JEE Advanced Mathematics Syllabus: Download PDF, High-Weightage Topics, Best Books

JEE Advanced Mathematics syllabus includes topics such as algebra, trigonometry, analytical geometry, matrices, probability, etc. The JEE Advanced syllabus 2026 is yet to be released by the conducting authorities.

The syllabus is expected to have some minor changes in terms of chapters covered, marking scheme, important topics, etc. The official JEE Advanced information brochure 2026 will have information regarding the JEE Advanced Mathematics syllabus 2026. In this article, we will cover the preparation tips for JEE Advanced mathematics, best books, important topics and weightage.

JEE Advanced Mathematics Syllabus 2026: Download PDF

The JEE Advanced Mathematics syllabus will be released in the official website along with the information brochure. The table below will be updated with the direct link to download the JEE Advanced Mathematics syllabus 2026 once released:

JEE Advanced Mathematics Syllabus 2026

To be Updated

Chapter-Wise JEE Advanced Mathematics Syllabus

The syllabus for JEE Advanced Mathematics 2026 includes chapters such as Differential Calculus, Trigonometry, Algebra, Matrices, Sets and Functions, etc. The official JEE Advanced syllabus 2026 is not out yet; however, students can refer to the previous year JEE Advanced syllabus to get an insight into the topics covered under each chapter:

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 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, 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, 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, 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.
• 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 withthe 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, 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, 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, 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 as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals as the limit of sums, definite integral and their properties, 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

JEE Advanced Syllabus 2026 Chapter-Wise Weightage 

The JEE Advances syllabus for Mathematics 2026 covers topics from class 11 and 12 NCERT books out of which 68% of the questions will be based on the class 12 topics. Here is the JEE Advanced Mathematics syllabus chapter-wise weightage:

Unit	Weightage
Differential Calculus	~8%
Integral Calculus	~19%
Matrices and Determinants	~8%
Probability	~14%
Trigonometry	~7%
Vectors & 3D Geometry	~11%
Complex Numbers	~9%
Coordinate Geometry	~9%
Trigonometry (Class 11)	~5%
Sequence & Series	~3%
Binomial Theorem	~3%
Statistics	~3%

JEE Advanced Preparation Tips for Mathematics Syllabus

If you are appearing for the JEE Advanced 2026 exam, it is important to have a preparation strategy for each subject to perform well in the exam. Given below are some of the important pointers on how to prepare for the JEE Advanced 2026 exam:

• Understand the syllabus: Unlike JEE Main, this exam focuses on concepts even in the mathematics section, and hence understanding the depth of the syllabus is more important than covering the entire syllabus
• Focus on High-Weightage Topics: Note down the high weightage topics, such as Vectors, Calculus, Geometry, et,c and prioritize them during your preparation
• Know the Exam Pattern: A deep understanding of the exam pattern will help you know the marking scheme and prepare accordingly
• Revision Tricks: Revise graph transformations, standard derivatives, integrals, and properties of conics repeatedly.

Conclusion

The JEE Advanced Mathematics Syllabus 2026 is designed to test a student’s conceptual depth, analytical reasoning, and ability to integrate multiple mathematical ideas into problem-solving. 

While the official syllabus is yet to be released, it is expected to remain closely aligned with previous years covering key areas such as Algebra, Calculus, Coordinate Geometry, Vectors, Trigonometry, and Probability.