IIT JAM Mathematics Syllabus 2025 (Available) – Get MA Syllabus PDF Here

The IIT JAM 2025 Mathematics syllabus has been officially released by the exam authority and is available for download in PDF format. IIT JAM, conducted by IIT Delhi, is a joint entrance exam for admission to Masters’s programs in Science and Technology offered by Indian Institutes of Technology and the Indian Institute of Science. Students preparing for the exam can access the syllabus and other relevant materials to enhance their preparation.

The IIT JAM is known as the India Institute of Technology, and the Indian Institute of Science may offer the Joint Admission Test for Masters of Science and Technology.

IIT Delhi conducts the IIT JAM 2025 Exam. The examination will be held on 2nd February 2025. For better preparation, Candidates can also Download other IIT JAM Syllabus in PDF format.

Click to Download the MA Syllabus PDF Here.

Mathematics

Real Analysis:

Sequences and Series of Real Numbers: A sequence of real numbers, a 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, 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: 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, a 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.

IIT JAM Mathematics Syllabus 2025 FAQs

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Sunil Kushwaha

As a dedicated Biology Science graduate, I’m passionate about sharing the latest updates in national and state entrance exams through my blog. I aim to keep aspiring students informed about exam trends, important dates, and changes in syllabi. With a keen interest in education, I strive to offer valuable insights for students navigating the competitive landscape of entrance examinations and admission tests. Stay updated with me.