ESECE study plan

Derive and apply node-voltage and mesh-current equations for two-source networks with dependent sources, checking each solution by power balance

Compute Thevenin and Norton equivalents including source transformation and maximum power transfer conditions

Solve first- and second-order transient problems (RC, RL, RLC) for step and switched inputs using initial and final value reasoning

Convert between time-domain and phasor representations and compute impedance of series-parallel AC networks

Apply superposition, reciprocity, and two-port parameter conversions (Z, Y, h) to small networks

Analyze single-stage BJT and MOSFET amplifiers at midband to obtain gain, input resistance, and output resistance from a small-signal model

Design bias networks for a specified quiescent operating point and verify the operating region

Analyze ideal op-amp circuits including inverting, non-inverting, summing, and instrumentation configurations

Determine frequency response of amplifier stages: midband gain, lower and upper cutoff, and gain-bandwidth tradeoff

Simplify Boolean expressions using Karnaugh maps up to five variables and implement the result in NAND-only form

Design combinational blocks (adder, comparator, multiplexer-based function) and verify against a truth table

Analyze sequential circuits: state diagrams, next-state tables, and timing constraints for flip-flop based designs

Classify signals by energy, power, periodicity, and symmetry and compute the relevant metrics

Compute Fourier series coefficients for periodic waveforms and interpret the spectrum

Apply Fourier transform properties (scaling, shifting, convolution, differentiation) to derive transforms without direct integration where possible

Use Laplace transforms to solve linear circuit and system responses including initial conditions

Determine system properties: linearity, time invariance, causality, stability, and impulse-response behavior

Apply the sampling theorem, compute aliasing outcomes, and analyze reconstruction and quantization error budgets

Use Maxwell's equations in integral form to justify boundary conditions at conductor and dielectric interfaces

Compute reflection and transmission coefficients, standing-wave ratio, and input impedance on lossless transmission lines

Locate impedance on a Smith chart and perform single-stub matching calculations

Analyze PN-junction behavior: depletion region, built-in potential, diode equation, and temperature dependence

Determine BJT and MOSFET operating regions from terminal voltages and explain charge-control and threshold behavior

Compute link budgets: EIRP, free-space path loss, received power, and noise figure to carrier-to-noise ratio

Compare analog and digital modulation schemes on bandwidth efficiency and error performance using given formulas

Derive closed-loop transfer functions and compute steady-state error for step, ramp, and parabolic inputs by system type

Sketch root loci and Bode plots to determine stability margins and crossover frequencies

Apply Routh-Hurwitz and Nyquist criteria to classify stability

Trace an interrupt-driven program on an 8-bit microcontroller: vector table, stack behavior, and timing

Map memory and I/O for a given address decoding scheme and identify the accessed region

Compute per-unit values and solve a balanced three-phase load or fault problem from a one-line diagram

Compare transformer, induction machine, and synchronous machine equivalent circuits and compute efficiency or slip

Complete two timed mixed-domain practice sets under exam pacing and log error causes by domain

Re-derive the five formulas most frequently missed, from memory, without notes