GATE Engineering Mathematics Syllabus 2026 with Topic Wise Weightage

GATE Engineering Mathematics Syllabus 2026 with Topic Wise Weightage

Jalla VenkateshUpdated on 11 Dec 2025, 06:27 PM IST

GATE 2026 Engineering Mathematics Syllabus (XE - A): IIT Guwahati has published the GATE Engineering Mathematics syllabus 2026 on the official website gate2026.iitg.ac.in. The Engineering Mathematics syllabus covers Linear Algebra, Functions of Single Variable, Vector Calculus, Complex Variables, Numerical Methods, and more. Candidates can directly download the GATE 2026 engineering mathematics syllabus with the link provided in this article below. 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. The authority will conduct the GATE 2026 exam on February 7, 8, 14, and 15, 2026. The GATE 2026 Engineering Mathematics exam is scheduled on February 7, 2026.
Direct link to download the GATE 2026 Engineering Mathematics Syllabus (XE - A)

GATE Engineering Mathematics Syllabus 2026 with Topic Wise Weightage
GATE Engineering Mathematics Syllabus 2026 with Topic Wise Weightage

The authority conducts the Graduate Aptitude Test in Engineering for postgraduate admission and PSU recruitment. Candidates must go through the GATE 2026 exam pattern and syllabus to score good marks. The GATE Engineering Mathematics syllabus is essential to scoring well in the GATE Exam.

GATE Engineering Mathematics Syllabus 2026

ChapterTopics

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 2026 Exam Pattern for XE (Engineering Mathematics)

ParticularsDetails

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.

Frequently Asked Questions (FAQs)

Q: Is the GATE Engineering Mathematics Syllabus 2026 released?
A:

Yes, the GATE Engineering Mathematics Syllabus 2026 has been released on the official website.

Q: What is the syllabus of GATE 2026 Engineering Maths?
A:

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.

Q: When should a student start preparing for GATE?
A:

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

Q: Where can I download the GATE 2026 syllabus PDF?
A:

Candidates can download the GATE 2026 syllabus PDF on the official website.

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Questions related to GATE

On Question asked by student community

Have a question related to GATE ?

Hello aspirant,

If you missed the correction window for GATE 2026, the portal will not allow changes right now. Usually, IIT opens a correction period only once. Since you need to change your surname, the best option is to contact the GATE organizing institute through their official support email or helpline and explain your issue with valid proof like your Aadhaar or school documents. They sometimes allow corrections in genuine cases, but it depends on their approval. Make sure to keep all documents ready when you contact them.

FOR REFERENCE : https://engineering. careers360.com/articles/gate-application-form-correction

THANK YOU

Hi Aanchal,

Balancing Engineering semester exams with competitive exam preparation can feel confusing but with right and realistic routine makes it very achievable.

Start by dividing your day into two parts: use college hours and afternoons for semester prep and keep early mornings or late evenings for GATE prep.

Make weekly targets instead of daily pressure, revise class notes on the same day.

Use weekends for mock tests, previous year papers and deeper revision.

Try to limit social media, study in 40 to 50 mins focused blocks and take short breaks.

Most importantly stay consistent and give yourself patience.

With consistent timetable and steady effort you can manage both in smooth. All the best Aanchal!

If you are interested in Development Studies and planning to appear for GATE XH C6 (Sociology), then you are already moving in the right direction. Having a backlog does not disqualify you from pursuing higher studies, as long as you clear it before the admission process begins. Since you mentioned that you can clear the backlog before February 2026, it should not affect your eligibility for PG admissions. Most universities require a completed bachelor’s degree with no active backlog at the time of admission.

Your CGPA of 6.9 is acceptable for many institutes, although some top institutes may have higher cutoffs. Your interest in sociology and Development Studies will be helpful because the GATE XH paper tests conceptual understanding. If you prepare consistently and score well in GATE, you can apply to reputed institutes offering Development Studies such as IITs, TISS, JNU, Azim Premji University, and others.

Focus on clearing your remaining backlog and continue your GATE preparation strongly. If you balance both, you can build a good academic profile for admission into Development Studies. All the best.


Hello,

You can change your category in the GATE application by logging into the GOAPS portal during the correction window and using the "Edit GATE Application Form" option to make the change. You will likely need to pay an additional fee for the change and may need to provide a valid category certificate.

I hope it will clear your query!!

Hello,

Other than the GATE exam, admission to MTech programs in Data Science/AI for 2026 includes university-specific entrance tests like VITMEE, BITS HD Entrance Test, and SRMJEEE PG, as well as state-level common entrance tests such as Karnataka PGCET and TS PGECET.

I hope it will clear your query!!