JEE Main 2027 Mathematics Syllabus (Expected)
Unit-wise expected Mathematics syllabus for JEE Main 2027, projected from the JEE Main 2026 / latest official syllabus pattern. Each unit below lists its unit number, unit name and the topics it covers.
JEE Main 2027 syllabus has not been officially released by NTA yet. This is the
expected syllabus based on the JEE Main 2026 pattern. Please verify
against the official NTA notification once released.
Unit-wise Mathematics Syllabus
| Unit No. | Unit Name | Syllabus |
|---|---|---|
| 1 | Sets, Relations and Functions | Sets and how they are represented; union, intersection and complement of sets and their properties; power set; relations and their types, including equivalence relations; functions, covering one-one, into, onto types and composition of functions. |
| 2 | Complex Numbers and Quadratic Equations | Complex numbers as ordered pairs of reals and in the a + ib form, along with their plot on an Argand diagram; algebra of complex numbers, modulus and argument; quadratic equations over real and complex numbers, the relation between roots and coefficients, nature of roots, and forming equations from given roots. |
| 3 | Matrices and Determinants | Matrix algebra and types of matrices; determinants of order two and three and their evaluation; area of a triangle using determinants; adjoint and inverse of a square matrix; consistency checks and solving simultaneous linear equations using matrices. |
| 4 | Permutations and Combinations | The fundamental principle of counting; permutations and combinations, including the meaning of P(n, r) and C(n, r), with simple applications. |
| 5 | Binomial Theorem and Its Simple Applications | Binomial theorem for a positive integral index, including the general term, middle term and simple applications. |
| 6 | Sequence and Series | Arithmetic and geometric progressions; inserting arithmetic and geometric means between two given numbers; the relationship between A.M. and G.M. |
| 7 | Limit, Continuity and Differentiability | Algebra of real-valued functions including polynomial, rational, trigonometric, logarithmic, exponential and inverse functions, and their graphs; limits, continuity and differentiability; differentiating sums, products, quotients and composite/implicit functions up to second order; applications such as rate of change, monotonicity, and maxima/minima. |
| 8 | Integral Calculus | Integration as the reverse of differentiation; standard integrals of algebraic, trigonometric, exponential and logarithmic functions; integration by substitution, by parts, by partial fractions and using trigonometric identities; standard forms involving quadratics under a root or denominator; the fundamental theorem of calculus, definite integrals and finding areas bounded by simple curves. |
| 9 | Differential Equations | Ordinary differential equations, their order and degree; solving by separation of variables; solving homogeneous and linear first-order equations of the form dy/dx + p(x)y = q(x). |
| 10 | Co-ordinate Geometry | The Cartesian system, distance and section formulae, locus, slope, and parallel/perpendicular lines; straight lines including angle between lines, concurrency, distance of a point from a line, and triangle centres; circles and conic sections (parabola, ellipse, hyperbola) in standard form, including the equation of a circle given a diameter's endpoints. |
| 11 | Three Dimensional Geometry | Coordinates of a point in space and the distance between two points; section formula; direction ratios and direction cosines; angle between two lines; the equation of a line; skew lines and the shortest distance between them. |
| 12 | Vector Algebra | Vectors and scalars; addition of vectors; components of a vector in two and three dimensions; scalar and vector products. |
| 13 | Statistics and Probability | Measures of dispersion — mean, median, mode, standard deviation, variance and mean deviation for grouped and ungrouped data; probability of an event, addition and multiplication theorems, Bayes' theorem, and probability distribution of a random variable. |
| 14 | Trigonometry | Trigonometric identities and functions, and inverse trigonometric functions along with their properties. |