SYLLABUS

 Syllabus :

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ISC:

JEE MAIN SYLLABUS FOR 2026

Chapter Name	SubTopics
Sets, Relations and Functions	Sets and their representation: Union, intersection Complement of sets and their algebraic properties; Power set Relation, Type of relations, equivalence relations Functions: one-one, into and onto functions, the composition of functions
Complex Numbers 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 number, modulus, and argument (or amplitude) of a complex number Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient Nature of roots, the formation of quadratic equations with given roots
Matrices And Determinants	Matrices, Algebra of matrices, type of matrices Determinants and matrices of order two and three, evaluation of determinants, area of triangles using determinants Adjoint, and evaluation of inverse of a square matrix using determinants Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
Permutations and Combinations	The fundamental principle of counting Permutation as an arrangement and combination as section Meaning of P (n, r) and C (n, r), simple applications
Binomial Theorem and Its Simple Applications	Binomial theorem for a positive integral index General term and middle term, and simple applications
Sequence and Series	Arithmetic and Geometric progressions Insertion of arithmetic, geometric means between two given numbers  Relation between A.M and G.M
Limit Continuity Differentiability	Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions; Inverse function. 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 up to two. Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima, and minima of functions of one variable.
Integral Calculus	Integral as an antiderivative, Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions.  Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.  Evaluation of simple integrals of the type  $\frac{dx}{x^2+a^2}$ , $\frac{dx}{\sqrt{x^2\pm a^2}}$, $\frac{dx}{a^2-x^2}$, $\frac{dx}{\sqrt{a^2-x^2}}$, $\frac{dx}{a{x}^2+bx+c}$ , $\frac{dx}{\sqrt{a{x}^2+bx+c}}$, $\frac{(px+q)dx}{a{x}^2+bx+c}$, $\frac{(px+q)dx}{\sqrt{a{x}^2+bx+c}}$ , ± , $\sqrt{x^2-a^2}dx$ The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
Differential Equations	Ordinary differential equations, their order, and degree The solution of differential equation by the method of separation of variables Solution of a homogeneous and linear differential equation of the type dydx+p(x)y=q(x)
Co-Ordinate Geometry	Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis. Straight line - Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, Coordinate of the centroid, orthocentre, and circumcentre of a triangle. Circle, Conic Sections - A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints 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
Three Dimensional Geometry	Coordinates of a point in space, the distance between two points, section formula, Directions ratios, and direction cosines, and the angle between two intersecting lines. Equation of a line, Skew lines, the shortest distance between them, and its equation.
Vector Algebra	Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, Scalar, and vector products.
Statistics 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 variable.
Trigonometry	Trigonometric identities and trigonometric functions Inverse trigonometric functions, and their properties