JEE Main 2024 Mathematics Syllabus, Check Important Topics & Marks Weightage 

Candidates preparing for the JEE Main 2024 entrance examination can finally check the JEE Main 2024 syllabus for paper 1 and paper 2 released by the National Testing Agency on 1 November 2023.

As per the JEE Main 2024 notification, the registration procedure has started for JEE Main 2024 paper 1 till 30 November 2023. NTA has also made a few changes for JEE Main 2024, they have also reduced the syllabus from previous years.

Unit 5 “Mathematical Induction”, Unit 16 “Mathematical Reasoning” and a few topics from Unit 11 “Three Dimensional Geometry” of the maths subject that NTA has reduced from the JEE Mains syllabus 2024.

Let’s read the complete syllabus of JEE Main 2024 mathematics subject for paper 1 (B.E./B.Tech.) written below in the article.

UNIT 1: SETS, RELATIONS, AND FUNCTIONS (3.3% Marks Weightage)

Sets and their representation: Union, intersection, and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.

UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS (3.3% Marks Weightage)

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form of +ib and their representation in a plane, Argand diagram, algebra of complex number, modulus, and argument (or amplitude) of a complex number.

Quadratic equations in real and complex number systems and their solutions Relations between roots and co-efficient, nature of roots, the formation of quadratic equations with given roots.

UNIT3: MATRICES AND DETERMINANTS (3.3% Marks Weightage)

Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of the inverse of a square matrix using determinants and, Tests of consistency and solution of simultaneous linear equations in two or three variables using matrices.

UNIT 4: PERMUTATIONS AND COMBINATIONS (3.3% Marks Weightage)

The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications.

UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS (3.3% Marks Weightage)

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

UNIT 6: SEQUENCE AND SERIES (6.6% Marks Weightage)

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, the Relation between A.M and G.M.

UNIT 7: LIMIT, CONTINUITY, AND DIFFERENTIABILITY (3.3% Marks Weightage)

Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, and exponential functions, inverse function. Graphs of simple functions. Limits, continuity, and differentiability. Differentiation of 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, applications of derivatives: rate of change of quantities, monotonic-increasing and decreasing functions, maxima and minima of functions of one variable.

UNIT 8: INTEGRAL CALCULUS (3.3% Marks Weightage)

Integral is an anti-derivative, Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.Evaluation of simple integrals.

The 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 9: DIFFERENTIAL EQUATIONS (3.3% Marks Weightage)

Ordinary differential equations, their order, and degree, the solution of differential equations by the method of separation of variables, solution of a homogeneous and linear differential equation of the type 𝑑𝑦/𝑑𝑥 + 𝑝(𝑥)𝑦 = 𝑞(𝑥)

UNIT 10: CO-ORDINATE GEOMETRY (3.3% Marks Weightage)

Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axis, Straight line, various forms of equations of a line, intersection of lines, angles between two lines, and conditions for concurrence of three lines.

The distance of a point forms a line, the co-ordinate of the centroid, orthocentre, and circumcentre of a triangle, circle, conic sections, a standard form of equations of a circle, the general form of the equation of a circle, its radius and central.

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 sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms.

UNIT 11: THREE DIMENSIONAL GEOMETRY (6.6% Marks Weightage)

Coordinates of a point in space, the distance between two points, section formula, directions ratios, and direction cosines, and the angle between two intersecting lines.

Skew lines, the shortest distance between them, and its equation, equations of a line.

UNIT 12: VECTOR ALGEBRA (3.3% Marks Weightage)

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

UNIT 13: STATISTICS AND PROBABILITY (3.3% Marks Weightage)

Measures of discretion; 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, and the probability distribution of a random variable.

UNIT 14: TRIGONOMETRY (6.6% Marks Weightage)

Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions, and their properties.

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