GATE Application Date:28 Aug' 25 - 28 Sep' 25
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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Frequently Asked Questions (FAQs)
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.
Candidates can download the GATE 2026 syllabus PDF on the official website.
No, GATE Engineering Mathematics Syllabus 2026 will be released on the official website.
The ideal time to start GATE preparation is during the pre-final year of undergraduate studies.
On Question asked by student community
Hello
As an EEE (Electrical and Electronics Engineering) graduate, your core GATE paper is EE (Electrical Engineering).
You can also choose papers like IN (Instrumentation) or EC (Electronics and Communication) if you're comfortable. GATE now allows two-paper combinations EE plus IN is a valid pair.
Choose based on your strengths and future goals (e.g., PSU jobs, M.Tech). Always check the latest GATE brochure for updated paper codes and combinations.
How to clear GATE Exam :
First, know the syllabus and exam pattern.
Make a small study plan and follow it every week.
Read from good books or trusted online notes.
Practice old GATE question papers.
Give mock tests to check speed and accuracy.
Revise your notes and formulas again and again.
How to get Job in PSU:
Score high in GATE, because PSUs take only top ranks.
Keep checking PSU job notices regularly.
Apply on time with your GATE score.
Be ready for interviews or group discussions.
Work on subject knowledge and also your communication skills.
Yes, it will be acceptable. In GATE registration, the name should match your valid photo ID proof in terms of spelling, not the order. Many Indian IDs have surname written first, while the portal generates it as first–middle–last. Since all three parts of your name (Vikash, Rameshbhai, Bhagel) are correct, there won’t be any issue. Just ensure you upload the correct ID proof. During verification, they check spelling, photo, and signature, not the word order.
Hello,
Yes, you can change your category from General to OBC during the GATE 2026 correction window.
GATE always allows candidates to correct details like category. You will need to pay a small correction fee for this change. Make sure you upload a valid OBC certificate as per the format and date mentioned by GATE.
So, wait for the correction window, log in to your application, and update your category to OBC.
Hope it helps !
Hello! If you are preparing for GATE, there are plenty of free resources available online that can boost your preparation. You can easily access e-books, handwritten notes, subject wise PYQs, and test series shared by toppers on different platforms. Along with that, free PDFs and study material are available through various websites and Telegram channels. To make it easier, I will be attaching the link where you can find preparation tips, a study timetable, free study materials, and previous year question papers all in one place.
https://engineering.careers360.com/articles/gate-preparation-timetable
https://engineering.careers360.com/articles/how-to-prepare-for-gate
https://engineering.careers360.com/articles/gate-preparation-material
https://engineering.careers360.com/articles/gate-mock-test
https://engineering.careers360.com/articles/gate-question-papers
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