IIT JEE Advanced 2027 Syllabus Overview
The JEE Advanced 2027 syllabus is prescribed by the Joint Admission Board (JAB). It encompasses Mathematics, Physics, and Chemistry at the Class 11 and 12 levels but incorporates a significantly higher level of conceptual and analytical depth compared to the JEE Main syllabus and board exams. Several topics, such as electrochemistry, eudiometry, and rotational dynamics, go beyond standard textbook outlines.
The examination consists of two compulsory 3-hour computer-based test papers (Paper 1 and Paper 2), both containing questions from all three subjects, structured according to the official JEE Advanced exam pattern. Additionally, candidates targeting B.Arch programs at IIT Roorkee, IIT Kharagpur, or IIT Varanasi must qualify in the Architecture Aptitude Test (AAT). Use the interactive switcher below to view detailed topics for each subject and the AAT.
Note on Weightage: The JAB does not release an official chapter-wise weightage. However, historical paper trends suggest that calculus, coordinate geometry, mechanics, electrodynamics, organic chemistry reaction mechanism, and coordination chemistry hold the highest weightage.
Detailed Subject-Wise Syllabus
Mathematics Portion
Unit 1Algebra
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and argument, triangle inequality, cube roots of unity, geometric interpretations. Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations, symmetric functions of roots. Arithmetic, geometric progressions, arithmetic and geometric means, sums of finite arithmetic and geometric progressions, infinite geometric series. Logarithms and their properties. Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.
Unit 2Matrices and Determinants
Matrices as a rectangular array of real numbers, equality, addition, multiplication by scalar and multiplication of matrices, transpose, symmetric and skew-symmetric matrices. Determinant of a square matrix of order up to three and its properties. Adjoint and inverse of a square matrix. System of linear equations in two or three variables, its consistency, and solutions using Cramer's rule or matrix method.
Unit 3Probability and Statistics
Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independent events. Computation of probability of events using permutations and combinations. Random variable, probability distribution, binomial distribution. Statistics: Measures of central tendency (mean, median, mode) and dispersion (variance, standard deviation) for grouped and ungrouped data.
Unit 4Trigonometry
Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, multiple and sub-multiple angles. General relations of trigonometric functions and solution of trigonometric equations. Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formulae and the area of a triangle, inverse trigonometric functions (principal values and properties).
Unit 5Analytical Geometry
Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin. Straight lines: various forms of equations, intersection of two lines, angle between them, distance of a point from a line, bisectors of angles. Circles: equations in standard and general forms, tangent, normal, chord, parametric equations, intersection with a line, equations of common tangents. Conic sections: equations of parabola, ellipse, and hyperbola in standard forms, their tangents, normals, and focal properties.
Unit 6Differential Calculus
Real valued functions of a real variable, domain, range, one-to-one, onto and composite functions, implicit and inverse functions. Limit, continuity, and differentiability of functions, algebra of limits, continuity of composite functions. Derivative of standard functions, chain rule, derivatives of order up to two. Rolle's and Lagrange's mean value theorems. L'Hospital's rule. Tangents and normals, monotonicity, maxima and minima of functions of one variable.
Unit 7Integral Calculus
Integration as the inverse of differentiation, indefinite integrals of standard functions, integration by parts, substitution, and partial fractions. Definite integrals and their properties, fundamental theorem of calculus. Application of definite integrals to compute areas bounded by simple curves. Integration of simple functions as the limit of a sum.
Unit 8Differential Equations
Ordinary differential equations, their order and degree. Formation of differential equations. Solution of homogeneous and linear differential equations of first order and first degree. Separation of variables method.
Unit 9Vectors & 3D Geometry
Vectors and scalars, addition, scalar multiplication, dot and cross products. Scalar and vector triple products. Projection of a vector. Three-dimensional space: Direction cosines and direction ratios, equation of straight lines and planes in vector and Cartesian forms, coplanar lines, skew lines, shortest distance between two lines. Angle between two lines, a line and a plane, or two planes.
Physics Portion
Unit 1General Physics & Experimental Skills
Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities. Vernier calipers, screw gauge, simple pendulum, meter scale, Young's modulus by Searle's method, specific heat of a liquid by cooling, focal length of a concave mirror and a convex lens, speed of sound in air using resonance column, verification of Ohm's law, specific resistance of a wire using a meter bridge and potentiometer.
Unit 2Mechanics
Kinematics in one and two dimensions (projectiles), uniform circular motion, relative velocity. Newton's laws of motion; Inertial and non-inertial frames, friction. Work, energy, power, conservative and non-conservative forces, potential energy, elastic and inelastic collisions. Centre of mass of a system of particles, rigid body dynamics: torque, angular momentum, moment of inertia, parallel and perpendicular axes theorems. Rotational motion equations, rolling without slipping. Gravitation: Kepler's laws, escape velocity, satellite orbit. Hooke's law, Young's/bulk/rigidity moduli. Pressure in fluid, Pascal's law, buoyancy, surface energy, surface tension, capillary rise, viscosity, Stokes' law, terminal velocity, streamline flow, Bernoulli's equation. Simple harmonic motion, wave motion, sound waves, Doppler effect.
Unit 3Thermal Physics
Thermal expansion of solids, liquids and gases; calorimetry, latent heat; Heat transfer: conduction in one dimension, convection, radiation, Kirchhoff's law, Stefan's law, Wien's displacement law. First and second laws of thermodynamics, Carnot cycle, isothermal and adiabatic processes. Kinetic theory of gases: ideal gas equation, assumption, pressure, rms speed, degrees of freedom, equipartition of energy, specific heats of monoatomic and diatomic gases.
Unit 4Electricity & Magnetism
Coulomb's law; Electric field and potential; Gauss's law and applications; capacitance, parallel plate capacitor, dielectrics. Ohm's law, resistivity, electric circuits, Kirchhoff's laws. Biot-Savart law, Ampere's law, magnetic force on a charge/current-carrying conductor. Magnetic dipole moment of a current loop, torque on a loop, moving coil galvanometer, conversion to ammeter/voltmeter. Electromagnetic induction: Faraday's and Lenz's laws, self and mutual inductance. Alternating current: LCR series circuit, resonance, impedance.
Unit 5Optics
Reflection and refraction of light at plane and spherical surfaces, mirror formula, total internal reflection. Lenses: thin lens formula, magnification, power, combination of thin lenses. Prism: deviation, dispersion. Wave optics: Huygens' principle, interference, Young's double slit experiment, coherent sources, diffraction due to a single slit, polarization, Brewster's law.
Unit 6Electromagnetic Waves
Displacement current, electromagnetic waves and their characteristics. Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) and their primary applications.
Unit 7Modern Physics
Dual nature of radiation, photoelectric effect, Hertz and Lenard's observations, Einstein's photoelectric equation. De Broglie waves. Alpha-particle scattering, Rutherford's and Bohr's models of hydrogen-like atoms. Nuclei: composition, mass defect, binding energy per nucleon, radioactivity (alpha, beta, gamma decay), half-life, mean life, nuclear fission and fusion.
Chemistry Portion
PhysicalPhysical Chemistry
Basic concepts: mole concept, concentration terms, stoichiometry. States of matter: gas laws, kinetic theory, ideal/real gases, liquefaction. Atomic structure: Bohr model, quantum numbers, hydrogen spectrum, de Broglie, Heisenberg, Schrodinger (qualitative), orbital shapes. Chemical bonding: hybridization, VSEPR theory, MO theory (diatomics), dipole moment, hydrogen bonding. Thermodynamics: laws, enthalpy, entropy, free energy, spontaneity. Chemical & Ionic Equilibrium: law of mass action, Le Chatelier, pH, buffer, solubility product, hydrolysis. Electrochemistry: conductance, Nernst equation, electrochemical/electrolytic cells, Faraday's laws. Kinetics: rate laws, order, activation energy, Arrhenius. Solid State: unit cells, packing, Bragg's law, defects. Solutions: Raoult's law, colligative properties. Surface chemistry: adsorption, colloids.
InorganicInorganic Chemistry
Periodicity: ionization energy, electron affinity, electronegativity, ionic radii. Isolation of metals (metallurgy): extraction principles, Ellingham diagram, refining of Fe, Cu, Al, Zn. Hydrogen: preparation, properties. s-block elements: alkali and alkaline earth metals, anomalous behavior, compounds (sodium carbonate, hydroxide, calcium oxide). p-block elements: groups 13 to 18, structures and properties of boranes, silicates, silicones, allotropes of carbon/phosphorus/sulfur, nitrogen oxides, oxyacids of halogens. d-block and f-block elements: transition metals, lanthanides, properties, KMnO4 and K2Cr2O7. Coordination compounds: isomerism, Werner's theory, VBT, CFT (octahedral/tetrahedral), magnetic properties. Qualitative Salt Analysis: detection of standard cations and anions.
OrganicOrganic Chemistry
Basic principles: IUPAC nomenclature, isomerism (structural and stereo), electronic effects (induct/meso/hyperconju), acid-base strength. Alkane, alkene, alkyne: preparation, reactions, electrophilic addition, ozonolysis, hydrogenation. Benzene: electrophilic aromatic substitution, directing groups. Alkyl/aryl halides: SN1, SN2, E1, E2 mechanisms. Alcohols, phenols, ethers: preparation, acidic nature of phenol, Lucas test, Reimer-Tiemann reaction. Aldehydes & Ketones: nucleophilic addition, Aldol condensation, Cannizzaro reaction, Haloform reaction. Carboxylic acids & derivatives: acidity, nucleophilic acyl substitution. Amines: basicity, diazotization, carbylamine test. Biomolecules: carbohydrates (monosaccharides, sucrose, starch, cellulose), amino acids and peptides, proteins, nucleic acids. Polymers: addition/condensation polymerizations. Practical Organic Chemistry.
Architecture Aptitude Test (AAT) Syllabus
Section 1Freehand Drawing
Simple drawing of objects in correct proportion and scale, showing relative location and details of component parts. Drawing of everyday domestic items (such as furniture, utensils, tools) from memory. Representing surface texture and finishing of materials.
Section 2Geometrical Drawing
Drawing lines, angles, triangles, quadrilaterals, polygons, circles, and curves. Simple geometrical compositions. Visualizing the plans (top views) and elevations (front/side views) of standard three-dimensional geometrical solids.
Section 3Three-Dimensional Perception
Understanding proportions, volume, and perspective. Visualizing different sides of three-dimensional objects. Visualizing 3D objects from 2D orthogonal drawings and vice-versa. Understanding scale relationships and structures.
Section 4Imagination and Aesthetic Sensitivity
Composition exercises using given geometrical shapes and forms. Creative visualization of scenes, environments, and compositions. Understanding color schemes, contrasts, and harmony. Showing imagination and creativity in simple graphic layouts.
Section 5Architectural Awareness
General awareness of prominent national and international architectural structures, historic monuments, and landmarks. Basic knowledge of famous architects and their contributions. Familiarity with standard building materials, environmental factors, and basic design terms.
Most Important Topics for JEE Advanced 2027
While covering the full syllabus is necessary to secure an IIT seat, focusing on these high-weightage chapters can significantly optimize your rank potential (estimate your rank range using the JEE Advanced Rank Predictor). Questions from these topics are highly conceptual and often interlink multiple chapters:
Mathematics
- • Integral Calculus: Definite integrals & area (3-4 Qs)
- • Coordinate Geometry: Conics tangent/normal properties (3 Qs)
- • Matrices & Probability: Complex combinations (3 Qs)
- • Vectors & 3D: Vector products & shortest distance (2-3 Qs)
- • Limits & Continuity: Advanced limits & differentiability
Physics
- • Rotational Dynamics: Moment of inertia, torque, rolling (3 Qs)
- • Electrostatics & EMI: Gauss's law, induction, LCR (4 Qs)
- • Modern Physics: Photoelectric, Bohr model, decay (3 Qs)
- • Ray & Wave Optics: Lenses, interference, slits (2-3 Qs)
- • Thermodynamics: Heat engines, cyclic processes (2 Qs)
Chemistry
- • Organic Mechanisms: Aldol, Cannizzaro, Grignard (4-5 Qs)
- • Coordination Compounds: CFT, isomerism, hybrid (2-3 Qs)
- • Chemical Thermodynamics: Entropy, free energy calculations (2 Qs)
- • Electrochemistry: Nernst equation, electrolytic cells (2 Qs)
- • p-block & Salt Analysis: Structure & cation detection (3 Qs)
Preparation Tip: JEE Advanced questions are frequently multi-conceptual. For instance, a physical chemistry problem might combine concepts of electrochemistry with chemical kinetics, or a physics question might merge rotational motion with electrostatics. Practice solving comprehensive problems from standard resources.
PREPARATION RESOURCES
Get the Best IIT Syllabus Study Materials
Prepare effectively with specialized reference manuals, chapter-wise question banks, and previous year papers compiled to target multi-concept structures in JEE Advanced 2027.
Best Books for JEE Advanced Preparation
To tackle the high conceptual rigor of the JEE Advanced 2027 syllabus, standard textbooks are rarely sufficient. You should supplement your core NCERT concepts with advanced problem-solving workbooks:
Mathematics
- • Advanced Mathematics Series by G. Tewani (Cengage)
- • Plane Trigonometry & Co-ordinate Geometry by S.L. Loney
- • Higher Algebra by Hall & Knight
- • Problems in Calculus of One Variable by I.A. Maron
- • Advanced Problems in Mathematics by Vikas Gupta
Physics
- • Concepts of Physics (Vol 1 & 2) by H.C. Verma
- • Problems in General Physics by I.E. Irodov
- • Physics Galaxy Series by Ashish Arora
- • Understanding Physics Series by D.C. Pandey
- • Pathfinder for Olympiad & JEE Advanced by Arvind Tiwari
Chemistry
- • Physical Chemistry by O.P. Tandon / P. Bahadur
- • Concise Inorganic Chemistry by J.D. Lee
- • Organic Chemistry by Morrison & Boyd / Solomon & Fryhle
- • Advanced Problems in Organic Chemistry by M.S. Chouhan
- • RC Mukherjee for Physical Chemistry Calculations
Note on Mock Tests: Solving past papers (minimum 10-15 years) in CBT simulated mode is vital because the exact question types (single-choice, multi-choice, integer value, match list, etc.) and marking schemes change every year under the official JEE Advanced exam pattern.
Frequently Asked Questions (Syllabus)
No, the syllabus has differences. JEE Advanced covers topics with greater depth and rigorous analytical requirements. Moreover, the JEE Main syllabus contains certain exclusive topics (such as Semiconductor Electronic Devices, logic gates, and principles of communication) that are either omitted or tested differently in JEE Advanced. Conversely, Advanced requires topics like eudiometry, carbohydrate testing, and detailed rotational dynamics.
Yes. Radioactive decay laws, half-life, mean life, and alpha/beta/gamma radiations remain an active part of the JEE Advanced Modern Physics syllabus, even though they were streamlined out of the JEE Main syllabus.
The official syllabus booklet can be downloaded directly from the official web portal at jeeadv.ac.in. The organizing zonal IIT releases the updated information bulletin and syllabus guidelines annually.
Yes. Multiple-choice questions (both single-correct and multi-correct) contain negative markings (typically -1 or -2 for incorrect options). Numerical value and integer answers generally do not carry negative markings, but candidates must check instruction headings during the exam.
The AAT syllabus evaluates candidates on 5 core fields: Freehand Drawing, Geometrical Drawing, Three-Dimensional Perception, Imagination and Aesthetic Sensitivity, and general Architectural Awareness. It is an offline paper conducted at select IIT centers.