⭐ Must Read: iit jee/jee main maths syllabus

The JEE Main Maths syllabus covers the topics candidates need to prepare for the Mathematics section of the Joint Entrance Examination (JEE Main). Understanding the syllabus helps candidates plan their preparation and focus on important topics for the exam.

The Maths Syllabus for IIT JEE has sixteen units, and each of them has to be covered by the candidates.

Units	JEE Main Maths Syllabus Topics
Unit 1: Sets, Relations and Functions	Sets and their representation Union Intersection, and complement of sets and their algebraic properties Power set Relation and its Types Functions Types of Function
Unit 2: Complex Numbers and Quadratic Equations	Definition of Complex Numbers Polar Representation of Complex Numbers Euler’s Formula Algebraic Operations on Complex Numbers
Unit 3: Matrices and Determinants	Matrices Algebra of matrices Types of matrices Determinants, and matrices of order 2 and 3 Properties of determinants Evaluation of determinants Area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants. Elementary transformations Testing Consistency and Solving Simultaneous Linear Equations with Determinants and Matrices
Unit 4: Permutations And Combinations	Fundamental Counting Principle. Factorials and Basic Permutations. Combinations. Binomial Theorem. Distribution Problem Derangements Circular permutations
Unit 5: Binomial Theorem and its Simple Applications	Binomial theorem General and Middle Terms
Unit 6: Sequences and Series	Arithmetic Progression and Geometric Progression Geometric Mean Formula Geometric means between two given numbers Relation Between AM, GM and HM Special Series – Sequences and Series
Unit 7: Limit, Continuity and Differentiability	Algebra of Real Functions Algebra of Derivative of Functions Inverse Functions Graphs of simple functions Limits, Continuity and Differentiability Differentiation Rules Differentiation of trigonometric Function Derivative of Inverse Trigonometric Functions Derivative of Exponential Function Derivatives of Composite Functions Implicit Differentiation Logarithmic Differentiation Second Order Derivatives in Continuity and Differentiability Rolle's and Lagrange's Mean Value Theorems. Application of Derivatives
Unit 8: Integral Calculus	Integral as an anti - derivative Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities. Integral as 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. Applications of Definite Integrals
Unit 9: Differential Equations	Fundamental of Differential Equations How to solve Differential Equations? Order and Degree Of Differential Equations Solution of differential equations by the method of separation of variables. Solution of homogeneous and linear differential equations.
Unit 10: Coordinate Geometry	Cartesian Coordinate System Distance Between Two Points Slope of a Line Direction Cosines and Direction Ratios Skew lines, Shortest Distance Between Two Lines Equation of a Line in 3D
Unit 11: 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 its equation Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.
Unit 12: Vector Algebra	vectors and scalars Addition of vectors Components of a vector in two dimensions and three-dimensional space Scalar Product of Vectors Scalar and vector triple product Dot and Cross Products on Vectors
Unit 13: Statistics and Probability	Measures of Dispersion: Calculation of mean median, mode of grouped and ungrouped data Calculation of standard deviation, variance. Mean deviation for grouped and ungrouped data. Probability: Probability of an event. Addition theorems of probability. Multiplication theorems of probability. Bayes' theorem. Probability distribution of a random variate. Bernoulli trials, and Binomial distribution.
Unit 14: Trigonometry	Trigonometric identities and equations. Trigonometric functions Inverse trigonometric functions and their properties Heights and Distances

JEE Main Maths Syllabus 2027

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