JEE Main Mathematics Syllabus 2026– All 16 Chapters, Topic Breakdown & Weightage

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What is the JEE Main Mathematics Syllabus?

JEE Main is conducted by the National Testing Agency (NTA) as the gateway to NITs, IIITs, and other centrally funded technical institutes. Mathematics is one of three papers, carrying 100 marks (20 MCQs + 10 numerical-answer questions), and it is often the subject that separates close ranks in the final merit list.

The syllabus is built on Class 11 and Class 12 NCERT Mathematics. This means your board preparation and your JEE preparation overlap heavily; a fact that experienced teachers use to their advantage. If you have not already worked through your NCERT textbooks chapter by chapter, that is the single best place to start. You can find solved examples and exercises in the NCERT Solutions for Class 11 Maths and NCERT Solutions for Class 12 Maths to build your foundation before moving to JEE-level problems.

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The 16 chapters are grouped under 5 broad units:

• Algebra (Chapters 1–7 and 13, 14, 16)
• Calculus (Chapters 8–10)
• Coordinate Geometry (Chapter 11)
• 3D Geometry & Vectors (Chapters 12–13)
• Trigonometry (Chapter 15)

Which Chapters Are Most Important in JEE Main Maths?

Not all chapters carry equal weight in the actual exam. Based on previous years' NTA question papers, here is a chapter-wise weightage and difficulty breakdown to help you plan your time:

Students who follow this priority-based approach consistently outperform those who study all chapters with equal effort. In eSaral's 2025 JEE batch, students who spent at least 60% of their Maths practice time on Calculus and Coordinate Geometry improved their Maths percentile by an average of 12 points in the final attempt compared to their first mock test scores.

Chapter-Wise Syllabus – All 16 Chapters in Detail

Unit 1: Algebra

Chapter 1 – Sets, Relations, and Functions

• Sets and their representation
• Union, intersection, and complement of sets and their algebraic properties
• Power set
• Types of relations: equivalence relations
• Functions: one-to-one, into and onto functions; composition of functions

Chapter 2 – Complex Numbers & Quadratic Equations

• Complex numbers as ordered pairs of reals; Argand diagram
• Algebra of complex numbers: modulus, argument, and square root
• Triangle inequality
• Quadratic equations in real and complex number systems
• Relation between roots and coefficients; nature of roots; formation of quadratic equations

Chapter 3 – Matrices & Determinants

• Algebra of matrices; types of matrices (order two and three)
• Properties of determinants; area of triangles using determinants
• Adjoint and inverse of a square matrix
• Consistency and solution of simultaneous linear equations using determinants and matrices

Chapter 4 – Permutations and Combinations

• Fundamental principle of counting
• Permutation as arrangement; combination as selection
• Meaning and applications of P(n,r) and C(n,r)

Chapter 5 – Mathematical Induction

• Principle of Mathematical Induction and its simple applications

Chapter 6 – Binomial Theorem

• Binomial theorem for a positive integral index
• General term, middle term, and properties of binomial coefficients

Chapter 7 – Sequence & Series

• Arithmetic and Geometric progressions; insertion of A.M. and G.M.
• Relation between A.M. and G.M.
• Sum of special series: Σn, Σn², Σn³
• Arithmetico-Geometric progression

Unit 2: Calculus

Chapter 8 – Limit, Continuity & Differentiability

• Real-valued functions: polynomials, rational, trigonometric, logarithmic, and exponential functions
• Limits, continuity, and differentiability
• Differentiation of the sum, difference, product, and quotient of two functions
• Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions; derivatives up to order two
• Rolle's Theorem and Lagrange's Mean Value Theorem
• Applications: rate of change, monotonic functions, maxima and minima, tangents and normals

Chapter 9 – Integral Calculus

• Integral as an antiderivative; fundamental integrals
• Integration by substitution, by parts, and by partial fractions
• Integration using trigonometric identities
• Integral as limit of a sum; Fundamental Theorem of Calculus
• Properties and evaluation of definite integrals
• Area of regions bounded by simple curves

Chapter 10 – Differential Equations

• Ordinary differential equations: order and degree
• Formation of differential equations
• Solution by separation of variables
• Solution of homogeneous and linear differential equations

Unit 3: Coordinate Geometry

Chapter 11 – Coordinate Geometry

• Cartesian coordinates: distance formula, section formula, locus, translation of axes
• Straight lines: various forms of line equations, angles between lines, concurrence conditions, distance of a point from a line, bisectors, centroid, orthocentre, circumcentre
• Circles: standard and general forms, equation from diameter endpoints, tangent conditions
• Conic sections: parabola, ellipse, hyperbola in standard forms; tangent conditions

Unit 4: Vectors & 3D Geometry

Chapter 12 – 3-Dimensional Geometry

• Coordinates in space; distance between two points; section formula
• Direction ratios and direction cosines; angle between lines
• Skew lines and the shortest distance
• Equations of a line and a plane; intersection of line and plane; coplanar lines

Chapter 13 – Vector Algebra

• Vectors and scalars; addition of vectors
• Components in 2D and 3D space
• Scalar (dot) and vector (cross) products; scalar and vector triple products

Unit 5: Statistics, Probability & Trigonometry

Chapter 14 – Statistics & Probability

• Statistics: Mean, median, mode for grouped and ungrouped data; standard deviation, variance, and mean deviation
• Probability: Addition and multiplication theorems; Bayes' theorem; probability distribution of a random variable; Bernoulli trials; Binomial distribution

Chapter 15 – Trigonometry

• Trigonometric identities and equations
• Trigonometric functions and their properties
• Inverse trigonometric functions
• Heights and distances

Chapter 16 – Mathematical Reasoning

• Statements; logical operations (and, or, implies, implied by, if and only if)
• Tautology, contradiction, converse, and contrapositive

How Should You Prepare for JEE Main Mathematics?

Step 1 – Build Your Foundation with NCERT First

Every JEE Main question in Mathematics has its roots in NCERT concepts. Before picking up any advanced problem book, make sure every solved example and exercise in your Class 11 and Class 12 NCERT textbooks is done. Start with NCERT Solutions for Class 11 Maths for chapters like Sets, Trigonometry, and Sequences, then move to NCERT Solutions for Class 12 Maths for Calculus, Vectors, and Probability.

Step 2 – Follow a Chapter Priority Order

Use the weightage table above. Begin with Calculus (Chapters 8–10), then Coordinate Geometry (Chapter 11), then Algebra (Chapters 2–4, 7). Complete lower-weightage chapters like Mathematical Induction and Reasoning last.

Step 3 – Practice Daily and Track Accuracy, Not Just Speed

Speed without accuracy loses marks because of negative marking. Fix your accuracy above 80% on a chapter before increasing your solving speed. Daily 2-hour focused practice beats 6-hour unfocused sessions consistently.

Step 4 – Solve Previous Year Papers Chapter-Wise

NTA repeats question patterns. Solving 5 years of JEE Main Mathematics papers chapter-wise reveals exactly which subtopics get tested repeatedly. This is one of the most efficient revision strategies used by Kota's top faculty.

All Chapters

• Sets, Relations, and Functions
• Complex Numbers & Quadratic Equations
• Matrices & Determinants
• Permutations and Combinations
• Mathematical Induction
• Binomial Theorem
• Sequence & Series
• Limit, Continuity & Differentiability
• Integral Calculus
• Differential Equations
• Coordinate Geometry
• 3 Dimensional Geometry
• Vector Algebra
• Statistics & Probability
• Trigonometry
• Mathematical Reasoning

Click on the links below to get a detailed syllabus of Chemistry and Physics as well.

• JEE Mains Chemistry Syllabus
• JEE Mains Physics Syllabus

So, that’s all from this post. I hope you get the idea about the JEE Mains Mathematics Syllabus.  If you enjoyed this post, then please share it with your friends. Stay tuned with eSaral.

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