IIT JAM MATHEMATICS SYLLABUS 2023

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JAM 2023 : Every year, the IIT JAM exam is conducted by one of the participating institutes. As per the latest news, IIT Guwahati is conducting the IIT JAM 2023 Exam.

In 2021, the exam conducting authority added a new subject, Economics, to the IIT JAM Syllabus. This will be continued in the forthcoming years of the exam as well. Hence the complete list of IIT JAM subjects is Physics, Chemistry, Mathematics, Biotechnology, Statistics, Economics, and Geology.

So, if you have applied for any of these subjects, you should check the complete and updated IIT JAM 2023 Syllabus. It will help you plan your preparation for the exam and get admission in premier IITs or IISc for MSc or other PG Courses.

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’sTheorem, mean value theorem, L’Hospital rule, Taylor’s theorem, Taylor’s series, maxima andminima, 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 homomorphisms.