Check the Topic-wise Weightage of JEE Mains Maths Syllabus 2022

by Shreya Patro May 12, 2022

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. 

JEE Mains Exam Maths Syllabus

Overview of JEE Mains Syllabus for 2022

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!

JEE Mains Maths Syllabus of 2022

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.

  1. Complex numbers and quadratic equations

  2. Matrices and determinants

  3. Sets, relations and functions

  4. Mathematical induction

  5. Permutations and combinations

  6. Mathematical reasoning

  7. Limit, continuity and differentiability

  8. Integral calculus

  9. Three-dimensional geometry

  10. Differential equations

  11. Binomial theorem and its simple applications

  12. Sequence and Series

  13. Vector algebra

  14. Statistics and probability

  15. Trigonometry

  16. 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!

Unit 1- Sets, Relations, and Functions

  • 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

Unit 2- Quadratic Equations

  • 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.

Unit 3: Matrices and Determinants

  • 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

Unit 4: Permutations and Combinations

  • The fundamentals

  • 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

  • Simple applications

Unit 6: Binomial Theorem

  • Binomial theorem

  • General term 

  • Middle term

  • Properties of Binomial coefficients

  • Application of binomial theorem

Unit 7: Sequence and Series

  • 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

Unit 8: Limit, Continuity and Differentiability

  • 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.

Unit 9: Integral Calculus

  • 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

Unit 10: Differential Equations

  • Ordinary differential equations

  • Order and degree

  • Formation of differential equations.

  • Separation of variables.

  • Homogeneous and linear differential equations

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

  • 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 

Unit 12: 3D Geometry

  • 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

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

  • 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

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

  • Contradiction

  • Tautology

  • Contrapositive and converse

JEE Main Topic-wise Weightage of the Syllabus

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% 

Books to Refer

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

An Ending Note

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!