How to Prepare for IIT JAM Mathematics 2026: Books & Question Papers

How to Prepare for IIT JAM Mathematics 2026: Books & Question Papers

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Updated on 04 Aug 2025, 02:01 PM IST

How to prepare for JAM 2026 for Mathematics: IIT JAM is a key entrance exam for students aiming for master’s and PhD programs at the country’s top colleges. While preparing for this national entrance test can seem tough, with focused effort and regular study, aspirants can easily ace the IIT JAM 2026 exam.

This Story also Contains

  1. IIT JAM 2026 Overview
  2. IIT JAM Mathematics 2026 Timetable
  3. IIT JAM Mathematics 2026 Study Material
  4. IIT JAM Mathematics 2026 Preparation Tips
  5. IIT JAM Mathematics Previous Year Questions Papers
  6. IIT JAM Mathematics 2026 Mock Tests
  7. IIT JAM Mathematics Time Management
  8. IIT JAM 2025 Mathematics Analysis
  9. IIT JAM Mathematics 2026 Last Minute Preparation Tips
How to Prepare for IIT JAM Mathematics 2026: Books & Question Papers
How to Prepare for IIT JAM 2026 Mathematics

This article includes everything you need for IIT JAM preparation and to crack the Mathematics exam, including the full Mathematics syllabus, details on the exam pattern and marking scheme, a comprehensive study timeline, and expert-recommended study material. Through this article, candidates can also gain access to IIT JAM Previous Year Question Papers, IIT JAM Mock Tests, and an IIT JAM analysis for mathematics.

IIT JAM 2026 Overview

IIT JAM 2026 Mathematics is a national exam to get admission in Master's degree programs at top Indian institutes like IITs and IISc.The exam is 3 hours long with 60 questions carrying 100 marks total, split into three parts: multiple choice questions, multiple select questions, and numerical answer questions. This exam is the gateway to entering the M.Sc. Mathematics programs at India's best colleges.

IIT JAM Mathematics 2026 Syllabus

Every mathematical topic in the syllabus is important because questions could come from anywhere. So, make sure you spend adequate time on each topic. Before you even start preparing for the JAM 2026 Mathematics exam, you must read the entire mathematics syllabus carefully. For convenience, we recommend you download the IIT JAM Mathematics syllabus PDF. Given below are the units and their topics covered in the syllabus for Mathematics.

JAM Previous Year Papers
Candidates can download JAM previous year's papers to boost their exam preparation.
Download Now

Units

Topics

Sequences and Series of Real Numbers

Sequences and series of real numbers, Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of favourable terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series


Functions of One Variable


Limit, continuity, differentiation, Rolle’s Theorem, Mean Value Theorem. Taylor's theorem. Maxima and minima.


Functions of Two Real Variables

Limit, continuity, partial derivatives, differentiability, maxima, and minima. Method of Lagrange multipliers, Homogeneous functions, including Euler’s theorem

Integral Calculus

Integration is the inverse process of differentiation, definite integrals and their properties, and the Fundamental Theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications


Differential Equations

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-separable solutions, Linear differential equations of second and higher order with constant coefficients, method of variation of parameters. Cauchy-Euler equation


Vector Calculus

Scalar and vector fields, gradient, divergence, curl, and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green's, Stokes, and Gauss theorems, and their applications


Group Theory

Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms, and basic concepts of quotient groups (only group theory).

Linear Algebra

Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation concerning an ordered basis, Range space and null space, rank-nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, skew-symmetric, hermitian, skew-hermitian, orthogonal and unitary matrices.

Real Analysis

Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series (of real variable), including Taylor’s and Maclaurin’s, domain of convergence, term-wise differentiation and integration of power series


IIT JAM Exam Pattern Overview and Marking Scheme

Before deep diving into studying the mathematical concepts, it is crucial to understand the exam pattern and marks distribution to do focused preparation. Given below is the exam pattern and sectional marking scheme for aspirants to get a grasp of the IIT JAM exam pattern.

Exam

IIT JAM

Exam conducted

IIT

Type of questions

MCQs, MSQs, and NAT

Duration

3 hours

Sections

Sections A, B, and C

Total Marks

100

Total no. of questions

60

Marking scheme for IIT JAM Mathematics:

SECTION

SCORE ALLOCATION

NEGATIVE MARKS

A

  • 1 Mark questions

  • 2 Mark questions

  • -⅓ marks for 1 mark questions

  • -⅔ marks for 2 mark questions

B

  • 2 marks for each question

  • No Negative Marking

C

  • 2 marks for each question

  • No Negative Marking


IIT JAM Mathematics 2026 Timetable

To make sure you cover everything, create a timetable that gives all topics and units in the syllabus adequate attention. Use this schedule for your initial months of study to get through the entire IIT JAM 2026 syllabus. As the exam gets closer, in the last few months, change your timetable to focus heavily on revision and solving sample papers. Following this plan carefully is key, as any slips could impact your performance. A well-followed schedule will help you cover all the topics and set aside time for reviewing.

IIT JAM Mathematics 2026 Study Material

Candidates preparing for IIT JAM 2026 are advised to go through these study materials for IIT JAM Mathematics. Study materials for IIT JAM 2026 come in various forms, such as books, journals, and online resources. Here is a list of the best books for IIT JAM Mathematics for the convenience of the candidates.

Topics

Books

Functions of One Variable

Mathematical Analysis - S.C. Malik

Mathematical Analysis – Apostol

Principles of Mathematical Analysis - Rudin

Functions of Two Real Variables


Integral Calculus

Mathematical Analysis - H.C. Malik

Calculus - Thomas & Finney

Integral Calculus- Gorakh Prasad

Vector Calculus

Geometry & Vectors – Vasishtha

Calculus – Thomas & Finney

Differential Equations

Ordinary Differential Equations - Earl.A.Coddington

Elementary Differential Equations and Boundary Value Problems - Boyce-Diprima

Ordinary Differential Equation - Peter J. Collins, G.F. Simmons, M.D. Raisinghania

Real Analysis

Real Analysis – H. L. Royden

Linear Algebra

Schaum's Series

Gilbert Strang – Linear Algebra & its Applications

Modern Algebra – A.R. Vasishtha

University Algebra – N.S. Gopalakrishnan


IIT JAM Mathematics 2026 Preparation Tips

Candidates who are preparing for the IIT JAM Mathematics exam must know that scoring well in the IIT JAM Math requires a well-structured approach to excel in this JAM entrance exam. Candidates are advised to follow these tips for a better IIT JAM Mathematics preparation:

  • Understand the Syllabus: Begin by thoroughly understanding the IIT JAM mathematics syllabus. It's crucial to know what topics are covered to create a focused JAM study plan.

  • Study Material: Candidates are advised to use the recommended textbooks and study materials. Some popular choices include books by renowned authors and IIT JAM previous years' question papers.

  • Time Management: Create a study schedule that allocates sufficient time to each subject and topic. It is needless to say that consistency is key.

  • Practice Regularly: Mathematics is a subject that requires practice. Solve a variety of problems from different topics to improve problem-solving skills.

  • Mock Tests: Take regular mock tests to get a feel for the actual IIT JAM 2026 exam pattern and time constraints. It helps in improving speed and accuracy.

  • Concept Clarity: Focus on understanding the underlying concepts rather than rote learning. Clear concepts make problem-solving more efficient.

  • Seek Guidance: If you face difficulties, don't hesitate to seek guidance from professors, mentors, or join coaching classes.

  • Stay Healthy: Maintain a balanced lifestyle with proper nutrition and sleep. A healthy body supports a sharp mind.

  • Stay Updated: Keep yourself updated with any changes in the exam pattern or syllabus.

  • Stay Positive: Maintain a positive attitude and self-belief throughout your preparation. Remember, consistent and focused preparation is the key to success in the IIT JAM mathematics exam.

IIT JAM Mathematics Previous Year Questions Papers

Solving previous year's question papers for JAM 2026 can help candidates get an idea of the actual question paper. The IIT JAM papers contain the questions that are important and repeated over the years. There are some unique questions in this set that may have been overlooked by candidates during their study and revision. JAM previous year papers allow candidates to check their level of preparation for the actual exam. Furthermore, they will be able to notice their mistakes so they can focus on subjects that need more attention. Given below are some IIT JAM Mathematics Previous Year Papers for you to download and practice.

Year

Question Papers

JAM 2025

Download Now

JAM 2024

Download Now

JAM 2023

Download Now

JAM 2022

Download Now

JAM 2021

Download Now

JAM 2020

Download Now

JAM 2019

Download Now


IIT JAM Mathematics 2026 Mock Tests

Candidates can benefit significantly from taking IIT JAM mock tests. The official website provides mock tests for candidates to practice. Candidates must take as many mock tests as possible to reach their full potential. Candidates will understand how to proceed in the exam by practising through JAM 2026 Mock tests. This will boost their confidence as well. JAM 2026 mock tests will also help you manage your time efficiently on test day, thereby making the whole process much easier for you.

IIT JAM Mathematics Time Management

Time management is crucial when preparing for subjects like Mathematics for the IIT JAM 2026. You’ll need to carefully divide your time to cover the extensive syllabus. Make sure each topic gets the right amount of attention based on how complex it is and how easy it is to master. This practice during your preparation will teach you vital time management skills that will also help you during the actual exam.

Besides creating a timetable, solving sample papers and previous year’s question papers is key. These will help you assess your preparation level. As you study, write down important points and concepts. Taking notes will help you retain what you study much more effectively.

IIT JAM 2025 Mathematics Analysis

  • The IIT JAM 2025 Mathematics paper followed the same format as previous years.

  • The paper was calculation-heavy, requiring candidates to perform focused calculations throughout the exam.

  • According to initial feedback, the paper was slightly easier than the previous year but still lengthy and time-consuming.

  • The paper included a question on relations and functions based on set homomorphism.

  • A notable change this year was the inclusion of real analysis-based questions in the differential equations section.

  • Candidates found that the one-mark questions were the easiest.

Memory-Based Questions

Given below are some memory-based questions from the past year IIT JAM Mathematics paper to help candidates get an idea of what to expect in future attempts.

1. Let G be a group of order 39 such that it has exactly one subgroup of order 3 and exactly one subgroup of order 13. Then, which one of the following statements is TRUE?

(A) G is necessarily cyclic
(B) G is abelian but need not be cyclic
(C) G need not be abelian
(D) G has 13 elements of order 13

2. Which one of the following is TRUE for the symmetric group S13?

(A) S13 has an element of order 42
(B) S13 has no element of order 35
(C) S13 has an element of order 27
(D) S13 has no element of order 60

3. Which one of the following is TRUE for the symmetric group S13?

(A) S13 has an element of order 42
(B) S13 has no element of order 35
(C) S13 has an element of order 27
(D) S13 has no element of order 60

4. Which one of the following groups has elements of order 1, 2, 3, 4, 5 but does not have an element of order greater than or equal to 6?

(A) The alternating group A6
(B) The alternating group A5
(C) S6
(D) S5

5. Which of the following statements is/are TRUE?

(A) The additive group of real numbers is isomorphic to the multiplicative group of positive real numbers.
(B) The multiplicative group of nonzero real numbers is isomorphic to the multiplicative group of nonzero complex numbers.
(C) The additive group of real numbers is isomorphic to the multiplicative group of nonzero complex numbers.
(D) The additive group of real numbers is isomorphic to the additive group of rational numbers.

Topic-Wise Weightage

Below is the topic-wise weightage for aspirants to understand which topics need more focus from an examination point of view.

Topic

Number of Questions

Key Focus Areas

Calculus

10

Differential equations, series, and limits

Linear Algebra

8

Eigenvalues, vector spaces

Real Analysis

7

Convergence, continuity

Group Theory

6

Group actions, isomorphisms

Differential Equations

6

Exact equations, boundary problems

Complex Analysis

3

Cauchy’s integral, residue theorem

Probability and Statistics

4

Distributions, expected value

High Weightage Topics

  1. Calculus: This section focused heavily on differential equations and series convergence, requiring candidates to have a firm grasp of integration techniques and limit properties.

  2. Linear Algebra: Key concepts included vector space properties, matrix operations, and transformations, which appeared frequently in Sections B and C.

  3. Group Theory: Questions emphasised Sylow's theorems, subgroup properties, and cyclic group characterisation, reflecting the importance of abstract algebra.

Overall Difficulty Level

Understanding the overall difficulty level from previous years is helpful during preparation, as it will allow you to practice in a more focused manner.

Section

Difficulty Level

Section A (1 mark questions)

Moderate – Tested basic concepts but required quick recall of fundamental results.

Section B (2 mark questions)

Challenging – Demanded advanced understanding and integration of multiple concepts.

Section C (Numerical Answer Type)

Moderate to Difficult

The paper had a moderate to high difficulty level. While the theoretical questions tested conceptual clarity, the numerical problems required precise calculations. Specific topics like Real Analysis and Differential Equations were relatively more challenging compared to previous years.

IIT JAM Mathematics 2026 Last Minute Preparation Tips

As the IIT JAM Mathematics 2026 exam approaches, the final weeks become crucial for consolidating your preparation and maximising your performance. This is not the time for learning new concepts or diving into complex topics you haven't touched before. Instead:

  • Create concise formula cards for each topic and review them every morning and evening.

  • Focus on papers from the last 5 years to understand current exam trends and question patterns.

  • Spend 15-20 minutes daily on quick arithmetic to improve calculation speed during the exam.

  • Go through all errors made during practice tests and ensure you don't repeat them.

  • Prioritise Calculus, Linear Algebra, and Real Analysis as they carry the maximum marks.

Frequently Asked Questions (FAQs)

Q: Does IIT JAM Mathematics have Negative Marks?
A:

Yes, there is a negative mark for IIT jam mathematics for one mark there is a negative of -⅓ and for 2 marks there is -⅔   

Q: How can I ace JAM 2025 without taking coaching classes?
A:

All you need to do is know the syllabus, exam pattern, create an effective and strategic practicing timetable, and vigorous practicing from mock tests and sample papers to score well in the JAM 2025 entrance exam.

Q: From which book should I study to cover Integral Calculus for IIT JAM 2025 Mathematics?
A:

You should go through the Mathematical Analysis - H.C. Malik, Calculus - Thomas & Finny, Integral Calculus- Gorakh Prasad to cover Integral Calculus for IIT JAM 2025.

Q: What is the purpose of IIT JAM 2025?
A:

The IIT JAM entrance exam is conducted to allow the candidates take admissions into various M.Sc/PhD programmes into the IITs.

Q: How can I prepare for IIT JAM Mathematics 2025?
A:

Below given are 5 steps on how to prepare for JAM Mathematics 2025.

  • Know the IIT JAM Mathematics syllabus

  • Know the IIT JAM Mathematics exam pattern

  • Practice from the IIT JAM Mathematics mock tests

  • Practice from the IIT JAM Mathematics sample papers

  • Practice from the IIT JAM Mathematics books recommended

Q: Is IIT JAM Mathematics hard?
A:

The Mathematics exam in IIT JAM entrance is of moderate difficulty. With proper preparation it is manageable to score well in JAM Maths examination 2025.

Q: How do I prepare for IIT JAM Mathematics?
A:

Candidates appearing for the upcoming JAM 2025 exam to create a proper study plan for the IIT JAM 2025 exam, followed by practicing JAM mock tests regularly. It is crucial to understand the time management and learn to utilise all the useful resources. The IIT JAM exam preparation will not be complete without practisising JAM previous year question papers.

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Questions related to JAM

On Question asked by student community

Have a question related to JAM ?

Hello,

For the IIT JAM (Joint Admission Test for M.Sc.) exam, you need to provide a Central EWS (Economically Weaker Section) certificate.

The IITs (Indian Institutes of Technology) and other central institutions require a central format of the EWS certificate issued by a competent authority as per the guidelines set by the Government of India. State EWS certificates are generally not accepted unless explicitly specified in the application guidelines.

Make sure that your EWS certificate is up-to-date and issued by the designated authority, such as a Sub-Divisional Officer (SDO), Tehsildar, or similar, as prescribed by the central government.

Hope it helps !

Hello Aspirant,
To gain admission into an MSc Neuroscience program in India, particularly at institutions like IITs (Indian Institutes of Technology), you generally need to follow these steps:

Understand the Requirements:Bachelors Degree, Most MSc Neuroscience programs require a bachelor's degree in a relevant field, such as Biology, Biotechnology, Neuroscience, Medicine, or related disciplines.

Minimum Marks: You need to meet the minimum percentage or CGPA requirement, usually around 55-60% or equivalent.

Qualifying Exams: IIT JAM (Joint Admission Test for MSc):
IIT JAM is a national-level entrance exam that offers admission to MSc programs, including those related to Biotechnology, which can lead to interdisciplinary specializations like Neuroscience in some IITs.
Preparation: Focus on subjects like Biology, Biotechnology, Chemistry, and related topics as per the JAM Biotechnology syllabus.

Application: Apply for the exam through the official IIT JAM website when the application window opens.
Exam Pattern: The exam usually consists of multiple-choice questions, multiple select questions, and numerical answer-type questions.

Application Process:
Choose IITs: After qualifying for IIT JAM, you can apply to various IITs for MSc programs related to Neuroscience or allied fields.
Counseling : Based on your JAM score, participate in the counseling process where you can choose your preferred IIT and program.

Interview (If Required): Some IITs might require an additional interview or written test, especially if youre applying for an interdisciplinary course like Neuroscience.


Admission:After the counseling and interview process, if selected, youll receive an offer of admission. Youll then need to complete the enrollment formalities.
Stay Updated: Regularly check the official IIT JAM website and the specific IIT department pages for updates on the application process, deadlines, and any changes in admission criteria.

By following these steps and ensuring thorough preparation, you can improve your chances of gaining admission into an MSc Neuroscience program in India.

Hello

IIT JAM Biotechnology can be a gateway to various MSc programs, but its relevance to MSc Neuroscience depends on the specific program and institution . Some institutions may accept IIT JAM Biotechnology scores for MSc Neuroscience, while others may require specific test scores or have different eligibility criteria. To determine your chances, research the specific requirements for MSc Neuroscience programs you're interested in and reach out to the institutions directly for clarification.

Yes you can sit in the JAM EXAM as long as you have completed your Bachelor's degree by the time of admission.there is no problem if you have active backlog at the time of giving exam they just evaluate candidates on the basis of their marks in IIT JAM.you just need to submit your provisional documents at the time of admission and request them you will submit the marksheet after it gets declared as soon as possible.ALSO,You should have a valid Bachelor's degree in the relevant subject area by the time of admission to the M.Sc. program.

Hello,

As a BDS (Bachelor of Dental Surgery) graduate with 2 years of experience, you may have some eligibility considerations for IIT JAM and CSIR-NET. Here’s an overview of each and their relevance to your background:

IIT JAM (Joint Admission Test for M.Sc.)

  • Eligibility:

    • Educational Qualification: Typically, IIT JAM is designed for students with a background in science subjects like Physics, Chemistry, Mathematics, and Biology. It is primarily for admission to M.Sc. programs and other post-graduate programs in science at IITs and other participating institutions.
    • Graduation Degree: A BDS degree, being a professional degree in the field of dentistry, generally does not align with the typical science-based eligibility criteria for IIT JAM.
  • Relevance:

    • Given that IIT JAM focuses on science disciplines and your background is in dentistry, it might not be the most relevant option for you.

CSIR-NET (Council of Scientific and Industrial Research - National Eligibility Test)

  • Eligibility:

    • Educational Qualification: CSIR-NET is aimed at candidates with a background in science for eligibility in junior research fellowships (JRF) and lectureship positions. Common fields include Life Sciences, Chemical Sciences, Earth Sciences, Mathematical Sciences, and Physical Sciences.
    • Graduation Degree: A BDS degree is not typically listed among the standard qualifications for CSIR-NET. However, if you have a strong interest in life sciences or a related field and have pursued additional qualifications or research in that area, it could be worth exploring.
  • Relevance:

    • While CSIR-NET primarily targets candidates with degrees in traditional science disciplines, if you have a keen interest in life sciences or related research areas, you might consider it. Additional coursework or research experience in relevant areas would be beneficial.

Which is Better for You?

  • CSIR-NET might be more relevant if you are interested in research or academic positions in scientific fields and have additional qualifications or research experience in a relevant area. If you’re considering a shift to a research or academic career in science, CSIR-NET could be a viable option.

  • IIT JAM would generally be less applicable given your background, as it is focused on science graduates and is more suited to those pursuing M.Sc. programs in scientific disciplines.


Hope it helps you!