GATE AE study plan

Solve 60 verbal ability and reading-comprehension questions and label each error by question type.

Work 40 quantitative aptitude problems under a 90-second-per-question cap, recording accuracy and time.

Compute rank, eigenvalues, eigenvectors, and diagonalizability for 15 matrices without referring to notes.

Solve 20 first-order and second-order ODEs, including initial-value problems handled through Laplace transforms.

Evaluate 12 line, surface, and volume integrals using Green, Stokes, and divergence theorems.

Apply Newton-Raphson, trapezoidal, Simpson, and RK4 methods by hand to 10 numerical-analysis examples.

Compute 25 probability problems covering Bayes rule, standard distributions, expectation, and hypothesis testing.

Complete two timed 10-question GA sets and reach at least 80 percent accuracy on each.

Derive thin-airfoil lift slope, moment coefficient, and center of pressure for eight cambered profiles.

Calculate finite-wing induced drag, downwash, and lift-curve slope for six planforms and aspect ratios.

Determine bending stress and shear flow in five thin-walled open and closed sections.

Compute Euler buckling loads for six column end conditions and identify the governing mode.

Perform ideal-cycle analysis for six turbojet and turbofan operating points, computing thrust and specific fuel consumption.

Calculate nozzle exit velocity, thrust, and specific impulse for eight rocket-propulsion cases.

Compute rate of climb, range, endurance, and turn radius for six aircraft performance conditions.

Derive static margin and neutral point for four aircraft configurations and interpret the sign of static stability.

Solve Kepler's equation and extract all six orbital elements for 10 orbit problems.

Compute delta-v and transfer time for eight Hohmann, plane-change, and combined maneuvers.

Sketch root loci and Bode plots for eight transfer functions and read gain and phase margins from them.

Convert six state-space models to transfer functions and test controllability and observability.

Assemble the longitudinal A matrix and estimate short-period and phugoid frequencies for five aircraft.

Classify spiral, roll-subsidence, and Dutch-roll behavior for four lateral-directional cases.

Design lead, lag, and PID compensators to meet specified phase-margin targets on five plants.

Verify each compensator design by hand using root-locus or Bode reasoning, not software output alone.

Solve 15 vibration problems covering beam natural frequencies, damping, and two-degree-of-freedom systems.

Compute turbine and compressor stage velocity triangles, work, and degree of reaction for eight stages.

Calculate solid and liquid rocket burn area, chamber pressure, and thrust coefficient for six grain configurations.

Complete one 10-question GA drill on each of three days to keep aptitude accuracy above 80 percent.

Take two full-length timed mocks under exam conditions and review each within 24 hours.

Re-solve every flagged error from weeks 1 through 7 without consulting the original solution.

Recall 120 key formulas and standard results through spaced repetition and reach 90 percent accuracy.

Recheck the highest-weight GA and Mathematics subtopics, where each mark costs the least effort.