binary, integer, and floating-point number representations
☐ Boolean algebra, Karnaugh map, logic gates, arithmetic circuits, code converters, multiplexers,
decoders
☐ Latches, flip-flops, counters, shift registers, finite state machines
☐ Propagation delay, setup and hold time, critical path delay
☐ Sample and hold circuits, ADCs, DACs
☐ Semiconductor memories: ROM, SRAM, DRAM
☐ Computer organization: machine instructions, ALU, data-path, control unit, instruction pipelining
Section 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, Nyquist stability criteria
☐ Bode and root-locus plots, lag, lead, and lag-lead compensation
☐ State variable model, solution of state equations
Section 7: Communications
☐ Random processes: autocorrelation, power spectral density, properties of white noise
☐ Amplitude modulation and demodulation, angle modulation, spectra of AM and FM
☐ Superheterodyne receivers
☐ Entropy, mutual information, channel capacity theorem
☐ PCM, DPCM, digital modulation schemes (ASK, PSK, FSK, QAM)
☐ Bandwidth, inter-symbol interference, MAP, ML detection, matched filter receiver, SNR, BER
☐ Fundamentals of error correction, Hamming codes, CRC
Section 8: Electromagnetics
☐ Maxwell's equations: differential and integral forms, boundary conditions, wave equation,
Poynting vector
☐ Plane waves: reflection, refraction, polarization, phase and group velocity, propagation through
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
