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GATE 2026 Engineering Mathematics Syllabus (XE - A): IIT Guwahati will publish the GATE Engineering Mathematics syllabus 2026 on the official website. Candidates can acess the GATE 2026 Engineering Mathematics syllabus on this page once released. This section is part of the Engineering Sciences (XE) paper and covers topics such as 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 2026 exam pattern and syllabus for effective preparation. Thorough coverage of the GATE Engineering Mathematics syllabus is essential to scoring well in the Graduate Aptitude Test in Engineering. The authority will conduct the GATE 2026 exam as a computer-based test (CBT).
Indian Institute of Technology (IIT) Guwahati will release the GATE Engineering Mathematics syllabus 2026 on the official website. Candidates can check the GATE 2026 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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No, GATE Engineering Mathematics Syllabus 2026 will be released on the official website.
The syllabus of GATE 2026 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 2026 syllabus PDF on the official website.
Counselling Date:03 June,2025 - 15 July,2025
Counselling Date:09 July,2025 - 12 July,2025
Hello Vinod,
Here is your complete time management strategy and roadmap:
Stage 1: Foundation Phase (June 2025 – Dec 2025)
Stage 2: Strengthening Phase (Jan 2026 – Oct 2026)
Stage 3: Revision & Test Phase (Nov 2026 – Jan 2027)
GATE CSE Syllabus:
Programming, Data Structures, Algorithms, Computer Networks, DBMS, OS, COA, TOC, Compiler Design, Digital Logic, Software Engineering, Discrete Math, Engineering Math, Aptitude.
Job Roles After GATE:
Software Engineer, System Analyst, Scientist (ISRO, DRDO, BARC), PSU roles, M.Tech/MS admissions, Researcher, Assistant Professor.
As of now, CEAP counselling registration for GATE-qualified candidates has not yet opened. The official portal has not released the registration link, which indicates that the process is delayed this year. Usually, the registration begins in May or early June, but since it's already July, it's expected to go live anytime soon. You should keep checking the Anna University CEAP portal regularly for updates. Make sure your GATE scorecard and other documents are ready, so you can register immediately once the link is active.
Hello aspirant,
Yes, the registration for CEAP (Common Engineering Admission Procedure) for GATE-qualified candidates is now open on Anna University’s counselling portal. You can log in using your GATE credentials and complete the online registration, including payment and choice filling. After that, seat allotments will start once all registrations are processed. Keep an eye on the official portal for any updates regarding choice submission deadlines and seat allotment dates.
Yes, it is possible to get admitted to some government postgraduate (PG) programs, including M.Tech, without a GATE score. While GATE is a common and often preferred route for admission to many government institutions, especially IITs and NITs, several alternatives exist.
Here's how you can pursue PG programs without GATE:
Sponsored Seats:
Many IITs and NITs offer sponsored seats in their M.Tech programs. These seats are often available to candidates with relevant work experience (usually at least two years) in a related field.
Quality Improvement Programme (QIP):
This program allows individuals already working in academic institutions to pursue M.Tech degrees at IITs and other institutions without a GATE score.
Entrance Exams Conducted by Specific Institutions:
Some institutions, including IITs and NITs, may conduct their own entrance exams or interviews for specific M.Tech programs, especially for those not seeking GATE-based admission.
State-Level Entrance Exams:
Some state governments conduct their own entrance exams for postgraduate programs in state-funded universities and colleges.
Merit-Based Admission:
Some institutions may offer admission based on academic merit, considering your undergraduate performance and other relevant factors.
Private Institutions:
Private universities and colleges often offer M.Tech programs without mandatory GATE scores, relying on their own entrance exams, interviews, or merit-based admissions.
Study Abroad:
Consider pursuing an MS degree abroad, as many international universities have their own admission criteria, which may not include GATE.
Important Considerations:
Eligibility Criteria: Ensure you meet the specific eligibility criteria of the institution and program you are interested in, as these may vary.
Application Deadlines: Be aware of the application deadlines for each institution and program.
Alternative Exams: If you are considering an institution that conducts its own entrance exam, familiarize yourself with the exam pattern and syllabus.
A flight attendant ensures passenger safety and comfort during flights. Key duties include conducting safety checks, assisting passengers, serving food and drinks, and managing emergencies. They must be well-trained in safety procedures and customer service. A high school diploma is typically required, followed by rigorous training to qualify for the role.
A Flight Engineer monitors and operates an aircraft’s complex systems like engines, fuel, and hydraulics during flight, ensuring optimal performance and safety. They assist pilots with technical issues, conduct inspections, and maintain records. This role requires strong technical knowledge, problem-solving, and communication skills. Training usually involves a degree in aviation or aerospace engineering and specialised certification.
An Aircrew Officer operates and navigates aircraft, ensuring safe flights and compliance with aviation regulations. Key duties include managing flight systems, conducting pre- and post-flight checks, and adhering to safety standards. The role typically requires working five days a week, with around 120 flight hours monthly. Employment may be contractual or permanent, depending on the airline.
An aerospace engineer designs, develops, tests, and maintains aircraft, spacecraft, and related systems. They apply physics and engineering principles to improve aerospace technologies, often working in aviation, defence, or space sectors. Key tasks include designing components, conducting tests, and performing research. A bachelor’s degree is essential, with higher roles requiring advanced study. The role demands analytical skills, technical knowledge, precision, and effective communication.
An air hostess, or flight attendant, ensures passenger safety and comfort during flights. Responsibilities include safety demonstrations, serving meals, managing the cabin, handling emergencies, and post-flight reporting. The role demands strong communication skills, a calm demeanour, and a service-oriented attitude. It offers opportunities to travel and work in the dynamic aviation and hospitality industry.
An aeronautical engineer designs, develops, tests, and maintains aircraft and related systems. They work on components like engines and wings, ensuring performance, safety, and efficiency. The role involves simulations, flight testing, research, and technological innovation to improve fuel efficiency and reduce noise. Aeronautical engineers collaborate with teams in aerospace companies, government agencies, or research institutions, requiring strong skills in physics, mathematics, and engineering principles.
A Safety Manager ensures workplace safety by developing policies, conducting training, assessing risks, and ensuring regulatory compliance. They investigate incidents, manage workers’ compensation, and handle emergency responses. Working across industries like construction and healthcare, they combine leadership, communication, and problem-solving skills to protect employees and maintain safe environments.
An airline pilot operates aircraft to transport passengers and cargo safely. Responsibilities include pre-flight planning, in-flight operations, team collaboration, and post-flight duties. Pilots work in varying schedules and environments, often with overnight layovers. The demand for airline pilots is expected to grow, driven by retirements and industry expansion. The role requires specialized training and adaptability.
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.
An architect plans and designs buildings, ensuring they are safe, functional, and aesthetically pleasing. They collaborate with clients, engineers, and contractors throughout the construction process. Key skills include creativity, design software proficiency, and knowledge of building codes. In India, a 5-year B.Arch degree and registration with the Council of Architecture are required to practise professionally.
Having a landscape architecture career, you are involved in site analysis, site inventory, land planning, planting design, grading, stormwater management, suitable design, and construction specification. Frederick Law Olmsted, the designer of Central Park in New York introduced the title “landscape architect”. The Australian Institute of Landscape Architects (AILA) proclaims that "Landscape Architects research, plan, design and advise on the stewardship, conservation and sustainability of development of the environment and spaces, both within and beyond the built environment". Therefore, individuals who opt for a career as a landscape architect are those who are educated and experienced in landscape architecture. Students need to pursue various landscape architecture degrees, such as M.Des, M.Plan to become landscape architects. If you have more questions regarding a career as a landscape architect or how to become a landscape architect then you can read the article to get your doubts cleared.
Urban Planning careers revolve around the idea of developing a plan to use the land optimally, without affecting the environment. Urban planning jobs are offered to those candidates who are skilled in making the right use of land to distribute the growing population, to create various communities.
Urban planning careers come with the opportunity to make changes to the existing cities and towns. They identify various community needs and make short and long-term plans accordingly.
A plumber installs, maintains, and repairs water, gas, and waste systems in homes and buildings. Their duties include fixing leaks, installing fixtures, testing systems, ensuring safety compliance, and working with other professionals on projects. They also document repairs and may supervise apprentices. Plumbers play a key role in ensuring public health and the smooth functioning of essential utilities.
Individuals who opt for a career as construction managers have a senior-level management role offered in construction firms. Responsibilities in the construction management career path are assigning tasks to workers, inspecting their work, and coordinating with other professionals including architects, subcontractors, and building services engineers.
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.
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 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.
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.
A Loco Pilot operates trains, ensuring safe and timely transport of passengers or goods. Starting as an Assistant Loco Pilot, one can progress to senior roles with experience. The job demands technical knowledge, focus, and adherence to safety protocols. It involves coordination with train staff and may require working long hours under pressure.
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