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IIT JAM Mathematics Syllabus 2024 (Available) – Get MA Syllabus PDF Here

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IIT JAM Mathematics Syllabus 2024 has been released officially by the IIT JAM 2024 authority online. Students can download the IIT JAM 2024 Syllabus in 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 Madras conducts the IIT JAM 2024 Exam. For better preparation, Candidates can also Download other Syllabus in PDF format.

Mathematics

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, maxima, and minima.

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    10. Jaipuria Institute of Management | Admissions Open for All Courses 2024. Apply Now
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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, Cauchy-Euler 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, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms, and basic concepts of quotient groups.

Linear Algebra

Finite-dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues, and eigenvectors for matrices, Cayley-Hamilton theorem.

Latest Applications For Various UG & PG Courses Open 2024

    1. Parul University | Admissions Open for All Courses 2024. Apply Now
    2. Chandigarh University | Admissions Open for All Courses 2024. Apply Now
    3. IIAD, Delhi | Admissions Open for All Courses 2024. Apply Now
    4. GIBS, Bangalore |  PGDM Applications Open. Package upto 15.5 LPA. Apply Now
    5. GNIOT, Greater Noida | Admissions Open for All Courses 2023. Apply Now
    6. The Design Village | Admissions Open for All Courses 2024. Apply Now
    7. IMS Ghaziabad UC Campus | Admissions Open for All Courses 2024. Apply Now
    8. KIIT School of Management | Admissions Open for All Courses 2024. Apply Now
    9. KSRM | Admissions Open for All Courses 2024. Apply Now
    10. Jaipuria Institute of Management | Admissions Open for All Courses 2024. Apply Now
    11. NIIT | Admissions Open for All Courses 2024. Apply Now
    12. MITWPU | Admissions Open for All Courses 2024. Apply Now
    13. Amrita B.Tech | Admissions Open for All Courses 2024. Apply Now
    14. KL University | Admissions Open for All Courses 2024. Apply Now
    15. Alliance MBA | Admissions Open for All Courses 2024. Apply Now
    16. Alliance UG | Admissions Open for All Courses 2024. Apply Now
    17. GD Goenka | Admissions Open for All Courses 2024. Apply Now

Real Analysis

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, term-wise differentiation, and power series integration.

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