IIT JAM Mathematics Syllabus 2022 – Get MA Syllabus PDF Here
Latest Applications Open 2021:
IIT JAM Mathematics Syllabus 2022 has been released officially by the IIT JAM 2022 authority online. Students can download the IIT JAM 2022 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 2022 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
Latest Applications For Various UG & PG Courses Open 2021:

 UPES, Dehradun  Admissions Open for All Courses 2021. Apply Now
 Chandigarh University, Punjab  Admissions Open for All Courses 2021. Apply Now
 GD Goenka, Gurgaon  Admission Open for All Courses 2021. Apply Now
 DIT University, Dehradun  Admission Open for All Courses 2021. Apply Now
 Sharda University  Admission Open all courses 2021. Apply Now
 Manav Rachna University, Haryana  Admission Open for all courses 2021. Apply Now
 KL University, Guntur AP  Admission Open at KL University, Andhra Pradesh. Apply Now
 Lovely Professional University, Punjab  Admissions Open for All Courses 2021. Apply Now
 SRMU, Sonepat  Admission Open for UG & PG course 2021. Apply Now
 SSIU, Gujarat  Admission Open for UG & PG course 2021. Apply Now
 SAITM  Admission Open for all courses 2021. Apply Now
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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