JEE Main 2024 Mathematics Syllabus – Get Syllabus Here

JEE Main 2024 Mathematics Syllabus has been declared officially by the National Testing Agency (NTA) which is one of the significant subjects of Paper 1. Paper 1 of JEE Main Syllabus consists of three significant subjects, which are Physics, Chemistry, and Mathematics (PCM).

Here we provide the latest Mathematics JEE Mains Syllabus, which contains all the Mathematics units.

The JEE Main Syllabus 2024 is based on the class 11th and 12th Syllabus of CBSE and the State board.

JEE Main Maths Syllabus 2024 

JEE Main Mathematics Syllabus

JEE Main Mathematics Syllabus contains 16 Units, each covering various topics.

We have given a separate syllabus for Mathematics. Candidates are requested to check the Mathematics JEE Main Syllabus 2024.

Unit 1- Sets, Relations & Functions

Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, 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, 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, the nature of roots, and the formation of quadratic equations with given roots.

Unit 3-Matrices and Determinants

Matrices, algebra of matrices, types of matrices, determinants, and matrices of order two and three. Properties of determinants, evaluation of determinants, and the area of triangles using determinants.

Adjoint and evaluate the inverse of a square matrix using determinants and elementary transformations; test consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

Unit 4-Permutations and Combinations

A fundamental principle of counting, permutation as an arrangement and combination as selection, 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 & Its Simple Applications

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

Unit 7- Sequences 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, S n2, Sn3. Arithmetic-Geometric progression.

Unit 8-  Limit, Continuity & Differentiability

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

Graphs of simple functions. Limits, continuity, and differentiability. Differentiate 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 is 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 Equation

Ordinary differential equations, their order, and degree. Formation of differential equations. The solution of differential equations by separating variables is a solution of homogeneous and linear differential equations.

Unit 11- Co-Ordinate Geometry

Cartesian system of rectangular co-ordinates 10 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, a 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, the condition for y = ax + c to be a tangent and point (s) of tangency.

Unit 12- Three Dimensional 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 their equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, and coplanar lines.

Unit 13- Vector Algebra

Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.

Unit 14 – Statics 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 theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials, and Binomial distribution.

Unit 15- Trigonometry Mathematical Reasoning

Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances

Unit 16- Mathematical Reasoning

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

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Sunil Kushwaha

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