Latest Applications Open 2024:
JEE Advanced 2025 Syllabus is Available now. IIT Kanpur is conducting this year’s JEE Advanced Exam. All the candidates who have applied for the JEE Advanced 2025. We provide the complete JEE Advanced syllabus, which contains Subjects like Physics, Chemistry, and Mathematics. The JEE Advanced syllabus is extensive, so it’s a good idea for students to start preparing early. But before you begin your JEE preparation, review the syllabus carefully. Understanding what’s in the curriculum will enable you to focus more on the concepts that may be challenging and need extra time and attention during your studies.
Students can find a detailed list of topics for each subject in the JEE Advanced syllabus. This syllabus is like a starting point for all IIT aspirants, telling them what they need to study for the exam. It’s a good idea for students to keep a copy of the syllabus and study all subjects with equal dedication to do well in the exam. The JEE Advanced 2025 syllabus covers what you’ve learned in Physics, Chemistry, and Mathematics in classes 11 and 12.
The new JEE Advanced 2025 syllabus focuses on using concepts in practical ways. So, students aiming for IITs need a good plan and enough time to cover the entire syllabus before the exams. But it’s important to understand that preparing for JEE Advanced is tough because it’s one of the hardest exams in the world. To succeed, students should spend most of their prep time practising and improving the concepts in the latest syllabus. They need to be logical, dedicated, and hardworking.
JEE Advanced 2025 Syllabus – Available
JEE Advanced 2025 Syllabus is Available now. Click to Download Syllabus PDF.
| Subjects | Download PDF |
| Physics Syllabus | Click to Download PDF |
| Chemistry Syllabus | Click to Download PDF |
| Mathematics Syllabus | Click to Download PDF |
What are the changes in JEE Advanced 2025 syllabus?
Instead, the solution of the triangle has been eliminated. For physics, semiconductors and communications have been excluded; meanwhile, a few topics of JEE Main, including forced and damped oscillations, EM waves and polarization, have been added instead.
Which syllabus is not included in JEE Advanced?
Topics included in JEE Main but NOT in the JEE Advanced syllabus include chemicals in food (preservatives, artificial sweetening agents) and cleansing agents (soaps and detergents, cleansing action).
JEE Advanced Syllabus 2025 Highlights
The JEE Advanced 2025 syllabus, released by the National Testing Agency (NTA), is a reference for students aspiring for India’s most competitive engineering entrance exams. It encompasses a comprehensive range of physics, chemistry, and mathematics topics, with a notable emphasis on key subjects that carry significant weightage in the examination.
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| Particulars | Details |
| Name of the Exam | JEE Advanced 2025 |
| Syllabus released by | National Testing Agency (NTA) |
| Papers Conducted | Paper 1 for BE/ BT |
| Paper 2 for BArch/ BPlan | |
| Architecture Aptitude Test for BArch/BPlan | |
| Subjects included in Paper 1 | Physics, Chemistry, Mathematics |
| Important Topics | Differential Calculus |
| Algebra | |
| Polymers | |
| Optics | |
| Modern Physics | |
| Three-Dimensional Perception | |
| Weightage | 30% weightage each for PCM in an overall score |
JEE Advanced 2025 Physics Syllabus
The JEE Advanced Physics Syllabus is an important part of the Joint Entrance Examination (Advanced), which is needed to get into the best engineering colleges in India. This syllabus covers a range of physics topics like mechanics, electricity, modern physics, and thermodynamics. It tests students on their understanding of basic principles and how well they can use these ideas to solve problems. To do well in this tough exam and get into the best engineering programs, it’s crucial to have a strong grasp of the JEE Advanced Physics Syllabus.
| Subject | Topics |
| General | Units and dimensions, dimensional analysis – Methods of measurement and error analysis for physical quantities including various experiments – Significant figures – Least count – Vernier callipers and screw gauge (micrometre) experiments – Determination of g using a simple pendulum – Young’s modulus – elasticity of the material – Surface tension of water by capillary rise and effect of detergents – Specific heat of a liquid using a calorimeter – Focal length of a concave mirror and a convex lens using u-v method – Speed of sound using a resonance column – Verification of Ohm’s law using a voltmeter and ammeter – Specific resistance of the material of a wire using meter bridge and post office box. |
| 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 motion – Impulse – Elastic and inelastic collisions – 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 – Forced and damped oscillation (in one dimension), resonance – Linear and angular simple harmonic motions – Hooke’s law, Young’s modulus – Law of gravitation – Gravitational potential and field – Acceleration due to gravity – Kepler’s law – Geostationary orbits – Motion of planets and satellites in circular orbits – Escape velocity – Pressure in a fluid – Pascal’s law – Buoyancy – Surface energy and surface tension – Contact angle – Drops, bubbles, and capillary rise – Viscosity (Poiseuille’s equation excluded) – Modulus of rigidity and bulk modulus in mechanics – 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). |
| 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 monatomic 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) – Second law of thermodynamics – Reversible and irreversible processes – Carnot engine and its efficiency – Blackbody radiation: absorptive and emissive powers – Kirchhoff’s law – Wien’s displacement law – Stefan’s law. |
| Electricity and Magnetism | Coulomb’s law – Electric field and potential – Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field – Electric field lines – Flux of electric field – Gauss’s law and its application in simple cases – 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 – Magnetic field along the axis of a circular coil – Magnetic field inside a long straight solenoid – Force on a moving charge – Force on 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, LC, and LCR (in series) circuits with d.c. and a.c. Sources. |
| Electromagnetic Waves | Electromagnetic waves and their characteristics – Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays) including elementary facts about their uses. |
| 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) – Diffraction due to a single slit – Polarization of light – Plane polarized light – Brewster’s law – Polaroids. |
| Modern Physics | Atomic nucleus – α, β and γ 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 important topics in Physics
In the JEE Advanced physics examination, certain topics are paramount for aspirants. These critical areas include mechanics, electromagnetism, and modern physics, as they form the foundation for a wide range of challenging questions and problem-solving scenarios.
| Unit and Topic Name | Total Number of Questions | Total Marks | Percentage Weightage |
| Physics | 38 | 120 | 100% |
| Electrodynamics | 12 | 34 | 28% |
| Alternating Current | 2 | 4 | 3% |
| Capacitance | 2 | 4 | 3% |
| Current Electricity | 1 | 4 | 3% |
| Electro Magnetic Field | 2 | 8 | 7% |
| Electro Magnetic Induction | 3 | 10 | 8% |
| Electrostatics | 2 | 4 | 3% |
| Heat & Thermodynamics | 4 | 13 | 11% |
| Heat Transfer | 1 | 4 | 3% |
| KTG & Thermodynamics | 3 | 9 | 8% |
| Mechanics | 14 | 43 | 36% |
| Centre of Mass | 4 | 8 | 7% |
| Error in Measurement | 1 | 3 | 3% |
| Fluid Mechanics & Properties of Matter | 3 | 8 | 7% |
| Gravitation | 1 | 4 | 3% |
| Rigid Body Dynamics | 4 | 16 | 13% |
| Unit & Dimension | 1 | 4 | 3% |
| Modern Physics | 4 | 15 | 13% |
| Modern Physics | 2 | 8 | 7% |
| Nuclear Physics | 2 | 7 | 6% |
| Optics | 3 | 11 | 9% |
| Geometrical Optics & Physical Optics | 3 | 11 | 9% |
| SHM & Waves | 1 | 4 | 3% |
| Sound Waves | 1 | 4 | 3% |
Which IIT makes the toughest paper?
Different IITs may be known for setting challenging papers in specific engineering disciplines. For example, IIT-Madras is known for tough exams in Computer Science and Electrical Engineering, while IIT-Kharagpur is known for challenging exams in Mechanical Engineering.
What is the weightage of Physics in JEE Advanced?
Modern Physics carries the highest weightage of 12% in the JEE Advanced exam. Other topics with significant weightage include optics, the system of particles & rotational mechanics, heat and thermodynamics, waves and oscillation, electrostatics, and magnetics.
JEE Advanced 2025 Chemistry Syllabus
The JEE Advanced Chemistry Syllabus is a crucial part of the Joint Entrance Examination (JEE) needed for getting into the best engineering colleges in India. It covers many chemistry topics, including physical chemistry, inorganic chemistry, and organic chemistry. The JEE Advanced Chemistry Syllabus tests how well students grasp important chemical concepts and their problem-solving skills. It’s a crucial part of preparing for the Indian Institutes of Technology (IITs) and other top engineering colleges. Mastering this Chemistry Syllabus is essential for students to succeed in JEE Advanced.
Physical Chemistry
Physical Chemistry is the most important part of chemistry that explores the fundamental principles governing the behaviour of matter and energy at the molecular and atomic levels. It delves into the study of how substances interact, change, and transform through various physical processes, such as thermodynamics, kinetics, and quantum mechanics.
| Topics | Description |
| 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, neutralization, 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 – Vapor pressure – Diffusion of gases. |
| Atomic structure and chemical bonding | First law of thermodynamics – Internal energy, work, heat, pressure-volume work – Enthalpy, Hess’s law – Heat of reaction, fusion, and vaporization – Second law of thermodynamics – Entropy – Free energy – Criterion of spontaneity. |
| Energetics | Bohr model, the spectrum of the 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 – Hybridization 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). |
| Chemical equilibrium | Bohr model, the spectrum of the hydrogen atom, quantum numbers – Wave-particle duality, de Broglie hypothesis – Uncertainty principle – Qualitative quantum mechanical picture of the 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 – Hybridization 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). |
| Electrochemistry | Electrochemical cells and cell reactions – Standard electrode potentials – Nernst equation and its relation to ΔG – 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 | Raoult’s law – Molecular weight determination from lowering of vapour pressure, the elevation of boiling point, and depression of freezing point. |
| Solutions | Classification of solids – Crystalline state – Seven crystal systems (cell parameters a, b, c, α, β, γ) – Close-packed structure of solids (cubic) – Packing in fcc, bcc, and hcp lattices – Nearest neighbours – Ionic radii – Simple ionic compounds – Point defects. |
| Surface chemistry | Raoult’s law – Molecular weight determination from lowering of vapor pressure, the elevation of boiling point, and depression of freezing point. |
| Nuclear chemistry | Elementary concepts of adsorption (excluding adsorption isotherms) – Colloids: types, preparation methods, and general properties – Elementary ideas of emulsions, surfactants, and micelles (only definitions and examples). |
Inorganic Chemistry
Inorganic chemistry is the also important part of chemistry syllabus that deals with the study of inorganic compounds, which are substances that do not contain carbon-hydrogen (C-H) bonds. Instead, it focuses on the properties, structures, and reactions of elements and compounds that include metals, minerals, and nonmetals. Inorganic chemistry plays a crucial role in various fields, such as materials science, medicine, and environmental science, contributing to our understanding of the chemical world beyond organic molecules.
| Topics | Description |
| Isolation/Preparation of Non-Metals | Boron, silicon, nitrogen, phosphorus, oxygen, sulfur, and halogens – Properties of allotropes of carbon (only diamond and graphite), phosphorus, and sulfur. |
| Preparation and Properties of Compounds | Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides, and sulfates of sodium, potassium, magnesium, and calcium – Boron: diborane, boric acid, and borax – Aluminum: alumina, aluminum 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 – Sulfur: hydrogen sulfide, oxides, sulfurous acid, sulfuric acid, and sodium thiosulfate – Halogens: hydrohalic acids, oxides, and oxyacids of chlorine, bleaching powder – Xenon fluorides. |
| Transition Elements (3d Series) | Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides, and sulfates of sodium, potassium, magnesium, and calcium – Boron: diborane, boric acid, and borax – Aluminum: 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 – Sulfur: hydrogen sulfide, oxides, sulfurous acid, sulfuric acid, and sodium thiosulfate – Halogens: hydrohalic acids, oxides, and oxyacids of chlorine, bleaching powder – Xenon fluorides. |
| Preparation and Properties of Compounds | Oxides and chlorides of tin and lead – Oxides, chlorides, and sulfates of Fe2+, Cu2+, and Zn2+ – Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulfate. |
| Ores and Minerals | Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminum, zinc, and silver. |
| Extractive Metallurgy | Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc, and silver. |
| 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), sulfate, and sulfide. |
Organic Chemistry
Organic chemistry is the branch of chemistry that focuses on studying carbon-containing compounds. It explores the structure, properties, and reactions of molecules vital to life and plays a significant role in various industries, such as pharmaceuticals, agriculture, and materials science.
| Topics | Description |
|---|---|
| Concepts | Hybridization of carbon – σ and π-bonds – Shapes of simple organic molecules – Structural and geometrical isomerism – Optical isomerism of compounds containing up to two asymmetric centers – 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-enol tautomerism – 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-catalyzed 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, sulfonation, Friedel-Crafts alkylation, and acylation – Effect of o-, m-, and p-directing groups in monosubstituted benzenes. |
| Phenols | Acidity, electrophilic substitution reactions (halogenation, nitration, and sulfonation) – Reimer-Tieman reaction, Kolbe reaction. |
| Characteristic Reactions of Other Organic Compounds | 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 | Classification; mono- and disaccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose. |
| Properties and Uses of 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 mono-functional organic compounds from binary mixtures. |
JEE Advanced important topics in Chemistry
Chemistry is a essential subject with specific topics that students must focus on. These important areas include organic chemistry, inorganic chemistry, and physical chemistry, which form the foundation for various challenging questions and are essential for success in the exam.
| Unit and topic name | Total number of questions | Total marks | (%) Weightage |
| Chemistry | 38 | 120 | 100% |
| Inorganic Chemistry-II | 9 | 33 | 28% |
| Coordination Compounds | 3 | 11 | 9% |
| Metallurgy | 1 | 4 | 3% |
| Qualitative Analysis | 3 | 10 | 8% |
| p-Block 17-18 Group | 1 | 4 | 3% |
| p-block (15-16 Grp) | 1 | 4 | 3% |
| Organic Chemistry-I | 2 | 8 | 7% |
| Hydrocarbon | 1 | 4 | 3% |
| Practical Organic Chemistry | 1 | 4 | 3% |
| Organic Chemistry-II | 10 | 32 | 27% |
| Aromatic Compounds | 3 | 12 | 10% |
| Biomolecules | 1 | 4 | 3% |
| Hydrocarbon (Alkane, Alkene & Alkyne) | 3 | 9 | 8% |
| Stereoisomerism | 1 | 3 | 3% |
| Aldehyde Ketone | 2 | 4 | 3% |
| Physical Chemistry-I | 9 | 24 | 20% |
| Atomic Structure & Nuclear Chemistry | 1 | 4 | 3% |
| Chemical Equilibrium | 2 | 4 | 3% |
| Equivalent Concept | 4 | 8 | 7% |
| Thermodynamics and Thermochemistry | 2 | 8 | 7% |
| Physical Chemistry-II | 8 | 23 | 19% |
| Chemical Kinetics | 1 | 4 | 3% |
| Electrochemistry | 3 | 8 | 7% |
| Solid State | 1 | 3 | 3% |
| Surface Chemistry | 1 | 4 | 3% |
| Solution & Colligative Properties | 2 | 4 | 3% |
Is there any difference between paper 1 and 2 in JEE Advanced?
Both Paper 1 and Paper 2 in JEE Advanced have different question patterns and may cover different topics. Paper 1 is typically for candidates aspiring to pursue B.E./B. Tech programs, while Paper 2 is for those interested in B.Arch/B.Plan programs. The specific differences in content and format can vary from year to year.
What is the minimum marks required in each subject in JEE Advanced?
The minimum marks required in each subject in JEE Advanced can vary from year to year and depend on factors such as the difficulty of the exam. The cutoff marks are typically announced after the exam results are released and can vary for categories (General, OBC, SC, ST, etc.). Candidates must meet both the aggregate and cutoff in each subject to qualify for the exam.
JEE Advanced 2025 Mathematics Syllabus
The JEE Advanced Mathematics Syllabus is an integral part of one of the toughest engineering entrance exams in India. This syllabus covers various mathematical topics, including calculus, algebra, geometry, and trigonometry. Proficiency in these areas is crucial for success in the examination, as mathematical concepts are extensively tested.
The syllabus evaluates mathematical skills and the ability to apply them in problem-solving. Mastery of the JEE Advanced Mathematics Syllabus is essential for aspiring engineering students seeking admission to prestigious Indian Institutes of Technology (IITs) and other renowned engineering institutions.
| Mathematics Topics | Description |
| Sets, Relations, and Functions | Sets and their representations – Different kinds of sets (empty, finite, and infinite) – Algebra of sets (intersection, complement, difference, symmetric difference) – De-Morgan’s laws on set operations – Cartesian product of finite sets – Ordered pair, relations, domain, and codomain of relations – Equivalence relations – Functions as mappings – Domain, codomain, range of functions – Invertible functions – Types of functions (polynomial, trigonometric, exponential, logarithmic, power, absolute value, greatest integer, etc.) – Operations on functions (sum, difference, product, composition) |
| Algebra | Algebra of complex numbers – Addition, multiplication, conjugation – Polar representation – Modulus and principal argument properties – Triangle inequality – Cube roots of unity – Geometric interpretations – Fundamental theorem of algebra – Quadratic equations with real coefficients – Relations between roots and coefficients – Formation of quadratic equations with given roots – Symmetric functions of roots – Arithmetic and geometric progressions – Arithmetic and geometric means – Sums of finite arithmetic and geometric progressions – Infinite geometric series – Sum of the first n natural numbers – 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. |
| 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 – Elementary row and column transformations – Determinant of a square matrix of order up to three – Adjoint of a matrix – Inverse of a square matrix of order up to three – Properties of matrix operations – Diagonal, symmetric, and skew-symmetric matrices and their properties – Solutions of simultaneous linear equations in two or three variables. |
| Probability and Statistics | Random experiment, sample space, types of events – Addition and multiplication rules of probability – Conditional probability – Independence of events – Total probability – Bayes’ Theorem – Probability computation using permutations and combinations – Measure of central tendency and dispersion – Mean, median, mode, mean deviation, standard deviation, and variance of grouped and ungrouped data – Analysis of frequency distribution with the same mean but different variance – Random variable, mean and variance of the random variable |
| Trigonometry | Trigonometric functions, periodicity, and graphs – Addition and subtraction formulae – Formulae involving multiple and sub-multiple angles – General solution of trigonometric equations – Inverse trigonometric functions (principal value only) and their elementary properties |
| Analytical Geometry | Two dimensions: – Cartesian coordinates – Distance between two points – Section formulae – Shift of origin – Equation of a straight line – 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 – Centroid, orthocentre, incentre, and circumcentre of a triangle – Equation of a circle – 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 parabola, ellipse, and hyperbola in standard form – Their foci, directrices, and eccentricity – Parametric equations, equations of tangent and normal – Locus problems. Three dimensions: – Distance between two points – Direction cosines and direction ratios – Equation of a straight line in space – Skew lines – Shortest distance between two lines – Equation of a plane – Distance of a point from a plane – Angle between two lines – Angle between two planes – Angle between a line and the plane – Coplanar lines. |
| Differential Calculus | Limit of a function at a real number – 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 – 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 various types of functions – Tangents and normals – Increasing and decreasing functions – Derivatives of order two – Maximum and minimum values of a function – Rolle’s theorem – Lagrange’s mean value theorem – Geometric interpretation of the two theorems – Derivatives up to order two of implicit functions – Geometric interpretation of derivatives. |
| Integral Calculus | Integration as the inverse process of differentiation – Indefinite integrals of standard functions – Definite integrals – Fundamental theorem of integral calculus – Techniques of integration (integration by parts, substitution, partial fractions) – Application of definite integrals to determine areas bounded by simple curves Formation of ordinary differential equations – Solution of homogeneous differential equations of the first order – Separation of variables method – Linear first-order differential equations. |
| Vectors | Addition of vectors – Scalar multiplication – Dot and cross products – Scalar and vector triple products – Geometrical interpretations. |
JEE Advanced important topics in Maths
In the JEE Advanced exam, some math topics are crucial for success. These key areas include calculus and algebra, forming the core of the test and requiring a strong grasp of fundamental mathematical concepts.
| Unit and topic name | Total number of questions | Total marks | (%) Weightage |
| Mathematics | 38 | 120 | 100% |
| Complex Numbers | 2 | 7 | 6% |
| Complex Numbers | 2 | 7 | 6% |
| Coordinate Geometry | 9 | 25 | 21% |
| Circle | 3 | 9 | 8% |
| Ellipse | 1 | 4 | 3% |
| Parabola | 3 | 8 | 7% |
| Straight Line | 2 | 4 | 3% |
| Differential Calculus | 3 | 8 | 7% |
| Application of Derivatives | 3 | 8 | 7% |
| Fundamentals of Mathematics | 1 | 4 | 3% |
| Fundamentals of Mathematics | 1 | 4 | 3% |
| Integral Calculus | 8 | 25 | 21% |
| Area under curve | 1 | 3 | 3% |
| Definite integration | 6 | 18 | 15% |
| Differential equation | 1 | 4 | 3% |
| Matrix & Determinants | 4 | 12 | 10% |
| Matrices & Determinants | 4 | 12 | 10% |
| Permutation & Combination | 1 | 4 | 3% |
| Permutation & Combination | 1 | 4 | 3% |
| Probability | 5 | 15 | 13% |
| Probability | 5 | 15 | 13% |
| Trigonometry | 3 | 12 | 10% |
| Inverse Trigonometric function | 1 | 4 | 3% |
| Solution of Triangle | 1 | 4 | 3% |
| Trigonometric Ratio & identities | 1 | 4 | 3% |
| Vector and 3D | 2 | 8 | 7% |
| Vector | 2 | 8 | 7% |
JEE Advanced AAT Syllabus 2025
The JEE Advanced AAT (Architecture Aptitude Test) Syllabus is the roadmap for students aspiring to pursue a career in architecture. It outlines the specific subjects and skills required for this specialized examination. This syllabus covers architectural awareness, drawing, and design, enabling candidates to showcase their creativity and problem-solving abilities. Mastering the JEE Advanced AAT Syllabus is essential for those aiming to secure admission to prestigious architecture programs, as it forms the foundation for success in this competitive field.
| Category | Description |
| Freehand Drawing | Simple drawings depicting objects in correct form, proportion, surface texture, and relative location. These can be common domestic or everyday items like furniture and equipment, drawn from memory. |
| Geometrical Drawing | Exercises involving lines, angles, triangles, quadrilaterals, polygons, circles, etc. It includes the study of plan (top view) and elevation (front/side views) of basic solid objects such as prisms, cones, cylinders, cubes, and surface holders. |
| Three-dimensional Perception | Understanding and appreciating three-dimensional forms, including their color, volume, and orientation. This skill involves visualizing objects by structuring them in memory. |
| Imagination and Aesthetic Sensitivity | Composition exercises using provided elements, context mapping, and creativity assessments with familiar objects. It evaluates the sense of color grouping and application. |
| Architectural Awareness | General interest and awareness of renowned architectural creations, both national and international, as well as knowledge of notable places and personalities in the architectural and design domain. |
JEE Advanced 2025 Preparation Books
Preparing for JEE Advanced, one of India’s toughest engineering exams, requires dedication and the right resources. The choice of books can make a significant difference in your preparation journey. In this guide, we’ll introduce you to some of the best books for JEE Advanced and provide valuable preparation tips to help you excel in this challenging examination. These books are your companions in mastering the subjects, sharpening your problem-solving skills, and ultimately, achieving your dream of securing a seat in prestigious engineering institutions.
Preparation Books for Chemistry Syllabus
When preparing for Chemistry, having the right books is crucial. These books help you understand and master the concepts, equations, and reactions that make the Chemistry syllabus, making your preparation effective and efficient.
| Chemistry Topic | Recommended Books |
| Physical Chemistry | – “Physical Chemistry” by O P Tandon |
| Organic Chemistry | – “Organic Chemistry” by O P Tandon |
| – “Organic Chemistry” by Paula Bruice Yurkanis | |
| – “Organic Chemistry” by Morrison & Boyd | |
| Inorganic Chemistry | – “Inorganic Chemistry” by O P Tandon |
| – “Inorganic Chemistry” by J D Lee |
Preparation Books for Physics Syllabus
The Preparation books for the Physics syllabus are essential tools for mastering the subject. They provide detailed explanations and practice problems to help students understand and excel in Physics concepts and problem-solving for exams like JEE Advanced.
| Physics Topic | Recommended Books |
| General Physics | – “Concepts of Physics” by H C Verma (Vol-1 and Vol-2) |
| – “Fundamentals of Physics” by David Halliday/Resnick/Walker | |
| – “IIT JEE Physics” by Arihant | |
| – “Problems in General Physics” by I E Irodov |
Preparation Books for Mathematics Syllabus
Preparation books for the Mathematics syllabus are essential to help students’ studies. These books provide clear explanations and practice problems, making it easier for students to understand and master mathematical concepts.
| Mathematics Topic | Recommended Books |
| Integral Calculus | – “Integral Calculus for IIT-JEE” by Amit M Agarwal (Arihant Publications) |
| Algebra | – “A Text-Book of Algebra For JEE Main & Advanced” by Dr S K Goyal (Arihant Publications) |
| Calculus of One Variable | – “Problems in Calculus Of One Variable” by I A Maron |
| Trigonometry and Coordinate Geometry | – “Plane Trigonometry and Coordinate Geometry” (Two Books) by S L Loney |
| Objective Mathematics | – “Objective Mathematics” by R D Sharma |
Preparation Books for JEE Advanced Syllabus
Preparation books for the JEE Advanced syllabus are indispensable tools for aspiring engineers. These meticulously crafted resources comprehensively cover the exam’s challenging topics, equipping students with the knowledge and skills needed to excel in one of India’s most competitive entrance examinations.
| Subject | Books |
| Physics | – Concepts of Physics by H C Verma (Vol-1 and Vol-2) |
| – Fundamentals of Physics by David Halliday/Resnick/Walker | |
| – IIT JEE Physics by Arihant (35 years Chapterwise Solved Papers 2013-1979) | |
| Chemistry | – Physical Chemistry by OP Tandon |
| – Modern Approach to Chemical Calculations by R.C. Mukherjee | |
| – Organic Chemistry by O.P. Tandon | |
| – Organic Chemistry by Paula Bruice Yurkanis | |
| – Organic Chemistry by Morrison & Boyd | |
| – Inorganic Chemistry by J.D Lee | |
| – Inorganic Chemistry by O P Tandon | |
| Mathematics | – Objective Mathematics By R.D. Sharma |
| – Plane Trigonometry and Coordinate Geometry (Two Books) by S.L Loney | |
| – Problems in Calculus Of One Variable by I.A.Maron | |
| – Integral Calculus for IIT-JEE by Amit M Agarwal (Arihant Publications) | |
| – A Text Book of Algebra For JEE Main & Advanced by Dr. SK Goyal (Arihant Publications) |
How to Prepare Using JEE Advanced 2025 Syllabus
When looking at the JEE Advanced 2025 syllabus, students might initially feel overwhelmed. However, to ensure effective preparation and avoid random studying, a well-thought-out plan is essential. Here’s how to prepare using the JEE Advanced 2025 syllabus:
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- Start with a Plan: Begin by organizing the topics into categories based on their importance and your familiarity with them. Identify which topics you excel in and which ones need improvement. Then, prioritize your study order as follows:
- Important and weak areas
- Important and strong areas
- Less important and weak areas
- Less important and strong areas
- Cover Everything: While some topics may seem more crucial than others, remember that JEE Advanced is unpredictable and covers all syllabus areas. It’s essential to study all topics to be well-prepared.
- Stick to the Syllabus: Focus solely on the topics outlined in the syllabus. Avoid going beyond it to prevent wasting valuable study time.
- Early Syllabus Completion: Aim to complete the entire syllabus as early as possible. Once you’ve covered all topics, allocate time for strategic revision.
JEE Advanced 2025 Preparation Tips
Preparing for the JEE Advanced exam, which opens the doors to prestigious engineering institutions, demands strategic and focused efforts. Here are some essential tips to kickstart your preparation journey:
- Understand the Syllabus: Begin by thoroughly understanding the JEE Advanced syllabus, focusing on topics where you need improvement.
- Time Management: Create a study schedule that allocates sufficient time to each subject and topic. Stick to it diligently.
- Quality Resources: Choose the right study materials and books. Reference books by renowned authors can be invaluable.
- Practice Regularly: Solve various practice problems and previous years’ question papers to enhance problem-solving skills.
- Mock Tests: Take mock tests to simulate exam conditions and assess your progress.
- Healthy Lifestyle: Maintain a balanced diet, exercise regularly, and get enough sleep to stay physically and mentally fit.
- Seek Help: Don’t hesitate to ask teachers, mentors, or peers for help when facing difficulties.
- Stay Positive: Maintain a positive attitude and stay motivated throughout your preparation.
- Stay Updated: Keep an eye on exam notifications and important dates.
- Revise Smartly: Regularly revise what you’ve learned to retain information effectively.
JEE Advanced Syllabus 2025 FAQs
Are the JEE Mains and JEE Advance syllabus the same in 2025?
Yes, the JEE Mains and JEE Advanced syllabi remain the same in 2025.
Which subjects do I have to study for JEE Advanced in 2025?
For JEE Advanced in 2025, you must study subjects like Physics, Chemistry, Mathematics, and English or Hindi.
Who Sets the syllabus for JEE Advanced in 2025?
The respective exam authorities set the syllabus for JEE Advanced in 2025.
Are there any changes to the JEE Advanced Syllabus for the year 2025?
The JEE Advanced Syllabus for 2025 has not been revised. Students can refer to the existing syllabus for their preparations.
The syllabus that should be focused more on – JEE Main or Advanced in 2025?
Since there are no major differences between the Syllabus of JEE Main and JEE Advanced in 2025, candidates can focus on the JEE Main syllabus first. Once they qualify for JEE Advanced, they can prepare accordingly.
Has the JEE Advanced 2025 syllabus been reduced?
No, the JEE Advanced 2025 syllabus has not been reduced.
Who will set the question paper for the JEE Advanced 2025?
IIT Madras is expected to set the paper for JEE Advanced 2025.
How many chapters are there in the JEE Advanced syllabus for 2025?
There are more than 60 chapters covered in the JEE Advanced syllabus for 2025.
What is the syllabus weightage uniform for all subjects in JEE Advanced in 2025?
The syllabus weightage may vary for different subjects in JEE Advanced 2025.
How should I prepare for the JEE Advanced syllabus in 2025?
To prepare for JEE Advanced in 2025, focus on thoroughly understanding the syllabus, practice previous years’ papers, and consider enrolling in coaching or self-study programs for comprehensive preparation.
What is the JEE Advanced 2025 Exam Date?
The JEE Advanced 2025 exam date has not been announced yet. Candidates should regularly check the official website for updates.
What is the mode of JEE Advanced 2025 Exam?
The JEE Advanced 2025 Examination mode is Online (Computer Based Test).
You may leave your queries below for further queries regarding JEE Advanced Syllabus 2025.
As a dedicated Biology Science graduate, I’m passionate about sharing the latest updates in national and state entrance exams through my blog. I aim to keep aspiring students informed about exam trends, important dates, and changes in syllabi. With a keen interest in education, I strive to offer valuable insights for students navigating the competitive landscape of entrance examinations and admission tests. Stay updated with me.
