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JEE Advanced · Mathematics

JEE Advanced Mathematics Syllabus 2026-2027

Complete official syllabus for JEE Advanced Mathematics with data-backed unit weightage, Class 11 vs Class 12 split, and links to practice on Fundamenthol.

Last updated: 2026-08-05T00:00:00+05:30

At a Glance
25
Total topics
96
Total concepts
Top 3 Highest-Weightage Topics
  1. Probability7.81%
  2. Limits, Continuity And Differentiability7.56%
  3. Integrals7.30%

Based on JEE Advanced Mathematics previous year questions tagged on Fundamenthol.

Class 11 vs Class 12 Weightage Split
Class 11
34.8%
Class 12
63.2%
Jump to topic
Sets, Relations and FunctionsAlgebraMatricesProbability and StatisticsTrigonometryAnalytical GeometryDifferential CalculusIntegral CalculusVectors

Topic-wise Syllabus & Weightage

Unit 1

Sets, Relations and Functions

6.30% weightage
Practice this topic
→FunctionsClass 124.03%→Sets, Relations And Number SystemClass 112.27%
Concepts (10)
  • Sets, kinds (empty, finite, infinite)
  • Algebra of sets: intersection, complement, difference, symmetric difference
  • De Morgan's laws
  • Cartesian product, ordered pair, relations
  • Domain, codomain, equivalence relation
  • Functions as special case of relations, mappings
  • Domain, codomain, range
  • Invertible, even, odd, into, onto, one-to-one functions
  • Special functions (polynomial, trigonometric, exponential, logarithmic, power, absolute value, greatest integer)
  • Sum, difference, product, composition of functions
Unit 2

Algebra

16.12% weightage
Practice this topic
→Complex NumbersClass 114.79%→Permutations And CombinationsClass 113.78%→Sequences And SeriesClass 113.27%→Quadratic EquationsClass 112.52%→Binomial Theorem and Its Simple ApplicationsClass 111.76%
Concepts (14)
  • Complex numbers: addition, multiplication, conjugation, polar representation
  • Properties of modulus and principal argument, triangle inequality
  • Cube roots of unity, geometric interpretations
  • Fundamental theorem of algebra
  • Quadratic equations with real coefficients
  • Relations between roots and coefficients
  • Symmetric functions of roots
  • Arithmetic and geometric progressions
  • AM, GM, sums of finite AP/GP, infinite geometric series
  • Sum of first n natural numbers, sums of squares and cubes
  • Logarithms and properties
  • Permutations and combinations
  • Binomial theorem for positive integral index
  • Properties of binomial coefficients
Unit 3

Matrices

8.06% weightage
Practice this topic
→MatricesClass 125.29%→DeterminantsClass 122.77%
Concepts (9)
  • Matrices as rectangular arrays
  • Equality, addition, scalar multiplication, product
  • Transpose
  • Elementary row and column transformations
  • Determinant (order up to 3)
  • Adjoint, inverse (order up to 3)
  • Properties of matrix operations
  • Diagonal, symmetric, skew-symmetric matrices
  • Solution of simultaneous linear equations (2 or 3 variables)
Unit 4

Probability and Statistics

8.57% weightage
Practice this topic
→ProbabilityClass 127.81%→StatisticsClass 110.76%
Concepts (10)
  • Random experiment, sample space
  • Types of events (impossible, simple, compound)
  • Addition and multiplication rules
  • Conditional probability, independence
  • Total probability, Bayes' theorem
  • Probability using permutations and combinations
  • Measures of central tendency and dispersion
  • Mean, median, mode, mean deviation, SD, variance
  • Frequency distribution analysis
  • Random variable, mean and variance of random variable
Unit 6

Analytical Geometry

17.38% weightage
Practice this topic
→Three Dimensional GeometryClass 125.29%→ParabolaClass 114.28%→CirclesClass 113.53%→EllipseClass 112.77%→HyperbolaClass 111.26%→Straight LinesClass 110.25%
Concepts (19)
  • Cartesian coordinates, distance between points
  • Section formulae, shift of origin
  • Straight line in various forms, angle between lines, distance from point to line
  • Lines through point of intersection
  • Angle bisector, concurrency
  • Centroid, orthocentre, incentre, circumcentre
  • Circle: various forms, tangent, normal, chord, parametric equations
  • Intersection of circle with line/circle
  • Circle through points of intersection
  • Parabola, ellipse, hyperbola in standard form
  • Foci, directrices, eccentricity, parametric equations
  • Tangent and normal
  • Locus problems
  • Distance between points
  • Direction cosines and direction ratios
  • Equation of straight line in space, skew lines, shortest distance
  • Equation of plane, distance from point to plane
  • Angle between lines, planes, line and plane
  • Coplanar lines
Unit 7

Differential Calculus

13.86% weightage
Practice this topic
→Limits, Continuity And DifferentiabilityClass 127.56%→Application Of DerivativesClass 126.30%
Concepts (13)
  • Limit of function at a real number
  • Continuity, limit and continuity of sum/difference/product/quotient
  • L'Hospital's rule
  • Continuity of composite functions, intermediate value property
  • Derivative, sum/difference/product/quotient
  • Chain rule
  • Derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential, logarithmic functions
  • Tangents and normals
  • Increasing and decreasing functions
  • Second-order derivatives
  • Maximum and minimum values
  • Rolle's theorem and Lagrange's mean value theorem (with geometric interpretation)
  • Derivatives up to order two of implicit functions
Unit 8

Integral Calculus

15.62% weightage
Practice this topic
→IntegralsClass 127.30%→Differential EquationsClass 124.79%→Application Of IntegralsClass 123.53%
Concepts (11)
  • Integration as inverse of differentiation
  • Indefinite integrals of standard functions
  • Definite integrals as limit of sums
  • Properties of definite integrals
  • Fundamental theorem of integral calculus
  • Integration by parts, substitution, partial fractions
  • Areas bounded by simple curves
  • Formation of ODEs
  • Solution of homogeneous ODEs (first order, first degree)
  • Separation of variables
  • Linear first-order differential equations
Unit 9

Vectors

5.29% weightage
Practice this topic
→Vector AlgebraClass 125.29%
Concepts (4)
  • Addition, scalar multiplication
  • Dot and cross products
  • Scalar and vector triple products
  • Geometrical interpretations

Frequently Asked Questions

Is the JEE Advanced 2027 syllabus the same as 2026?

The JEE Advanced 2026 syllabus is identical to 2025. The organising IIT typically retains the syllabus year-on-year unless a formal revision is announced. The 2027 syllabus is expected to remain the same, and this page will update if there are changes.

Is JEE Advanced syllabus larger than JEE Main?

JEE Advanced covers roughly the same NCERT topics as JEE Main but goes deeper. Some Advanced-only topics include Solid State, Surface Chemistry, and Polymers in Chemistry, plus more advanced problems in Physics and Maths overall.

Who conducts JEE Advanced?

JEE Advanced is conducted by one of the seven zonal IITs on a rotating basis under the guidance of the Joint Admission Board. IIT Bombay, IIT Delhi, IIT Kanpur, IIT Kharagpur, IIT Madras, IIT Roorkee, and IIT Guwahati take turns.