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JEE Main 2021 Mathematics Syllabus - JEE Main Mathematics Syllabus (Released), Check and Download PDF, Check at jeemain.nta.nic.in

JEE Main 2021 Mathematics Syllabus - NTA has declared the JEE Main Mathematics Syllabus 2021 at jeemain.nta.nic.in the form of PDF. Candidates are advised to scroll down the page to know all the necessary details regarding JEE Main 2021 Mathematics Syllabus and the entrance exam. JEE Main 2021 Mathematics Syllabus for the JEE Main 2021 entrance exam has been framed in a systematic manner to help the students score well in the Exams. Keep checking this page for JEE Main 2021 Mathematics Syllabus and other details.

Bhavani Asok | Updated: May 05, 2021, 20:11 IST

JEE Main 2021 Mathematics Syllabus - JEE Main Mathematics Syllabus (Released), Check and Download PDF, Check at jeemain.nta.nic.in

JEE Main 2021 Mathematics Syllabus - JEE Main Mathematics Syllabus (Released), Check and Download PDF, Check at jeemain.nta.nic.in

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JEE Main 2021 Mathematics Syllabus

Candidates are advised to scroll down the page to know all the necessary details regarding JEE Main 2021 Mathematics Syllabus. For better training, candidates taking the JEE Main 2021 Mathematics Exam 2021 can review the exam pattern and JEE Main 2021 Mathematics Syllabus. Candidates will be able to decide the total number of questions, type of questions, number of sections, and marking scheme by using the JEE Main 2021 Mathematics Exam pattern 2021, while the JEE Main 2021 Mathematics Syllabus will assist them in ensuring that they have covered all topics. JEE Main 2021 Mathematics Syllabus has been provided in the PDF format. All aspirants need to understand the JEE Main 2021 Mathematics Syllabus and question paper pattern to some extent. Candidates should prepare well for the JEE Main 2021 Mathematics exam to score good marks.

Check Here - JEE Main 2021 Mathematics Syllabus


JEE Main 2021 Mathematics Syllabus

S.No.

Units

Topics

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,

2

Complex Numbers 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. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots.

3

Matrices and Determinants

Matrices, algebra of matrices, types 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 simultaneous linear equations in two or three variables using determinants and matrices.

4

Permutations And Combinations

Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications.

5

Mathematical Induction

Principle of Mathematical Induction and its simple applications.

6

Binomial Theorem and its Simple Applications

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

7

Sequences and Series

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico-Geometric progression.

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 upto 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.

9

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.

10

Differential Equations

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

11

Co-ordinate Geometry

Cartesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, 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, 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 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 end points 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.

12

Three Dimensional Geometry

Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, 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, intersection of a line and a plane, coplanar lines.

13

Vector Algebra

Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.

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.

15

Trigonometry

Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances

16

Mathematical Reasoning

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

JEE Main 2021 Mathematics Exam Pattern

Mode of Examination Online
Total Number of Questions in Mathematics 30
Total Number of Questions to be Attempted 25
Type of Questions MCQ and Non-MCQs
Marking Scheme Correct Answer: +4
Negative Marking Incorrect Answer: -1 & No Negative Marking for Non-MCQs
Medium of Paper English, Hindi, Gujarati

JEE Main 2021 Mathematics Marking Scheme

Overall Marking Scheme

Subjects Maximum Questions Maximum Marks
Physics 30 100
Chemistry 30 100
Mathematics 30 100
Total 90 questions 300 marks

Per Question Marking Scheme

Type of question Negative marking for wrong answer Marking for correct answer
MCQs -1 Mark +4 Marks
Numeric Value Questions No negative marking +4 Marks

Weightage of Topics in JEE Main 2021 Mathematics

pattern.

Topics No of Questions Weightage of Marks
Matrices and Determinants 2 8
Vector Algebra 2 8
Three Dimensional Geometry 2 8
Complex numbers and Quadratic Equation 2 8
Limits, Continuity, and Differentiability 3 12
Integral Calculus 3 12
Coordinate Geometry 5 20
Trigonometry 1 4
Statics and Dynamics 1 4
Statistics and Probability 2 8
Sets, Relation, and Function 1 4
Sequences and Series 1 4
Binomial Theorem and Its Application 1 4
Differential Equation 1 4
Differential Calculus 1 4
Permutations and Combinations 1 4
Mathematical Reasoning 1 4
Total 30 120
Disclaimer: The above information is for general informational purposes only. All information on the Site is provided in good faith, however we make no representation or warranty of any kind, express or implied, regarding the accuracy, adequacy, validity, reliability, availability or completeness of any information on the Site.
Tags: , Syllabus 2021, Syllabus, 2021 Syllabus, Syllabus of 2021

Syllabus 2021 - FAQ

1. Who has released the JEE Main 2021 Mathematics Syllabus?

NTA has released the JEE Main 2021 Mathematics Syllabus

2. Is there negative marking for Non-MCQs in the JEE Main 2021 Mathematics Exam?

There is no negative marking for Non-MCQs in the JEE Main 2021 Mathematics Exam.

3. What is medium of JEE Main 2021 Mathematics Exam?

The medium of JEE Main 2021 Mathematics Exam is English, Hindi, Gujarati.

4. What is the question type followed in JEE Main 2021 Mathematics Exam?

JEE Main 2021 Mathematics Exam has 30 questions. 20 will be MCQ type, and remaining 10 questions will be of Numeric Value Type. Students have a choice to attempt 5 out of 10 numeric value-based questions.

5. Where to check JEE Main 2021 Mathematics Syllabus?

Candidates can check JEE Main 2021 Mathematics Syllabus PDF from the article.

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