GATE 2025 has been scheduled to be held on  1, 2, 15 and 16 February. The GATE 2025 Mathematics exam demands precise knowledge of high-weightage topics, with Calculus at the forefront, consistently covering 18-20% of the paper. This includes core areas like multivariable functions, integrals, and maxima-minima. Linear Algebra follows closely, contributing 15-18% and focusing on vector spaces, eigenvalues, and transformations.

Real Analysis comprises 10-12%, testing concepts in metric spaces, sequences, and functions. Complex Analysis and Ordinary Differential Equations (ODEs) each represent 10-15%, with emphasis on contour integration, residue calculations, and solution techniques for first-order equations.

Other topics include Algebra at 8-10% (group theory, rings), Partial Differential Equations (PDEs) at 8-10% (practical solution methods), Numerical Analysis at 5-8% (transforms and computational techniques), and Functional Analysis at 5-7% (Banach and Hilbert spaces).

This data-driven weightage distribution enables candidates to prioritize high-scoring areas, optimizing preparation time and enhancing exam performance by focusing strategically on key topics.

Here is a detailed analysis of GATE 2025 Mathematics syllabus with Preparation Strategy, Recommended Books and Previous Years’ Papers to help the candidate prepare effectively for the exam.

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GATE 2025 Mathematics Topic-Wise Weightage Analysis (2020 - 2024)

The Calculus carries the heaviest weight of 18% in the GATE 2025 Mathematics paper. Linear Algebra follows, weighing at 15%, focusing on vector spaces and eigenvalues. Real and Complex Analysis each carry a weight of 10%, covering concepts like metrics and contour integration. The solution techniques and stability analysis in ODEs also account for 10%.

Also check: GATE 2025 Mathematics Exam Pattern

GATE 2025 Mathematics topic-wise syllabus breakdown

1. Calculus

• Key Subtopics: Continuity, Partial Derivatives, Maxima and Minima, Double and Triple Integrals.

• Average Difficulty Level: Moderate to High.

• Importance: High, as Calculus questions constitute roughly 15-20% of the total exam.

2. Linear Algebra

• Key Subtopics: Vector Spaces, Matrix Transformations, Eigenvalues and Eigenvectors, Jordan Canonical Form.

• Average Difficulty Level: Moderate.

• Importance: Moderate, with consistent 10-12% weightage over the years.

Also check: GATE 2025 Mathematics Key topics analysis

GATE 2025 Mathematics Year-wise Trends

Based on surveys of candidates and data from leading education portals, the difficulty level and scoring trends of the GATE Mathematics paper are summarized below:

GATE 2025 Mathematics Recommended Books

Students’ preferences for study materials and books play a significant role in exam success. Here’s a comparison of popular resources based on user ratings and effectiveness:

Also check: GATE 2025 Mathematics Recommended Books

GATE 2025 Mathematics Exam schedule

To structure your preparation, here’s a suggested weekly study schedule based on topic weightage, average difficulty, and time requirements. This plan focuses on balancing high-weightage topics with complex areas that require more time for mastery.

GATE 2025 Mathematics Previous Year topic-wise questions

Analyzing question distribution over the years can help candidates focus on topics with historically high importance. Here’s a topic-wise distribution of questions from 2020 to 2024.

Also check:  GATE 2025 Mathematics Exam Pattern and Weightage analysis

GATE 2025 Mathematics Year-wise score analysis

According to surveys from GATE coaching institutes, here are some empirical insights into success rates based on different preparation strategies:

GATE 2025 Mathematics High-Weightage topics for Exam

For candidates aiming to optimize their scores, focusing on high-weightage topics can be essential. Below is a summary of top preparation tips for such areas.

1. Calculus (Average Weightage: 15-20%)

• Tips: Practice optimization problems involving Lagrange multipliers and double integrals, as these are frequent in exams.

• Key Resources: B.S. Grewal’s "Higher Engineering Mathematics" covers advanced calculus applications.

2. Linear Algebra (Average Weightage: 10-12%)

• Tips: Focus on eigenvalues, eigenvectors, and transformations, as these are common high-scoring areas.

• Key Resources: Gilbert Strang’s "Linear Algebra and Its Applications" for in-depth explanations.

3. Ordinary Differential Equations (Weightage: 8-10%)

• Tips: Master the Laplace transforms and power series methods as these often appear in GATE ODE sections.

• Key Resources: Erwin Kreyszig’s "Advanced Engineering Mathematics."

GATE 2025 Mathematics Mock Tests

Mock tests play a significant role in GATE preparation. According to student feedback, the average score increase attributed to regular mock test practice is notable:

Also check: GATE Mock Test 2025- Attempt free online Branch wise, Chapter wise and Subject wise Mock Test Series

GATE 2025 Mathematics Previous Years’ Papers with answer keys

Preparing for GATE 2025 Mathematics becomes much more effective by utilizing previous years' question papers. This allows aspirants to get familiar with the exam pattern, types of questions, and difficulty levels. 

All the GATE Mathematics papers from 2014 to 2024, along with answer keys, are included for comprehensive practice. Use the table below to easily download PDFs by year and session, and incorporate this valuable material into your studies.

Also check:

• GATE 2025 Mathematics Toppers' tips

• GATE 2025 Mathematics Previous Years' Papers 

• GATE 2025 Mathematics FAQs