IIT JAM Mathematics Syllabus 2027: Topic Wise Syllabus, Exam Pattern & Important Books
Indian Institute of Technology Joint Admission Test for MSc 2027 ( IIT JAM )
IIT JAM 2027 Application Process
11 Sep '26 - 12 Oct '26
IIT JAM Mathematics Syllabus 2027 includes topics from undergraduate level. The exam will be held on February 14, 2027. Check this article for Mathematics syllabus and exam pattern in detail to prepare well.
IIT JAM Mathematics Syllabus; Know Complete Syllabus, Important Books, Exam Pattern and Other Details
IIT JAM 2027 exam will be conducted on February 14, 2027, at 116 exam centres across India. The exam is held for admission to MSc and Integrated PhD programmes offered by participating institutes. Mathematics is one of the courses available through the IIT JAM admission process.
Also Read: IIT JAM Seat Matrix; Course Wise Seats at IITs and NITs
Candidates should check IIT JAM Mathematics syllabus 2027 and exam pattern before starting preparation. IIT JAM syllabus helps them understand topics they need to study. It also helps them make a proper preparation plan.
The BSc Mathematics syllabus can be different for different universities. It is also very broad. So candidates should prepare according to the official IIT JAM Mathematics syllabus to focus on the required topics. Candidates can divide the syllabus into different sections and prepare each topic properly.
IIT JAM MSc Mathematics syllabus covers topics generally studied at the undergraduate level. These include Differential Calculus, Integral Calculus, Number Theory, Analytical Geometry, Mechanics and other important areas of Mathematics. Candidates should complete syllabus first. They should keep enough time for revision and practice.
- IIT JAM 2027 Mathematics Exam Pattern
- IIT JAM Syllabus Overview 2027 for Mathematics (MA)
- IIT JAM 2027 Mathematics Syllabus
- Best Books for IIT JAM Mathematics Preparation 2027
- IIT JAM Peparation 2027: Mock test
IIT JAM 2027 Mathematics Exam Pattern
Each test paper of 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, which are mandatory for students. They need to attempt questions from all sections. English is the medium of instruction.
The detailed IIT JAM exam pattern 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 Syllabus Overview 2027 for Mathematics (MA)
Aspirants can go through the detailed IIT JAM Mathematics syllabus here. The JAM test paper for Mathematics comprises of the below-mentioned topics:
- Sequences and Series of Real Numbers: Sequence of real numbers, the convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series.
- Functions of One Real Variable: Limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, maxima, and minima.
- Functions of Two or Three Real Variables: Limit, continuity, partial derivatives, differentiability, maxima, and minima.
- Integral Calculus: Integration as the inverse process of differentiation, definite integrals, and their properties, fundamental theorem of 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: 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, variable separable equations, linear differential equations of second order with constant coefficients, Method of variation of parameters, Cauchy-Euler equation.
- Vector Calculus: Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes, and Gauss theorems.
- Group Theory: Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphism, and basic concepts of quotient groups.
- Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues, and eigenvectors for matrices, Cayley-Hamilton theorem.
- Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor’s series, radius and interval of convergence, term-wise differentiation, and integration of power series.
Click Here: IIT JAM 2027 Mathematics Syllabus PDF
Commonly asked questions
IIT JAM 2026 syllabus pdf is available on the website, jam2026.iitb.ac.in. The syllabus pdf is available for all seven papers. Students can check the syllabus of IIT JAM to know the important topics for preparation.
IIT JAM 2027 Mathematics Syllabus
Along with the release of JAM 2027 schedule, IIT Bombay the exam authority for the academic session 2027-2027 has also released the JAM 2027 subject-wise syllabus. Aspirants preparing for 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.
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 2027 syllabus fo other subjects from here:
| JAM Biotechnology Syllabus | IIT JAM Economics Syllabus | JAM Mathematical Statistics Syllabus |
| JAM Physics Syllabus | IIT JAM Chemistry Syllabus | IIT JAM Geology Syllabus |
Also Read:
IIT JAM Chapter Wise Weightage; Know Important Topics
Also Read: Check Year Wise IIT JAM Student Reaction and Difficulty Level from Here
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Best Books for IIT JAM Mathematics Preparation 2027
Aspirants can go through topic-wise books that they can refer to when they are preparing for IIT JAM Mathematics paper below.
IIT JAM Mathematics Books to Read for Linear Algebra Preparation 2027
Books that aspirants should consider reading to prepare for the topic, Linear Algebra, are as follows:
| 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 |
IIT JAM Peparation 2027: Mock test
Candidates who have begun JAM 2027 exam preparation must also attempt the JAM Mocktest 2027 in order to gain an additional advantage for improving scores on the exam. IIT JAM Mock test will also be beneficial for candidates to understand the JAM exam pattern 2027, exam difficulty level and learn about the process of appearing for a computer-based exam.
Elements of IIT JAM Mock Test 2027
Candidates will be able to view the different sections that are present in IIT JAM Online Mock Test, an online calculator, and a table indicating the number of questions answered. Candidates can also view a timer indicating the time spent solving the mock test. Additionally, IIT JAM online mock test features include:
- Name of paper/subject
- Exam section (A, B, or C)
- Type of question (MCQ, MSQ, or NAT)
- Marking scheme for each question
- Timer
- Scientific Calculator
- Zoom in or zoom out tool
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Student Forum
Anything you would want to ask experts?Answered a week ago
IIT JAM regulations generally allows provisional admission for final-year students, but you must submit proof of passing your qualifying degree by a strict deadline which is typically September 30 of the admi
A
Contributor-Level 10
Answered a week ago
Yes, IIT Kharagpur will open IIT JAM 2027 form correction window in November 10. Registered candidates will be allowed to edit the application formd. Complete changes are not allowed, therefore it is important to fill the IIT JAM application form 2027 carefully.
V
Contributor-Level 10
Answered a week ago
The specification of photograph for IT JAM application form 2027 is provided below.
| Image Descriptions | Size | Format |
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|
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V
Contributor-Level 10
Answered a week ago
The following documents are requird while filling the IIT JAM application form.
- SCC (Class 10) mark sheet with Date of Birth.
- High-quality recent photograph and signature as per the specification.
- Scanned copy of category certificate (OBC-NCL/EWS/SC/ST).
- Scanned copy of Physical Disability Certificate (
V
Contributor-Level 10
Answered a week ago
IIT Kharagpur has activated the IIT JAM application form link on the official website, jam.iitkgp.ac.in. Candidates must fill the appliction form through the JOAPS portal.
V
Contributor-Level 10
Answered a week ago
Yes, IIT JAM registration 2027 date was revised to September 12. But, IIT Kharagpur has activated the registration portal on September 11, 2026. The application form is available online at jam.iitkgp.ac.in. Candidates can register for IIT JAM 2027 through JOAPS portal.
V
Contributor-Level 10
Answered a week ago
Yes, candidates are allowed to appear for two test papers in IIT JAM. However, they will have to additional fee.
V
Contributor-Level 10
Answered a week ago
IIT JAM application form fee is provide mentioned below.
| CATEGORY | ONE TEST (INR) | TEST PAPERS (INR) |
| Female/SC/ST/PwD | 1000 | 1350 |
| All Others | 2000 | 2700 |
V
Contributor-Level 10
Answered a week ago
Candidates can apply for IIT JAM exam 2027 through JOAPS Portal. The authority will activate the JOAPS portal on September 12, 2026. IIT JAM application form 2027 will be accepted online only.
V
Contributor-Level 10
Answered a week ago
IIT Kharagpur will close IIT JAM application form 2027 window on October 12, 2026. IIT JAM application window will be activated on September 12. Candidates will have to generate their login credentials at JOAPS Portal.
V
Contributor-Level 10