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How to prepare for JAM 2025 for Mathematics - IIT JAM is a national-level examination, conducted for Postgraduate and PhD admission so preparing for IIT JAM can be overwhelming, however, it is possible through conviction and consistent learning, so the candidates should efficiently prepare for the for IIT JAM Mathematics 2025. IIT JAM 2025 Exam will be conducted on 02nd February 2025 on a Sunday. You can find the syllabus for IIT JAM 2025 on the syllabus of JAM 2025. Candidates who are preparing should dedicate their time to each topic and then divide it into subtopics to create a goal for every week to complete, So this article will help students to navigate their preparation for IIT JAM 2025 efficiently.
Mathematical topics are important because no one knows where the questions will come from. Therefore, candidates should make sure they devote enough time to each topic. Candidates must thoroughly read the syllabus of Mathematics before starting to prepare for the JAM 2025 Mathematics exam. Candidates are advised to download the IIT JAM syllabus Mathematics PDF for convenience.
Here is an exam pattern overview for IIT JAM Mathematics:
Exam | IIT JAM |
Exam conducted | IIT Delhi |
Type of questions | MCQs, MSQs and NAT |
Duration | 3 hours |
Sections | Section A, B and C |
Total Marks | 100 |
Total no of questions | 60 |
SECTION | SCORE ALLOCATION | NEGATIVE MARKS |
A |
|
|
B |
|
|
C |
|
|
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 positive terms – comparison test, ratio test, root test; Leibnitz 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 as the inverse process of differentiation, definite integrals and their properties, 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 with respect to 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 |
Time tables should be created so that all topics and units on the syllabus get equal and adequate attention. To cover all the topics mentioned in JAM 2025’s syllabus, this time-table should be used for the first few months. In the last few months, the candidates should rearrange the timetable in order to fit in more time for revision and practice by solving sample papers. As a result, candidates should strictly follow this schedule as any carelessness could prove to be fatal. Using this schedule, the candidates will also be able to cover all the topics and save some time for revision.
Candidates preparing for JAM 2025 are advised to go through these study materials for IIT JAM Mathematics. Study materials for IIT JAM 2025 come in various forms such as books, journals and online resources. Here are a list of the best book for IIT JAM Mathematics for the convenience of the candidates.
Topics | Books |
Functions of One Variable | Mathematical Analysis - S.C. Malik Mathematical Analysis – Apostol Principle of Mathematical Analysis - Rudi |
Functions of Two Real Variables | |
Integral Calculus | Mathematical Analysis - H.C. Malik Calculus - Thomas & Finny Integral Calculus- Gorakh Prasad |
Vector Calculus | Geometry & Vectors – Vasishtha Calculus – Thomas & Finny |
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 |
Candidates who are preparing for the IIT JAM Mathematics exam must know that scoring well in 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 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 2025 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.
Solving previous year's sample papers for JAM 2025 can help candidates get an idea of the actual question paper. The IIT JAM sample 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 2025 sample 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.
Year | Sample Papers |
JAM 2024 | |
JAM 2023 | |
JAM 2022 | |
JAM 2021 | |
JAM 2020 | |
JAM 2019 | |
JAM 2018 | |
JAM 2017 | |
JAM 2016 | |
JAM 2015 | |
JAM 2014 | |
JAM 2013 |
Candidates can benefit greatly from taking IIT JAM mock tests. The official website provides mock tests for candidates to practice. It is imperative that candidates take as many mock tests as possible to reach their full potential. Candidates will understand how to proceed in the exam by practicing through JAM 2024 Mock tests. This will boost their confidence as well. JAM 2025 mock tests will also help you manage your time efficiently on test day, thereby making the whole process much easier for you.
Time management is a very important factor when preparing for subjects such as mathematics for IIT JAM 2025. It is very important for candidates to allocate their time carefully in order to cover such a vast syllabus. Each topic should be given the appropriate amount of time according to its complexity and how easy it is to complete. Thus, during the preparation period, the candidates are able to learn how to manage time, which will help them during the examination as well. Apart from setting a timetable, solving sample papers and previous year's question papers will also help students understand how much preparation they have done and what they need to do to pass the test. Because candidates have the same material in writing, they can take notes on important points to remember them. Writing down the important concepts instead of learning them directly from the textbook will help in retaining them.
The IIT JAM 2024 Mathematics paper featured a diverse set of questions across various mathematical disciplines. The paper was divided into three sections, each containing multiple-choice and numerical-answer type questions, with varying weightage. The exam tested conceptual understanding, computational skills, and problem-solving abilities.
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 | 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 |
Calculus: This section focused heavily on differential equations and series convergence, requiring candidates to have a strong 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 emphasized Sylow theorems, subgroup properties, and cyclic group characterization, reflecting the importance of abstract algebra.
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 – Prec |
The paper had a moderate to high difficulty level. While the theoretical questions tested conceptual clarity, the numerical problems required precise calculations. Certain topics like Real Analysis and Differential Equations were relatively more challenging compared to previous years.
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
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.
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.
The IIT JAM entrance exam is conducted to allow the candidates take admissions into various M.Sc/PhD programmes into the IITs.
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
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.
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.
Congratulations on securing such a phenomenal rank...!!!
With 28.33 marks and AIR 1269 in JAM you have reasonable chance of securing admission in NITs and IISERs such as NIT Trichy, NIT Warangal , IISERs and NIT Surathkal.
To check if your rank of 2224 in JAM 2025 Math (GEN) is good enough for an NIT, it's important to look at the previous years' cutoffs and trends for Mathematics in various NITs. Generally, a rank like 2224 could allow admission to some NITs, especially in specific categories, but the chances depend heavily on the specific NIT and the course demand.
I would recommend checking the detailed JAM 2025 cutoff trends for Mathematics on the Careers360 website or consulting their JAM College Predictor to get a more precise idea based on recent data.
Hello,
To prepare for the IIT JAM Geology 2026 entrance exam , consider the following resources:
Comprehensive Guides :
Subject-Specific Books :
Practice Materials :
These resources will help you build a strong foundation and enhance your problem-solving skills for the exam.
Hope you find it useful !
The IIT JAM (Joint Admission Test for Masters) is held annually for admission to postgraduate science programs at IITs, IISc, and other top institutes. The exam includes seven subjects: Physics, Chemistry, Mathematics, Mathematical Statistics, Biotechnology, Geology, and Economics.
The official syllabus for IIT JAM 2026 hasn't been released yet, but it generally stays the same each year. Based on IIT JAM 2025, here’s a rough idea of what to expect:
Physics
Mathematical Methods
Mechanics, Waves, and Optics
Electricity & Magnetism
Thermodynamics & Statistical Physics
Modern Physics & Solid-State Physics
Chemistry
Physical, Inorganic, and Organic Chemistry topics
Mathematics
Calculus, Linear Algebra, Differential Equations
Real Analysis, Vector Calculus, Group Theory
Biotechnology
Concepts from Biology, Chemistry, Mathematics, and Physics
Geology
Earth Sciences, Paleontology, Petrology, Structural Geology
Mathematical Statistics
Probability, Random Variables, Matrices, and Statistical Inference
Since the syllabus may have minor changes, it's best to keep an eye on the official IIT JAM website for updates. If you're preparing, focusing on past papers and the latest syllabus from IITs will be the smartest approach!
If you haven't taken CUET, JAM, or GATE but still want to pursue an MSc in Data Science , consider applying to universities and colleges that offer admission based on your B.Sc. CS marks and may conduct their own entrance exams or interviews. Here are a few options to explore:
Central Universities:
Delhi University:
Offers MSc in Computer Science with a Data Science specialization, admissions are based on merit in your B.Sc. marks.
Jadavpur University:
Provides MSc in Data Science, with potential for admission based on merit and an interview.
Banaras Hindu University (BHU):
Offers MSc in Computer Science with a Data Science specialization, consider checking their admission criteria.
Private Universities:
Manipal Institute of Technology (MIT): Has a dedicated MSc in Data Science program with flexible admission criteria.
Christ University, Bangalore: Offers MSc in Data Science with a good reputation, check their admission process.
Amrita Vishwa Vidyapeetham: Provides MSc in Data Science, consider their merit-based admission.
State Universities:
University of Hyderabad:
Offers MSc in Computer Science with a focus on Data Science, check specific program details.
University of Pune:
Provides MSc in Computer Science with Data Science specialization, inquire about their admission process.
University of Madras:
Consider their MSc in Computer Science program for potential Data Science focus.
Important Points to Consider:
Check individual university websites:
Each institution has its own admission criteria, so carefully review their eligibility requirements and application process.
Contact the admissions office:
Reach out to the universities you are interested in to inquire about their admission process and if they offer any alternative pathways for admission without entrance exams.
Focus on your B.Sc. performance:
Ensure you have a strong academic record in your B.Sc. CS to enhance your application.
Highlight relevant skills:
Emphasize any data science skills you have acquired through projects, internships, or online courses in your application.
Prepare for potential interviews:
Some universities may conduct personal interviews as part of the admission process.
GOOD LUCK!!!
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