JEE Advanced Syllabus 2025: Physics, Chemistry, Maths Chapter wise Wightage PDF Download

The JEE Advanced syllabus 2025 has been meticulously designed to test aspirants’ in-depth understanding of Physics, Chemistry, and Mathematics. Serving as the gateway to prestigious Indian Institutes of Technology (IITs) and other top engineering colleges, the JEE Advanced exam demands a solid grasp of fundamental concepts and advanced problem-solving skills. The 2025 syllabus includes crucial topics like Mechanics, Electricity & Magnetism in Physics; Organic, Inorganic, and Physical Chemistry; and key areas in Mathematics such as Calculus, Algebra, and Coordinate Geometry. Familiarity with the updated syllabus and focused preparation are essential for students aiming to excel in this highly competitive examination.

JEE Advanced Syllabus 2025

The mathematics, physics, and chemistry are part of the JEE Advanced syllabus 2025. Knowing the jee advanced syllabus helps you avoid unimportant subjects and focus on those that are essential for success in JEE Advanced exam. Get subject-specific PDFs to help you to accelerate your JEE Advanced 2025 preparation.

JEE Advanced Syllabus 2025 for Physics

Topics include General, Mechanics, Thermal Physics, Electricity and Magnetism, Optics, and Modern Physics are all covered in the JEE Advanced Physics Syllabus 2025. The table below lists the subjects topics that are included by chapter for candidates to review.

S. No Chapter Name JEE Advanced 2025 Syllabus Topics
1 General Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
2 Mechanics Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity.
Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum;
Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.
Linear and angular simple harmonic motions.
Hooke’s law, Young’s modulus.
Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications.
Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
3 Thermal physics

 

Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.
4 Electricity and magnetism Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.
Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and a current-carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions. Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.
5 Optics Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.
Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment.
6 Modern physics Atomic nucleus; Alpha, Beta and Gamma radiations; Law of radioactive decay;  Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.

JEE Advanced Physics Syllabus 2025 Subjectwise Weightage

Candidates should review the topic-wise weighting in the table below if they are preparing for the JEE Advanced 2025 exam. The majority of physics issues come from the fields of rigid body dynamics, modern physics, mechanics, and electrodynamics.

JEE Advanced Physics Topics Weightage (%)
Electrodynamics 28%
Alternating Current 3%
Capacitance 3%
Current Electricity 3%
Electro Magnetic Field 7%
Electro Magnetic Induction 8%
Electrostatics 3%
Heat & Thermodynamics 11%
Heat Transfer 3%
KTG & Thermodynamics 8%
Mechanics 36%
Centre of Mass 7%
Error in Measurement 3%
Fluid Mechanics & Properties of Matter 7%
Gravitation 3%
Rigid Body Dynamics 13%
Unit & Dimension 3%
Modern Physics 13%
Modern Physics 7%
Nuclear Physics 6%
Optics 9%
Geometrical Optics & Physical Optics 9%
SHM & Waves 3%
Sound Waves 3%

 

JEE Advanced Syllabus 2025 for Chemistry

Gaseous and liquid states, atomic structure and chemical bonding, chemical equilibrium, chemical kinetics, surface chemistry, preparation and properties of the following compounds, preparation, properties, and reactions of alkenes and alkynes, and other topics are covered in the JEE Advanced Chemistry Syllabus 2025. Candidates can check the chapter-wise topics in the table below.

JEE Advanced Physical Chemistry Syllabus 2025

The Physical Chemistry section of JEE Advanced 2025 includes Gaseous and liquid states, Atomic structure and chemical bonding, Energetics, Chemical equilibrium, Electrochemistry, Chemical kinetics, etc. Candidates can check the sub-topics included in Physical Chemistry below.

JEE Advanced Physical Chemistry Syllabus 2025
Chapter Name Topics
General topics Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation-reduction, neutralisation, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.
Gaseous and liquid states

 

Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature; Law of partial pressures; Vapour pressure; Diffusion of gases.
Atomic structure and chemical bonding Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation involving s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species;  Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).
Energetics First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity.
Chemical equilibrium Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure); Significance of ?G and ?G0 in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions;  Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.
Electrochemistry Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.
Chemical kinetics Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation).
Solid state Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, alpha, beta, gamma), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.
Solutions Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.
Surface chemistry Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples).
Nuclear chemistry Radioactivity: isotopes and isobars; Properties of alpha, Beta and Gamma rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to proton-neutron ratio; Brief discussion on fission and fusion reactions.

JEE Advanced Inorganic Chemistry 2025

Topics covered in JEE Advanced 2025’s Inorganic Chemistry course include: Ores and minerals; Extractive metallurgy; Principles of Qualitative Analysis; Isolation/Preparation and Properties of the Following Non-Metals; and Preparation and Properties of the Following Compounds. Applicants can review the Organic Chemistry subtopics listed below.

JEE Advanced Inorganic Chemistry 2025
Chapter Name Topics
Isolation/preparation and properties of the following non-metals Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.
Preparation and properties of the following compounds Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide;  Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.
Transition elements (3d series) Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cis-trans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).
Preparation and properties of the following compounds Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.
Ores and minerals Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.
Extractive metallurgy Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead);
Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).
Principles of qualitative analysis Groups I to V (only Ag+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+,  Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and sulphide.

JEE Advanced Organic Syllabus 2025

Preparation, characteristics, and reactivity of alkanes, alkenes and alkynes, benzene reactions, phenols, carbohydrates, practical organic chemistry, and other subjects are covered in the Organic Syllabus 2025. Candidates can review the subject wise topics listed below.

JEE Advanced Organic Syllabus 2025
Topics Sub-Topics
Concepts Hybridisation of carbon; ? and ?-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism;  Optical isomerism of compounds containing up to two asymmetric centres, (R, S and E, Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Keto-enoltautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage;  Formation, structure and stability of carbocations, carbanions and free radicals.
Preparation, properties and reactions of alkanes Homologous series, physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.
Preparation, properties and reactions of alkenes and alkynes Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen);  Addition reactions of alkynes; Metal acetylides.
Reactions of benzene Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of o-, m- and p-directing groups in monosubstituted benzenes.
Phenols Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.
Characteristic reactions of the following (including those mentioned above) Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions,  nucleophilic substitution reactions;  Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers: Preparation by Williamson’s  Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition);  Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).
Carbohydrates Classification; mono- and di-saccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.
Amino acids and peptides General structure (only primary structure for peptides) and physical properties
Properties and uses of some important polymers Natural rubber, cellulose, nylon, teflon and PVC.

 

Practical organic chemistry Detection of elements (N, S, halogens); Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of monofunctional organic compounds from binary mixtures.

JEE Advanced Chemistry Syllabus 2025 Subject wise Weightage

Those who wish to take the JEE Advanced 2025 exam should study in accordance with the JEE Advanced Chemistry Syllabus 2024 weighting. The majority of inquiries concern electrochemistry, aromatic compounds, coordination compounds, etc.

JEE Advanced Chemistry Topics Weightage(%)
Inorganic Chemistry-II 28%
Coordination Compounds 9%
Metallurgy 3%
Qualitative Analysis 8%
p-Block 17-18 Group 3%
p-block (15-16 Grp) 3%
Organic Chemistry-I 7%
Hydrocarbon 3%
Practical Organic Chemistry 3%
Organic Chemistry-II 27%
Aromatic Compounds 10%
Biomolecules 3%
Hydrocarbon (Alkane, Alkene & Alkyne) 8%
Stereoisomerism 3%
Aldehyde Ketone 3%
Physical Chemistry-I 20%
Atomic Structure & Nuclear Chemistry 3%
Chemical Equilibrium 3%
Equivalent Concept 7%
Thermodynamics and Thermochemistry 7%
Physical Chemistry-II 19%
Chemical Kinetics 3%
Electrochemistry 7%
Solid State 3%
Surface Chemistry 3%
Solution & Colligative Properties 3%

 

JEE Advanced Syllabus 2025 for Mathematics

JEE Advanced Mathematics Syllabus 2025 includes topics such as Algebra, Matrices, Trigonometry, Analytical geometry, Integral calculus, etc. JEE Advanced Candidates can check the chapter-wise topics in the table below.

JEE Advanced Syllabus 2025 for Mathematics
S. No. Chapter Name JEE Advanced 2025 Maths Topics
1 Algebra Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
Logarithms and their properties.
Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.
2 Matrices Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
3 Probability

 

Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
4 Trigonometry

 

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.
Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).
5 Analytical geometry Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.
Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines;  Centroid, orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.  Locus problems.
Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.
6 Differential calculus Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions. Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.
Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.
Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.
7 Integral calculus Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first-order differential equations.
8 Vectors Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.

JEE Advanced Mathematics Syllabus 2025 Subject wise Weightage

Candidates must go through JEE Advanced Mathematics Weightage 2025 before starting their preparation. Most of the questions in Maths are asked from coordinate Geometry, Integral Calculus, Definite Integration, Probability, etc.

JEE Advanced Maths Topics Weightage(%)
Complex Numbers 6%
Complex Numbers 6%
Coordinate Geometry 21%
Circle 8%
Ellipse 3%
Parabola 7%
Straight Line 3%
Differential Calculus 7%
Application of Derivatives 7%
Fundamentals of Mathematics 3%
Fundamentals of Mathematics 3%
Integral Calculus 21%
Area under curve 3%
Definite integration 15%
Differential equation 3%
Matrix & Determinants 10%
Matrices & Determinants 10%
Permutation & Combination 3%
Permutation & Combination 3%
Probability 13%
Probability 13%
Trigonometry 10%
Inverse Trigonometric function 3%
Solution of Triangle 3%
Trigonometric Ratio & identities 3%
Vector and 3D 7%
Vector 7%

 

JEE Advanced Syllabus 2025 Reduced

Interested candidates can check the subject-wise reduced syllabus and newly added topics in the table below

Subject New topics Added Syllabus Reduction Weightage
Physics
  • Kirchhoff’s laws for alternating current (AC) circuits
  • Transformer
  • Semiconductor devices: diodes, transistors
  • Removal of certain numerical problems and a greater emphasis on conceptual understanding
  • Simplification of certain topics, such as reducing the complexity of wave propagation and interference
35%
Chemistry
  • Coordination compounds: isomerism, bonding, and reactivity
  • Polymers: classification, properties, and synthesis
  • Biomolecules: carbohydrates, lipids, proteins, and nucleic acids
  • Reduction in the number of organic reactions
  • Simplification of certain concepts, such as reducing the complexity of chemical bonding and stoichiometry
  • Greater emphasis on fundamental principles
35%
Maths
  • Vector calculus: applications to lines, planes, and surfaces
  • Differential equations: first order and higher order equations
  • Probability distributions: binomial, Poisson, and normal distributions
  • Reduction in the number of formulas and a greater emphasis on problem-solving skills
  • Streamlining of certain topics, such as reducing the complexity of coordinate geometry and trigonometry
30%

 

Do or Die Chapters of JEE Advanced Syllabus

the detailed syllabus for each subject in JEE Advanced 2025:

Mathematics

  1. Algebra
    • Complex Numbers: Algebra of complex numbers, polar representation, square roots, cube roots, De Moivre’s theorem.
    • Quadratic Equations: Roots of quadratic equations, their properties, formation of quadratic equations with given roots.
    • Matrices and Determinants: Types of matrices, determinants, properties, inverses, systems of linear equations.
    • Permutations and Combinations: Fundamental principles, counting, arrangements, circular permutations.
    • Binomial Theorem: General and middle terms, simple applications.
    • Sequence and Series: Arithmetic, geometric progressions, sum of finite series.
  2. Trigonometry
    • Trigonometric Ratios and Identities: Relationships, transformations, and equations.
    • Inverse Trigonometric Functions: Basic properties and identities.
  3. Analytical Geometry
    • Two-dimensional Geometry: Cartesian coordinates, straight lines, circles, parabolas, ellipses, and hyperbolas.
    • Three-dimensional Geometry: Coordinates, distances, section formulas, direction ratios and cosines, planes, lines, shortest distance between two skew lines.
  4. Differential Calculus
    • Limits and Continuity: Limits, continuity, differentiability of functions.
    • Differentiation: Methods of differentiation, applications of derivatives (tangent, normal, monotonicity, maxima, minima).
  5. Integral Calculus
    • Integration: Indefinite and definite integrals, properties, fundamental theorem of calculus.
    • Application of Integrals: Areas under curves, areas between two curves.
  6. Vectors
    • Basic concepts of vector algebra, dot and cross products, their properties, vector equations of lines and planes.
  7. Statistics and Probability
    • Statistics: Measures of central tendency, dispersion.
    • Probability: Conditional probability, Bayes’ theorem, discrete random variables, binomial distribution.

Physics

  1. General Physics
    • Units and Dimensions: Fundamental and derived units, dimensional analysis.
    • Measurement: Accuracy, precision, significant figures, error analysis.
  2. Mechanics
    • Kinematics: Motion in straight line, plane, projectile motion.
    • Laws of Motion: Newton’s laws, friction, equilibrium of forces.
    • Work, Energy, and Power: Conservation laws, collision.
    • System of Particles and Rigid Body: Center of mass, torque, rotational motion.
    • Gravitation: Newton’s law of gravitation, gravitational potential, Kepler’s laws.
    • Properties of Matter: Elasticity, viscosity, surface tension.
  3. Thermal Physics
    • Thermodynamics: Laws of thermodynamics, thermal equilibrium, heat transfer.
    • Kinetic Theory: Ideal gas laws, Maxwell’s distribution, degrees of freedom.
  4. Electricity and Magnetism
    • Electrostatics: Coulomb’s law, electric field and potential, capacitors.
    • Current Electricity: Ohm’s law, Kirchhoff’s laws, EMF, RC circuits.
    • Magnetic Effects of Current and Magnetism: Biot-Savart law, Ampere’s law, magnetic dipole, Earth’s magnetism.
    • Electromagnetic Induction: Faraday’s laws, Lenz’s law, inductance.
    • Alternating Currents: RMS, average value, reactance, resonance.
  5. Optics
    • Ray Optics: Reflection, refraction, total internal reflection, lenses, mirror formula.
    • Wave Optics: Interference, diffraction, Young’s double-slit experiment, polarization.
  6. Modern Physics
    • Dual Nature of Matter and Radiation: Photoelectric effect, de Broglie wavelength.
    • Atomic Physics: Bohr model, energy levels, X-rays.
    • Nuclear Physics: Radioactivity, binding energy, fission, and fusion.

Chemistry

  1. Physical Chemistry
    • Some Basic Concepts in Chemistry: Mole concept, stoichiometry.
    • Atomic Structure: Bohr’s model, quantum numbers, orbitals, electronic configuration.
    • States of Matter: Gases, liquids, solids, kinetic theory.
    • Chemical Thermodynamics: Laws, enthalpy, entropy, Gibbs energy.
    • Equilibrium: Law of mass action, Le Chatelier’s principle, ionic equilibrium.
    • Redox Reactions: Oxidation states, balancing redox reactions.
    • Chemical Kinetics: Rate laws, reaction mechanisms.
    • Surface Chemistry: Adsorption, colloids.
  2. Inorganic Chemistry
    • Classification of Elements and Periodicity: Periodic trends, properties.
    • Chemical Bonding and Molecular Structure: Ionic, covalent, metallic bonding, VSEPR theory.
    • Coordination Compounds: Ligands, coordination number, nomenclature.
    • Environmental Chemistry: Pollution, global warming, ozone depletion.
  3. Organic Chemistry
    • Basic Principles: Hybridization, electronic effects, isomerism.
    • Hydrocarbons: Alkanes, alkenes, alkynes, aromatic hydrocarbons.
    • Organic Compounds Containing Oxygen: Alcohols, ethers, carbonyl compounds, carboxylic acids.
    • Organic Compounds Containing Nitrogen: Amines, nitro compounds.
    • Polymers: Classification, preparation, properties.
    • Biomolecules: Carbohydrates, amino acids, proteins, nucleic acids.

This syllabus aligns with the official JEE Advanced requirements and covers both foundational concepts and advanced applications.

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