JEE Main Maths Syllabus for 2026 & 2027 | Mathematics or Maths constitutes one-third of the JEE Main paper. You need to thoroughly prepare the entire JEE Main Maths syllabus to achieve a good score in JEE Main. This syllabus of JEE Main Maths will be applicable to both the January and April attempts for 2026 and 2027.
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JEE Main Maths Syllabus
JEE Main Mathematics Syllabus is divided into 14 units. Each of the units contains sub-topics based on Maths concepts. You need to prepare all these topics thoroughly to score top marks in JEE Main exam.
The mathematics section of the JEE Main exam assesses your numerical solving skills. The syllabus for the Mathematics section of JEE Main is given below.
UNIT 1: Sets, Relations and Functions
Sets and their representation; Union, intersection and complement of sets and their algebraic properties; power set; Relation, Types of relations, equivalence relations, functions; one-one, into and onto functions, composition of functions.
UNIT 2: Complex Numbers and Quadratic Equations
Complex numbers as ordered pairs of reals, representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, quadratic equations in real and complex number system and their solutions. relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots.
UNIT 3: Matrices and Determinants
Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Evaluation of determinants, area of triangles using determinants. adjoint and inverse of a square matrix; test of consistency and solution of simultaneous linear equations in two or three variables using matrices.
UNIT 4: Permutations and Combinations
The fundamental principle of counting, permutation and combination, meaning of P (n, r) and C (n, r), simple applications.
UNIT 5: Binomial Theorem and its Simple Applications
Binomial theorem for a positive integral index, general term and middle term, and simple applications.
UNIT 6: Sequence and Series
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M.
UNIT 7: Limit, Continuity and Differentiability
Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions, maxima and minima of functions of one variable.
UNIT 8: Integral Calculus
Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type
Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
UNIT 9: Differential Equations
Ordinary differential equations, their order and degree. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type:
UNIT 10: Co-ordinate Geometry
Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis.
Straight lines:
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, coordinates of centroid, orthocentre and circumcentre of a triangle.
Circles, conic sections:
Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms.
UNIT 11: Three Dimensional Geometry
Coordinates of a point in space, distance between two points, section formula. direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line.
UNIT 12: Vector Algebra
Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products.
UNIT 13: 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 theorems of probability, Baye’s theorem, probability distribution of a random variate.
UNIT 14: Trigonometry
Trigonometrical identities and trigonometrical functions. Inverse trigonometrical functions and their properties.
JEE Main Mathematics – Important Topics
Questions from the Mathematics section are very predictable. There is a fairly even distribution of marks across chapters in the JEE Main exam. While it takes more time to solve the questions based on the Mathematics syllabus, you need to have clarity of concepts to score well in this section.
JEE Main Mathematics syllabus can be easily completed by clearing the concepts and practicing the JEE Main level questions and taking the tests. You might need to dedicate more time to build advanced test-taking skills for solving maths questions. You can do this by preparing the important JEE Main mathematics topics.
Read the complete syllabus for JEE Main in the links below: