JEE Main 2024 Mathematics Syllabus

 

The Mathematics section of JEE Main 2024 comprises 14 units that cover essential concepts in algebra, calculus, geometry, statistics, and more. Here’s a chapter-wise breakdown:

 

Unit 1: Sets, Relations, and Functions

• Basic set theory: Union, intersection, complement, and power set.

• Relations and functions: Types of relations, equivalence relations, one-one, onto functions, and their compositions.

 

Unit 2: Complex Numbers and Quadratic Equations

• Representation of complex numbers in the Argand plane, modulus, and argument.

• Quadratic equations: Roots, nature of roots, and equations with given roots.

 

Unit 3: Matrices and Determinants

• Matrix operations, determinants, adjoint, inverse, and their applications in solving linear equations.

 

Unit 4: Permutations and Combinations

• Fundamental counting principle, arrangements (P(n, r)), and selections (C(n, r)).

 

Unit 5: Binomial Theorem

• Expansion, general term, and applications of the binomial theorem for positive integral indices.

 

Unit 6: Sequence and Series

• Arithmetic and geometric progressions, relation between AM and GM.

 

Unit 7: Limit, Continuity, and Differentiability

• Basics of limits and continuity.

• Differentiation of various functions and applications like rate of change and maxima/minima.

 

Unit 8: Integral Calculus

• Integration techniques and applications.

• Definite integrals and area under curves.

 

Unit 9: Differential Equations

• Order, degree, and solutions of ordinary differential equations using separation of variables and other methods.

 

Unit 10: Coordinate Geometry

• Straight lines, circles, and conic sections like parabolas, ellipses, and hyperbolas.

• Equations and properties of lines and curves.

 

Unit 11: Three-Dimensional Geometry

• Distance, section formula, direction cosines/ratios, lines, and shortest distance between skew lines.

 

Unit 12: Vector Algebra

• Vector operations: Addition, scalar and vector products, and their applications.

 

Unit 13: Statistics and Probability

• Measures of central tendency (mean, median, mode), standard deviation, variance, and basic probability theorems.

 

Unit 14: Trigonometry

• Trigonometric identities, equations, and inverse functions with their properties.