## JEE Main Mathematics Syllabus

The JEE Main Mathematics Syllabus comprises 2 sections A and B, where section A consists of MCQs, and in Section B candidates can choose any 5 questions out of the 10 given and they need to do the calculations and enter a final numerical digit. Section A contains negative markings. Candidates can check the mathematics syllabus here from the below table.

**Unit 1: Sets, Relations and Functions**

The Unit 1 of JEE Main Maths syllabus comprises topics from chapter Sets, Relations and Functions. Check the detailed JEE Mains Maths syllabus for Unit 1 below:

- 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**

The Unit 2 of JEE Main Maths syllabus comprises topics from Chapter Complex Number and Quadratic Equation. Check the detailed JEE Mains Maths syllabus for Unit 2 below:

- 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 Number
- 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
- Relations between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.

**Unit 3: Matrices and Determinants**

The Unit 3 of the JEE Main Maths syllabus comprises topics from Chapter Matrices and Determinants. Check the detailed JEE Mains Maths syllabus for Unit 3 below:

- Matrices
- Algebra of Matrices
- Type of Matrices
- Determinants and Matrices of Order Two and Three
- Properties of Determinants
- Evaluation of Determinants
- Area of Triangles using Determinants
- Adjoint and Evaluation of Inverse of a Square Matrix using Determinants and Elementary Transformations
- Test of Consistency and Solution of Smultaneous Linear Equations in Two or Three variables using Determinants and Matrices

**Unit 4: Permutation and Combination**

The Unit 4 of the JEE Main Maths syllabus comprises topics from Chapter Permutation and Combinations. Check the detailed JEE Mains Maths syllabus for Unit 4 below:

- 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**

The Unit 5 of the JEE Main Maths syllabus comprises topics from Chapter Binomial Theorem and its Simple Applications. Check the detailed JEE Mains Maths syllabus for Unit 5 below:

- Binomial Theorem for a Positive Integral Index
- General Term and Middle Term
- Properties of Binomial Coefficients
- Simple Applications

**Unit 6: Sequence and Series**

The Unit 6 of the JEE Main Maths syllabus comprises topics from Chapter Sequence and Series. Check the detailed JEE Mains Maths syllabus for Unit 6 below:

- Arithmetic and Geometric Progressions
- Insertion of Arithmetic
- Geometric means between two given numbers
- Relation between A.M and G.M sum up to n terms of special series
- Sn, Sn2, Sn3
- Arithmetico-Geometric Progression

**Unit 7: Limit, Continuity and Differentiability**

The Unit 7 of the JEE Main Maths syllabus comprises topics from Chapter Limit, Continuity, and Differentiability. Check the detailed JEE Mains Maths syllabus for Unit 7 below:

- 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
- 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 Normal

**Unit 8: Integral Calculus**

The Unit 8 of the JEE Main Maths syllabus comprises topics from Chapter Integral Calculus. Check the detailed JEE Mains Maths syllabus for Unit 8 below:

- Integral as an Anti-Derivative
- Fundamental Integrals Involving Algebraic, Trigonometric, Exponential, and Logarithms Functions
- Integrations by substitution, by parts, and by partial functions
- Integration using trigonometric identities
- Integral as limit of a sum
- 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**

The Unit 9 of the JEE Main Maths syllabus comprises topics from Chapter Differential Equations. Check the detailed JEE Mains Maths syllabus for Unit 9 below:

- Ordinary Differential Equations, their order, and degree
- The formation of differential equations
- Solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation

**Unit 10: Coordinate Geometry**

The Unit 10 of the JEE Main Maths syllabus comprises topics from Chapter Coordinate Geometry. Check the detailed JEE Mains Maths syllabus for Unit 10 below

- Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis.

Straight line

- Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, equations of internal and external by sectors of angles between two lines co-ordinate of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.

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 condition for a line to be tangent to a circle, equation of the tangent, sections of conics, equations of conic sections (parabola, ellipse, and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency

**Unit 11: Three Dimensional Geometry**

The Unit 11 of the JEE Main Maths syllabus comprises topics from Chapter Three Dimensional Geometry. Check the detailed JEE Mains Maths syllabus for Unit 11 below:

- 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, and coplanar lines

**Unit 12: Vector Algebra**

The Unit 12 of the JEE Main Maths syllabus comprises topics from Chapter Vector Algebra. Check the detailed JEE Mains Maths syllabus for Unit 12 below:

- 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 13: Statistics and Probability**

The Unit 13 of the JEE Main Maths syllabus comprises topics from Chapter Statistics and Probability. Check the detailed JEE Mains Maths syllabus for Unit 13 below:

- 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, Probability distribution of a random variate, Bernoulli trials, and binomial distribution

**Unit 14: Trigonometry**

The Unit 14 of the JEE Main Maths syllabus comprises topics from Chapter Trigonometry. Check the detailed JEE Mains Maths syllabus for Unit 14 below:

- Trigonometrical Identities and Equations
- Trigonometrical Functions
- Inverse Trigonometrical functions and their properties, heights, and distance