GATE EE study plan

Solve 40 series-parallel DC and single-phase AC circuits by hand using nodal and mesh analysis, then verify each with a phasor or matrix check

Derive and apply Thevenin and Norton equivalents to 15 circuits containing dependent sources

Compute transient responses of first-order RL and RC circuits for step inputs, writing the time constant and final value from inspection before solving

Build a one-page formula sheet of matrix rank, eigenvalue, and consistency conditions and use it on 10 linear-algebra problems

Solve 15 differential-equation problems covering second-order systems, initial conditions, and Laplace-based solutions

Classify and sketch 20 signals by energy/power, periodicity, even/odd symmetry, and causality

Compute convolution (continuous and discrete) for 15 pairs using both graphical and Laplace/z-transform routes

State and apply the sampling theorem to 10 problems, identifying aliasing and reconstruction conditions

Derive Fourier series coefficients for square, triangular, and half-wave rectified waveforms and state the symmetry that kills each harmonic class

Determine the Fourier transform of standard pulses and apply modulation, scaling, and shift properties without re-integrating

Compute transfer functions from block diagrams and signal-flow graphs using Mason's gain formula on 12 diagrams

Sketch root loci for 10 open-loop transfer functions, marking asymptotes, breakaway points, and imaginary-axis crossings

Apply Routh-Hurwitz to find the range of gain for stability in 10 characteristic equations

Draw the equivalent circuit of a transformer and compute regulation and efficiency at specified load power factors for 10 cases

Solve 12 three-phase induction motor problems using the equivalent circuit, slip, torque-slip relation, and maximum-torque condition

Analyze DC machine armature reaction, commutation, and speed control, computing speed from flux and back-emf for 8 cases

Apply Ampere's law, Gauss's law, and the boundary conditions for E and H to 12 standard field geometries

Compute capacitance, inductance, and energy for coaxial and parallel-plate structures and state Maxwell's equations in differential and integral form

Solve 8 synchronous generator problems covering phasor diagrams, voltage regulation by EMF and MMF methods, and parallel operation

Compute per-unit impedances and build the per-unit model of a 5-bus system, then form the Y-bus matrix

Perform Gauss-Seidel and Newton-Raphson load-flow iterations by hand for a 3-bus system until convergence

Analyze symmetrical faults using Thevenin equivalents and sequence networks for 8 fault cases

Explain and compute line parameters (inductance and capacitance) for bundled and transposed conductors

Analyze steady-state and transient stability using the swing equation and equal-area criterion on 6 systems

Compute protection settings and coordination for overcurrent relays in a radial feeder and describe distance-relay zones

Design lag, lead, and lag-lead compensators to meet phase-margin specifications for 6 plants

Assess controllability and observability of 8 state-space models and design state feedback by pole placement

Sketch Bode plots from transfer functions and read off gain and phase margins for 10 systems

Analyze 12 BJT and MOSFET amplifier configurations for gain, input and output resistance, and bias point

Solve 10 op-amp circuits including filters, comparators, and oscillators, stating the ideal-model assumption used

Minimize 15 Boolean functions using Karnaugh maps and implement them with NAND-only logic

Design sequential circuits: state diagrams, flip-flop excitation tables, and counters for 8 specifications

Compute output voltage, ripple, and duty cycle for rectifiers, choppers, and single-phase converters in 15 cases

Solve 20 measurement problems on bridge circuits, instrument transformers, error analysis, and digital meters

Practice 30 general-aptitude items under time pressure, focusing on quantitative aptitude and data interpretation

Complete two full-length mock tests under exam timing and log every error by domain

Re-derive the 25 formulas most often missed across all domains from memory and correct each against a reference