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
Permutations and combinations
Limit, continuity and differentiability
Binomial theorem and its simple applications
Sequence and Series
Statistics and probability
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
Types of 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
Permutation as an arrangement and combination as a selection.
The meaning of P (n,r) and C (n,r)
The principle of Mathematical Induction
Properties of Binomial coefficients
Application of binomial theorem
Insertion of arithmetic
Relation between A.M. and G.M.
Sum up to n terms of special series: Sn, Sn2, Sn3
Arithmetic Geometric progression
Algebra of functions
Polynomials, rational, trigonometric, logarithmic and exponential functions
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
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.
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
Distance between two points
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 Deviation Of Ungrouped And Grouped Data
Probability Of Events
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
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%
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
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!