IIT JAM 2026 Notification Date

The Mathematics paper for JAM 2026 is expected to include core undergraduate topics. The official syllabus includes:
Real Analysis
Sequences and Series of Real Numbers:
Topics include convergence of sequences, bounded and monotonic sequences, and Cauchy sequences. Important theorems such as the Bolzano-Weierstrass theorem and the concept of absolute convergence are covered. Methods for testing series convergence include the comparison test, ratio test, and root test. Power series (in one real variable) are examined, with focus on radius and interval of convergence, as well as term-by-term differentiation and integration.
Functions of a Single Real Variable:
Key concepts include limits, continuity, and the intermediate value property. Differentiation techniques and results such as Rolle’s Theorem, the Mean Value Theorem, L’Hospital’s Rule, and Taylor’s Theorem (including Taylor series) are included. The study also covers maxima and minima, along with Riemann integration—covering definite integrals, their properties, and the Fundamental Theorem of Calculus.



Multivariable Calculus and Differential Equations
Functions of Two or Three Variables:
Explores limits, continuity, partial derivatives, total derivatives, and the determination of local extrema (maxima and minima) in multivariable settings.
Integral Calculus:
Covers double and triple integrals, changing the order of integration, and applications such as computing surface areas and volumes via double integrals, and volumes using triple integrals.
Differential Equations:
Includes first-order equations like Bernoulli’s equation, exact equations, use of integrating factors, and orthogonal trajectories. Also covered are homogeneous equations, separation of variables, second-order linear differential equations with constant coefficients, the method of variation of parameters, and the Cauchy-Euler equation.



Linear Algebra and Algebra
Matrices:
Focuses on systems of linear equations, matrix rank and nullity, the rank-nullity theorem, matrix inverses, determinants, and eigenvalues and eigenvectors.
Finite-Dimensional Vector Spaces:
Topics include linear independence, basis and dimension, linear transformations and their matrix representations, as well as range and null spaces. The rank-nullity theorem is revisited in this context.
Groups:
Covers fundamental group theory concepts such as cyclic, abelian, and non-abelian groups; permutation groups; normal subgroups and quotient groups; and Lagrange’s theorem for finite groups.
A deep understanding of these topics, along with consistent practice, is essential for securing a strong rank.