The JEE Main examination is the gateway examination for students aspiring to study in the prestigious institutes of IITs and NITs. In 2022, the examination would be conducted in two sessions, this is done to improve the chances of students getting admission to their dream colleges.

One of the main aspects of acing the JEE examinations is through a comprehensive knowledge of the syllabus. The article mentions a detailed JEE Mains Maths syllabus along with the JEE Main topic-wise weightage of mathematics.

Prior to the discussion about the JEE Mains Maths syllabus of 2022, let us quickly look into the complete overview of the syllabus of JEE Mains syllabus. Vedantu offers freely accessible JEE Mains Syllabus 2022 on the official site.

JEE Main syllabus PDF for Paper 1 conducted for B.E./B.Tech degrees and Paper 2 conducted for B.Arch/B.Plan degree admissions. Paper 1 will be used to administer the examination for admission to several famous schools' B.E. and B.Tech programmes, which will include three JEE main subjects: physics, chemistry, and mathematics. The exam syllabus covers the concepts and topics covered in grades 11 and 12. The Aptitude, Drawing, and Mathematics topics are covered in the JEE Main 2022 Paper 2 Syllabus.

Also, check all the essential information on JEE Main and JEE Advanced 2022 curated by experts at Vedantu!

Since we have understood the overview of the paper pattern or syllabus of the JEE mains examination of 2022, let us look at the comprehensive details of the mathematics syllabus along with the JEE Main topic-wise weightage. The chapter-wise weightage for JEE Mains 2022 PDF is also available on the official site of Vedantu. The list of chapters or units is mentioned below.

Complex numbers and quadratic equations

Matrices and determinants

Sets, relations and functions

Mathematical induction

Permutations and combinations

Mathematical reasoning

Limit, continuity and differentiability

Integral calculus

Three-dimensional geometry

Differential equations

Binomial theorem and its simple applications

Sequence and Series

Vector algebra

Statistics and probability

Trigonometry

Coordinate geometry

Now, let us discuss the sub-topics discussed under the units. Since mathematics is a formula based subject, the knowledge of formulae at fingertips is very important to understand the question.

Vedantu offers free JEE Main Maths Revision Notes!

Sets and representation of sets

Union, intersection, algebraic properties, and complement of sets

Powerset

Relation

Types of relations

Equivalence relations

Functions; one-one, into and onto functions

The composition of functions

Representation of complex numbers

The Argand diagram

Complex number algebra

Modulus and argument

Complex number square root

Inequality in triangles

Quadratic equations and their solutions in real and complex number systems

The nature of roots

The construction of quadratic equations with given roots

Relationship between roots and coefficients.

Algebra of matrices

Types of matrices

Second and third order matrices

Properties of determinants

Evaluation of determinants

Calculation of the area of triangles using determinants

Adjoint and evaluation of inverse of a square matrix

Testing consistency and solution of simultaneous linear equations

The fundamentals

Permutation as an arrangement and combination as a selection.

The meaning of P (n,r) and C (n,r)

Simple applications

The principle of Mathematical Induction

Simple applications

Binomial theorem

General term

Middle term

Properties of Binomial coefficients

Application of binomial theorem

Arithmetic progressions

Geometric progressions

Insertion of arithmetic

Geometric means.

Relation between A.M. and G.M.

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

Arithmetic Geometric progression

Real-valued functions

Algebra of functions

Polynomials, rational, trigonometric, logarithmic and exponential functions

Inverse functions

Graphs

Limits, continuity, and differentiability

Differentiation of the sum of two function

Difference between the two function

Product of two functions and quotient of two functions.

Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two

Rolle’s

Lagrange’s Mean Value Theorems

Rate of change of quantities

Monotonic increasing and decreasing functions

Maxima, and minima of functions of one variable

Tangents, and normals.

Antiderivative integral

Fundamental integrals

Integration by substitution, by parts, and by partial fractions

Integration by trigonometric identities

Integral as the limit of a sum

Evaluation of simple integrals

Fundamental Theorem of Calculus

Properties of definite integrals

Evaluation of definite integrals

Calculation of the regions bounded by simple curves in standard form

Ordinary differential equations

Order and degree

Formation of differential equations.

Separation of variables.

Homogeneous and linear differential equations

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

Equations of a line

The 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

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.

A standard form of the equation of a circle

The general form of the equation of a circle

Radius and centre,

Equation of a circle

Equation of the tangent

Sections of cones

Equations of conic sections

Coordinates

Distance between two points

Section formula

Direction ratios and direction cosines

The angle between two intersecting lines

Skew lines and their equations

Equations of a line and a plane

The intersection of a line and a plane, coplanar lines

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

Measures Of Dispersion

Mean

Mode

Median

Variance

Standard Deviation

Mean Deviation Of Ungrouped And Grouped Data

Probability Of Events

Multiplication Theorems

Addition Theorems

Baye’s Theorem

Bernoulli Trials

Binomial distribution and probability distribution

Identities of Trigonometry and Trigonometric equations

Functions of Trigonometry

Properties of Inverse trigonometric functions

Problems on Heights and Distances

Statements and logical operations

Contradiction

Tautology

Contrapositive and converse

Since we have covered up all the sub-topics and important concepts of the JEE main maths syllabus, we will now summarise the important topics according to their importance or weightage in the JEE Mains paper. Let us look into the JEE Main topic-wise weightage of the 2022 JEE Mains syllabus.

Coordinate Geometry- 12%

Integral Calculus- 12%

Trigonometry- 7%

Sequence and Series- 7%

Matrices and Determinants- 7%

Differential Equations- 7%

Students who want to ace the JEE exams must have a thorough and exact comprehension of the subjects. The following are some books that students can use to help them with their preparations.

Another key point to remember is that students must use the NCERT textbooks because the JEE tests follow the textbook's syllabus. Vedantu provides free IIT JEE Study Materials to assist pupils with their studies. Let's have a peek at the book list for mathematics!

Maths XI & XII by R.D. Sharma

Plane Trigonometry by S. L. Loney

Higher Algebra by Hall & Knight

IIT Mathematics by A Das Gupta

Problems of Calculus in One Variable by I.A. Maron

Also Read: How to Crack JEE Main 2022: Top 5 Tips to Prepare for JEE Mains

This was an in-depth look at the JEE Mains Maths syllabus, as well as JEE Main topic-wise weightage. We hope that we have given students a clear picture of the syllabus to aid their preparation.

In addition to the syllabus, Vedantu provides JEE Main online mock test series and JEE main previous year question paper with answer keys to help students prepare for the JEE main exams. These resources are recommended for students taking the JEE exams in 2022.

We wish you every success in your future endeavours!