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# JEE Main Maths Syllabus 2024 `

The NTA is responsible for taking care of all the aspects related to JEE Main examination, such as release of admit cards, syllabus and announcement of results etc. The syllabus for JEE Main for 2024 mostly stays the same. students can check the JEE Main Maths syllabus which will help them to form a proper plan for studying in an organized way.
Each and every concept in the syllabus of JEE Main for Maths is relevant and the questions can be asked from anywhere. By understanding the JEE Main math syllabus, You will be able to get a clear idea of what concepts to prepare or to avoid for better JEE Main results. For Maths, the most essential thing that students need is consistent practice. More problems that students practice, the better their ability to solve the questions with precision and speed. You can also check detailed subject-wise lists of all the topics in the JEE Main Physics syllabus and Chemistry syllabus from below-mentioned links.

## JEE Main Mathematics Syllabus 2024

Unit wise syllabus of mathematics of jee main is given in table below

 Unit no. Topic’s Name Sets,Relations and Functions Complex Numbers and Quadratic Equations Matrices and determinants Permutations and combinations Mathematical induction Binomial theorem and its simple applications Sequences and series Limits , continuity and differentiability Integral calculus Differential calculus Coordinate geometry Three dimensional geometry Vector algebra Statistics probability Trigonometry Mathematical reasoning

## JEE Main Mathematics Syllabus Topics

Candidates applying for the Joint Eligibility-cum-Entrance Examination (JEE) may also consult the comprehensive list of the above-mentioned concepts.

Unit 1 : Sets,Relations and Functions

• Sets and representation of sets

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

• Powerset

• Relation, types of relations, equivalence relations.

• Functions: one-one, into and onto functions, the compositions of functions.

Unit 2 : Complex Numbers and Quadratic Equations

• Complex numbers as ordered pair of reals.

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

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

• Triangle inequality

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

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

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.

• Adjoints and evaluations of inverse of a square matrix using determinants and elementary transformations.

• Test of consistency and solution of simultaneous linear equations in two or three variable 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 and its Simple Applications

• 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 arithmetic mean and geometric mean , sum upto n terms of special series: Sn, Sn2 etc.

Unit 8: Limit, Continuity and Differentiability

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

• Graph of simple functions.

• Limits, continuity and differentiability.

• Differentiation of 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 function of one variable, tangents and normal.

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 functions.

• Integration using trigonometric identities.

• Integral as the limit of a sum.

• 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 Calculus

• 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 a homogenous and linear differential equation

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, condition for concurrence of three lines.

• Distance of a point from a line, equation of internal and external bisectors of angles between two lines, coordinates of 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 circle, the general form of the equation of the circle, its radius and centre, equation of a circle when the endpoints of a diameter are given, points 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 conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for  y = mx + c to be a tangent and points of tangency.

Unit 12 : Three Dimensional Geometry

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

• Section formula, direction ratios, 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

• Vectors and scalers, the addition of vectors, components of a vector in two dimensions and three dimensional space.

• Scalar products and vector products and vector triple product.

Unit 14 : Statistics and Probability

• Measures of dispersion: calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

• Probability : probability of an event, addition and multiplication theorem of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and binomial distribution.

Unit 15: Trigonometry

•  Trigonometric identities and equations.

•  Trigonometric functions, inverse trigonometric functions and their properties.

• Height and distance

Unit 16: Mathematical Reasoning

• Statements and logical operations: or, and, implies, implied by, if and only if, understanding of tautology, contradiction, converse and contrapositive.

## JEE Mains 2023 weightage for Mathematics (Topic wise)

Table of JEE Mains 2023 weightage for Mathematics (Topic wise) given below

 Topic’s name Number of questions marks Sets,Relations and Functions 1 4 Complex Numbers and Quadratic Equations 2 8 Matrices and determinants 2 8 Permutations and combinations 1 4 Mathematical induction 1 4 Binomial theorem and its simple applications 1 4 Sequences and series 1 4 Limits, continuity and differentiability 3 12 Integral calculus 3 12 Differential calculus 1 4 Coordinate geometry 5 20 Three dimensional geometry 2 8 Vector algebra 2 8 Statistics and probability 2 8 Mathematical reasoning 1 4

## Best Books to Completely Cover JEE Main Maths Syllabus

Every JEE Main aspirant during his jee main preparation often comes across the question “which is the best book for JEE Main mathematics?”. Since the mathematics paper is quite lengthy and includes comprehensive problems hence considered the toughest of all subjects. Jee main mathematics preparation requires a lot of practice with relevant questions and deep understanding of concepts. Aspirants can refer to the best books for jee main mathematics to get a deep knowledge of the subject.

Table of Best Books of jee main mathematics given below:

S.No.

Name of the Book

Author

1

Objective mathematics

R D Sharma

2

Plane trigonometry

S L Loney

3

The elements of coordinate geometry

S L Loney

4

Play with graphs

Amit M agarwal

5

Differential calculus

Amit M agarwal

Question 1: Why is covering the complete JEE Main Maths syllabus beneficial?

Answer 1: There are several Benefits of covering the whole syllabus of JEE Main Maths syllabus which are mentioned below.
Complexity: The Maths syllabus in JEE Main is designed to provide you with a comprehensive knowledge of different mathematical principles and topics. This will help you to build a solid foundation in mathematics.
Conceptuality: Every topic in the syllabus is related to others. By studying the whole syllabus, students will have a clear comprehension of the fundamental concepts and their application. This will help them to approach problems with more clarity and improve their chances of successfully solving them.
Scoring Power: JEE Main is a highly competitive exam. Therefore, it is important to cover the whole syllabus in order to maximize the scoring potential. Although some topics may seem less important or have fewer questions in the past, the exam pattern may change and any given topic can be thoroughly tested in any year.
Scoring Potential: JEE Main is a highly competitive exam, and every mark matters. By covering the whole syllabus, you can maximize your score. Although a particular topic may seem less important or may have fewer questions in the past, it is important to note that the exam pattern may change and any topic may be tested thoroughly in any given year, so it is essential to cover the entire syllabus in order to maximize your score.
Confidence Management: Having covered the whole syllabus of JEE Main Maths gives you a good foundation, a broader perspective, and the skills you need to face any challenge during the exam. Having covered the full syllabus gives you confidence and time management. You are better prepared to face any question as you have practiced various problems across various topics. Comprehensive preparation also helps you in managing your time well during the exam as you can easily identify the type of questions and the correct approach to solve them.

All in all, covering the entire syllabus of the JEE Main Maths provides you with a good foundation, wider perspective, and skills that will help you in facing any challenge while taking the exam.

Question 2: How should I prepare Maths for jee main 2024?

Answer 2: First, you need to understand the basic concepts of each topic under JEE Main Mathematics. Then, you need to practice solving a variety of problems from various sources, including textbooks, JEE Main papers from previous years, and online sources. Finally, you need to use study materials, video tutorials, and other resources specially designed for the preparation of JEE Main. Mock tests, sample papers etc. which will help you to evaluate your progress and enhance your time management.