Image: iit jee mains math subject
Image: iit jee mains math subject

IIT Roorkee recently released the notification for the year 2022 and thus the application process has already been invited. The IIT JEE exam is conducted with different subjects but this article will discuss the Mathematics courses and the exam conducted in the Mathematics subject. The year IIT Roorkee has released the notification, and this is done on a rotational basis every year different IITs and IISc Bangalore releases the notification for admission into various engineering colleges.


The IIT JEE Mathematics exam is going to be conducted on 13th June 2022. If a candidate prepares seriously for the exam from now on then he/she will ace the exam. This is one of the most demanded exams for admission into the Master’s course as it takes you directly to the IITs and the NITs.


This article by Eduriefy will discuss in detail the syllabus of the math subject and how you have to approach each of the sections that are mentioned in the official syllabus of the exam.


The syllabus acts as a roadmap for your exam preparation and there are many other factors associated with this which need to be discussed here in this section itself which will be helpful for the candidates. 


IIT JEE Mathematics Syllabus 2022

The IIT JEE Mathematics Syllabus 2022 is discussed here. The IIT JEE exam is conducted for different subjects and this particular section deals with the Syllabus part. The Syllabus of the exam is as follows:-

Sequences and Series of Real Numbers

  • The sequence of Real Numbers
  • Convergence of Sequences
  • Bounded and Monotone Sequences
  • Convergence criteria for a sequence of real numbers
  • Cauchy Sequences
  • Subsequences
  • Bolzano Weierstrass theorem
  • Series of real numbers
  • Absolute Convergence
  • Tests of Convergence for series of positive terms- Comparison test
  • Ratio Test
  • Root test
  • Leibniz test for convergence of alternating series


Functions of Real Variable

  • Limit
  • Continuity
  • Intermediate Value Property
  • Differentiation
  • Rolle’s Theorem
  • Mean Value Theorem
  • L’Hospital Rule
  • Taylor’s Theorem
  • Maxima and Minima


Functions of Two or Three Are Variables


Integral Calculus

  • Integration as the inverse process of differentiation
  • Definite integrals and their properties
  • Fundamental theorem of calculus
  • Double and Triple integrals
  • Change of order of integration
  • Calculating Surface areas and volumes using double integers
  • Calculating Volumes using triple integrals

Differential Equations

  • Ordinary Differential equations of the first order of the form
  • Bernoulli equation
  • Exact differential equation
  • Integrating Factor 
  • Orthogonal Trajectory
  • Homogeneous Differential equations
  • Variables separable equation
  • Linear differential equations of second order with constant coefficients
  • Method of variation of parameters
  • Cauchy Euler equation


Vector Calculus

  • Scalar and Vector fields
  • Gradient 
  • Divergence 
  • Curl
  • Line integrals
  • Surface Integrals
  • Green
  • Stokes
  • Gauss Theorems


Group Theory

  • Groups
  • Subgroups
  • Abelian Groups
  • Non-Abelian Groups
  • Cyclic Groups
  • Permutations groups
  • Normal Groups
  • Normal Subgroups
  • Lagrange theorem for finite groups
  • Group homomorphisms and basic concepts of quotient groups


To know about the Chemistry syllabus of JEE Advanced, Click Here


Linear Algebra

  • Finite-dimensional Vectors space
  • Linear Independence of vectors
  • Basis
  • Dimension
  • Linear Transformations
  • Matrix representation 
  • Range space
  • Nullspace
  • Rank nullity theorem
  • Rank and inverse of a matrix
  • Determinant 
  • Solutions of systems of linear equations
  • Consistency condition
  • Eigenvalues and eigenvectors for matrices
  • Cayley hamilton theorem


Real Analysis

  • Interior Points 
  • Limit Points
  • Open sets
  • Closed sets
  • Bounded sets
  • Connected sets
  • Compact sets
  • Completeness of R.power series
  • Taylor Series
  • Radius and Interval of convergence
  • Term Wise differentiation
  • Integration of Power series.

IIT JEE Mathematics Exam Pattern 

The exam pattern of the IIT JEE Mathematics can be divided into the following three sections on which we will throw light Separately.


Section A

Events Specifications
Total Number of Questions 30 questions
Total Marks 1 or 2 marks for each question
Negative Marking For one marks question, 1/3rd marks will be deducted and for two marks question 2/3rd marks will be deducted for each wrong answer
Question Types Objective type questions
Mode of Exam Online or Computer Based Test


Section B

Events Specifications
Total Number of Questions 10 marks
Mode of Exam Online Mode
Types of Exam Objective type of exam
Negative Marking 2 marks for each question
Total Marks No negative marking


Section C

Events Specifications
Total Number of Questions 20 questions
Mode of Exam Online Test or Computer Based Test
Types of Questions No options to be given
Negative Marking No negative marking in Section C of IIT JEE(Mathematics)
Total Marks 40 marks or 2 marks for each of the question

The exam pattern can be analyzed and then you can start your preparation for the exam.


To know about the IIT JEE Physics syllabus, click here


Frequently Asked Questions (FAQs)


Question No 1:- How many subjects are there in the IIT JEE Mathematics Syllabus?

Answer:- The syllabus included in the IIT JEE Mathematics is:-

  • Linear Algebra
  • Real Analysis
  • Group Theory
  • Vector Calculus
  • Differential Equation
  • Integral calculus
  • Calculation of one or two variable


Question No 2:- How much time do we need to spend daily for the syllabus to be completed?

Answer:- That depends on your grasping quality. If seen on an average if you devote 5 to 6 hours daily for 5 to 6 months, then you can easily complete the IIT JEE Mathematics Syllabus.


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