IIT JAM Mathematics Syllabus 2023 – Get MA Syllabus PDF Here
IIT JAM Mathematics Syllabus 2023 has been released officially by the IIT JAM 2023 authority online. Students can download the IIT JAM 2023 Syllabus into PDF format.
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 JAM 2023 Exam is Conducted by IISc Bangalore. For better preparation, Candidates can also Download other Syllabus in PDF format.
Mathematics
Sequences and Series of Real Numbers
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A sequence of real numbers, a convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, BolzanoWeierstrass 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, maxima, and minima.
Functions of Two or Three Real Variables
Limit, continuity, partial derivatives, differentiability, 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, CauchyEuler equation.
Vector Calculus
Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes, and Gauss theorems.
Group Theory
Groups, subgroups, Abelian groups, nonAbelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms, and basic concepts of quotient groups.
Linear Algebra
Finitedimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, ranknullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues, and eigenvectors for matrices, CayleyHamilton theorem.
Real Analysis
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 UPES, Dehradun  Admissions Open for All Courses 2022. Apply Now
 Lovely Professional University, Punjab  2022 Admissions Open for All Courses. Apply Now
 Chandigarh University  Admissions Open for All Courses 2022. Apply Now
 DIT University, Dehradun  Admissions Open for All Courses 2022. Apply Now
 MIT WPU, Pune  Admissions Open for All Courses 2022. Apply Now
 Parul University, Vadodara  UG & PG Admission Open 2022. Apply Now
 Bennett University, Greater Noida  Admission Open at Bennett University 2022. Apply Now
 Sharda University, Greater Noida  Admission Open at Sharda University 2022. Apply Now
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Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of a real variable), Taylor’s series, radius and interval of convergence, termwise differentiation, and integration of power series.
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