IIT JAM 2025 Mathematics Syllabus: Topic Wise Syllabus, Exam Pattern & Important Books

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 2025 Mathematics Exam Pattern

IIT JAM 2025 Mathematics exam pattern states that each test paper is of three hours duration. In the exam, candidates need to attempt 60 questions which were of 100 marks weightage. These 60 questions are divided into three sections – A, B, and C. All these sections are compulsory and candidates need to attempt questions from all the sections. The medium of instruction for JAM test papers is English. 

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.

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 will be held 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 2025

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 2025

Books that aspirants should consider reading to prepare for the topic, Real Analysis, are as mentioned below:

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 2025

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 2025

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 2024 Mathematics Preparation Tips

IIT JAM 2025 exam is highly competitive in nature as this exam will provide admissions to the finest institutions in the country like IITs, NITs and other popular result-sharing institutes. Aspirants who wish to appear in the JAM 2025 Mathematics exam should have a proper preparation strategy which will help them ace the examination. Here are some important JAM 2025 Mathematics preparation tips that one can check out and prepare accordingly. 

Know the exam systematically:

• Syllabus and Pattern: First, aspirants must know the JAM 2025 Mathematics syllabus in order to know the difficulty level and topics to be covered for the examination. Knowing the JAM 2025 exam pattern will help the candidates understand the format of the questions that will be asked in the examination. 
• Marking Scheme and Duration: Familiarize yourself with the exam format, including the number of questions, weightage of each section, and total time duration. This will help you develop a time management strategy for the exam.

Master the Fundamentals:

• Solid Textbooks: Use recommended textbooks and resources to build a strong foundation in core mathematical concepts

Practice Makes Perfect:

• Previous Years' Papers: Solve previous years' IIT JAM question papers to understand the question types, difficulty level, and recurring themes. Analyze solutions to identify patterns and improve your problem-solving approach.
• Mock Tests and Sample Papers: Regularly attempt mock tests and sample papers to simulate the exam experience, identify your strengths and weaknesses, and work on time management.

Boost Your Preparation:

• Strategic Time Table: Create a well-structured study schedule that allocates sufficient time to each topic based on its weightage and your comfort level. Be consistent with your studies.
• Join a Coaching Institute (Optional): Consider enrolling in a coaching program if you need additional guidance, structured learning, or access to mock tests and practice problems.
• Online Resources: Explore online lectures, video tutorials, and practice problems offered by various platforms to supplement your learning.

Read More: 

• Last minute preparation tips for IIT JAM 2025 
• IIT JAM 2024 Seat Matrix; Course Wise Seats at IITs and NITs