JEE Main Mathematics Syllabus - NTA has released the official syllabus of JEE Main 2020 in online mode on Septemmber 2. Students can find here the Mathematics syllabus for JEE Main 2020 prescribed by the NTA. The JEE Main Mathematics syllabus provided here contains the detailed topic wise information about the subject as is followed by NTA. Students must prepare for the exam only from the prescribed JEE Main Mathematics syllabus as questions are framed within its vicinity. Mathematics, being calculative in nature, requires a special analytical approach towards problem solving. Students are thus advised to prepare a study plan by selecting topics from JEE Main Mathematics syllabus and give sufficient time to problem solving tactics. JEE Main exam has 30 questions from Mathematics, all objective in nature totalling 120 marks. JEE Main will be conducted as computer based test in online mode across various test centres. JEE Main 2020 first attempt was conducted from January 6-9 while second attempt was to be held on April 5, 7, 8, 9 and 11. Students can find more information about JEE Main Mathematics syllabus in the article below.

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JEE Main Mathematics Syllabus

JEE Main Mathematics Syllabus 2020

Students are given below the Mathematics syllabus for JEE Main to prepare for the exam. Students are advised to strictly follow the official syllabus for JEE Main for the preparation of exam.

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.

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Questions related to JEE Main

Showing 94747 out of 94750 Questions
4 Views

my jee score in janaury is 98 percentile in which college i will get seat?

Rishu Gupta 1st Apr, 2020

As per your percentile and previous year cutoff, the colleges you get with this percentile are:-

MNNIT Allahabad

NIT Goa

NIT Rourkela

IIIT Bhubaneshwar

IIIT Surat

IIIT Kota

To know more about your chances of getting other colleges go through the link below:

https://engineering.careers360.com/jee-main-college-predictor

13 Views

sir my jee mains score in janaury is 76 percentile.In which college of engineering may i get a seat?

Rahul ke 1st Apr, 2020
Hello Aspirant, If you got around 76 percentile in JEE Main then your rank after JEE Main April will be around 2.5 lakh, with this rank being General or OBC Category Candidates you will not get NIT but you may get NIT's if you are a SC or ST category Candidate.but you can get admission in some of private colleges being a General or OBC Category Candidate.

Some of the colleges that takes admission on the basis of JEE Mains result

SRM Institute of Science and Technology, Chennai

Lovely professional University, Phagwara

Dr Vishwanath Karad MIT World peace University, Pune

Amity School of Engineering, Coimbatore

Heritage Institute of technology, Kolkata

Chandigarh University, Chandigarh

Manipal University, Jaipur

Nirma University, Ahmedabad
21 Views

sir i got 92 percentile in 2020 jee mains will i get a nit

lubhan cherwoo 1st Apr, 2020
Hi,
Estimating your rank from the formula (100-percentile)xnumber of participants in jee/100
Though it's difficult to get the exact rank but your rank could be around 70k, that can get you admission in

If you are ST/SC category
NIT Jalandhar, NIT Bhopal, MNIT Jaipur,NIT Jamshedpur, NIT Silchar

General Category
lower branches in NIT Manipur,NIT Srinagar and NIT Meghalaya.

OBC Category
NIT Silchar or NIT Durgapu
4 Views

I want to select my catagory as EWS during submission of application form for NIPER JEE 2020 which is going to release from 1st april....for this which session of EWS (2019-2020) or (2020- 2021) is required, as (2019-2020) is valid till 31st march and renew is not possible due to covid-19

Aditi Amrendra Student Expert 1st Apr, 2020
Hello,


In this situation i would suggest you to go with current ews certificate and apply as EWS category candidate and apply for renewal as soon as the lockdown is over.You need to have renewed EWS certificate at the time of document verification which is months away from now.This situation is known to everybody and i am sure the authorities will support students in this situation.

Good Luck
25 Views

sir I belong to St category and I scored 84.83 Percentile in jee mains 2020 January session may I know whether I get admissions in NIT or iiit or gfits .

lubhan cherwoo 1st Apr, 2020
Hi,
It's difficult to calculate your percentage as of now but by using the formula (100-percentile)xtotal students in JEE mains /100.
Using this formula your rank would be around 137k and with that rank these are the colleges you can look into

  • Dr. B R Ambedkar National Institute of Technology, Jalandhar
  • Malaviya National Institute of Technology Jaipur
  • Maulana Azad National Institute of Technology Bhopal
  • Motilal Nehru National Institute of Technology Allahabad
  • National Institute of Technology Agartala
  • National Institute of Technology Calicut
  • National Institute of Technology Durgapur
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