GATE GG study plan

Build a one-page formula sheet covering linear algebra, calculus, and differential equations topics listed in the XE Engineering Sciences syllabus

Solve 25 mixed Engineering Mathematics problems untimed and log every error by cause (concept gap, algebra slip, misread)

Derive the eigenvalues and eigenvectors of three 3x3 matrices by hand without notes

Set up a weekly 7-hour calendar block and a spaced-repetition deck for formulas

Work through the core results of vector calculus (gradient, divergence, curl, Stokes and Gauss theorems) and apply each to one worked example

Solve 20 problems on complex variables and analytic functions, including contour integration by residues

Solve 15 probability and statistics problems covering distributions, expectation, and hypothesis testing basics

Re-derive the standard Laplace and Fourier transform pairs from memory

Summarize the laws of thermodynamics and apply them to closed and open systems in 10 numerical problems

Solve 12 problems on fluid mechanics covering Bernoulli, continuity, and pipe flow losses

Solve 10 problems on material science topics (stress-strain, crystal structures, phase diagrams)

Build a comparison table linking shared concepts across thermodynamics, fluids, and materials

Solve 15 problems on solid mechanics (bending, torsion, deflection) and 10 on theory of machines (gears, linkages)

Solve 12 problems on electrical circuits and 8 on measurement and instrumentation

Complete one full-length mock test under exam timing and mark it against the official key

Classify every mock-test error into concept, calculation, or time-management categories

Map the Energy Science (XE-I) syllabus into a checklist and rate confidence 1-5 for each subtopic

Define and compute the basic thermodynamic properties of pure substances using steam tables and the Rankine cycle

Solve 12 problems on combustion stoichiometry, calorific value, and air-fuel ratio

Explain the working principles of boilers, turbines, and compressors in your own words with sketches

Solve 10 problems on solar thermal and photovoltaic systems, including efficiency and incident-angle calculations

Solve 8 problems on wind energy covering Betz limit, tip-speed ratio, and power curves

Compare biomass, hydro, and geothermal conversion routes in a structured table with efficiency ranges

Solve 10 problems on energy storage and fuel cells covering round-trip efficiency and Gibbs free energy

Re-solve every question from the Week 4 mock and the error log without looking at solutions

Complete a second full-length mock weighted 50/50 across both domains under strict timing

Drill 40 rapid-fire formula-recall items across both domains in under 60 minutes

Rewrite the formula sheet down to the 30 items you still hesitate on

Review only the top 10 weakest subtopics flagged across both mocks, solving 5 problems each

Run two timed 90-minute sectional sprints, one per domain, and record accuracy per section

Rehearse exam-day logistics: admit card, ID, calculator rules, and a 5-minute pre-exam checklist

Finalize a one-page summary sheet per domain for last-day revision