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IIT JAM Mathematics Syllabus 2022: Section-wise Syllabus, Important Topics, Preparation Tips, and Books

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Nikkil Visha

Exams Prep Master | Updated On - Sep 8, 2021

IIT JAM Mathematics Syllabus 2022 will not have any changes. It covers various topics that are completely different from each other like integral calculus, linear algebra, etc.   A candidate who wants to opt for M. Sc in Mathematics offered by IIT can download IIT JAM Syllabus for Mathematics from the official website of IIT JAM. The mathematics syllabus has been set and released by the conducting body based on the topics of graduation level. 

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Before going to the syllabus in detail, the candidate must know the structure of the paper and marking scheme as it will be helpful to evaluate the syllabus and prepare accordingly. There are 3 sections i.e “A”, “B” and “C” that contains 60 MCQs of 100 marks. Check: IIT JAM 2022 Syllabus 

Read the compelete article to know more about IIT JAM Syllabus Mathematics Syllabus, Exam Pattern, Preparation tips.

Mathematics Syllabus

IIT JAM Syllabus 2022 for Mathematics

The candidate will have to cover all the topics from each section of the syllabus to compete and get a high score in the entrance examination easily. The detailed Mathematics syllabus of IIT JAM is mentioned below in a table. 

Topic Subtopic
Sequences and Series of Real Numbers All the areas covered in this topic are Sequence of real numbers, the convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers. Apart from that, there are Cauchy sequences and sub-sequences, Bolzano-Weierstrass theorem. Also, there are Series of real numbers, absolute convergence, tests of convergence for series of positive terms that includes comparison test, ratio test, root test and also Leibniz test for convergence of alternating series, etc.
Differential Equations Under this section all the areas are Ordinary differential equations of the first order of the form y'=f (x,y), Bernoulli’s equation, exact differential equations, integrating factor, orthogonal trajectories, homogeneous differential equations. There are also includes variable separable equations along with linear differential equations that are only for second order with constant coefficients. And also, the Method of variation of parameters, Cauchy-Euler equation is there.
Integral Calculus This section includes details on Integration that defines as the inverse process of differentiation along with definite integrals, and all the properties with the fundamental theorem of calculus. Besides that, there are Double and triple integrals, details on change of order of integration, the process to calculate surface areas and volumes with the help of double integrals and also includes calculating volumes with the help of triple integrals.
Linear Algebra All the areas that falls in this section are Finite dimensional vector spaces along with linear independence of vectors, its basis and dimension, linear transformations, details on matrix representation and also range space with null space, concepts on rank-nullity theorem. It also covers Rank and inverse of a matrix, determinant and all the solutions of linear equation’s systems. On the contrary there are consistency conditions along with eigenvalues, and also eigenvectors for matrices, Cayley-Hamilton theorem, etc in this section.
Mathematics Exam Pattern

IIT JAM 2022 Mathematics Exam Pattern

IIT JAM 2022 exam pattern for Mathematics is given below, the following table is based on previous year Paper Pattern.

Particulars Details
Duration of the Exam 3 hrs
Number of Questions 60 Questions
Total Sections 3 (Section A, B and C)
Types of Questions
  • Multiple Choice Questions (MCQs)
  • Multiple Select Questions (MSQs) 
  • Numerical Answerable Type Questions (NAT) 
Negative Marking Only for Section A
Total Marks 100

Section Wise Break up of Marks and Questions

Section No. of Questions Marks per Question Total Marks Negative Marking
Section A 10 1 10 ⅓ 
20 2 40 ⅔ 
Section B 10 2 20 Not Applicable
Section C 10 1 10 Not Applicable
10 2 20
60 100
Mathematics Topics Weightage

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Weightage of IIT JAM Mathematics Topics

Based on the paper analysis of previous years the important topics, with their weightage are tabulated below:

Topic Weightage
Real Analysis 21%
Calculus of Single Variable 18%
Linear Algebra 14%
Calculus of Two Variables 14%
Vector Calculus 12%
Differential Equation 11%
Abstract Algebra 10%

Download IIT JAM Practice Papers

IIT JAM Mathematics Books for 2022 Preparation

Here we bring a list of books for IIT JAM 2022 Mathematics paper. These books will guide the candidates to prepare better for this section.

Topic Author
Ordinary Differential Equation Peter J. Collins, G.F. Simmons, M.D. Raisinghania.
Real Analysis H. L. Royden.
Principles of Real Analysis S. C. Malik.
Linear Algebra Seymour Lipschitz (Schaum’s), H. Anton, A.R.Vasishtha.
Modern Algebra A. R. Vasishtha 8. University Algebra: N. S. Gopalakrishan.
Integral Calculus F. Ayres (Schaum’s), Gorakh Prasad
Vector Calculus Murray R. Spiegel (Schaum’s), A.R.Vasishtha
Some Tips for Mathematics

What are Some Tips to Prepare IIT JAM Syllabus for Mathematics?

To start preparation for IIT JAM Syllabus for Mathematics, the candidate needs to take an effective way and also follow some tips to score higher than the average marks. As per the survey, Mathematics in IIT JAM is one of the most scoring subjects. Below are some tips for the subject of Mathematics.

  • Candidate should make a list of all the topics and point out the specific section in which they are weak and also need to concentrate on those topics.
  • Candidate need to solve all the questions from at least two chapters per day
  • It is required for all the candidates to make a timetable to complete all the sections from IIT JAM Syllabus for Mathematics and must follow this on regular basis.
  • To enhance the speed and boost up confidence, the candidate should solve all the questions from the previous year
  • Giving mock tests as many times as possible per week will help the candidate to know their ability or understand where they can stand and that will lead to improvement.
  • Last but not least, practice is the best way to ace the examination and helps to get maximum score especially in Mathematics.

Read More IIT JAM Preparation Tips 

Mathematics Syllabus FAQ

IIT JAM Syllabus for Mathematics 2022 FAQ

Ques. What books can I follow to practice Vector Calculus from IIT JAM Syllabus for Mathematics?

Ans. Some books to practice Vector Calculus from IIT JAM Syllabus for Mathematics are as follows.

  • Geometry & Vectors written by Vasishtha
  • Calculus written by Thomas & Finny

Ques. What are the areas that I need to practice from Group Theory under IIT JAM Syllabus for Mathematics?

Ans. From the section Group Theory, you can practice Abelian as well as non-abelian groups, details on permutation groups and also Lagrange's Theorem only for finite groups, must have a primary idea on quotient groups, etc.

Ques. Do I need to concentrate only on the important topics from IIT JAM Syllabus for Mathematics?

Ans. It is good to practice all the sections from the syllabus for high marks, and so, you need to concentrate on all the topics in Mathematics as this is the scoring subject.

Ques. Shall I need to cover Real Analysis from IIT JAM Syllabus for Mathematics?

Ans. Yes, you will have to cover this section from the syllabus. Many topics that can come in the entrance examination are interior points and limit points, different kinds of sets, R. Power series that contains a real variable, Apart from that, Taylor’s series, radius and interval of convergence, integration of power series, etc.

Ques. How much time do I need to invest in the syllabus of Mathematics in IIT JAM?

Ans. As this is the scoring subject, so, you need to give a large amount of time to solve and practice all the topics from this syllabus.

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.


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