IIT JAM 2027 will be held on February 15, 2027, for admission to postgraduate courses offered by the Indian Institutes of Technology (IITs). Candidates who want to pursue postgraduate Mathematics courses through this exam must align their preparation with the official syllabus released by IIT Bombay.

To help them achieve this goal, SciAstra provides detailed information about the IIT JAM 2027 Mathematics syllabus in this article. Through IIT JAM 2027, IITs are offering postgraduate Maths courses, including MSc in Mathematics, MSc in Mathematics & Computing, Joint MSc‐PhD in Mathematics, MSc‐MTech Dual Degree in Mathematics–Data and Computational Sciences, MSc in Applied Mathematics, MSc in Mathematics & Statistics, and Integrated MSc‐PhD Dual Degree in Mathematics.

To get admission to any of these programmes, candidates must qualify for JAM 2027. They can refer to the detailed IIT JAM Mathematics syllabus to prepare well, crack the exam, and pursue one of these Mathematics courses.

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Table of Contents

IIT JAM 2027 Exam Pattern

The IIT JAM 2027 exam pattern provides an overview of the structure of the IIT JAM question paper. It includes crucial details such as the type and number of questions, exam mode, marking scheme, and more. The details are as follows:

Section

Question Type

Details

Question Numbers

Section A

Multiple Choice Questions (MCQ)

Only one correct option out of four choices

Q.1 – Q.10, Q.11 – Q.30

Section B

Multiple Select Questions (MSQ)

One or more correct choices

Q.31 – Q.40

Section C

Numerical Answer Type (NAT)

Real number entered via virtual keyboard, no choices provided

Q.41 – Q.50, Q.51 – Q.60

Aslo Read: IIT JAM 2027 Biotechnology SyllabusIIT JAM 2027 Marking Scheme:

Section

Marks per Question

Number of Questions

Total Marks

Marking Scheme

Section A

  • 1 (Q.1 – Q.10)

  •  2 (Q.11 – Q.30)

  • 10

  • 20

  • 10

  • 40

Negative marking: -1/3 mark for 1-mark questions, -2/3 mark for 2-mark questions

Section B

  • 2

  • 10

  • 20

No negative or partial marking

Section C

  • 1 (Q.41 – Q.50)

  • 2 (Q.51 – Q.60)

  • 10

  • 10

  • 10

  • 20

No negative marking

  • Total Questions: 60

  • Total Marks: 100

Also Read: Documents Required to Fill Out IIT JAM Application Form

IIT JAM Mathematics Syllabus 2027

The IIT JAM 2027 Mathematics syllabus is divided into three sections: Real Analysis, Multivariable Calculus and Differential Equations, and Linear Algebra and Algebra. It covers the topics listed in the table below, with the level of content up to Class 12. The detailed IIT JAM Mathematics syllabus is as follows:

IIT JAM 2027 Mathematics Syllabus

Section

Topic

Areas Covered

Section 1: 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’sseries, maxima and minima, Riemann integration (definite integrals and their properties),fundamental theorem of calculus.

Section 2: Multivariable Calculus and Differential Equations

Functions of Two or Three Real Variables

Limit, continuity, partial derivatives, totalderivative, maxima and minima.

Integral Calculus

Double and triple integrals, change of order of integration, calculatingsurface 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 ofvariables, linear differential equations of second order with constant coefficients, method ofvariation of parameters, Cauchy-Euler equation.

Section 3: Linear Algebra and Algebra

Basic algebra

Permutations and Combinations, Binomial Theorem

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, normalsubgroups, quotient groups, Lagrange’s theorem for finite groups, group homomorphisms.

Also Read: Institutes Participating in IIT JAM 2027

IIT JAM 2027 Mathematics Syllabus PDF

IIT Bombay has released the IIT JAM 2027 syllabus for Mathematics at jam2027.iitb.ac.in. Candidates can check the official PDF for the IIT JAM 2027 Maths syllabus below:

IIT JAM 2027 Maths Syllabus PDF (Official)

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IIT JAM 2027 Eligibility Criteria: Mathematics

Candidates interested in pursuing an MSc in Mathematics through the IIT JAM 2027 exam must review the course eligibility criteria along with the syllabus. This will help them determine whether they are eligible for the course. Check the IIT JAM 2027 eligibility criteria for Mathematics below:

Institute

AcademicProgramme(Code)

Essential subjectsin Bachelor’sDegree along withminimum duration

IIT Bhilai

2802: MSc in Mathematics & Computing

Mathematics for at least two years/four semesters.

IIT Bhubaneswar

1905 : Joint MSc‐ Ph.D. in Atmosphere & Ocean Sciences

Mathematics and Physics at UG Level.

IIT Bhubaneswar

1902 : Joint MSc‐ Ph.D. in Mathematics

Mathematics/ Statistics as a subject for at least two years/four semesters.

IIT Bombay

1206 : MSc in Mathematics

No Restrictions.

IIT Bombay

1214 : MSc in Operations Research

No Restrictions.

IIT Bombay

1212 : MSc‐Ph.D.Dual Degree in Energy Science and Engineering

BSc or equivalent of minimum three years duration, with any one of Chemistry, Mathematics and Physics for two years/four semesters and any one of the remaining two subjects for at least one year/two semesters.

IIT Bombay

1213: MSc‐Ph.D.Dual Degree in Environmental Science and Engineering

Any one of Biology, Biotechnology, Chemistry, Mathematics and Physics for two years/four semesters, and any one of the other four subjects for at least one year/two semesters and Mathematics for at least one semester.

IIT Delhi

1302 : MSc in Mathematics

BSc/B.S. degrees, Mathematics for at least two years/four semesters. No restrictions for engineering degrees.

IIT (ISM) Dhanbad

2602: MSc in Mathematics & Computing

Mathematics for at least two years/four semesters.

IIT Dharwad

3302 : MSc in Mathematics

Mathematics for at least two years/four semesters in BSc/BS degree. BTech./BE degree in any branch of engineering will be considered.

IIT Gandhinagar

2002: MSc in Mathematics

No Restrictions.

IIT Guwahati

1404 : MSc in Mathematics

Mathematics for at least two years/four semesters.

IIT Guwahati

1402: MSc in Mathematics & Computing

Mathematics for at least two years/four semesters.

IIT Hyderabad

2102 : MSc in Mathematics/ Mathematics & Computing

Mathematics for at least two years/four semesters. No restrictions for engineering degrees.

IIT Indore

2203 : MSc in Mathematics

Mathematics for at least two years/four semesters.

IIT Jodhpur

2402 : MSc in Mathematics

Mathematics for at least two years/four semesters.

IIT Jodhpur

2404 : MSc‐ MTech. Dual Degree in Mathematics‐Data & Computational Sciences

Mathematics for at least two years/four semesters.

IIT Kanpur

1502: MSc in Mathematics

No Restrictions.

IIT Kharagpur

1603: Joint MSc‐ Ph.D. in Mathematics

Mathematics/Statistics subjects for six semesters / three years.

IIT Madras

1702: MSc in Mathematics

Mathematics for at least two years/four semesters.

IIT Mandi

3102: MSc in Applied Mathematics

Mathematics for at least two years/four semesters.

IIT Palakkad

2902: MSc in Mathematics

JAM qualified in Mathematics (MA) or Mathematical Statistics (MS) Bachelor’s degree (with at least 3 Mathematics courses as part of the Bachelor’s degree program)

IIT Patna

2505 : Integrated MSc PhD in Mathematics

Mathematics for at least two years / four semester

IIT Patna

2502: MSc in Mathematics

Mathematics for at least two years/four semesters.

IIT Roorkee

1804: MSc in Mathematics

Mathematics for at least two years/four semesters. No restrictions for engineering degrees.

IIT Ropar

2301: MSc in Mathematics

Mathematics for at least two years/four semesters.

IIT Tirupati

3004: MSc in Mathematics

Bachelor’s degree with at least three(3) mathematics courses.

IIT Tirupati

3001: MSc in Mathematics & Statistics

No Restrictions.

Also Read: IIT JAM 2027 Eligibility Criteria

Best Books for IIT JAM 2027 Mathematics Preparation

To prepare for the IIT JAM 2027 Mathematics paper, candidates should refer to books that are specific to the syllabus. SciAstra has provided a list of the best books for IIT JAM Mathematics preparation. These books are carefully selected as they align with the exam syllabus, include previous years’ question papers, and are authored or published by reputed sources. Check out the list below:

Book Name

Author/Publisher

IIT-JAM Mathematics Previous Q.Paper With Solution

Career Endeavour

IIT JAM Mathematics Solved Papers & Practice Sets (2005–2023)

Neha Tyagi, Arihant Publications

Introduction to Real Analysis

R. G. Bartle & D. R. Sherbert, Wiley

Fundamentals of Real Analysis

V. K. Krishnan

Linear Algebra Done Right

Sheldon Axler

JAM 2027 Mathematics Preparation Tips

Preparing for the IIT JAM 2027 Mathematics paper requires the right study materials and effective time management. Here are some useful preparation tips:

  • Create a study routine and stick to it.

  • If you begin your preparation 2–3 months before the exam, focus only on the most important Mathematics topics.

  • If you start 5–6 months in advance, cover all the important topics from the IIT JAM Maths syllabus.

  • Refer to the official IIT JAM 2027 Mathematics syllabus and study the topics listed in it.

  • Solve previous years’ question papers. This will not only familiarise you with the exam pattern but also highlight the most important questions.

  • By solving past papers, you’ll also identify key topics that frequently appear in the exam. Revise these thoroughly and practise related problems.

  • Take regular mock tests to assess your preparation and improve your time management.

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