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## JEE Main Mathematics Syllabus: Topic-wise Weightage, Best Books

Last updated on August 7th, 2020 at 11:36 am

JEE Main Mathematics Syllabus is **common for all the three papers** of JEE Main. NTA prepares the JEE Main Maths syllabus. It has released the JEE Main Maths Syllabus 2020 along with the information brochure of **JEE Main 2020**.

Read the following article to know more about complete JEE Main Maths Syllabus, weightage of chapters and number of questions from each unit. Aspirants can save the whole syllabus as a PDF by using print option (Ctrl + P). In addition, we have also suggested some useful books for **preparation of JEE Main Mathematics**.

**Latest Update: **As announced by the HRD Minister Mr Ramesh Pokhriyal, the JEE Main exam will be conducted from **1st September – 6th September, 2020.**

## JEE Main Mathematics Syllabus – Highlights

- As per the analysis of previous years’ JEE Main exams, it is visible that there is no change in the
**JEE Main syllabus**. - However, there are a few changes in the
**JEE Main Exam Pattern**. - JEE Main Maths syllabus is largely based on the CBSE Maths syllabus of class 11 and 12.
- By knowing the syllabus, students will have a clear idea about what type of questions are asked in the paper and difficulty level of the papers.

**Also Check | JEE Main Physics Syllabus**

**JEE Main Mathematics Syllabus **

Following is the detailed analysis of unit-wise and topic-wise JEE Main Maths Syllabus:

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

- Sets and their representation
- Union, intersection and complement of sets and their algebraic properties
- Power set
- Relation, Types of relations, equivalence relations, functions
- One-one, into and onto functions, composition of functions

**Unit 2: Complex Number and Quadratic Equations**

- 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 numbers, 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
- The relation between roots and coefficients, nature of roots, the formation of quadratic equations with given roots

**Unit 3: Matrices and Determinants**

**Matrices**: Algebra of matrices, types of matrices, and matrices of order two and three**Determinants**: Properties of determinants, evaluation of determinants, the 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 simultaneous linear equations in two or three variables using determinants and matrices

**Unit 4: Permutations and Combinations**

- The fundamental principle of counting
- Permutation as an arrangement and combination as selection
- The meaning of P (n,r) and C (n,r). Simple applications

**Unit 5: Mathematical Induction**

- The principle of Mathematical Induction and its simple applications

**Unit 6: Binomial Theorem **

- Binomial theorem for a positive integral index
- General term and middle term
- Properties of Binomial coefficients and simple applications

**Unit 7: Sequences and Series**

- Arithmetic and Geometric progressions, insertion of arithmetic
- Geometric means between two given numbers
- The relation between A.M. and G.M
- Sum up to n terms of special series: Sn, Sn2, Sn3
- Arithmetic – Geometric progression

**Unit 8: Limit, Continuity and Differentiability**

- Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions
- 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 normals

**Check B.Plan Exam Pattern here**

**Unit 9: Integral Calculus**

- Integral as an antiderivative
- 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

**Evaluation of simple integrals:**

- 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 10: Differential Equations**

- Ordinary differential equations, their order, and degree.
- Formation of differential equations
- The solution of differential equations by the method of separation of variables
- The solution of homogeneous and linear differential equations of the type

## Latest News Updates

**JEE Main 2020 Admit Card Released on Jeemain.nic.in. Download Now****JEE Main 2020 Day 1: Check Exam Updates and JEE Main Paper Analysis****Registrations For JoSAA Counselling To Begin From 6th October****Check JEE Main Participating Colleges****JEE Advanced 2020: Revised Schedule Released, Registration Starts from 11 September**

**Unit 11: Co-ordinate Geometry**

- Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes
- Straight lines: 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 from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines
- Circles, conic sections: Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, 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 cones, 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

**Also Read | JEE Advanced Maths Syllabus**

**Unit 12: 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 13: Vector Algebra**

- 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 14: Statistics and Probability **

**Measures of Dispersion**: 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 15: Trigonometry **

- Trigonometric identities and equations.
- Trigonometric functions.
- Inverse trigonometric functions and their properties.
- Heights and Distances

**Unit 16: Mathematical Reasoning**

- Statements, logical operations and, or, implies, implied by, if and only if
- Understanding of tautology, contradiction, converse, and Contrapositive

**Also Check |** **JEE Main Chemistry Syllabus**

**JEE Main Mathematics Syllabus: Chapter-Wise Weightage**

Some chapters from the JEE Main Mathematics syllabus carry more weightage than the others. The table provided below contains the most **important topics** from JEE Main syllabus with weightage:

Important Topics |
Expected weightage |

Coordinate Geometry | 12% |

Integral and Differential Calculus | 30% |

Trigonometry | 7% |

Sequence and Series | 7% |

Matrices and Determinants | 7% |

Differential Equations | 7% |

There are a total of **16 units** in JEE Main Syllabus for Mathematics with the following weightage:

Topic |
Number of questions |

Sets, Relations and Functions | 1 |

Complex Numbers and Quadratic Equations | 3 |

Matrices and Determinants | 2 |

Permutations and Combinations | 1 |

Mathematical Induction | 1 |

Binomial Theorem and its simple applications | 1 |

Sequences and Series | 2 |

Limit, Continuity and Differentiability | 4 |

Integral Calculus | 3 |

Differential Equations | 1 |

Co-Ordinate Geometry | 5 |

Three-Dimensional Geometry | 3 |

Vector Algebra | 1 |

Statistics and Probability | 2 |

Trigonometry | 2 |

Mathematical Reasoning | 1 |

**Also Check | JEE Main Paper Analysis**

**Best Books for Preparing JEE Main Mathematics Syllabus**

Mathematics section requires comprehensive preparation. The following table represents some of the **best books for JEE Main** Mathematics Syllabus along with their author’s name that students can prefer for their Mathematics exam preparation:

Books Name |
Authors Name |

IIT Mathematics | M.L. Khanna |

Differential Calculus | Das Gupta |

Class XI and XII Mathematics | R.D. Sharma |

Trigonometry, Geometry Books | S.L. Loney |

Integral Calculus for IIT-JEE | Amit Agarwal |

Calculus and Analytic Geometry | Thomas and Finney |

Problems in Calculus of One Variable | I. A. Maron |

Higher Algebra | Hall and Knight |

**Check B.Arch Exam Pattern here**

## JEE Main Mathematics Syllabus: Numerical Value Based Questions

**Q1.** Let α and β be two roots of the equation x2+2x+2=0, then α 15+β15 is equal to_____________.

**Ans. **-256

**Q2. **Consider a group of 5 females and 7 males. The number of different teams consisting of 2 females and 3 males, that can be formed from this group, if there are two specific males A and B, who refuse to be the member of the same team, is ________________.

**Ans.** 300

**Q3.** If y = y (x) is the solution of the differential equation x +2y = x2 satisfying y (1) = 1, then 16 y (1/2) is equal to _______.

**Ans.** 49

**Also Read | JEE Advanced Syllabus **