After clearing JEE Main, the next big goal for every IIT aspirant is the JEE Advanced. Even though both exams look similar at first, the level of JEE Advanced rises sharply, and therefore, you need stronger fundamentals, deeper problem-solving skills, and more focused preparation. The JEE Advanced Maths Syllabus plays a major role in shaping your rank because Maths demands accuracy, speed, and clarity in concepts.
Moreover, the Mathematics section of JEE Advanced is completely concept-driven. So, memorizing formulas will not take you far. So, you must have to understand the logic behind each formula, theorem, and method. Keeping this in mind, here is a clear, complete, chapter-wise breakdown of the JEE Advanced Maths Syllabus, which will help you to plan your preparation effectively.
Analysis of JEE Advanced 2026 Maths Syllabus
We have given out expert analysis of the syllabus released by IIT Kanpur for 2026. The math portion stays the same across the country and includes nine major chapters from the Class 11 and Class 12 NCERT syllabus. These chapters form the basis of the JEE Advanced Maths Syllabus, and each portion requires a deep conceptual understanding rather than memorization. For a complete subject-wise overview, students can also check the officially released JEE Advanced syllabus 2026 to align their preparation strategy.
| JEE Advanced Maths Chapters | Subtopics |
| 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 union, intersection, and 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, greatest integer, etc.), and 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, and symmetric functions of roots. Arithmetic and geometric progressions, arithmetic and geometric means, sums of finite arithmetic and geometric progressions, infinite geometric series, sum of the first n natural numbers, and 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, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric, and skew-symmetric matrices and their properties, and 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 the probability of events using permutations and combinations. Measures 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; and 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, general solution of trigonometric equations. Inverse trigonometric functions (principal value only) and their elementary properties. |
| Analytical Geometry | Two dimensions: Cartesian coordinates, distance between two points, section formulae, 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; and 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, shortest distance between two lines, equation of a plane, distance of a point from a plane, angle between two lines, angle between two planes, 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, intermediate value property of continuous functions. Derivative of a function; 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, geometric interpretation of derivatives |
| Integral Calculus | Integration is the inverse process of differentiation, indefinite integrals of standard functions, definite integrals as the limit of sums, definite integral and their properties, 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 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. |
Difference Between JEE Advanced and JEE Main Maths Syllabus 2026
As the both exams test the same subjects, the JEE Advanced Maths Syllabus stays more compact and concept-driven. JEE Main includes extra topics that do not appear in JEE Advanced. Students should also keep track of other subjects, especially Physics, by reviewing the JEE Advanced Physics syllabus 2026 alongside Mathematics.
Topics in JEE Main but NOT in JEE Advanced:
- Firstly, the complex numbers and quadratic equations, which are the extra parts.
- Second, the Determinants
- Third, the Permutations and combinations
- The Full binomial theorem applications
- The Sequence and series (some parts)
- Moreover, the Limit, continuity, differentiability (extra sections)
- Lastly, the Higher-level integral calculus
Hence, the Students must compare both the syllabus and prepare accordingly as the JEE Advanced focuses more on conceptual depth and multi-chapter problem-solving.
JEE Advanced Maths Syllabus PDF
As many students ask for the PDF so here is the direct link where students will get the access of the official syllabus
Students starting early can strengthen their fundamentals through a structured approach offered in the JEE Fresher Course, designed for Class 11 aspirants.
Conclusion
The JEE Advanced Maths Syllabus demands a strong command over concepts, careful practice, and the ability to apply ideas across multiple chapters. Since the level of the exam rises far beyond JEE Main, so you must build a deep understanding of theory and then strengthen it with tricky and mixed-concept problems. With a clear understanding of the syllabus, consistent revision, and smart practice, you can improve your accuracy, boost your confidence, and secure a good rank in JEE Advanced.
For expert guidance, study resources, and exam updates, aspirants can visit SPM & Lalan’s official website.
FAQs
1. Is there any update or change in the Mathematics syllabus for JEE Advanced 2026?
No major changes are expected. The syllabus typically remains the same each year, with minor adjustments if needed.
2. What are the main topics included in the JEE Advanced Maths Syllabus 2026?
There are nine major chapters such as Algebra, Calculus, Vectors, Trigonometry, Analytical Geometry, Matrices, Probability and Statistics, Sets, and Relations.
3. Is the JEE Advanced syllabus different from JEE Main?
Yes, the JEE Advanced syllabus is more compact and conceptual, focusing on advanced topics, while JEE Main includes additional topics to cover a broader range of concepts.
4. Is the JEE Advanced Mathematics syllabus going to be released in PDF format?
Yes, the official conducting IIT always releases the complete syllabus in a downloadable PDF format for students’ reference.
5. What is the expected date for the JEE Advanced 2026 examination?
JEE Advanced 2026 is typically held in late May or early June, depending on the official schedule announced by the authorities.
