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 JEE Main 2021 Mathematics Syllabus
JEE Main 2021 Mathematics Syllabus  JEE Main Mathematics Syllabus (Released), Check and Download PDF, Check at jeemain.nta.nic.in
Bhavani Asok  Updated: May 05, 2021, 20:11 IST
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;, oneone, 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 coefficients, 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. ArithmeticoGeometric 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 
Coordinate Geometry 
Cartesian system of rectangular coordinates 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 threedimensional 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 NonMCQs 
Marking Scheme  Correct Answer: +4 
Negative Marking  Incorrect Answer: 1 & No Negative Marking for NonMCQs 
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 
Syllabus 2021  FAQ
NTA has released the JEE Main 2021 Mathematics Syllabus
There is no negative marking for NonMCQs in the JEE Main 2021 Mathematics Exam.
The medium of JEE Main 2021 Mathematics Exam is English, Hindi, Gujarati.
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 valuebased questions.
Candidates can check JEE Main 2021 Mathematics Syllabus PDF from the article.