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JEE Advanced Maths Syllabus 2025: IIT Guwahati has released the JEE Advanced 2025 Math syllabus along with the information brochure on the official website. JEE Advanced Maths syllabus consists of seven units, namely Sets, Relations and Functions, Algebra, Matrices, Probability and Statistics, Trigonometry, Analytical Geometry, Differential Calculus, Integral Calculus, and Vectors.
Among all subjects, candidates find the JEE Advanced Math section extremely tough and time-consuming. Therefore, it is crucial for candidates to practice a lot and cover all the important topics. Continue reading the article to access the topic-wise JEE Advanced Maths syllabus and other important details.
Candidates can check the JEE Advanced Maths syllabus from the table below:
| Chapter | Topics |
|---|---|
| Sets, Relations and Functions | Sets and their representations, different kinds of sets (empty, finite and infinite), algebra of sets, intersection, complement, difference and symmetric difference of sets and their algebraic properties, De-Morgan’s laws on the union, intersection, the difference (for a finite number of sets) and practical problems based on them. Cartesian product of finite sets, ordered pair, relations, domain and codomain of relations, equivalence relation Function as a special case of relation functions as mappings, domain, codomain, range of functions, invertible functions, even and odd functions, into, onto and one-to-one functions, special functions (polynomial, trigonometric, exponential, logarithmic, power, absolute value, greatest integer etc.), sum, difference, product and composition of functions. |
| Algebra | Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations. Statement of the fundamental theorem of algebra, Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots. Arithmetic and geometric progressions, arithmetic and geometric means, sums of finite arithmetic and geometric progressions, infinite geometric series, the sum of the first n natural numbers, sums of squares and cubes of the first n natural numbers. Logarithms and their properties, permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients. |
| Matrices | Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, elementary row and column transformations, determinant of a square matrix of order up to three, adjoint of a matrix, the inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables. |
| Probability and Statistics | Random experiment, sample space, different types of events (impossible, simple, compound), addition and multiplication rules of probability, conditional probability, independence of events, total probability, Bayes Theorem, computation of probability of events using permutations and combinations. The measure of central tendency and dispersion, mean, median, mode, mean deviation, standard deviation and variance of grouped and ungrouped data, analysis of the frequency distribution with the same mean but different variance, random variable, mean and variance of the random variable. |
| Trigonometry | Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, and general solution of trigonometric equations. Inverse trigonometric functions (principal value only) and their elementary properties. |
| Analytical Geometry | Two dimensions: Cartesian coordinates, the distance between two points, section formulae, and shift of origin. Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle. Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, the intersection of a circle with a straight line or a circle, the equation of a circle through the points of intersection of two circles and those of a circle and a straight line. Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus problems. Three dimensions: Distance between two points, direction cosines and direction ratios, equation of a straight line in space, skew lines, the shortest distance between two lines, equation of a plane, a distance of a point from a plane, the angle between two lines, the angle between two planes, the angle between a line and the plane, coplanar lines. |
| Differential Calculus | Limit of a function at a real number, continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions. Continuity of composite functions, the intermediate value property of continuous functions. Derivative of a function, a derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions. Tangents and normals, increasing and decreasing functions, derivatives of order two, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem, geometric interpretation of the two theorems, derivatives up to order two of implicit functions, and geometric interpretation of derivatives. |
| Integral Calculus | Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals as the limit of sums, definite integrals and their properties, and the fundamental theorem of integral calculus. Integration by parts, integration by the methods of substitution and partial fractions, and application of definite integrals to the determination of areas bounded by simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations of the first order and first degree, separation of variables method, linear first-order differential equations. |
| Vectors | Addition of vectors, scalar multiplication, dot and cross products, scalar and vector triple products, and their geometrical interpretations. |
At Embibe, aspirants can access a vast array of JEE Advanced mock exams created by subject-matter specialists. All mock tests are aligned with the latest exam pattern and cover all important topics that candidates need to practice. Use the steps below to register and start taking practice exams right away!
Refer to the table below for the marks-wise weightage of topics in the JEE Advanced Maths syllabus 2025:
| Important Topic | Weightage |
|---|---|
| 3D Geometry | 20-21% |
| Application of Derivatives | 19-20% |
| Theory of Equations | 9-10% |
| Area of Bounded Regions | 6-7% |
| Definite Integrals | 13-14% |
| Differential Equations | 4-5% |
| Limits and Continuity | 6-7% |
| Matrices | 4-5% |
| Probability | 4-5% |
| Sets, Relations and Functions | 4-5% |
| Trigonometry | 6-7% |
The important topics for JEE Advanced Mathematics 2025 are given here in the table below:
Here are the best books that all aspirants must acquire to ace the exams. However, besides the given books, NCERT books are imperative for preparations:
Quick links,
| JEE Advanced Syllabus | JEE Advanced Application Form |
| JEE Advanced Preparation Tips | JEE Advanced Admit Card |
Here are the frequently asked questions regarding the syllabus for JEE Advanced exam:
Ans: IIT Guwahati has released the JEE Advanced 2025 syllabus on the official website.
Ans: The JEE Advanced examination will be conducted online.
Ans: Candidates can access the JEE Advanced 2025 syllabus from the official website- jeeadv.ac.in.
Ans. Some of the best books for JEE Advanced Maths exam preparations include the following: NCERT, R.D. Sharma Class 11 and 12 (Subjective) for basics, Subjective set of Arihant publications written by Amit Aggarwal and S K Goyal, Previous year JEE Advanced book by Arihant publication and Calculus – Problems in Calculus of One Variable by I.A. Maron.
Ans: IIT Guwahati will conduct the JEE Advanced 2025 exam on June 2025.
We hope this article on JEE Advanced Maths Syllabus helps you. Embibe wishes you good luck and all the best for JEE Advanced.
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