IIT JAM 2026 Mathematics Syllabus: Topic Wise Syllabus, Exam Pattern & Important Books

Indian Institute of Technology Joint Admission Test for MSc 2026 ( IIT JAM )

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Interested in pursuing MSc Mathematics course? Or completed BSc Maths degree? Read this Shiksha article to get the detailed syllabus for the IIT JAM MSc Mathematics course. Aspirants can also check the eligibility criteria and exam pattern for the same here.

Interested in pursuing MSc Mathematics course? Or completed BSc Maths degree? Read this Shiksha article to get the detailed syllabus for IIT JAM 2026 MSc Mathematics course. Aspirants can also check eligibility criteria & exam pattern for the same here.

IIT JAM Mathematics Syllabus; Know Complete Syllabus, Important Books, Exam Pattern and Other Details

IIT JAM 2026 exam schedule was conducted on February 15, 2026, at 116 exam centres across the nation. The exam will be held for admissions to the MSc and Integrated PhD programmes for seven courses offered by the JAM 2026 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 exam pattern for the session.

Also Read: IIT JAM 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 Mathematics preparation should be based on IIT JAM syllabus 2026 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 2026 syllabus will help the candidates know the topics to be studied and prepare accordingly. 

Aspirants preparing for IIT JAM 2026 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.

Table of contents
  • IIT JAM 2026 Mathematics Exam Pattern
  • IIT JAM Syllabus Overview 2026 for Mathematics (MA)
  • IIT JAM 2026 Mathematics Syllabus
  • Best Books for IIT JAM Mathematics Preparation 2026
  • IIT JAM Peparation 2026: Mock test

IIT JAM 2026 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 2026 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 2026 Mathematics Syllabus PDF

Q&A Icon
Commonly asked questions
Q:   What is the syllabus of IIT JAM?
A: 
IIT JAM or the Joint Admission Test for M.Sc. , is an entrance exam conducted by Indian Institutes of Technology (IITs) for admission to various postgraduate Science programs. The syllabus for IIT JAM varies depending on the subject you choose to appear for. However, some common topics covered in the IIT JAM syllabus are: 1. Mathematical Statistics: Sequences and Series Differential Calculus Integral Calculus Matrices Probability Random Variables Joint Distributions Sampling distributions Estimation Testing of Hypotheses 2. Physics: Mathematical Methods Mechanics and General Properties of Matter Oscillations, Waves and Optics Electricity and Magnetism Kinetic theory, Thermodynamics Modern Physics Solid State Physics Devices, and Electronics 3. Chemistry: Physical Chemistry Organic Chemistry Inorganic Chemistry 4. Biotechnology: Biology Chemistry (Physical, Organic, and Inorganic) Mathematics Physics 5. Mathematical Sciences: Real Analysis Linear Algebra Complex Analysis Algebra Ordinary Differential Equations (ODE) Partial Differential Equations (PDE) Numerical Analysis Calculus of Variations Probability and Statistics It's important to note that the exact topics and level of difficulty of the questions may vary each year, so it's important to refer to the official IIT JAM syllabus for the specific subject and year you are planning to appear for the exam.
Q:   How can I get the IIT JAM syllabus PDF?
A: 

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 2026 Mathematics Syllabus

Along with the release of JAM 2026 schedule, IIT Bombay the exam authority for the academic session 2026-2027 has also released the JAM 2026 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 2026 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 

What is Function in Math

IIT JAM 2026 Student Reactions

The JAM 2026 exam will be concluded on February 15, 2026, at various exam centres across the country. For better preparation and knowledge of the JAM exam difficulty level, candidates appearing for IIT JAM 2026 exam can check out the previous year's student reaction video from here:

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 2026

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 2026

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 2026: Mock test

Candidates who have begun JAM 2026 exam preparation must also attempt the JAM Mocktest 2026 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 2026, exam difficulty level and learn about the process of appearing for a computer-based exam.

Elements of IIT JAM Mock Test 2026

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

Read More: 

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