Careers360 Logo
GATE Engineering Mathematics Syllabus 2025 with Topic Wise Weightage

GATE Engineering Mathematics Syllabus 2025 with Topic Wise Weightage

Edited By Jalla Venkatesh | Updated on Aug 23, 2024 11:24 AM IST | #GATE

GATE Engineering Mathematics Syllabus 2025 (XE - A): IIT Roorkee published the GATE 2025 Engineering Mathematics Syllabus on the official website, gate2025.iitr.ac.in. The authority has updated the GATE Engineering Mathematics Syllabus 2025 pdf free download online. GATE Engineering Maths is the section of the Engineering Sciences (XE Paper). The GATE 2025 syllabus includes linear algebra, calculus, vector calculus, complex variables, ordinary differential equations, partial differential equations, probability and statistics, and numerical methods. To score well in the Graduate Aptitude Test in Engineering, candidates must thoroughly prepare the entire GATE 2025 Engineering Mathematics syllabus. The authority will conduct the GATE 2025 exam on February 1, 2, 15 and 16, 2025, as a computer-based test (CBT).

GATE Engineering Mathematics Syllabus 2025 with Topic Wise Weightage
GATE Engineering Mathematics Syllabus 2025 with Topic Wise Weightage

GATE 2025 Engineering Maths Syllabus (XE - A)

Indian Institute of Technology Roorkee has published the GATE Engineering Mathematics syllabus 2025 on the official website. Candidates can check the GATE 2025 Engineering Maths syllabus in the table below.

GATE Engineering Mathematics Syllabus 2025

Chapter

Topics

GATE Engineering Mathematics Syllabus for Linear Algebra

Algebra of real matrices: Determinant, inverse and rank of a matrix; System of linear equations (conditions for unique solution, no solution and infinite number of solutions); Eigen values and eigen vectors of matrices; Properties of eigen values and eigen vectors of symmetric matrices, diagonalisation of matrices; Cayley-Hamilton Theorem.

GATE Engineering Mathematics Syllabus for Calculus

Functions of Single Variable: Limit, indeterminate forms and L'Hospital's rule; Continuity and differentiability; Mean value theorems; Maxima and minima; Taylor's theorem; Fundamental theorem and mean value theorem of integral calculus; Evaluation of definite and improper integrals; Applications of definite integrals to evaluate areas and volumes (rotation of a curve about an axis).

Functions of Two Variables: Limit, continuity and partial derivatives; Directional derivative; Total derivative; Maxima, minima and saddle points; Method of Lagrange multipliers; Double integrals and their applications.

Sequences and Series: Convergence of sequences and series; Tests of convergence of series with non-negative terms (ratio, root and integral tests); Power series; Taylor's series; Fourier Series of functions of period 2π.

GATE Engineering Mathematics Syllabus for Vector Calculus

Gradient, divergence and curl; Line integrals and Green's theorem.

GATE Engineering Mathematics Syllabus for Complex variables

Complex numbers, Argand plane and polar representation of complex numbers; De Moivre’s theorem; Analytic functions; Cauchy-Riemann equations.

GATE Engineering Mathematics Syllabus for Ordinary Differential Equations

First-order equations(linear and nonlinear); Second-order linear differential equations with constant coefficients; Cauchy-Euler equation; Second-order linear differential equations with variable coefficients; Wronskian; Method of variation of parameters; Eigenvalue problem for second-order equations with constant coefficients; Power series solutions for ordinary points.

GATE Engineering Mathematics Syllabus for Partial Differential Equations

Classification of second-order linear partial differential equations; Method of separation of variables: One-dimensional heat equation and two-dimensional Laplace equation.

GATE Engineering Mathematics Syllabus for Probability and Statistics

Axioms of probability; Conditional probability; Bayes' Theorem; Mean, variance and standard deviation of random variables; Binomial, Poisson and Normal distributions; Correlation and linear regression.

GATE Engineering Mathematics Syllabus for Numerical Methods

Solution of systems of linear equations using LU decomposition, Gauss elimination method; Lagrange and Newton's interpolations; Solution of polynomial and transcendental equations by Newton-Raphson method; Numerical integration by trapezoidal rule and Simpson's rule; Numerical solutions of first-order differential equations by explicit Euler's method.

Related links:

GATE 2025 Exam Pattern for XE (Engineering Mathematics)

Particulars

Details

Examination Mode

Computer Based Test (Online)

Duration

3 Hours

Section

General Aptitude (GA)

Candidate Selected Subject

Type of Questions

Multiple Choice Questions (MCQs)

Multiple Select Questions (MSQs)

Numerical Answer Type (NAT) Questions

Total Marks

100 Marks

Marking Scheme

All of the questions will be worth 1 or 2 marks

GATE Negative Marking

  • MCQs - 1 mark for each correct answer; 1/3 mark will be deducted for every wrong answer.

  • MCQs - 2 marks for each correct answer; 2/3 marks will be deducted for every incorrect response.

  • No negative marking for MSQ & NAT.

  • No partial marking for MSQ-type questions.

Related links:

Frequently Asked Questions (FAQs)

1. Is the GATE Engineering Mathematics Syllabus 2025 released?

Yes, GATE Engineering Mathematics Syllabus 2025 has been released on the official website.

2. What is the syllabus of GATE 2025 Engineering Maths?

The syllabus of GATE 2025 Engineering Mathematics includes topics such as linear algebra, calculus, vector calculus, complex variables, ordinary differential equations, partial differential equations, probability and statistics, and numerical methods.

3. When should a student start preparing for GATE?

The ideal time to start GATE preparation is during the pre-final year of undergraduate studies.

4. Where can I download the GATE 2025 syllabus PDF?

You can download the GATE 2025 syllabus PDF from the official website.

Articles

Certifications By Top Providers

Explore Top Universities Across Globe

Questions related to GATE

Have a question related to GATE ?

As a student pursuing a B.A. in Arts, Humanities, and Social Sciences from CSJMU, you are currently not eligible to appear for the GATE (Graduate Aptitude Test in Engineering) exam, as GATE primarily focuses on science, engineering, and technology disciplines. The eligibility criteria for GATE require candidates to hold a Bachelor's degree in Engineering/Technology/Architecture or a Master’s degree in Science, Mathematics, Statistics, or related fields.


However, the GATE exam has been expanding in recent years to include certain subjects under Humanities and Social Sciences, such as:


- Economics (XE)

- English (XH)

- Psychology (XH)

- Linguistics (XH)

- Philosophy (XH)

- Sociology (XH)


If your field of study falls within one of these specific subjects, you may be eligible to apply for GATE in the respective discipline. In this case, you would need to focus on preparing for the relevant subject, as GATE tests in these areas will have different syllabi compared to engineering fields.


If your B.A. does not align with any of these subjects, you will not be eligible for GATE. Consider pursuing a postgraduate degree in a related field if you wish to qualify for the exam in the future.

If you accidentally mentioned the wrong passing year in your GATE 2025 application form, it's important to address this issue to avoid any potential complications. Here’s what you should consider:


1. **Check the Guidelines**:

- **Refer to the GATE Brochure**: Review the GATE 2025 information brochure or official guidelines to understand the procedure for correcting application details. Most examination authorities provide specific instructions for making corrections.


2. **Contact the Exam Authorities**:

- **Reach Out for Clarification**: Contact the GATE organizing institute or the examination authorities via their official contact channels (email, helpline) to explain the mistake and seek guidance on whether you need to make a correction.

- **Follow Their Instructions**: If they advise making a correction, follow their instructions carefully to update the passing year in your application.


3. **Check for Correction Window**:

- **Look for Correction Period**: GATE applications typically have a correction window period where you can amend details. Verify if this period is available and use it to correct the passing year if necessary.


4. **Submit Correct Information**:

- **Update Your Records**: If correction is allowed, ensure you provide accurate information to avoid any issues during the examination or in the verification process.


5. **Documentation**:

- **Keep Proof**: Retain any communication or documentation related to the correction request for future reference, in case it is needed for verification.


Correcting the mistake is crucial because discrepancies in application details can lead to complications during the examination process or verification stages. Taking prompt action will help ensure that your application is processed smoothly and accurately.

A person with a valid GATE score more than 700 get call for interview and rank under 2k in most of the IITs in CS candidates can apply to some other departments too, but that depends on the course being offered by the institute and the individuals interest.

Sometimes rank below this are also get call for interview in new ones but several factors such as the cutoff ranks for different institutes, the number of seats available, and the competition in the particular year changes cutoff every year.

Hello,

If you've made a mistake in your GATE application form, such as entering incorrect qualification information, you may be able to correct it during the correction window that GATE provides. The correction window is usually opened after the application process closes, allowing candidates to rectify specific errors like qualification details, category, or exam city.

Also, you should check the official GATE website for the correction schedule and the list of fields that can be edited. If the mistake cannot be corrected, contact the GATE organizing body immediately for further guidance.

Hope it helps !

Hey there I am glad to help you out i hope this helps you

Your GATE (Graduate Aptitude Test in Engineering) score from 2024 will not be deleted when you take the exam again in 2025. GATE scores are typically valid for three years from the date of the exam. This means that if you took the GATE in 2024 and again in 2025, both scores will be valid for college admissions during their respective validity periods.

You can apply to colleges using the best score out of the two. Many institutions consider the highest score if you have taken the exam multiple times within the validity period.

Ensure you check with the specific institutions you're applying to regarding their policies on multiple GATE scores.

Flight Attendant
3 Jobs Available
Aerospace Engineer
2 Jobs Available
Flight Engineer

A career in the aviation industry always sounds exciting. But, there is no scope for the slightest error as it may cost the lives of many people. A Flight Engineer role comes with the responsibility of monitoring the aircraft engine and control systems while in flight. Whenever the aircraft is away from the home station, he or she is required to perform pre-flight and post-flight inspections

2 Jobs Available
Aircrew officer

An aircrew officer or airline commanders fly aircraft to provide transportation to passengers or cargo. The aircrew officer operates the engines of aircraft and controls to navigate and fly the airplane. The ability to learn new technologies every time and to stay up-to-date with the changes in the industry is what the aircrew officer should possess. 

This could be possible through membership with professional pilot associations. The aircrew officer is also one of the highest-paid professionals and the job is quite coveted. Keep reading to find out what you need to know about how to become aircrew officer.

You may also read career as Airline Pilot.

2 Jobs Available
Air Hostess
2 Jobs Available
Aeronautical Engineer

An Aeronautical Engineer job comes with the responsibility of designing aircraft and thrust systems. He or she is employed in aviation, defence or civil aviation industries. Aeronautical Engineer is generally engaged in the design of aircraft and propulsion systems as well as the analysis of building materials and aircraft's aerodynamic performance. The role of an Aeronautical Engineer may involve assembling parts of aircraft, testing and maintaining them. 

2 Jobs Available
Safety Manager

A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

2 Jobs Available
Airline Pilot

Are you searching for an 'airline pilot job description'? An airline pilot or airline commander flies aircraft and helicopters to provide transportation to passengers or cargo. The airline pilot operates the engines of the aircraft and controls them to navigate and fly the airplane. The ability to learn new technologies every time and to stay up-to-date with the changes in the industry is what aviators should possess. The career as airline pilot is also one of the highest-paid professionals and the job is quite coveted.

1 Jobs Available
Welding Engineer

Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues. 

5 Jobs Available
Transportation Planner

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available
Environmental Engineer

Individuals who opt for a career as an environmental engineer are construction professionals who utilise the skills and knowledge of biology, soil science, chemistry and the concept of engineering to design and develop projects that serve as solutions to various environmental problems. 

2 Jobs Available
Safety Manager

A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

2 Jobs Available
Conservation Architect

A Conservation Architect is a professional responsible for conserving and restoring buildings or monuments having a historic value. He or she applies techniques to document and stabilise the object’s state without any further damage. A Conservation Architect restores the monuments and heritage buildings to bring them back to their original state.

2 Jobs Available
Structural Engineer

A Structural Engineer designs buildings, bridges, and other related structures. He or she analyzes the structures and makes sure the structures are strong enough to be used by the people. A career as a Structural Engineer requires working in the construction process. It comes under the civil engineering discipline. A Structure Engineer creates structural models with the help of computer-aided design software. 

2 Jobs Available
Highway Engineer

Highway Engineer Job Description: A Highway Engineer is a civil engineer who specialises in planning and building thousands of miles of roads that support connectivity and allow transportation across the country. He or she ensures that traffic management schemes are effectively planned concerning economic sustainability and successful implementation.

2 Jobs Available
Field Surveyor

Are you searching for a Field Surveyor Job Description? A Field Surveyor is a professional responsible for conducting field surveys for various places or geographical conditions. He or she collects the required data and information as per the instructions given by senior officials. 

2 Jobs Available
Geothermal Engineer

Individuals who opt for a career as geothermal engineers are the professionals involved in the processing of geothermal energy. The responsibilities of geothermal engineers may vary depending on the workplace location. Those who work in fields design facilities to process and distribute geothermal energy. They oversee the functioning of machinery used in the field.

3 Jobs Available
Geologist
2 Jobs Available
Energy Performance Engineer

Energy efficiency engineering is a broad field of engineering which deals with energy efficiency, energy services, facility management, plant engineering, and sustainable energy resources. Energy efficiency engineering is one of the most recent engineering disciplines to emerge. The field combines the knowledge and understanding of physics, chemistry, and mathematics, with economic and environmental engineering practices. The main job of individuals who opt for a career as an energy performance engineer is to find the most efficient and sustainable path to operate buildings and manufacturing processes. 

Individuals who opt for a career as energy performance engineers apply their understanding and knowledge to increase efficiency and further develop renewable sources of energy. The energy efficiency engineers also examine the use of energy in those procedures and suggest the ways in which systems can be improved.

2 Jobs Available
Petroleum Engineer

A career as a Petroleum engineer is concerned with activities related to producing petroleum. These products can be in the form of either crude oil or natural gas. Petroleum engineering also requires the exploration and refinement of petroleum resources. Therefore, a career as a petroleum engineer comes up with oil and gas onshore jobs. There are also desk jobs in the petroleum industry. In layman’s terms, a petroleum engineer is a person who finds the best way to drill and extract oil from oil wells. Individuals who opt for a career as petroleum engineer also tries to find new ways to extract oil in an efficient manner.

2 Jobs Available
Transportation Planner

A career as Transportation Planner requires technical application of science and technology in engineering, particularly the concepts, equipment and technologies involved in the production of products and services. In fields like land use, infrastructure review, ecological standards and street design, he or she considers issues of health, environment and performance. A Transportation Planner assigns resources for implementing and designing programmes. He or she is responsible for assessing needs, preparing plans and forecasts and compliance with regulations.

3 Jobs Available
Civil Engineer

A career as a civil engineer is of great importance for the infrastructural growth of the country. It is one of the most popular professions and there is great professional as well as personal growth in this civil engineering career path. There is job satisfaction in this civil engineering career path, but it also comes with a lot of stress, as there are multiple projects that need to be handled and have to be completed on time. Students should pursue physics, chemistry and mathematics in their 10+2 to become civil engineers. 

2 Jobs Available
Transportation Engineer

A career as a Transportation Engineer is someone who takes care of people's safety. He or she is responsible for designing, planning and constructing a safe and secure transportation system. The transportation sector has seen a huge transformation and is growing day by day and improving every day. 

As a Transport Engineer, he or she needs to solve complex problems such as accidents, costs, traffic flow, and statistics. A Transport Engineer also collaborates for projects with some other companies. 

1 Jobs Available
Loco Pilot
2 Jobs Available
Back to top