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GATE Engineering Mathematics Syllabus 2025 (XE - A): IIT Roorkee has released the GATE 2025 Engineering Mathematics syllabus on the official website, gate2025.iitr.ac.in. Candidates can also check the free download link for GATE Engineering Mathematics syllabus 2025 pdf online. GATE Engineering Maths is the section of the Engineering Sciences (XE Paper). The syllabus of GATE 2025 for Engineering Mathematics includes linear algebra, calculus, vector calculus, complex variables, ordinary differential equations, partial differential equations, probability and statistics, and numerical methods. Moreover, aspirants must follow the GATE 2025 exam pattern and syllabus to prepare for the exam. Candidates must thoroughly prepare the entire GATE 2025 Engineering Mathematics syllabus to score well in the Graduate Aptitude Test in Engineering. The authority will conduct the GATE 2025 exam on February 1, 2, 15 and 16, 2025, as a computer-based test (CBT).
GATE 2025: Syllabus | Sample Papers
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.
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. |
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.
Candidates can download the GATE 2025 syllabus PDF from the official website.
Hi Shubhradev,
MSc students can indeed crack GATE and potentially land PSU jobs, though opportunities may be more limited compared to engineering graduates. Some PSUs do recruit MSc graduates with valid GATE scores, but eligibility criteria vary among organizations. Hence..
Yes, you can apply for PSU (Public Sector Undertaking) jobs with a valid GATE rank, even if you are pursuing an MSc in Electronics and Communication. While many PSUs primarily prefer candidates with a BTech or BE, several PSUs accept MSc graduates in specific disciplines like Electronics, Communication, and related fields.
The eligibility criteria can vary by PSU, so it's important to check the specific requirements for each organization. Some PSUs may allow MSc graduates to apply, especially if the GATE exam is in the relevant engineering discipline (like Electronics and Communication).
Keep an eye on PSU job notifications, as they often list specific qualifications and degree requirements. If you meet the criteria and have a good GATE score, you could have opportunities in various PSUs. You can check more on the given website of Careers360. All the best!
https://engineering.careers360.com/articles/gate-eligibility-criteria
Hello,
Based on your GATE 2024 score of 226 in Electronics and Communication Engineering (ECE) under the SC category, securing admission to IITs may be challenging due to the following considerations:
Qualifying Marks : The GATE 2024 qualifying cutoff for ECE in the SC category was 16.6 marks.
Admission Cutoffs : Admission cutoffs for IITs are typically higher than the qualifying marks and vary across institutes and specializations. For instance, in previous years, the cutoff scores for SC candidates in ECE-related M.Tech programs at IITs ranged significantly higher than your score.
Competition and Seat Availability : Admission to IITs is highly competitive, and candidates with higher GATE scores are generally preferred.
Recommendations :
Explore Other Institutes : Consider applying to National Institutes of Technology (NITs) or other reputable engineering colleges where the cutoff scores may align more closely with your GATE score.
Review Specific Cutoffs : Research the previous years' cutoffs for the specific institutes and programs you're interested in to assess your chances accurately.
Enhance Qualifications : If feasible, consider improving your GATE score in future attempts to increase the likelihood of admission to your desired institute.
While admission to IITs with a GATE score of 226 in the SC category is unlikely, exploring alternative institutes and programs can provide valuable opportunities for your academic and professional growth.
Hope it helps !
it is true that many Public Sector Undertakings (PSUs) recruit candidates based on their performance in the Graduate Aptitude Test in Engineering (GATE) exam, meaning you can get a PSU job through the GATE exam with msc electronics and communication essentially, a good GATE score opens doors to various PSU recruitment opportunities.
If you have high ranks like in top 300,than only you can get job in PSUs(Powergrid,BHEL,ONGC,NTPC etc.)
If your rank is under 2000 you can do masters from IITs/NITs with 12400 stipened per month. I addition with this Many private companies also consider if you are gate qualified for their recruitment.so its a win win situation if you crack gate with good rank.
You can use GATE TIPS AMD TRICKS to achieve good rank for PSUs recruitment.
Hello aspirant,
One of the most prestigious tests in India is the Graduate Aptitude Test in Engineering, or GATE, which gives applicants a wealth of career advancement prospects. Depending on their interests and niche, candidates can choose from any of the 29 disciplines or subjects that will be offered as of 2024.
For complete information about GATE exam, you can visit our site through following link:
https://engineering.careers360.com/exams/gate
Thank you
dropping out of a BTech program in the middle can be a problem but you must focus on your future goals and then you can definitely overcome it first you need to prioritise clearing your backlogs and focus on clearing them as soon as possible. You can consult with your college or university and well then prepare for GATE properly. understand the syllabus properly and focus on the core subjects and understand their marks criteria. practice regularly solve previous year question papers of Gates And also possible join a coaching institute. GATE 2025
A flight attendant is a professional whose primary duty is to ensure the safety and comfort of passengers during an airline flight. An individual who is pursuing a career as a flight attendant is part of the cabin crew for the plane, a team of personnel who operate a commercial, business, or even military aircraft while travelling domestically or internationally.
An individual pursuing a career as a flight attendant is specially trained for the aircraft in which he or she works since passenger safety is their foremost concern. In this article, we will discuss how to become a flight attendant in India or how to become a flight attendant after graduation.
An aerospace engineer is an individual who develops new ideas and technologies that can be used in defence systems, aviation, and spacecraft. He or she not only designs aircraft, spacecraft, satellites, and missiles but also creates test vehicles to ensure optimum functionality. Aerospace engineering is a branch of engineering that deals with the study, design, and development of aerial vehicles such as aircraft and spacecraft.
Aerospace engineering jobs deal with employees who design or build missiles and aircraft for national defence, or spacecraft. Aerospace engineering or aircraft engineering is often referred to as rocket science. The bottom line is that the person who is pursuing a career in aerospace engineering has to deal with multiple teams at different levels and work across various technologies.
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.
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An air hostess is a flight attendant also known as a cabin crew or steward. An air hostess undertakes several pre-flight, in-flight, and post-flight duties and is responsible for ensuring the safety and comfort of passengers on both national and international flights. A career as an air hostess might be desirable for you if you are excited about a job in which you can help people and travel to exciting places.
Air hostesses play a crucial role in the flight crew, working closely with pilots and ground personnel to provide a safe and comfortable travel experience, even beyond their hospitality responsibilities. Being flexible, having strong communication skills, and being dedicated to the comfort of passengers are all necessary for their dynamic function, which makes them essential to the entire travel experience.
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.
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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.
A geologist attempts to comprehend the historical backdrop of the planet we live on, all the more likely to anticipate the future and clarify current events. He or she analyses the components, deployments, results, physical characteristics, and past of the planet. A geologist examines the landforms and landscapes of the earth in relation to the geology, climatic, and human processes that have shaped them.
A geologist studies earth procedures, for example, seismic tremors, avalanches, floods, and volcanic eruptions to review land and draw up safe structure plans. When he or she researches earth materials, explores metals and minerals, yet in addition search for oil, petroleum gas, water, and strategies to extricate these.
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.
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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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A loco pilot has thorough knowledge and understanding of the railway operations, rules, regulations, protocols, and measures to take in times of emergency. Their role is crucial in ensuring passenger and freight trains' smooth and safe operation. Here, in this article, we will discuss everything on how to how to become a loco pilot.
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