IIT JAM Mathematics Coaching in Bangalore

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.

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.

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 homomorphisms.

Highlights of IIT-JAM 2026 Mathematics Exam Pattern

Below is the official exam pattern for IIT-JAM Mathematics (MA)

Types of Questions

Multiple Choice Questions (MCQs)
Multiple Select Questions (MSQs)
Numerical Answer Type (NAT)

Marking Scheme

MCQs carry 1 or 2 marks.
Negative marking for MCQs:
- 1-mark MCQ → 1/3 mark deducted
- 2-mark MCQ → 2/3 mark deducted
No negative marking for MSQs and NAT questions.

Particulars	Details
Exam mode	Online Computer-Based Test (CBT)
Exam duration	3 Hours
Total number of questions	60
Total marks	100
Section A	30 MCQs (10 × 1 mark + 20 × 2 marks)
Section B	10 MSQs (2 marks each)
Section C	20 NAT (10 × 1 mark + 10 × 2 marks)
Negative marking	Applicable only for MCQs

Previous year Question paper

2023

2022

2021

Books to Be Referred

IIT-JAM Mathematics (MA) Recommended Books

Book Name	Author
IIT-JAM: M.Sc. Mathematics Previous Papers & Practice Test Papers (Solved)	R. Gupta
Solved Papers & Practice Sets – IIT JAM (M.Sc.)	Raj Kumar Soni
IIT JAM Mathematics for M.Sc. Entrances – Solved Papers	Anand Kumar
Calculus, Volume 1: One-Variable Calculus with an Introduction to Linear Algebra	Tom M. Apostol
Abstract Algebra	Bhattacharya, Jain & Nagpal

Tip: Focus on solving previous year question papers regularly along with standard textbooks. Practice is crucial for success in IIT-JAM Mathematics.

Key Topics to Focus On

Important areas for scoring well in IIT-JAM Mathematics (MA)

Topic Area	Important Concepts
Real Analysis	Sequences and series, limits, continuity, differentiability, Riemann integration
Calculus	Single and multivariable calculus, Taylor series, maxima and minima
Linear Algebra	Vector spaces, linear transformations, eigenvalues and eigenvectors
Abstract Algebra	Groups, subgroups, cyclic groups, homomorphisms and quotient groups
Differential Equations	First-order and second-order differential equations, standard solution techniques
Topology (Basic)	Metric spaces, open and closed sets, convergence and compactness (introductory level)

Note: IIT-JAM does not publish official topic-wise weightage. All core topics should be prepared thoroughly with emphasis on problem-solving.

The IIT JAM, which stands for Joint Admission Test for M.Sc., is an annual, nationwide online entrance examination administered by the Indian Institutes of Technology (IITs) on behalf of the Ministry of Human Resource Development (MHRD), Government of India.

The level of difficulty in the Mathematics section of the IIT JAM exam can be described as moderate to challenging. In contrast, subjects like Chemistry and Geology tend to have a lower difficulty level.