IIT JAM Mathematics 2026 Chapter-Wise Weightage

Real Analysis

21%

Calculus of Single Variable

18%

Linear Algebra

14%

Calculus of Two Variables

14%

Vector Calculus

12%

Differential Equation

11%

Abstract Algebra

10%

Section A

10

1

10

⅓

20

2

40

⅔

Section B

10

2

20

Not Applicable

Section C

10

1

10

Not Applicable

10

2

20

60

100

Sequences and Series of Real Numbers

• Real number sequences, sequence convergence, bounded and monotone sequences, and convergence criteria for real number sequences are all covered in this topic. Bolzano-Weierstrass theorem, Cauchy sequences, and subsequences are additional considerations
  
• Additionally, there are a series of real numbers, absolute convergence, tests for series of positive terms that include comparison tests, ratio tests, root tests, and Leibniz tests for alternating series convergence, among others

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, and homogeneous differential equations are all covered in this section
  
• There are also variable separable equations and linear differential equations with constant coefficients that are only for second order. There is also the method of parameter variation, the Cauchy-Euler equation

Integral Calculus

• This section contains information on Integration, which is defined as the inverse process of differentiation, as well as definite integrals and all the properties associated with the fundamental theorem of calculus
  
• Aside from that, there are double and triple integrals, information on changing the order of integration, the process of calculating surface areas and volumes using double integrals, and calculating volumes using triple integrals

Linear Algebra

• Finite dimensional vector spaces, linear independence of vectors, their basis and dimension, linear transformations, information on matrix representation, range space with null space, and the rank-nullity theorem are all topics covered in this section. Inverse and rank of a matrix, determinant, and all systems of solutions to linear equations are also covered
  
• On the other hand, consistency conditions are included in this section along with eigenvalues, eigenvectors for matrices, the Cayley-Hamilton theorem, etc

IIT JAM 2026 Physics: Mathematical Physics Important Topics and Weightage