JEE Main Maths Syllabus 2025: Download Free PDF & Check Weightage!

NTA JEE Mains Syllabus 2025

Unit Name

JEE Main Unit-Wise Syllabus 

Unit 1: Sets, Relations, and Functions

Union, intersection, and complement of sets and their algebraic properties.

Powerset.

Relation, Types of relations, equivalence relations.

Sets and their representation.

Functions; one-one, into and onto functions, the composition of functions.

Unit 2: Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals.

Algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number.

Representation of complex numbers in the form (a+ib) and their representation in a plane, Argand diagram.

Triangle inequality.

The relation between roots and coefficients, the nature of roots, and the formation of quadratic equations with given roots.

Quadratic equations in real and complex number system and their solutions.

Unit 3: Matrices and Determinants

Matrices: Algebra of matrices, types of matrices, and matrices of order two and three.

Determinants: Properties of determinants, evaluation of determinants, the area of triangles using determinants.

Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations.

Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

Unit 4: Permutations and Combinations

The fundamental principle of counting.

Permutation as an arrangement and combination as a selection.

The meaning of P (n,r) and C (n,r). Simple applications.

Unit 5: Mathematical Induction

The principle of Mathematical Induction and its simple applications.

Unit 6: Binomial Theorem

Binomial theorem for a positive integral index.

General term and middle term.

Properties of Binomial coefficients and simple applications.

Unit 7: Sequence and Series

Arithmetic and Geometric progressions, insertion of arithmetic.

Geometric means between two given numbers.

The relation between A.M. and G.M.

Sum up to n terms of special series: Sn, Sn2, Sn3.

Arithmetic Geometric progression.

Unit 8: Limit, Continuity and Differentiability

Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, and inverse functions.

Graphs of simple 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 of order up to two.

Rolle’s and Lagrange’s Mean Value Theorems.

Applications of derivatives: Rate of change of quantities, monotonic increasing and decreasing functions, Maxima, and minima of functions of one variable, tangents, and normals.

Unit 9: Integral Calculus

Integral as an antiderivative.

Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions.

Integration by substitution, by parts, and by partial fractions.

Integration using trigonometric identities.

Integral as the limit of a sum.

Evaluation of simple integrals as mentioned in the official JEE Mains 2022 syllabus pdf.

Fundamental Theorem of Calculus.

Properties of definite integrals, evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

Unit 10: Differential Equations

Ordinary differential equations, their order, and degree.

Formation of differential equations.

The solution of differential equations by the method of separation of variables.

The solution of homogeneous and linear differential equations of the type as mentioned in the official JEE Mains 2022 syllabus pdf.

Unit 11: Coordinate Geometry

Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

Straight lines: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines.

Distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.

Circles, conic sections: Standard form of the equation of a circle, the general form of the equation of a circle, its radius and centre, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent.

Sections of cones, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.

Unit 12: 3D Geometry

Coordinates of a point in space, the distance between two points.

Section formula, direction ratios and direction cosines, the angle between two intersecting lines.

Skew lines, the shortest distance between them and its equation.

Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.

Unit 13: Vector Algebra

Scalars and Vectors. Addition, subtraction, multiplication and division of vectors.

Vector’s Components in 2D and 3D space.

Scalar products and vector products, triple product.

Unit 14: Statistics and Probability

Measures of Dispersion: Calculation of mean, mode, median, variance, standard deviation, and mean deviation of ungrouped and grouped data.

Probability: Probability of events, multiplication theorems, addition theorems, Baye’s theorem, Bernoulli trials, Binomial distribution and probability distribution.

Unit 15: Trigonometry

Identities of Trigonometry and Trigonometric equations.

Functions of Trigonometry.

Properties of Inverse trigonometric functions.

Problems on Heights and Distances.

Unit 16: Mathematical Reasoning

Statements and logical operations: or, and, implied by, implies, only if and if.

Understanding of contradiction, tautology, contrapositive and converse.

Unit Number & Name

Number of questions asked in 2021

Unit 1: Sets, Relations, and Functions

4%

1

Unit 2: Complex Numbers and Quadratic Equations

8%

2

Unit 3: Matrices and Determinants

8%

2

Unit 4: Permutations and Combinations

8%

1

Unit 5: Mathematical Induction

4%

1

Unit 6: Binomial Theorem

4%

1

Unit 7: Sequence and Series

4%

1

Unit 8: Limit, Continuity and Differentiability

12%

3

Unit 9: Integral Calculus

12%

3

Unit 10: Differential Equations

4%

1

Unit 11: Coordinate Geometry

20%

5

Unit 12: 3D Geometry

8%

2

Unit 13: Vector Algebra

8%

2

Unit 14: Statistics and Probability

8%

2

Unit 15: Trigonometry

4%

1

Unit 16: Mathematical Reasoning

4%

1

Book Name

Author

How is it helpful?

Objective Mathematics

R D Sharma

Basic concepts of all the units are explained along with practice questions. 

Plane Trigonometry

S L Loney

The book has excellent questions on the trigonometry unit. 

The Elements Of Coordinate Geometry 

S L Loney

The book has detailed concepts and practice questions for a deep understanding of Coordinate Geometry including 3D Geometry and Vector Algebra

Algebra

Dr S K Goyal (Arihant Publications)

Algebra units are all explained with a variety of questions. This book is great for topics like Sets, Relations, and Functions, Complex Numbers and Quadratic Equations, Matrices and Determinants, Permutations and Combinations, Mathematical Induction, Binomial Theorem, Sequence and Series, Statistics and Probability, Mathematical Reasoning

Play with Graphs

Amit M Agarwal (Arihant Publications)

Graphical questions and methods to draw graphs are given with examples and practice questions. Graphs are a part of most of the questions and this book helps in preparation. 

Differential Calculus

Amit M Agarwal (Arihant Publications)

All varieties of questions in Differential calculus are well covered. Practice questions from Limit, Continuity and Differentiability topics

Integral Calculus

Amit M Agarwal (Arihant Publications)

Integral Calculus and Differential Equations topics are covered in detail

Complete mathematics

TMH

Practice questions of all chapters that match up to the level of questions asked in the actual exam.