GATE Engineering Sciences Syllabus 2026: IIT Guwahati will release the GATE 2026 Engineering Science syllabus on the exam's website. The authority will activate the GATE XE syllabus after the release of the notification. It will consist of topics like Calculus, Vector Calculus, Linear Algebra, Complex Variables, Partial Differential Equations, among others. Aspirants can check this article for previous year GATE syllabus for Engineering Science for early preparation. The direct link for last year's GATE Engineering Science syllabus pdf is given below. The GATE 2026 exam for Engineering Sciences(XE) will be held in the month of February 2026.
Direct link to check the previous year GATE Syllabus for Engineering Sciences (XE)
This Story also Contains
- GATE General Aptitude Syllabus 2026
- GATE 2026 Engineering Science Syllabus for Engineering Mathematics (XE-A)
- GATE Exam Pattern 2026 for Engineering Sciences
- GATE Engineering Sciences 2026- Marking Scheme
GATE Engineering Sciences Syllabus 2026: Subject & Topic Wise Weightage IIT Guwahati will conduct the GATE exam for admission to MTech programmes at several prestigious universities. Students should also follow the GATE exam pattern along with the syllabus. Candidates will be able to refer to the GATE exam syllabus for all 30 papers online.
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GATE General Aptitude Syllabus 2026
IIT Guwahati will release the GATE XE syllabus on the official website. The syllabus of General Aptitude will consist of topics such as Verbal Aptitude, Quantitative Aptitude, Analytical Aptitude, and Spatial Aptitude. Below is the detailed GATE GA syllabus, as per previous year brochure.
GATE General Aptitude Syllabus
Chapter
| Topics
|
---|
GATE GA Syllabus for Verbal Aptitude | - Basic English grammar: tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech
- Basic vocabulary: words, idioms, and phrases in context, reading and comprehension, Narrative sequencing.
|
GATE GA Syllabus for Quantitative Aptitude | - Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables
- Numerical computation and estimation: ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series Mensuration and geometry Elementary statistics and probability.
|
GATE GA Syllabus for Analytical Aptitude | Logic: deduction and induction, Analogy, Numerical relations and reasoning |
GATE GA Syllabus for Spatial Aptitude | Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping paper folding, cutting, and patterns in 2 and 3 dimensions. |
GATE 2026 Engineering Science Syllabus for Engineering Mathematics (XE-A)
Engineering Mathematics is compulsory and common for all Engineering Science (XE) sections. The GATE Engineering Mathematics syllabus will consist of topics such as Linear Algebra, Calculus, Vector Calculus, Complex variables, Ordinary Differential Equations, Partial Differential Equations, Probability and Statistics, and Numerical Methods. Aspirants can check the detailed GATE XE syllabus for Engineering Mathematics here.
GATE Engineering Mathematics (XE-A) Syllabus
Topics
| Sub-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,
diagonalization 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
- Eigen value 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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GATE Exam Pattern 2026 for Engineering Sciences
Check the exam pattern for GATE Engineering Sciences paper from the table below. It is crucial to understand the exam pattern of GATE 2026 XE along with the syllabus.
GATE Exam Pattern for XE (Engineering Sciences)
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 | 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.
|
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GATE Engineering Sciences 2026- Marking Scheme
Candidates must check the marking scheme when preparing for the GATE exam. It defines the allocation of marks for various question types. The following table shows the marking schemes for the 3 sections as per last year GATE XE Exam Pattern.
GATE Engineering Science Marking scheme
Subject | Marks Allotted |
---|
|
|
General Aptitude (GA) | 15 |
Engineering Mathematics (XE A) | 15 |
2 choice Subject Questions (B-H) | 70 |
Total | 100 |