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IIT JAM Syllabus for Mathematics is as follows;

Sequences and Series of Real Numbersincludes topic such asSequences and series of real numbers, Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms comparison test, ratio test, root test; Leibnitz test for convergence of alternating series

Functions of One Variableincludes topic such asLimit, continuity, differentiation, Rolles Theorem, Mean value theorem. Taylor's theorem. Maxima and minima.

Functions of Two Real Variablesincludes topic such as Limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Eulers theorem

Integral Calculus includes topic such asIntegration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications.

Joint Admission Test for M.Sc Programmes

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