IIT JAM 2026 Mathematics High Weightage Topics, Important Questions

IIT JAM 2026 Mathematics High Weightage Topics help candidates become aware of how the exam is structured. Every subject in the IIT JAM has a specific mark contribution. This information helps candidates plan their preparation efficiently. Focusing on high-weight sections first ensures better scores in the final exam.

Students also need to know the important topics under each subject in the IIT JAM Mathematics Syllabus. This prevents missing out on key areas. With this approach, aspirants can practice effectively and revise properly, making their preparation more organised and focused. This exam preparation method reduces stress and improves confidence before the exam.

IIT JAM 2026 Mathematics High Weightage Topics Overview

Candidates should start preparation by knowing how the IIT JAM 2026 paper is divided. The given table shows the approximate marks for each section based on recent trends. Understanding this helps students divide their study hours properly and focus on high-weight areas.

Students can plan which sections to prioritize during practice tests while preparing for IIT JAM 2026. Allocating time according to weightage allows aspirants to improve speed and accuracy. This early planning helps maintain a balanced approach and reduces last-minute stress.

Note: Candidates should note that with the removal of Vector Calculus, the weightage for Ordinary Differential Equations has seen a significant increase.

Section Wise IIT JAM 2026 Mathematics High Weightage Topics

This section covers crucial IIT JAM 2026 concepts. It provides structured notes for each important topic. These summaries aid quick understanding and effective revision.

Linear Algebra

Linear Algebra forms a significant portion of the exam. These concepts are vital for IIT JAM 2026.

• Vector Space and Subspace: Understand the definitions and properties. Know how to prove if a given set forms a vector space or subspace.

• Linear Independence and Dependence: Identify if a set of vectors is linearly independent (LI) or linearly dependent (LD).

• Basis and Dimension: Find a basis for a vector space or subspace. Calculate the dimension, which is the number of elements in a basis.

• Linear Transformation: Determine if a map is a linear transformation. Check if it is one-one or onto using the Kernel and Range Space.

• Rank of Matrix: Learn methods to compute the rank of any matrix.

• System of Linear Equations: Analyze homogeneous and non-homogeneous systems. Determine conditions for consistency and existence of trivial or non-trivial solutions.

• Eigenvalue and Eigenvector: Calculate eigenvalues and eigenvectors for matrices and linear transformations.

Real Analysis (Functions of One and Several Variables)

Real Analysis topics require strong conceptual clarity.

• Limit, Continuity, Differentiability (L-C-D): Apply these concepts to functions of one and several variables. Understand their definitions and tests.

• Directional Derivative: Learn to compute the directional derivative for functions of several variables. This is a very important topic.

• Maxima and Minima: Find maximum and minimum values of functions. Focus on functions of one variable and functions of two variables.

Ordinary Differential Equations (ODE)

Ordinary Differential Equations hold increased weightage.

• Orthogonal Trajectory: Calculate orthogonal trajectories for given families of curves. This topic frequently appears in exams.

• Wronskian: Compute the Wronskian of a set of solutions. Apply Abel's Formula for its determination.

• Second Order Linear ODE: Solve second order linear differential equations. Cover both constant and variable coefficients. Find the Complementary Function (CF) and Particular Integral (PI).

• Exact Differential Equations: Identify and solve exact differential equations.

Group Theory

Group Theory involves abstract concepts requiring careful study.

• Definitions: Understand fundamental definitions of Group, Subgroup, Cyclic Group, and Abelian Group.

• Sylow's Theorem: Learn and apply Sylow's Theorems, especially for finite groups.

• Homomorphism: Determine the number of possible homomorphisms between two given groups.

Integral Calculus

Integral Calculus focuses on multi-variable integration techniques.

• Surface Integral and Surface Area: Calculate surface integrals and the surface area of various 3D surfaces. This is a high-probability question area.

• Change of Order of Integration: Master changing the order of integration in double and triple integrals.

Key Rules of IIT JAM 2026 Mathematics High Weightage Topics

Understanding these key rules from IIT JAM 2026 Mathematics High Weightage Topics helps solve problems faster.

Rank-Nullity Theorem

For a linear transformation T: V \to W, the dimension of the domain V equals the sum of the rank of T and the nullity of T. It connects the dimensions of the kernel and range spaces.

Wronskian Properties

If a set of solutions to an ODE is linearly dependent, their Wronskian is zero. If they are linearly independent, the Wronskian is never zero over the interval of consideration.

Sylow's First Theorem Basics

For a finite group G and a prime p dividing the order of G, there exists a Sylow p-subgroup of G. The order of this subgroup is , where is the highest power of p dividing the order of G.

IIT JAM 2026 Mathematics Important Topics & Questions

Students must focus on important topics in each subject. Covering these topics can help students prepare for the most expected questions in IIT JAM 2026. Practicing these topics regularly helps improve the accuracy and speed of the aspirants. The table below lists all the main topics for each section. Students should make notes and revise these multiple times. Combining reading with solving past questions will make preparation more effective.

Note: These topics cover a major portion of the IIT JAM Mathematics Syllabus. Candidates should also refer to the official portal for any latest updates.

IIT JAM 2026 Preparation Tips

Preparing for IIT JAM 2026 requires a clear plan and regular practice. Students should begin by understanding the subject-wise weightage and key topics for each section. Some useful preparation tips include:

• Make a study schedule focusing on Real Analysis and Linear Algebra first.

• Practice "Change of Order" in Integration as it is a highly expected topic.

• Focus on "System of Linear Equations" and "Eigenvalues" for guaranteed marks.

• Solve previous year question papers to understand the framing of questions.

• Use result-based theorems in Group Theory to save time during the exam.

• Regularly revise Ordinary Differential Equations, as its weightage has increased recently.