Last updated on December 23rd, 2020 at 01:33 pm
JEE Main Mathematics Syllabus is common for all the three papers of JEE Main. NTA has not released the JEE Main Mathematics 2021 syllabus yet. However, the information brochure of JEE Main 2021 has been released. There has been a change in JEE Main exam pattern but the syllabus is expected to remain the same as 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 the print option (Ctrl + P). In addition, we have also suggested some useful books for preparation of JEE Main Mathematics.
- NTA has introduced some changes in the JEE Main 2021 exam pattern. Check here
- JEE Main application forms 2021 can be filled by the applicants from 16th December 2020 to 16th January 2021.
- JEE Main results will be announced by NTA in the first week of March 2021.
JEE Main Mathematics Syllabus – Highlights
- As per the analysis of previous years’ JEE Main exams, it is possible that there will be no change in the JEE Main syllabus.
- 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.
Will JEE Main 2021 Mathematics Syllabus Be Reduced?
Due to the COVID-19 pandemic, the academic year has shifted by a large gap of 5 months or maybe even more. Students have also lost a lot of quality learning due to unavailability of classroom education.
- CBSE reduced the syllabus for 10th and 12th boards to ensure candidates utilise the remaining time period wisely.
- JEE Main syllabus largely includes topics of 11th and 12th combined. However, as per recent updates, NTA will not reduce the JEE Main syllabus but will introduce optional questions in the exam.
- This will help the students whose Class XII syllabus has been reduced by the respective boards.
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
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
- Key Takeaways From Education Minister’s Webinar On JEE Main 2021 Examination
- JEE Main 2021: Live Session With Education Minister Extended To December 10th
- Uttarakhand Government To Provide Free Coaching Classes For JEE Aspirants
- JEE Main 2021: Mr Ramesh Pokhriyal Directs NTA to Draft a Fresh Syllabus
- JEE Main 2021 Delayed Till February, JEE Advanced 2021 Syllabus Being Reviewed
Unit 11: Coordinate 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
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
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|
|Integral and Differential Calculus||30%|
|Sequence and Series||7%|
|Matrices and Determinants||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|
|Binomial Theorem and its simple applications||1|
|Sequences and Series||2|
|Limit, Continuity and Differentiability||4|
|Statistics and Probability||2|
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|
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_____________.
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 ________________.
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 _______.
Answer: NCERT should be treated as the base book for the preparation. However, it is not enough, thus you should also refer to other books like R.D Sharma, M.L. Khanna etc.
Answer: The first session of JEE Main 2021 will be conducted from 23rd February 2021- 26th February 2021.