GATE 2025 Mathematics Syllabus: Important Topics, Weightage, and Preparation Strategy

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Updated on, Dec 17, 2024

bySahaj Anand Content Writer | Journalism Graduate

IIT Roorkee will be conducting the GATE 2025 Mathematics Exam, which is set for February 1, 2025. On July 1st, 2024, the GATE 2025 mathematics syllabus was made public. It covers subjects like probability, differential equations, calculus, and linear algebra. According to historical patterns, mathematics typically accounts for 10–15% of the overall GATE score in several streams, making it a highly scoring subject properly prepared.

This Article compiles the syllabus, offers study advice, and addresses commonly asked questions to help you pass the GATE 2025 Maths exam with confidence.

GATE 2025 Maths Syllabus Trending News

Is the GATE 2025 Syllabus Released?

Yes, the GATE 2025 syllabus, including the Mathematics syllabus, was officially released on 1st July 2024.

Aspirants can access the syllabus on the official GATE website

To guarantee that applicants receive up-to-date and correct material, the website offers a thorough curriculum breakdown for every stream, including mathematics.

You Can Also Download:

What Math is in the GATE 2025?

Mathematics is characterized by an extensive body of basic to advanced ideas in the GATE 2025 syllabus. The skills tested include analytical abilities and problem-solving; theory comprehension and applicability thereof are supposed to be appraised through such topics. This makes mathematics an area of high but tough marks in the exam.

Key areas in the syllabus include:

  • Linear Algebra: Covering matrices, determinants, eigenvalues, eigenvectors, and systems of linear equations.
  • Calculus: Including limits, continuity, differentiability, maxima-minima, and multiple integrals.
  • Probability and Statistics: Focusing on probability distributions, mean, variance, and hypothesis testing.
  • Differential Equations: Encompassing first-order, higher-order, and partial differential equations.
  • Numerical Methods: Covering interpolation, numerical integration, and methods for solving equations.
  • Complex Analysis: Dealing with functions of a complex variable, contour integration, and Cauchy's theorems.

For a Brief explanation, you can download the GATE 2025 Maths Syllabus- GATE MA Syllabus

Will GATE 2025 Be Tough?

The difficulty of GATE 2025 depends on various factors, including the:

  • Syllabus
  • Question Paper
  • Competition Level

Historically, GATE is considered a challenging exam due to its emphasis on conceptual clarity, analytical skills, and application-oriented questions. However, with the right preparation strategy, it is manageable.

Previous Year Difficulty Analysis

For several years, GATE mathematics was on a cycle of fluctuating levels of difficulty across various papers. In that respect, a rough overview of the trends of changing levels of difficulty has been drawn based on recent years:

Year Difficulty Level Key Observations
2021 Moderate to Difficult Questions focused heavily on concepts and derivations.
2022 Moderate Balanced paper with straightforward and tricky problems.
2023 Difficult Complex numerical problems require advanced problem-solving skills.
2024 Moderate to Difficult Emphasis on core topics like Calculus and Probability.

What to Expect in GATE 2025?

  1. Conceptual Depth: GATE exams have consistently emphasized conceptual understanding. Questions often integrate topics, requiring candidates to apply multiple concepts to solve a problem.
  2. Time Management Challenge: As in previous years, time management will be crucial. Solving numerical and theoretical questions within the allotted time can be tough without sufficient practice.
  3. Increased Competition: The number of applicants for GATE has been rising, increasing competition and the effort required to secure a top score.

When Should I Start Preparing for GATE 2025?

GATE 2025 will be conducted on February 1, 2025. The best time to start preparing depends on what you know about the syllabus, but starting early will always give you a considerable advantage. Here's a quick guide to help you decide when to start your preparations:

Recommended Preparation Timelines for GATE 2025

Preparation Time Recommended For Focus Benefits
18-24 months before Early starters, freshers, or students with a basic understanding
  • In-depth concept building
  • Thorough revision
  • Strong foundation in all topics
  • Ample time for practice
12 months before Dedicated students aiming for balanced preparation
  • Syllabus completion
  • Regular practice & revision
  • Complete syllabus on time
  • Better speed & accuracy
6-8 months before Last-minute intensive preparation for students with prior knowledge
  • Focus on high-weightage topics
  • Intensive practice
  • Quick revision
  • Improve time management and accuracy

With less than 2 months remaining for GATE 2025, it’s time to switch to an intensive and focused strategy. Here’s a crisp plan to help you maximize your preparation in this limited time:

Last 2-Month Preparation Plan

Weeks Focus Activities
Week 1-4 Revise core topics and high-weightage areas
  • Focus on Mathematics (Linear Algebra, Calculus, Probability)
  • Solve 1-2 mock tests weekly
  • Practice previous years' questions
Week 5-6 Intensive problem-solving and revision
  • Take 2-3 mock tests per week
  • Revise short notes and formula sheets daily
  • Focus on weak areas based on mock test analysis
Last 1 Week Final revision and relaxation
  • Focus on quick revision of formulas and key concepts
  • Solve selective mock tests to keep practicing speed
  • Avoid learning new concepts

By following this strategy, you’ll optimize your preparation and increase your chances of success in GATE 2025.

How to Prepare for GATE 2025 Mathematics?

The Mathematics section of GATE 2025 would play a major role in securing a good score and is considered important at the same weight in many engineering disciplines. Strategic preparation for this section should be done to score maximum marks. Here is a detailed guide to preparing effectively for GATE 2025 Mathematics-understanding the exam pattern and the weightage-wise analysis of important topics.

Understand the GATE 2025 Exam Pattern

The GATE 2025 exam consists of multiple-choice questions (MCQs), multiple-select questions (MSQs), and numerical answer-type questions (NATs). The structure of the exam is as follows:

Component Details
Total Marks 100 marks
Duration 3 hours
Total Questions 65 questions
Mathematics Section 15-20 questions, usually accounting for 15-20 marks
Subject-Specific Questions 45-50 questions related to the engineering discipline
  • General Aptitude (GA): 15% of the total marks (15 questions)
  • Engineering Mathematics: 13-18% of the total marks (15-20 questions)
  • Core Subject: The remaining 60-70% of the exam marks

Mathematics Weightage-wise Breakdown for GATE 2025

For proper preparation, prioritization should be given to the topics which carry high weightage. Below is a distribution of the important topics in the GATE Mathematics syllabus based on their weightage from previous years.

Topic Weightage Key Areas to Focus On
Linear Algebra 10-15%
  • Matrix operations
  • Eigenvalues and Eigenvectors
  • Determinants
Calculus 20-25%
  • Limits, continuity, and differentiability
  • Maxima, minima, and integration
Differential Equations 15-20%
  • First-order differential equations
  • Higher-order differential equations
  • Partial differential equations
Probability & Statistics 10-15%
  • Probability distributions
  • Mean, variance, and standard deviation
  • Hypothesis testing
Complex Analysis 5-10%
  • Functions of a complex variable
  • Contour integration and Cauchy’s theorem
Numerical Methods 10-15%
  • Numerical solutions for integration, differentiation, and roots of equations
Transforms 5-10%
  • Laplace transform, Fourier transform, Z-transform

Key Preparation Tips for Mathematics

  • Start with Basics: Strengthen your foundation in core mathematics concepts like algebra, calculus, and probability before diving into advanced topics.
  • Practice, Practice, Practice: Mathematics requires continuous problem-solving. Practice a wide variety of problems to improve speed and accuracy.
  • Focus on Previous Year Papers: Solving previous years’ GATE papers helps you understand the type of questions asked and the difficulty level.

GATE Mathematics Previous Year Question Papers

Session Question Paper PDF
2024 Check Here
2023 Check Here
2022 Check Here
2021 Check Here
2020 Check Here

By following this focused preparation strategy, you can effectively tackle the Mathematics section in GATE 2025 and boost your chances of success.

Detailed Breakdown of GATE 2025 Mathematics Syllabus

Many of the topics covered in the GATE 2025 Mathematics syllabus are crucial for assessing a candidate's capacity for analysis and problem-solving. A general summary of the mathematics curriculum is provided here, with important subjects divided into the appropriate parts.

1. Linear Algebra

Linear Algebra is a vital topic with significant weightage. Here’s a breakdown of the key concepts you should focus on:

Sub-topic Key Areas
Matrices and Determinants
  • Properties of matrices
  • Rank, inverse, and determinants
Eigenvalues and Eigenvectors
  • Eigenvalue problems
  • Diagonalization, characteristic equation
Systems of Linear Equations
  • Solution of homogeneous and non-homogeneous systems
  • Gauss-Jordan elimination

2. Calculus

Calculus has one of the highest weightage in the GATE exam. Focus on both differential and integral calculus for better preparation.

Sub-topic Key Areas
Differentiation
  • Derivatives of standard functions
  • Chain rule, product rule
Integration
  • Techniques of integration
  • Definite and indefinite integrals
Applications
  • Maxima and minima
  • Area under curves, optimization
Partial Differentiation
  • Functions of several variables
  • Total derivatives and chain rule
Multiple Integrals
  • Double and triple integrals
  • Applications in volume and surface area

3. Differential Equations

Differential Equations are essential for understanding many applied engineering concepts.

Sub-topic Key Areas
First-Order Differential Equations
  • Separable, linear, and exact equations
Higher-Order Differential Equations
  • Solution of linear differential equations with constant coefficients
Partial Differential Equations
  • Method of separation of variables
  • Wave, heat, and Laplace equations

4. Probability and Statistics

Probability and Statistics are important for analyzing and modeling data.

Sub-topic Key Areas
Probability Distributions Binomial, Poisson, normal distributions conditional probability
Random Variables Discrete and continuous random variablesExpectation, variance
Statistical Inference Hypothesis testing Confidence intervals, regression analysis

5. Complex Analysis

This topic deals with the functions of a complex variable and is relatively theoretical but important.

Sub-topic Key Areas
Analytic Functions
  • Cauchy-Riemann equations
  • Harmonic functions
Contour Integration
  • Cauchy’s integral theorem
  • Residue theorem, evaluation of integrals
Complex Integrals
  • Evaluation of real integrals using complex methods

6. Numerical Methods

Numerical Methods cover a range of techniques to solve mathematical problems computationally.

Sub-topic Key Areas
Numerical Solutions Bisection method, Newton-Raphson method for roots
Numerical Integration Trapezoidal rule, Simpson’s rule
Differential Equations Euler’s method, Runge-Kutta methods for solving ODEs

7. Transforms and Fourier Series

Transforms are used in analyzing signals and systems.

Sub-topic Key Areas
Laplace Transform
  • Basic transforms, inverse Laplace transform
  • Applications in solving ODEs
Fourier Transform
  • Fourier series and Fourier integral
Z-Transform
  • Z-transform, inverse Z-transform
  • Applications in signal processing

8. Vector Calculus

Vector Calculus deals with vector fields and operations like gradient and divergence.

Sub-topic Key Areas
Gradient, Divergence, Curl The gradient of a scalar field, divergence, and curl of vector fields
Stokes’ and Gauss's Theorem Stokes’ theorem, Gauss's divergence theorem

Important Topics and Their Weightage for GATE 2025 Mathematics

Here’s a consolidated table for all the important Mathematics topics and their respective weightage in GATE 2025.

Topic Weightage
Calculus 20-25%
Linear Algebra 10-15%
Differential Equations 15-20%
Probability and Statistics 10-15%
Numerical Methods 10-15%
Transforms 5-10%
Complex Analysis 5-10%
Vector Calculus 5-10%

GATE 2025 Mathematics is going to focus on Calculus, Differential Equations, and Linear Algebra, which adds up to more than 60% of the total marks. The analysis in previous years has shown that the subjects of Calculus and Differential Equations are going to the most weightage consistently, making them critical in any overall performance.

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

Fees Structure

Structure based on different categories

CategoriesState
General1800
Women900
sc900
pwd900

Note: GATE 2024 Application Fee needs to be paid online through net banking or debit card or credit card facilities. Additional charges will be applicable as per the rule of the bank from where the money is being transferred. This charge will be specified on the payment portal.

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