JEE Advanced 3-Month Plan

Kinematics: Motion in 1D — displacement, velocity, acceleration, equations of motion (suvat), and graphical analysis of motion.

Projectile Motion & Relative Motion: Motion in 2D including projectile trajectories, relative velocity, and river-boat problems.

Newton's Laws of Motion: Inertia, force, momentum conservation, friction (static and kinetic), and pulley problems — free body diagrams and constraint relations.

Work, Energy & Power: Work done by forces, kinetic and potential energy, work-energy theorem, conservation of mechanical energy, and power calculations.

Rotational Mechanics: Angular displacement, velocity, acceleration, moment of inertia, torque, angular momentum, and conservation laws in rotating systems.

Gravitation: Newton's law of gravitation, gravitational field and potential, Kepler's laws, orbital velocity, escape velocity, and satellite motion.

Thermal Properties: Heat transfer (conduction, convection, radiation), thermal expansion, calorimetry, Newton's law of cooling, and specific heat capacity.

Thermodynamics: Laws of thermodynamics, heat engines, refrigerators, entropy, isothermal and adiabatic processes, and thermodynamic cycles.

Mole Concept & Stoichiometry: Mole, molar mass, empirical and molecular formulas, limiting reagent, percent composition, and titration calculations.

Atomic Structure: Quantum numbers, electron configurations, de Broglie hypothesis, Heisenberg uncertainty, Schrödinger equation, and atomic spectra.

Chemical Bonding: Ionic, covalent, metallic bonding, VSEPR theory, hybridisation (sp, sp², sp³, sp³d, sp³d²), MOT basics, bond parameters, and hydrogen bonding.

Thermodynamics: System and surroundings, internal energy, enthalpy, Hess's law, spontaneity, Gibbs free energy, entropy, and thermochemical calculations.

Chemical Equilibrium: Law of mass action, equilibrium constant, Le Chatelier's principle, ionic equilibrium, pH, buffer solutions, solubility product, and common ion effect.

Redox Reactions: Oxidation and reduction, oxidation numbers, balancing redox equations (oxidation number and ion-electron methods), and electrochemical series.

Electrochemistry: Galvanic and electrolytic cells, Nernst equation, electrode potentials, Kohlrausch law, Faraday's laws of electrolysis, and batteries.

Chemical Kinetics: Rate of reaction, rate laws, order and molecularity, integrated rate equations (zero, first, second order), Arrhenius equation, and reaction mechanisms.

Trigonometry: Trigonometric ratios, identities, equations, solutions of triangles, inverse trigonometry values, andHeight and Distance applications.

Limits: Algebraic and trigonometric limits, L'Hospital's rule, limits at infinity, indeterminate forms (0/0, ∞/∞), and sandwich theorem.

Continuity: Continuity at a point and interval, types of discontinuities, algebra of continuous functions, and intermediate value theorem.

Differentiability: Derivative as rate measure, left and right derivatives, relationship between continuity and differentiability, and differentiable vs non-differentiable functions.

Differentiation: Derivatives of standard functions, product, quotient, chain rules, implicit and parametric differentiation, logarithmic differentiation, and derivatives of inverse functions.

Applications of Derivatives (AOD): Tangents and normals, increasing/decreasing functions, maxima and minima (first and second derivative tests), and Rolle's and Lagrange's mean value theorems.

Indefinite Integrals: Integration as antiderivative, standard integrals, substitution, partial fractions, integration by parts, and trigonometric integrals.

Definite Integrals: Fundamental theorem of calculus, properties, evaluation by substitution and parts, definite integrals as limit of sum, and area under curves.