Changes in the syllabus for the current year's IIT JAM Mathematics Exam

The syllabus for the IIT JAM Mathematics Exam is revised periodically to ensure that it aligns with the current trends and developments in the field of mathematics. The syllabus for the current year's exam has undergone a few changes compared to the previous years. The changes in the syllabus are as follows:

1. Introduction of new topics:
- Complex Analysis: The current year's syllabus includes topics such as Complex numbers, Analytic functions, Cauchy-Riemann equations, Contour integrals, and Residue theorem.
- Group Theory: The syllabus now covers topics like Groups, Subgroups, Cyclic groups, Cosets, Lagrange's theorem, Normal subgroups, Quotient groups, and Isomorphism theorems.
- Graph Theory: The new syllabus includes concepts of graphs, trees, connectivity, Eulerian and Hamiltonian graphs, Planarity, and Graph coloring.

2. Exclusion of certain topics:
- Linear Algebra: Some topics in Linear Algebra, such as Eigenvalues and Eigenvectors, have been removed from the current year's syllabus.
- Differential Equations: The topics of Partial Differential Equations and Linear Differential Equations of higher order have been excluded from the syllabus.

3. Changes in the emphasis of certain topics:
- Calculus: The syllabus now places more emphasis on topics like Sequences and Series, Functions of Several Variables, and Improper integrals.
- Real Analysis: The current year's syllabus has given more importance to topics such as Limits, Continuity, Differentiability, and Riemann integration.

4. Revised weightage:
- The weightage assigned to different topics in the mathematics syllabus may vary from year to year. It is essential for candidates to check the official notification or information bulletin of the IIT JAM exam to know the exact weightage assigned to each topic for the current year's exam.

It is highly recommended for aspirants to refer to the official IIT JAM Mathematics syllabus provided by the organizing institute to get accurate and up-to-date information about the topics to be covered for the current year's exam.