JEE Main Mathematics Paper Syllabus 2025
The Mathematics syllabus for JEE Main 2025 is based on the NCERT syllabus for Class XI and XII Maths. The JEE Maths syllabus covers a wide range of topics, including algebra, calculus, trigonometry, geometry, and many more. The paper of JEE Main Mathematics exam is conducted for 100 marks.
JEE Main 2025 Math Syllabus
The new JEE Main 2025 Mathematics syllabus covers a wide range of topics that are related to mathematics, such as sets, relations and functions; complex numbers and quadratic equations, permutations and combinations, sequences and series; and many more. Students appearing for the JEE Main Mathematics can check below for detailed information.
Unit 1: Sets, Relations and Functions
- Sets and their representations, Intersection and Complement of Sets along with their Algebraic Properties, Power Sets
Unit 2: Complex Numbers and Quadratic Equations
- Representation of Complex Numbers in the form of a + ib, Argand Diagram, Algebra of Complex Numbers, Square Roots of Complex Numbers, Quadratic Equations, Triangle Inequality, Nature of Roots
Unit 3: Matrices and Determinants
- Matrices, Algebra of Matrices, Determinants, Type of Matrics, Properties of Determinants, Evaluation of Determinants.
Unit 4: Permutations and Combinations
- Fundamental Principles of Counting, Permutation as Arrangements, Combinations as Sections, the meaning of P and C, and Simple Applications.
Unit 5: Binomial Theorem and its Simple Applications
- Binomial Theorem for Positive Integral Index, General term of Binomial, Middle term of Binomial, Properties of Binomial, Simple Applications of Binomial.
Unit 6: Sequence and Series
- Arithmetic and Geometric Progressions, Relation between A.M and G.M, Arithmetico-Geometric Progression
Unit 7: Limit, Continuity and Differentiability
- Graphs of Simple Functions, Real valued Fractions, Algebra of Functions, Polynomials, Rational, Trigonometric, Logarithmic, Differentiation of Sum, Difference, Product, Rolle’s and Lagrange’s Mean Value Theorems, Differentiation of Trigonometric, Inverse Trigonometric, Applications of Derivation like Change of Quantities, Monotonic Increasing, Maxima, Tangents and Normal.
Unit 8: Integral Calculus
- Fundamental Integrals such as Algebraic, Trigonometric, Exponential and Logarithmic Functions, Integration using Trigonometric Identities, Fundamental Theorem of Calculus, Properties of Definite Integrals
Unit 9: Differential Equations
- Ordinary Differential Equations, Its Order and Degree, Formation of Differential Equations
Unit 10: Co-ordinate Geometry
- Cartesian System of Rectangular Coordinates in the Plane, Sections Formula, Distance Formula, Locus, Coordinate Geometry Equations, Translation of Axes, Slope of a Line, Parallel and Perpendicular Lines
Unit 11: Three-Dimensional Geometry
- Coordinates of a Point in Space, the Distance between two, directions Ratio, Section Formula, Direction Cosines, Angle between two Intersecting Lines, Skew Lines, and Co-planar Lines.
Unit 12: Vector Algebra
- Vector and Scalars, Components of a Vector in two Dimensions and Three Dimensions, Scalar and Vector Products
Unit 13: Statistics and Probability
- Calculation of Mean, Median, and Mode of Grouped and Ungrouped Data, Variance, and Mean Deviation.
- Probability of an Event, Addition & Multiplication Theorems of Probability, Baye’s Theorem, Probability Distribution of Random Variate, Binomial Distribution
Unit 14: Trigonometry
- Trigonometrical Identities and Equations, Inverse Trigonometrical Functions, Trigonometrical Functions & Properties, Heights and Distance.
