Syllabus for JEE Mains 2025

If you are preparing for JEE Mains, we understand that you may have concerns about the intense competition and the vast, challenging syllabus that requires extensive preparation. At SPM & LALAN Coaching, we believe that understanding the syllabus is the first step toward success. In this article, we provide a detailed breakdown of the JEE Mains syllabus, along with expert tips and resources to help you excel.

Overview of JEE Advanced Syllabus

The JEE Mains syllabus is expertly crafted to challenge and enhance your knowledge and problem-solving skills in Physics, Chemistry, and Mathematics. By encompassing key concepts from both Class 11 and Class 12 NCERT textbooks, it guarantees not only a solid grasp of fundamental principles but also the ability to tackle complex problems with confidence. Embrace this opportunity to excel and secure your future in engineering!

Syllabus for JEE (Main) – 2025 

Syllabus for JEE Main Paper 1 (B.E./B.Tech.)- Mathematics, Physics and Chemistry

Unit	Topic	Subtopics
1.	Sets, Relations, and Functions	Sets and their representationUnion, intersection, and complement of sets and their algebraic propertiesPower setRelations: types of relations, equivalence relationsFunctions: one-one, into, and onto functions, composition of functions
2.	Complex Numbers and Quadratic Equations	Complex numbers as ordered pairs of realsRepresentation in the form 𝑎+𝑖𝑏Argand diagramAlgebra of complex numbersModulus and argument of a complex numberQuadratic equations in real and complex systems and their solutionsRelations between roots and coefficientsNature of rootsFormation of quadratic equations with given roots
3.	Matrices and Determinants	Matrices and their algebraTypes of matricesDeterminants of order 2 and 3Evaluation of determinantsArea of triangles using determinantsAdjoint and inverse of a square matrixTest of consistency and solution of simultaneous linear equations (2-3 variables) using matrices
4.	Permutations and Combinations	Fundamental principle of countingPermutations and combinationsMeaning of P(n,r)P(n, r)P(n,r) and C(n,r)C(n, r)C(n,r)Simple applications
5.	Binomial Theorem and Its Applications	Binomial theorem for positive integral indexGeneral term and middle termSimple applications
6.	Sequence and Series	Arithmetic progression (AP) and geometric progression (GP)Insertion of arithmetic and geometric means between two numbersRelation between A.M and G.M
7.	Limit, Continuity, and Differentiability	Real-valued functions and their algebraTypes: polynomial, rational, trigonometric, logarithmic, exponential, and inverse functionsGraphs of simple functionsLimits, continuity, and differentiabilityDifferentiation of the sum, difference, product, and quotient of functionsDifferentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functionsDerivatives of order up to twoApplications: rate of change, monotonic functions, maxima and minima of one variable
8.	Integral Calculus	Integral as an anti-derivativeFundamental integrals: algebraic, trigonometric, exponential, and logarithmic functionsMethods: substitution, by parts, by partial fractionsIntegration using trigonometric identitiesEvaluation of definite integralsFundamental theorem of calculusProperties of definite integralsDetermining areas bounded by simple curves
9.	Differential Equations	Ordinary differential equationsOrder and degreeSolution by separation of variablesHomogeneous and linear differential equations
10.	Coordinate Geometry	Cartesian coordinates in a planeDistance formulaSection formulaLocus and its equationThe slope of a line, parallel and perpendicular linesIntercepts on axesStraight line: equations, intersection, angles, concurrence conditionsDistance from a point to a lineCentroid, orthocentre, circumcentre of a triangleCircles: standard and general forms, radius, centreThe intersection of a line and a circleConic sections: standard equations of parabola, ellipse, and hyperbola
11.	Three-Dimensional Geometry	Coordinates in spaceDistance between two pointsSection formulaDirection ratios and cosinesThe angle between two intersecting linesEquation of a lineSkew lines and shortest distance
12.	Vector Algebra	Vectors and scalarsAddition of vectorsComponents in 2D and 3DScalar and vector products
13.	Statistics and Probability	Measures of dispersion: mean, median, mode (grouped and ungrouped data)Standard deviation, variance, mean deviationProbability: events, addition, and multiplication theoremsBayes’ theoremProbability distribution of a random variable
14.	Trigonometry	Trigonometric identities and functionsInverse trigonometric functions and their properties

Syllabus for JEE (Main) – 2025 PHYSICS 

Unit	Topic	Subtopics
1.	Units and Measurements	Units of measurement, System of units, SI Units, Fundamental and derived units, Least count, Significant figures, Errors in measurements, Dimensions of physical quantities, Dimensional analysis and its applications.
2.	Kinematics	Frame of reference, Motion in a straight line, Speed and velocity, Uniform and non-uniform motion, Average speed and instantaneous velocity, Uniformly accelerated motion, Velocity-time, and position-time graphs, Relations for uniformly accelerated motion, Relative velocity, Motion in a plane, Projectile motion, Uniform circular motion.
3.	Laws of Motion	Force and inertia, Newton’s laws of motion, Momentum, Impulse, Law of conservation of linear momentum, Equilibrium of concurrent forces, Static and kinetic friction, Laws of friction, Rolling friction, Dynamics of uniform circular motion, Centripetal force and applications (vehicle on level and banked roads).
4.	Work, Energy, and Power	Work done by constant and variable forces, Kinetic and potential energy, Work-energy theorem, Power, Potential energy of a spring, Conservation of mechanical energy, Conservative and non-conservative forces, Motion in a vertical circle, Elastic and inelastic collisions in one and two dimensions.
5.	Rotational Motion	Centre of mass, Moment of a force, Torque, Angular momentum, Conservation of angular momentum, Moment of inertia, Radius of gyration, Values of moments of inertia for simple geometrical objects, Parallel and perpendicular axes theorems, Equilibrium of rigid bodies, Rigid body rotation, Linear vs rotational motion.
6.	Gravitation	The universal law of gravitation, Acceleration due to gravity and variations with altitude and depth, Kepler’s law, Gravitational potential energy, Gravitational potential, Escape velocity, Satellite motion, Orbital velocity, Period, and Energy of a satellite.
7.	Properties of Solids and Liquids	Elastic behavior, Stress-strain relationship, Hooke’s law, Young’s modulus, Bulk modulus, Modulus of rigidity, Fluid pressure, Pascal’s law, Viscosity, Stoke’s law, Terminal velocity, Bernoulli’s principle, Surface tension, Capillary rise, Thermal expansion, Heat transfer (conduction, convection, radiation).
8.	Thermodynamics	Thermal equilibrium, Zeroth law of thermodynamics, Heat, Work, Internal energy, First law of thermodynamics, Isothermal and adiabatic processes, Second law of thermodynamics, Reversible and irreversible processes.
9.	Kinetic Theory of Gases	Equation of state, Work done on compressing gas, Assumptions of kinetic theory, Pressure, RMS speed, Degrees of freedom, Law of equipartition of energy, Specific heat capacities, Mean free path, Avogadro’s number.
10.	Oscillations and Waves	Oscillations, SHM, Energy in SHM, Simple pendulum, Wave motion, Longitudinal and transverse waves, Progressive waves, Superposition principle, Standing waves, Beats, Harmonics.
11.	Electrostatics	Electric charge, Coulomb’s law, Electric field and potential, Gauss’s law, Capacitors and capacitance, Energy stored in capacitors, Conductors, Insulators, and Dielectrics.
12.	Current Electricity	Drift velocity, Ohm’s law, Electrical resistance, Series and parallel combinations, Kirchhoff’s laws, Wheatstone bridge, and Metre bridge.
13.	Magnetic Effects of Current and Magnetism	Biot-Savart law, Ampere’s law, Magnetic forces, Torque, Moving coil galvanometer, Magnetic dipoles, Para-, dia-, and ferromagnetic substances.
14.	Electromagnetic Induction and Alternating Currents	Faraday’s law, Lenz’s law, Eddy currents, Self and mutual inductance, Alternating currents, Resonance, and Transformers.
15.	Electromagnetic Waves	Displacement current, Electromagnetic spectrum, Applications of electromagnetic waves.
16.	Optics	Reflection, Refraction, Lenses, Microscopes, Telescopes, Wave optics, Diffraction, Polarization.
17.	Dual Nature of Matter and Radiation	Photoelectric effect, Einstein’s equation, Wave-particle duality, de Broglie relation.
18.	Atoms and Nuclei	Rutherford model, Bohr model, Energy levels, Nuclear fission and fusion, Binding energy.
19.	Electronic Devices	Semiconductors, Diodes, LEDs, Zener diodes, Logic gates.
20.	Experimental Skills	Vernier calipers, Screw gauge, Simple pendulum, Young’s modulus, Surface tension, Viscosity, Resonance tube, Specific heat capacity, Resistance measurements, Optical experiments, Zener diode characteristics.

CHEMISTRY 

Physical Chemistry

Unit	Unit Title	Topics Covered
1.	Some Basic Concepts in Chemistry	Matter, Dalton’s atomic theory, mole concept, laws of chemical combination, and stoichiometry.
2.	Atomic Structure	Electromagnetic radiation, Bohr model, quantum mechanics, orbitals, electronic configuration.
3.	Chemical Bonding and Molecular Structure	Ionic and covalent bonds, hybridization, VSEPR theory, molecular orbital theory, hydrogen bonding.
4.	Chemical Thermodynamics	Laws of thermodynamics, enthalpy, entropy, Gibbs energy, spontaneity of reactions.
5.	Solutions	Concentration terms, Raoult’s law, colligative properties, Van’t Hoff factor.
6.	Equilibrium	Dynamic equilibrium, Le Chatelier’s principle, acids and bases, buffer solutions, solubility.
7.	Redox Reactions and Electrochemistry	Oxidation-reduction, electrochemical cells, Nernst equation, conductance in electrolytes.
8.	Chemical Kinetics	Reaction rates, order, and molecularity, Arrhenius equation, activation energy, collision theory.

Inorganic Chemistry

Unit No	Unit Title	Topics Covered
9.	Classification of Elements and Periodicity	Periodic law, modern periodic table, periodic trends (atomic radii, ionization energy, etc.).
10.	p-Block Elements	Properties and trends of Group 13 to Group 18 elements, unique behavior of first elements.
11.	d- and f-Block Elements	Properties of transition elements, lanthanoids, actinoids, oxidation states, preparation of K₂Cr₂O₇ and KMnO₄.
12.	Coordination Compounds	Werner’s theory, ligands, nomenclature, isomerism, bonding, color, and applications in analysis.

Organic Chemistry

Unit No.	Unit Title	Topics Covered
13.	Purification and Characterisation of Compounds	Methods of purification, qualitative and quantitative analysis, empirical/molecular formulae.
14.	Basic Principles of Organic Chemistry	Hybridization, functional groups, isomerism, electronic effects, types of reactions.
15.	Hydrocarbons	Alkanes, alkenes, alkynes, aromatic hydrocarbons, electrophilic substitution reactions.
16.	Organic Compounds Containing Halogens	Substitution reactions, uses, environmental effects of chloroform, freons, DDT.
17.	Organic Compounds Containing Oxygen	Alcohols, phenols, ethers, aldehydes, ketones, and carboxylic acids, and important reactions.
18.	Organic Compounds Containing Nitrogen	Amines, diazonium salts, properties, reactions, and uses.
19.	Biomolecules	Carbohydrates, proteins, enzymes, vitamins, nucleic acids, hormones.
20.	Polymers	Classification, methods of polymerization, natural and synthetic polymers, biodegradable polymers.
21.	Chemistry in Everyday Life	Drugs, chemicals in food, cleansing agents.

Syllabus for JEE (Main) Paper 2A (B.Arch.) – Mathematics, Aptitude Test and Drawing Test Part – I MATHEMATICS 

Unit No.	Unit Title	Topics Covered
1.	Sets, Relations, and Functions	Sets and their representation; union, intersection, complement of sets; algebraic properties; power set; relations, types of relations, equivalence relations; functions (one-one, onto, and composition of functions).
2.	Complex Numbers and Quadratic Equations	Complex numbers as ordered pairs of reals, representation in a+ib form, Argand diagram; algebra of complex numbers; modulus, argument; quadratic equations in real and complex systems; roots and coefficients; nature of roots; forming quadratic equations with given roots.
3.	Matrices and Determinants	Matrices (types, algebra), determinants of order 2 and 3, area of triangles using determinants, adjoint, and inverse of square matrices; testing the consistency of simultaneous linear equations using matrices.
4.	Permutations and Combinations	Fundamental principle of counting; permutations (P(n, r)) and combinations (C(n, r)); simple applications.
5.	Binomial Theorem	Binomial theorem for positive integral index; general term, middle term, and applications.
6.	Sequence and Series	Arithmetic and geometric progressions; arithmetic and geometric means; relation between AM and GM.
7.	Limit, Continuity, and Differentiability	Real-valued functions; algebra of functions; polynomial, rational, trigonometric, logarithmic, exponential functions; inverse functions; limits, continuity, and differentiability; differentiation rules (sum, difference, product, quotient); derivatives of trigonometric, logarithmic, exponential, composite, implicit functions; applications: rate of change, monotonicity, maxima, and minima.
8.	Integral Calculus	Integral as anti-derivative; fundamental integrals; integration methods (substitution, parts, partial fractions, trigonometric identities); definite integrals, properties; calculating area of regions bounded by curves.
9.	Differential Equations	Ordinary differential equations; order and degree; solution by separation of variables; homogeneous and linear differential equations.
10.	Coordinate Geometry	Cartesian coordinates, distance formula, section formula, slope of a line, locus, intercepts; straight lines (equations, intersections, angles, concurrence); centroid, orthocentre, circumcentre of triangles; circles (standard and general equations, radius, center, points of intersection with lines); conic sections (parabola, ellipse, hyperbola).
11.	Three-Dimensional Geometry	Coordinates of a point in space, distance between points, section formula; direction ratios and cosines; angles between lines; skew lines, shortest distance, and equations.
12.	Vector Algebra	Vectors and scalars; addition, components in 2D and 3D; scalar and vector products.
13.	Statistics and Probability	Measures of dispersion: mean, median, mode (grouped and ungrouped data); standard deviation, variance, mean deviation; probability: addition and multiplication theorems, Bayes’ theorem, the probability distribution of random variables.
14.	Trigonometry	Trigonometric identities, functions, inverse functions, and their properties.

Aptitude Test Syllabus

Unit No.	Unit Title	Topics Covered
1.	Awareness of Persons and Objects	Awareness of persons, buildings, materials, objects, and textures related to architecture and the built environment; visualizing 3D objects from 2D drawings; visualizing different sides of 3D objects; analytical reasoning and mental ability (visual, numerical, verbal).
2.	Three-Dimensional Perception	Understanding and appreciating the scale and proportions of objects, building forms, and elements; color, texture, harmony, and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms in 2D and 3D: union, subtraction, rotation, surface, and volume development. Generation of plans, elevations, and 3D views of objects; creating 2D and 3D compositions using given shapes and forms.

Drawing Test Syllabus

Part No.	Title	Description	Additional Notes
III	Drawing Test	Sketching scenes and activities from memory, including:	Candidates should bring their supplies: pencils, a geometry box set, crests, color pencils, and crayons.
		Urbanscape: Public spaces, markets, festivals, street scenes, monuments, recreational spaces, etc.
		Landscape: Riverfronts, jungles, gardens, trees, plants, etc.
		Rural Life: Scenes depicting rural environments and daily life.
		Medium: To be conducted on a drawing sheet.

Syllabus for JEE (Main) Paper 2B (B.Planning) – Mathematics, Aptitude Test and PlanningPart – I MATHEMATICS 

Unit No.	Unit Title	Topics Covered
1.	Sets, Relations, and Functions	Sets and their representation, Union, intersection, and complement of sets.Power set.Relations and types (equivalence relations).Functions: one-one, into, onto, and composition of functions.
2.	Complex Numbers and Quadratic Equations	Complex numbers as ordered pairs of reals.Representation in the form a+iba + iba+ib.Argand diagram.Algebra of complex numbers.Modulus and argument.Quadratic equations and their solutions.
3.	Matrices and Determinants	Matrices, types, and algebra of matrices.Determinants, evaluation, and area of triangles.Adjoint and inverse of matrices.Solving linear equations using matrices.
4.	Permutations and Combinations	Counting principles, permutations, and combinations. Meaning of P(n,r)P(n, r)P(n,r) and C(n,r)C(n, r)C(n,r).Simple applications.
5.	Binomial Theorem and Applications	Binomial theorem for a positive integral index.General and middle terms.Simple applications.
6.	Sequence and Series	Arithmetic and Geometric progressions.Insertion of arithmetic and geometric means.Relationship between A.M and G.M.
7.	Limit, Continuity, and Differentiability	Real-valued functions.Limits, continuity, and differentiability.Differentiation of different functions (polynomial, trigonometric, etc.).Applications of derivatives (rate of change, maxima, minima).
8.	Integral Calculus	Integral as an anti-derivative.Fundamental integrals (algebraic, trigonometric, exponential, logarithmic).Integration methods (substitution, parts, partial fractions).Evaluation of definite integrals, areas under curves.
9.	Differential Equations	Ordinary differential equations: order, degree.Solution methods: separation of variables, homogeneous and linear equations.
10.	Coordinate Geometry	Cartesian system, distance, and section formulas.Slope of a line, parallel and perpendicular lines.Equations of straight lines, intersections, angles, and concurrence.Circle and conic sections equations.
11.	Three Dimensional Geometry	Coordinates of a point in space.Distance formula, section formula, direction ratios, and cosines.Equations of skew lines and the shortest distance between them.
12.	Vector Algebra	Vectors and scalars, addition of vectors.Components of vectors in 2D and 3D.Scalar and vector products.
13.	Statistics and Probability	Measures of dispersion (mean, median, mode).Standard deviation, variance, and mean deviation.Probability, addition, and multiplication theorems, Bayes’ theorem, and probability distribution of a random variable.
14.	Trigonometry	Trigonometric identities and functions.Inverse trigonometric functions and properties.

Aptitude Test Syllabus (Part – II)

Unit No.	Unit Title	Topics Covered
1.	Awareness of Persons, Buildings, Materials, Objects, and Textures	Awareness of architecture and built environment.Visualizing three-dimensional objects from two-dimensional drawings.Understanding different sides of three-dimensional objects.Analytical reasoning (Visual, Numerical, and Verbal).
2.	Three-Dimensional Perception	Understanding the scale and proportions of objects, building forms, and elements.Appreciation of color, texture, harmony, and contrast. Design and drawing of geometrical or abstract shapes/patterns in pencil.Transformation of 2D and 3D forms (union, subtraction, rotation).Generation of plans, elevations, and 3D views.Creating two-dimensional and three-dimensional compositions using given shapes and forms.

Planning Syllabus (Part – III)

Unit No.	Unit Title	Topics Covered
1	General Awareness	General knowledge questions.Knowledge about prominent cities.Development issues.Government programs and initiatives.

Planning Syllabus (Part – III)

Unit No.	Unit Title	Topics Covered
1.	Social Sciences	The idea of nationalism and its role in India.Nationalism in India.Pre-modern world and 19th-century global economy.Colonialism, colonial cities, and industrialization.Resources and development: types of resources (agriculture, water, mineral resources, industries).National economy and human settlements.Power-sharing, federalism, political parties, and democracy.Constitution of India.Economic development: economic sectors, globalization, development concepts, poverty. Population structure, social exclusion, inequality, urbanization, rural development, colonial cities.

Planning Syllabus (Part – III)

Unit No.	Unit Title	Topics Covered
3	Thinking Skills	Comprehension (unseen passage).Map reading skills: scale, distance, direction, area, etc.Critical reasoning.Understanding charts, graphs, and tables.Basic concepts of statistics and quantitative reasoning.

Conclusion

The Joint Entrance Examination is not just an academic challenge but a transformative journey. With its structured approach, SPM & Lalans Coaching has proven to be a reliable partner in this journey, guiding students toward their dreams of joining prestigious engineering institutes.

Success in JEE Mains demands discipline, perseverance, and the right guidance, and SPM & Lalan Coaching continues to set benchmarks in nurturing future engineers. By addressing individual needs and leveraging innovative teaching tools, SPM & Lalan Coaching ensures that every aspirant reaches their full potential.