JEE Main 2026 Maths Syllabus - PDF Download

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JEE Main Mathematics Syllabus 2026

Unit-wise syllabus of mathematics of JEE Main is given in the table below

JEE Main Mathematics Syllabus Topics

Candidates applying for the Joint Eligibility-cum-Entrance Examination (JEE) may also consult the comprehensive list of the above-mentioned concepts.

Unit 1: Sets, Relations, and Functions

• Sets and representation of sets

• Union, intersection, and complement of sets and their algebraic properties.

• Powerset

• Relation, types of relations, equivalence relations.

• Functions: one-to-one, into and onto functions, and the compositions of functions.

Unit 2: Complex Numbers and Quadratic Equations

• Complex numbers as ordered pair of reals.

• Representation of complex numbers in the form (a+ib) and their representation in a plane, ana Argand diagram.

• Algebra of complex numbers, modulus and argument ( or amplitude) of a complex number, square root of a complex number.

• Triangle inequality

• Quadratic equations in the real and complex number systems and their solutions.

• The relation between roots and coefficients, the nature of roots, and the formation of quadratic equations with given roots.

Unit 3: Matrices and Determinants

• Matrix algebra of matrices, types of matrices, and matrices of order two and three.

• Determinants: properties of determinants, evaluation of determinants, and area of triangles using determinants.

• Adjoints and evaluations of the inverse of a square matrix using determinants and elementary transformations.

• Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

Unit: Permutations and Combinations

• The fundamental principle of counting.

• Permutation is an arrangement, and a combination is a selection.

• The meaning of P(n,r) and C(n,r), simple applications.

Unit 5: Mathematical Induction

• The principle of mathematical induction and its simple applications.

Unit 6  Binomial Theorem and itItsimple Applications

• Binomial theorem for a positive integral index.

• General term and middle term.

• Properties of binomial coefficients and simple applications.

Unit 7: Sequence and Series

• Arithmetic and geometric progressions, insertion of arithmetic and geometric means between two given numbers.

• The relation between the arithmetic mean and the geometric mean, summed up in terms of the special series: Sn, Sn2, etc.

Unit 8: Limit, Continuity, and Differentiability

• Real-valued functions, algebra of functions, polynomials, rational, trigonometric, and exponential functions, inverse functions.

• Graph of simple functions.

• Limits, continuity, and differentiability.

• Differentiation of the um, difference, product, and quotient of two functions.

• Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions; derivatives of order up to two.

• Rolle’s and Lagrange's mean value theorems.

• Applications of derivatives: rate of change of quantities, monotonic increasing and decreasing functions, maxima and minima of a function of one variable, tangents and normals.

Unit: Integral Calculus 

•  Integral as an antiderivative.

• Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions.

• Integration by substitution, by parts, and by partial functions.

• Integration using trigonometric identities.

• Integral as the limit of a sum.

• Fundamental theorem of calculus.

• Properties of definite integrals, evaluation of definite integrals, and determining areas of the regions bounded by simple curves in standard form.

Unit 10:  Differential Calculus

• Ordinary differential equations, their order and degree.

• Formation of differential equations.

• The solution of differential equations by the method of separation of variables.

• The solutionof aa homogeneouanddd linear differential equation

Unit 11: Coordinate Geometry

• Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

• Straight lines: various forms of equations of a line, intersection of lines, angles between two lines, condition for the concurrence of three lines.

• Distance of a point from a line, equation of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.

• Circles, conic sections: standard form of the equation of a circle, the general form of the equation of a circle, its radius and centre, equation of a circle when the endpoints of a diameter are given, points of a line and a circle with the centre at the origin, and condition for a line to be tangent to a circle, equation of the tangent.

• Sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, conditions for y = mx + c to be a tangent, and points of tangency.

Unit 12 Three-Dimensional Geometry

• Coordinates of a point in space, the distance between two points.

• Section formula, direction ratios, direction cosines, and the angle between two intersecting lines.

• Skew lines, the shortest distance between them, and their equation.

• Equations of a line and a plane in different forms, the intersection of a line and a plane, and coplanar lines.

Unit 13: Vector Algebra

• Vectors and scalars, the addition of vectors, and components of a vector in two and three-dimensional space.

• Scalar products, vector products, and vector triple product.

Unit 14: Statistics and Probability

• Measures of dispersion: calculation of mean, median, mode of grouped and ungrouped data, calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data.

• Probability: probability of an event, addition and multiplication theorem of probability, Bayes’theorem, probability distribution of a random variable, Bernoulli trials, and binomial distribution.

Unit 15: Trigonometry

•  Trigonometric identities and equations.

•  Trigonometric functions, inverse trigonometric functions, and their properties.

• Height and distance

Unit 16: Mathematical Reasoning

• Statements and logical operations: or, and, implies, implied by, if and only if, understanding of tautology, contradiction, converse, and contrapositive.

JEE Mains 2023 weightage for Mathematics (Topic-wise)

Table of JEE Mains 2023 weightage for Mathematics (Topic-wise) given below

Best Books to Completely Cover JEE Main Maths Syllabus

Every JEE Main aspirant during JEE Main preparation often comes across the question,“ Which is the best book for JEE Main mathematics?” Since the mathematics paper is quite lengthy and includes comprehensive problems hence considered the toughest of all subjects. JEEmain mathematics preparation requires a lot of practice with relevant questions and a deep understanding of concepts. Aspirants can refer to the best books for JEE Main Mathematics to get a deep knowledge of the subject.

Table of Best Books of JEE Main Mathematics given below:

Practice these high-priority chapters using chapter-wise JEE Main previous year question papers with solutions available on eSaral. 

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