The JEE Advanced Mathematics Syllabus 2026 is the definitive reference for every student aspiring to secure admission to the Indian Institutes of Technology (IITs). JEE Advanced is widely regarded as one of the most challenging engineering entrance examinations in the world, and Mathematics is often the most decisive subject in determining a candidate's overall rank.

As officially confirmed by the conducting IIT, the JEE Advanced 2026 syllabus remains the same as JEE Advanced 2025. This page provides the complete and accurate Mathematics syllabus exactly as prescribed, covering all 9 official sections with every topic listed in detail, along with section-wise weightage analysis, expert preparation tips, and a free downloadable PDF.

JEE Advanced Mathematics 2026 - At a Glance

JEE Advanced vs JEE Main Mathematics Syllabus - Key Differences

JEE Advanced Mathematics is significantly more advanced than JEE Main in both scope and depth. Several important topics are present in JEE Advanced that are not part of the JEE Main syllabus at all:

•        De-Morgan's laws and symmetric difference of sets (Sets, Relations and Functions)

•        Geometric interpretations of complex numbers and cube roots of unity (Algebra)

•        Sums of squares and cubes of first n natural numbers (Algebra)

•        Logarithms and their properties as a separate topic (Algebra)

•        L'Hospital's rule for evaluation of limits (Differential Calculus)

•        Intermediate value property of continuous functions (Differential Calculus)

•        Equations of tangent and normal to conics (Analytical Geometry)

•        Parametric equations of circles and conics (Analytical Geometry)

•        Angle between two planes, angle between a line and plane, coplanar lines (3D Geometry)

•        Scalar and vector triple products (Vectors)

•        Geometric interpretations of vector products (Vectors)

•        Forced and damped oscillations concepts applied in problems

JEE Advanced Mathematics Detailed Syllabus 2026

The following is the complete JEE Advanced Mathematics syllabus for 2026 as officially prescribed, covering 9 sections:

1. 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, difference (for 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

2. 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 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

•        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

3. 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 matrix operations

•        Diagonal, symmetric and skew-symmetric matrices and their properties

•        Solutions of simultaneous linear equations in two or three variables

4. 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

•        Measure of central tendency and dispersion: mean, median, mode, mean deviation, standard deviation and variance of grouped and ungrouped data

•        Analysis of frequency distribution with same mean but different variance

•        Random variable, mean and variance of the random variable

5. 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

6. 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, intersection of a circle with a straight line or a circle

•        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 of conics, equations of tangent and normal to conics

•        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

7. 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's 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

8. 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

•        Fundamental theorem of integral calculus

•        Integration by parts, integration by the methods of substitution and partial fractions

•        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

9. Vectors

•        Addition of vectors, scalar multiplication

•        Dot and cross products

•        Scalar and vector triple products

•        Geometrical interpretations of vector operations

JEE Advanced Mathematics Section-Wise Weightage 2026

Based on analysis of JEE Advanced question papers from 2019 to 2025, here is the approximate section-wise weightage for Mathematics:

How to Prepare Mathematics for JEE Advanced 2026 - Expert Tips

1. Treat JEE Advanced as a Completely Different Exam from JEE Main

JEE Advanced Mathematics is substantially harder than JEE Main. Questions test deep conceptual understanding, multi-step reasoning, and the ability to connect topics across sections. Simply revising JEE Main level problems is not sufficient. You must solve problems that require combining concepts from Calculus, Algebra, and Geometry simultaneously.

2. Master Calculus as the Top Priority

Differential Calculus and Integral Calculus together contribute approximately 30 to 36 percent of the Mathematics marks in JEE Advanced. Topics like L'Hospital's rule, intermediate value property, area under curves, differential equations, and integration by partial fractions require extensive practice. Solve a variety of problem types including those requiring geometric interpretation of derivatives.

3. Build Deep Strength in Analytical Geometry

Analytical Geometry is consistently the highest-weightage section in JEE Advanced Mathematics, covering both 2D and 3D topics. The 3D Geometry portion in JEE Advanced is significantly more advanced than JEE Main, covering angle between planes, angle between a line and a plane, and coplanar lines. Practise parametric equations of conics and tangent-normal problems extensively.

4. Do Not Underestimate Algebra and Matrices

The Algebra section in JEE Advanced is broader than JEE Main, covering logarithm properties, sums of squares and cubes, and geometric interpretations of complex numbers. Matrices questions in JEE Advanced often require combining determinant properties with system of equations. Practice problems that test properties of matrix operations in depth.

5. Vectors and 3D Geometry Go Hand in Hand

Scalar and vector triple products and their geometric interpretations are exclusive to JEE Advanced. These topics connect directly with 3D Geometry (coplanar lines, shortest distance between lines, angle between planes). Study Vectors and 3D Geometry together as an integrated unit rather than separately.

6. Solve Previous Year JEE Advanced Papers Under Exam Conditions

Solving JEE Advanced previous year Mathematics papers from 2015 to 2025 under timed exam conditions is essential. JEE Advanced has multiple question formats including MSQ (multiple correct answers) and Numerical Answer Type questions. Getting familiar with the exact format of each paper is critical for time management and avoiding negative marking.

Conclusion

The JEE Advanced Mathematics Syllabus 2026 covers 9 sections, ranging from Sets, Relations and Functions through to Vectors, with Analytical Geometry, Differential Calculus, and Integral Calculus being the most heavily tested areas. The syllabus is officially confirmed to be the same as JEE Advanced 2025.

Download the free PDF of the JEE Advanced Mathematics Syllabus 2026 using the link below. Use it to systematically track your preparation across all 9 sections and ensure no topic is left uncovered. Start with your weak sections first, build conceptual depth before attempting advanced problems, and revise regularly through previous year papers.

Frequently Asked Questions - JEE Advanced Mathematics Syllabus 2026

Q1. Is the JEE Advanced Mathematics Syllabus 2026 different from 2025?

No. As officially confirmed by the conducting IIT, the JEE Advanced 2026 syllabus remains exactly the same as JEE Advanced 2025. Students can prepare using the same official syllabus document without any concern about changes.

Q2. How many sections are there in JEE Advanced Mathematics Syllabus 2026?

The JEE Advanced Mathematics Syllabus 2026 consists of 9 sections: Sets, Relations and Functions; Algebra; Matrices; Probability and Statistics; Trigonometry; Analytical Geometry; Differential Calculus; Integral Calculus; and Vectors.

Q3. What topics are in JEE Advanced Mathematics but not in JEE Main?

Several important topics are in JEE Advanced but not in JEE Main Mathematics. These include De-Morgan's laws, symmetric difference of sets, geometric interpretations of complex numbers, sums of squares and cubes, logarithm properties, L'Hospital's rule, intermediate value property of continuous functions, parametric equations of conics, equations of tangent and normal to conics, angle between two planes, angle between a line and a plane, coplanar lines, and scalar and vector triple products with their geometric interpretations.

Q4. Which section carries the most marks in JEE Advanced Mathematics?

Analytical Geometry is consistently the highest-weightage section, contributing approximately 18 to 22 percent of Mathematics marks. Differential Calculus and Integral Calculus each contribute approximately 15 to 18 percent. Together these three sections account for nearly 50 to 58 percent of the total Mathematics marks.

Q5. What is the exam pattern for Mathematics in JEE Advanced 2026?

JEE Advanced Mathematics is tested across Paper 1 and Paper 2. Each paper contains different question types including single correct MCQ, multiple correct MCQ (MSQ), and Numerical Answer Type (integer or decimal). MSQ questions carry partial marks. Negative marking applies to some question types. Candidates must check the official JEE Advanced 2026 information brochure at jeeadv.ac.in for the exact paper pattern.

Q6. How is JEE Advanced Mathematics different from JEE Main Mathematics in difficulty?

JEE Advanced Mathematics is significantly more challenging than JEE Main in both conceptual depth and problem complexity. Questions frequently require combining multiple concepts from different sections. Problems are longer, multi-step, and designed to test analytical thinking rather than formula recall. The presence of MSQ questions (with multiple correct answers) and Numerical Answer Type questions adds to the complexity. A student who has scored well in JEE Main Mathematics should expect a substantial jump in difficulty at JEE Advanced.