IIT JAM 2025 Mathematics Syllabus: Topic Wise Syllabus, Exam Pattern & Important Books
Indian Institute of Technology Joint Admission Test for MSc 2026 ( IIT JAM )
Admit Card - 5 Jan '26
Interested in pursuing MSc Mathematics course? Or completed BSc Maths degree? Read this Shiksha article to get the detailed syllabus for the IIT JAM 2025 MSc Mathematics course. Aspirants can also check the eligibility criteria and exam pattern for the same here.
IIT JAM Mathematics Syllabus; Know Complete Syllabus, Important Books, Exam Pattern and Other Details
IIT JAM 2025 exam schedule was conducted on February 15, 2025, at 115 exam centres across the nation. The exam was held for admissions to the MSc and Integrated PhD programmes for seven courses offered by the JAM 2025 score result-sharing institutes. One of the MSc courses offered by IITs is Mathematics. Before starting the preparation for the MSc Mathematics course, the ideal strategy for a candidate should be to analyse the MSc Mathematics Syllabus and JAM 2025 exam pattern for the session.
Also Read: IIT JAM 2025 Seat Matrix; Course Wise Seats at IITs and NITs
Candidates who have already completed an undergraduate degree (BSc) or are currently studying in the final year of undergraduate programmes are eligible to apply for the exam. For aspirants who are interested in taking the exam, their JAM 2025 Mathematics preparation should be based on the IIT JAM syllabus 2025 mentioned by the exam officials. Since the BSc Mathematics syllabus is very vast and quite different from university to university, preparing from the specified JAM 2025 syllabus will help the candidates know the topics to be studied and prepare accordingly.
Aspirants preparing for the IIT JAM 2025 exam must start their preparation soon to ace the examination and get into their desired college or university. IIT JAM MSc Mathematics exam syllabus includes the topics studied in UG of Mathematics course. The UG Mathematics course is very vast and contains topics like Differential Calculus, Differential Calculus, Number Theory, Analytical Geometry, Mechanics, etc.
- IIT JAM 2025 Mathematics Exam Pattern
- IIT JAM 2025 Mathematics Syllabus
- Best Books for IIT JAM Mathematics Preparation 2025
IIT JAM 2025 Mathematics Exam Pattern
Each test paper of the IIT JAM Mathematics is of three hours duration. Students need to attempt 60 questions of total weightage of 100 marks. All these questions are divided into three sections - A, B, and C that are mandatory for students. They need to attempt questions from all sections. English is the medium of instruction.
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The detailed IIT JAM exam pattern 2025 is mentioned in the table below:
| Section | Type of Questions | No of Question |
|---|---|---|
| A | Multiple Choice Questions (MCQs) Each question has four choices with one correct answer. |
30 |
| B | Multiple Select Questions (MSQs) Each question has four choices with one or more correct answers. |
10 |
| C | Numerical Answer Type (NAT) The answer for each question is a signed real number that needs to be entered using the virtual numeric keypad on the monitor. No choices will be shown for these questions. |
20 |
| Total | 60 | |
IIT JAM 2025 Mathematics Syllabus
Along with the release of JAM 2025 schedule, IIT Delhi the exam authority fro the academic session 2025-2026 has also released the JAM 2025 subject-wise syllabus. Aspirants preparing for the IIT JAM MSc Mathematics degree programme should start their preparation according to the Maths syllabus mentioned below:
Real Analysis:
Sequences and Series of Real Numbers: convergence of sequences, bounded and monotone sequences, Cauchy sequences, Bolzano-Weierstrass theorem, absolute convergence, tests
of convergence for series – comparison test, ratio test, root test; Power series (of one real variable), radius and interval of convergence, term-wise differentiation and integration of power series.
Functions of One Real Variable: limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, Taylor’s series, maxima and minima, Riemann integration (definite integrals and their properties) fundamental theorem of calculus.
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Multivariable Calculus and Differential Equations:
Functions of Two or Three Real Variables: limit, continuity, partial derivatives, total derivative, maxima and minima.
Integral Calculus: double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.
Differential Equations: Bernoulli’s equation, exact differential equations, integrating factors, orthogonal trajectories, homogeneous differential equations, method of separation of variables, linear differential equations of second order with constant coefficients, method of variation of parameters, Cauchy-Euler equation.
Linear Algebra and Algebra:
Matrices: systems of linear equations, rank, nullity, rank-nullity theorem, inverse, determinant, eigenvalues, eigenvectors. Finite Dimensional Vector Spaces: linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem.
Groups: cyclic groups, abelian groups, non-abelian groups, permutation groups, normal subgroups, quotient groups, Lagrange's theorem for finite groups, group homomorphism.
Candidates can check out the JAM 2025 syllabus fo other subjects from here:
| JAM 2025 Biotechnology Syllabus | IIT JAM 2025 Economics Syllabus | JAM 2025 Mathematical Statistics Syllabus |
| JAM 2025 Physics Syllabus | IIT JAM 2025 Chemistry Syllabus | IIT JAM 2025 Geology Syllabus |
Also Read:
IIT JAM 2025 Chapter Wise Weightage; Know Important Topics
IIT JAM 2025 Student Reactions
The JAM 2025 exam was concluded on February 2, 2025, at various exam centres across the country. For better preparation and knowledge of the JAM exam difficulty level candidates appearing for the IIT JAM 2025 exam can check out the previous year's (2024) student reaction video from here:
Also Read: Check Year Wise IIT JAM Student Reaction and Difficulty Level from Here
Best Books for IIT JAM Mathematics Preparation 2025
Aspirants can go through topic-wise books that they can refer to when they are preparing for the IIT JAM Mathematics paper below.
IIT JAM Mathematics Books to Read for Linear Algebra Preparation 2025
Books that aspirants should consider reading to prepare for the topic, Linear Algebra, are as mentioned below:
| Name of the Book |
Author |
|---|---|
| Linear Algebra done right |
Sheldon Axler |
| A Geometric Approach to Linear Algebra |
S Kumaresan |
| Linear Algebra for IIT JAM Mathematics |
Samvedna publications |
| Linear Algebra |
Kenneth M Hoffman |
| Elementary Linear Algebra |
Chatles W.Curtis |
| Elementary Linear Algebra |
H.Anton |
| Fundamental structure in Modern Algebra |
R.S. Mishra and N.N.Bhattacharya |
| Linear Algebra and its Applications |
David C. Lay |
| Linear Algebra |
Seymour Lipschitz (Schaum’s), H. Anton, A.R.Vasishtha |
| Modern Algebra |
A. R. Vasishtha |
IIT JAM Mathematics Books to read for Calculus Preparation
Books that aspirants should consider reading to prepare for the topic, Calculus, are as mentioned below:
| Name of the Book |
Author |
|---|---|
| Calculus |
M. J. Strauss, G. L. Bradley and K. J. Smith |
| Calculus |
Thomas Finney |
| Calculus |
H. Anton, I. Bivens and S. Davis |
| Integral Calculus |
Gorakh Prasad |
| A text –Book of Vector Calculus |
Shanti Narayan |
| Vector Calculus |
Murray R. Spiegel (Schaum’s), A.R.Vasishtha |
| Calculus |
Pisknov |
IIT JAM Mathematics Books to read for Real Analysis Preparation
Books that aspirants should consider reading to prepare for the topic, Real Analysis, are as follows:
| Name of the Book |
Author |
|---|---|
| Introduction to Real Analysis |
R. G. Bartle and D. R. Sherbert |
| A Course in Calculus and Real Analysis |
Sudhir R. Ghorpade and Balmohan V. Limaye |
| A course of Mathematical Analysis |
Shanti Narayan |
| A first course in Mathematical Analysis |
Somasundaram, Choudhari |
| Elementary Analysis: The Theory of Calculus |
K. A. Ross |
| Fundamentals of Real Analysis |
V.K Krishnan |
| Mathematical Analysis |
Apostol T.M |
| Mathematical Analysis |
Binmore K.G |
| Methods of Real Analysis |
Richard. R Goldberg |
| Principles of Mathematical Analysis |
Rudin .W |
| Real Analysis |
H.L. Royden |
IIT JAM Mathematics Books to read for Differential Equations Preparation
Books that aspirants should consider reading to prepare for the topic, Differential Equations, are as mentioned below:
| Name of the Book |
Author |
|---|---|
| Advanced Engineering Mathematics |
Sastri S.S |
| Advanced Engineering Mathematics |
Wylie, C.R. and Burrett, L.C |
| Differential and integral equations |
Collins, P.J |
| Differential equations and the calculus of variations |
Yankosky |
| Differential equations and their applications |
Ahsan, Z |
| Differential Equations |
G.F.Simmons |
| Partial differential equations – methods and applications |
Mcowan, R.C |
IIT JAM Mathematics Books to read for Differential Calculus Preparation
Books that aspirants should consider reading to prepare for the topic, Differential Calculus, are as mentioned below:
| Name of the Book |
Author |
|---|---|
| Differential calculus |
Balachanda Rao and C.K Santha |
| Differential Calculus |
Gorakh Prasad |
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The key texts for the IIT JAM Mathematics exam are: Principles of Real Analysis by S. C. Malik for Real Analysis; Linear Algebra by H. Anton or by Seymour Lipschitz from the Schaum's outline series for Linear Algebra; Integral Calculus - F. Ayres, or GorakhPrasad's Textbooks for Integral Calculus; For Differential Equations, either M.D. Raisinghania will work, or for excellent, Modern Algebra by A. R. Vasishtha or by Joseph A. Gallian will work fine.