IIT JAM Test Series 2025: Mathematics

To ace the IIT JAM Mathematics 2025 exam, it is crucial to be well-versed with the syllabus and focus on all major topics systematically. The exam covers a range of mathematical concepts, which can be broadly categorized into the following subjects:
Integral Calculus: Understanding the various techniques of integration, applications of definite integrals, improper integrals, and computing areas and volumes using integration. Integral calculus is a significant part of the IIT JAM Mathematics syllabus, and mastering it can help in solving a large number of questions efficiently.
Linear Algebra: Linear algebra forms the foundation for various other topics in the IIT JAM Mathematics syllabus. It includes vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, matrix theory, and their properties. Strengthening your skills in linear algebra is vital for scoring high in IIT JAM Mathematics.
Real Analysis: This topic deals with sequences and series, continuity, differentiability, and integration of functions. Understanding real analysis is essential for solving problems involving limits, continuity, and integrability, which frequently appear in IIT JAM Mathematics questions.
Ordinary Differential Equations (ODEs): The IIT JAM Mathematics syllabus includes first-order and second-order differential equations, exact equations, integrating factors, and methods to solve various types of ODEs. It is crucial to practice a wide variety of problems to become proficient in solving differential equations.
Group Theory: Group theory in the IIT JAM Mathematics syllabus covers cyclic groups, Abelian groups, subgroups, normal subgroups, class equations, and group homomorphisms. It requires a deep understanding of abstract algebraic structures, which are commonly tested in the exam.