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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).
New: GATE 2025 Application Form Out; Apply Now
GATE 2025: Sample Papers | Syllabus
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. |
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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 |
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Yes, GATE Engineering Mathematics Syllabus 2025 has been released on the official website.
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.
The ideal time to start GATE preparation is during the pre-final year of undergraduate studies.
You can download the GATE 2025 syllabus PDF from the official website.
Counselling Date:23 September,2024 - 27 September,2024
Counselling Date:27 September,2024 - 28 September,2024
Hello,
Don't worry, a slight misalignment of the signature in the downloaded GATE 2025 application form printout is usually not a major issue. However, to avoid any potential problems, follow these steps:
Immediate Action:
1. Check the GATE 2025 guidelines: Ensure signature alignment isn't explicitly mentioned as a critical requirement.
2. Contact GATE 2025 support: Reach out to the official GATE 2025 helpline or email (gate2025@iitk.ac.in) and report the issue
Possible Solutions:
1. Re-upload signature: If permitted, re-upload a corrected signature.
2. Rectify during document verification: If selected, you can rectify the signature issue during document verification.
Precautions:
1. Verify other application details: Double-check your application form for any other errors.
2. Keep proof of payment: Ensure you have the payment receipt.
Hello Neha,
Yes, you can still apply for PSU jobs under the PwD quota later, even if you give the GATE exam under the general category for now. The GATE exam itself doesn’t restrict you from applying to jobs under a different category later, as it only reflects your score and rank, not your category.
When applying for PSU jobs, you'll have the option to apply under the PwD category, provided you have the valid UDID certificate by then. Just make sure to obtain your PwD UDID certificate before the PSU job application process begins. The key is having the certificate at the time of applying for jobs, not necessarily during the GATE exam. This way, you can still avail all the benefits of PwD reservation during the job application process.
So, it's okay to give GATE under general reservation now, as long as you plan to get your PwD certificate before applying for jobs.
After the declaration of your GATE result if you want to check the list of colleges in which you can get admission then,
I would recommend you to use GATE college predictor tool by Careers360 to get the list of possible colleges you can get with your rank.
Here is the link to the tool:
https://engineering.careers360.com/gate-college-predictor
Click on the above link, fill the required details and you will get the list of possible colleges at your rank.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
Hello aspirant,
The Graduate Aptitude Test in Engineering, or GATE, is a yearly entrance exam that is required for admission to some of the nation's most esteemed universities, such as IISc Banglore, IITs, NITs, IIITs, and many more. The official notification about the GATE 2025 exam has been released by the GATE administration, which for this year is IIT Roorkee.
To know the syllabus and get notes, you can visit the following link:
https://engineering.careers360.com/articles/gate-syllabus-for-cse-computer-science-engineering
Thank you
Hello Pankaj,
Correct any wrong details you provide in the GATE 2025 registration. You should correct any wrong details especially your mobile number. In fact, this number is for receiving important communications from GATE including the OTPs in case you wish to login or updates. While you have used a verified Gmail account, you can still login; however solely depending on the Gmail account may not be enough.
Here's what to do:
Keep looking for any communication from GATE in your email inbox regarding your registration. The best way to prevent future hassles is to get this done now!
Thankyou!
Hi there! Thanks for reaching out to us at Careers360. Congrats on your decent score in the DS AI domain for GATE 2024 - that's awesome!
I totally get your dilemma about which paper to write for GATE this year. It's a tough choice, especially when you're eyeing a career in AI/ML.
Based on your goals, writing the DS and AI paper again could be a solid option. It directly aligns with your career plans and you've already got experience with it. Plus, you might improve your score since you know what to expect now.
That said, the CS and IT paper could give you a broader knowledge base, which some top AI/ML programs appreciate. You could always supplement with AI courses later.
Honestly, both paths can lead you to an AI/ML career. The best choice depends on which specific programs you're targeting and how confident you feel in each subject area.
For personalized advice, you might want to check out our GATE counselling services on the Careers360 website . We've got experts who can dive deep into your specific situation.
Hope this helps! Let me know if you need anything else. Good luck with your GATE prep!
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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