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How to Prepare for IIT JAM Mathematics 2026: Books & Question Papers
Ongoing Event
JAM Application Date:05 Sep' 25 - 12 Oct' 25
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
- IIT JAM 2026 Overview
- IIT JAM Mathematics 2026 Timetable
- IIT JAM Mathematics 2026 Study Material
- IIT JAM Mathematics 2026 Preparation Tips
- IIT JAM Mathematics Previous Year Questions Papers
- IIT JAM Mathematics 2026 Mock Tests
- IIT JAM Mathematics Time Management
- IIT JAM 2025 Mathematics Analysis
- IIT JAM Mathematics 2026 Last Minute Preparation Tips
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 NowUnits | 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 |
|
|
B |
|
|
C |
|
|
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.
Recommended eBooks
Related eBooks & Sample Papers
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 | |
JAM 2024 | |
JAM 2023 | |
JAM 2022 | |
JAM 2021 | |
JAM 2020 | |
JAM 2019 |
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
Calculus: This section focused heavily on differential equations and series convergence, requiring candidates to have a firm grasp of integration techniques and limit properties.
Linear Algebra: Key concepts included vector space properties, matrix operations, and transformations, which appeared frequently in Sections B and C.
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: How many hours should I study daily for the IIT JAM Mathematics?
A:
Aim for 6-8 hours of focused study daily. Quality matters more than quantity - ensure a deep understanding rather than just covering topics superficially.
Q: Should I solve previous year papers topic-wise or year-wise?
A:
Initially, solve topic-wise to strengthen individual concepts. Later, attempt year-wise papers to get exam-like experience and improve time management.
Q: Are the NCERT books sufficient for the IIT JAM 2026 Mathematics?
A:
NCERT books provide a good foundation, but are not sufficient alone. You'll need advanced undergraduate-level books to cover the depth required for IIT JAM.
Q: What is the purpose of IIT JAM 2026?
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 2026?
A:
Below given are 5 steps on how to prepare for JAM Mathematics 2026.
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 2026.
Q: How do I prepare for IIT JAM Mathematics?
A:
Candidates appearing for the upcoming JAM 2026 exam to create a proper study plan for the 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.
Q: How can I ace JAM 2026 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 2026 entrance exam.
Q: From which book should I study to cover Integral Calculus for IIT JAM 2026 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 2026.
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
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Have a question related to JAM ?
Hello,
Yes, you can appear in IIT JAM with 65% in 12th because you don't need 12th marks in IIT JAM. In IIT JAM they need your bachelor's degree, and you must have a minimum aggregate mark of 55% in this degree; then you can appear in IIT JAM. This means overall IIT JAM doesn't need 12th marks; instead, it needs bachelor's degree marks.
I hope it resolves your query!!
Yes, the IIT JAM Mathematics syllabus is mostly the same as what is taught in B.Sc. Mathematics. Core topics like Calculus, Algebra, Differential Equations, and Real Analysis overlap. However, JAM tests deeper understanding and problem-solving skills, often at a higher difficulty level than typical B.Sc. exams. Some topics may also be covered more rigorously or appear in more applied forms. So while the syllabus is similar, focused preparation is needed to match JAM’s level.
Hello
With an IIT JAM rank of 2167 in the General category, top-tier Indian Institutes of Technology such as IIT Delhi, IIT Bombay, IIT Kanpur, and IIT Banaras Hindu University are unlikely options, as their closing ranks are typically in the low hundreds to a few thousands. However, you are still in a good position for several reputable government colleges through both the IIT JAM counselling and the Centralised Counselling for Master of Science and Technology (CCMN) channels.
If you belong to the Scheduled Caste category, you have a strong chance at getting admission to IIT Banaras Hindu University in the Master of Science in Physics program.
If you are in the General category, apply through the Centralised Counselling for Master of Science and Technology to National Institutes of Technology such as NIT Silchar, NIT Srinagar, and others.
You should register for the Centralised Counselling for Master of Science and Technology for admission to National Institutes of Technology and Centrally Funded Technical Institutions, and carefully prioritize your preferences in subjects like Physics, Chemistry, or Mathematics.
You may also explore the Indian Institutes of Science Education and Research option:
If you are interested, register for the IISER Aptitude Test and aim for a rank below approximately 2000.
Keep alternative plans in mind:
Consider reputable National Institutes of Technology in your state or nearby, such as the National Institute of Technology Agartala, National Institute of Technology Nagpur, and similar institutions
Hello aspirant,
Yes you can definitely appear for IIT JAM without mathematics in class 12, as JAM is based on your Bachelor's degree background. It depends on the subject you choose for your bachelor's degree and your graduation. You can also keep checking the IIT JAM eligibility pdf for your target subject.
Hello ma'am
Thankyou for reaching out!
IIT JAM is for Msc.courses which are after a bachelor's degree.Eligiblity for IIT JAM Biotechnology you need a bachelor's degree in Biotechnology,Biology,Life Sciences with atleast 55% marks.
Maths in 12th is not compulsory for Biotechnology you just need a relevant Bachelor's degree to be eligible
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