IISER IAT study plan

Diagnose baseline by solving one timed 20-question mixed set per domain and tabulating accuracy by topic

Rebuild algebraic fluency: factorise, manipulate surds and logarithms, and solve quadratic and inequality problems without a calculator

Derive and apply the binomial theorem and sequences/series summation formulas to at least 15 varied problems

Set up a spaced-repetition log for formulas and standard results across all four domains

Solve coordinate geometry problems on lines, circles, and conics, computing eccentricity, tangents, and intersections

Apply trigonometric identities, inverse functions, and general solutions of trigonometric equations to 20 problems

Compute limits, check continuity and differentiability, and differentiate composite, implicit, and parametric functions

Time yourself on a 25-question calculus and trigonometry set and record per-question minutes

Integrate standard forms, use substitution and by-parts, and evaluate definite integrals including areas under curves

Solve first-order differential equations by separation of variables and integrating factors

Handle permutations, combinations, probability, and binomial distribution problems with careful case-splitting

Work through vectors, 3D geometry, and matrices and determinants, verifying rank and inverse by hand

Re-derive kinematics equations and solve projectile and relative-motion problems using vector decomposition

Apply Newton's laws to systems with friction, pulleys, and inclines, drawing free-body diagrams for each problem

Solve work-energy and momentum problems, including collisions and variable-force situations

Compute rotational motion quantities: torque, moment of inertia, angular momentum, and rolling without slipping

Solve electrostatics problems using Gauss's law, potential, and capacitor networks in series and parallel

Apply Kirchhoff's laws and analyse DC circuits with internal resistance and Wheatstone bridge configurations

Compute magnetic forces on currents and moving charges, and apply Ampere's law to simple symmetric geometries

Solve electromagnetic induction problems using Faraday's and Lenz's laws, including motional emf

Solve optics problems on mirrors, lenses, refraction, and interference, computing fringe width and resolving power

Apply thermodynamic laws, calculate efficiency of cycles, and solve kinetic theory problems

Explain photoelectric effect, Bohr model, and nuclear decay quantitatively, computing energy and half-life values

Balance redox equations and solve stoichiometry, limiting reagent, and solution concentration problems

Predict periodic trends and describe bonding and hybridisation using VSEPR and molecular orbital arguments

Solve equilibrium problems for weak acids and bases, buffers, and solubility product calculations

Apply chemical kinetics rate laws and identify reaction mechanisms from given data

Name and classify organic compounds, and predict products of substitution, elimination, and addition reactions

Explain coordination compounds using crystal field theory, including magnetic moment and isomerism

Consolidate biology by reviewing cell biology, genetics, physiology, and ecology through active-recall questions rather than rereading

Run three full-length timed mocks across all four domains on separate days and log scores

Revisit the week 1 error profile and confirm that every previously weak topic now scores above 60 percent

Reduce the formula sheet to a single revision card and rehearse it daily