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    GATE Engineering Mathematics Syllabus 2027 with Topic Wise Weightage

    GATE Engineering Mathematics Syllabus 2027 with Topic Wise Weightage

    K Guna SahitiUpdated on 25 Jul 2026, 04:25 PM IST

    GATE Engineering Mathematics Syllabus 2027 - IIT Madras has uploaded the revised GATE 2027 Engineering Mathematics Syllabus on the official website, gate2027.iitm.ac.in. The GATE XE0 syllabus 2027 consists of Linear Algebra, Functions of Single Variable, Vector Calculus, Complex Variables, Numerical Methods. Aspirants are advised to prepare for XE0 exam using the syllabus and the GATE exam pattern. Note that Engineering Mathematics is a compulsory paper of the Engineering Sciences. The authority will conduct the GATE 2027 exam on February 6, 7, 13, 14, 20 and 21, 2027. Candidates can check the GATE Engineering Mathematics Syllabus 2027 on this page.
    Direct link to check the GATE 2027 Engineering Mathematics Syllabus PDF

    GATE Engineering Mathematics Syllabus 2027

    ChapterTopics
    GATE Engineering Mathematics Syllabus 2027 with Topic Wise Weightage
    GATE Engineering Mathematics Syllabus 2027

    GATE Engineering Mathematics Syllabus for Linear Algebra

    Determinant, inverse and rank of a matrix; System of linear equations (conditions for unique solution, no solution and infinite number of solutions); Eigenvalues and eigen vectors of matrices; Properties of eigenvalues 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 nonnegative terms (Cauchy Condensation Test, Ratio, Root and integral tests); Power series; Taylor's series.

    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; Definition and examples of 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, One dimensional heat and wave equations, two dimensional Laplace equation, Method of separation of variables, Fourier series method

    GATE Engineering Mathematics Syllabus for Probability and Statistics

    Axioms of probability; Conditional probability; Total probability theorem, 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 Bisection method and Newton-Raphson method; Numerical integration by trapezoidal rule and Simpson's 1/3rd and 3/8th rules; Numerical solutions of first order differential equations by Euler's method.

    Related links:

    GATE 2027 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 2027 released?
    A:

    Yes, the GATE Engineering Mathematics Syllabus 2027 has been released on the official website.

    Q: What is the syllabus of GATE 2027 Engineering Maths?
    A:

    The syllabus of GATE 2027 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: Where can I download the GATE 2027 syllabus PDF?
    A:

    Candidates can download the GATE 2027 syllabus PDF on the official website.

    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.

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    Questions related to GATE

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    Have a question related to GATE ?

    Hello Student,

    The topic wise mark distribution for GATE 2027 has not been officially released. GATE does not prescript fixed marks for each topic. The weightage varies every year independence on the question paper.

    Please mention your GATE paper/branch (such as CSE, ECE, EE, ME, CE, DA, etc.), and we

    Hello Dear Student,

    Yes, you can appear for the GATE Mechanical Engineering (ME) paper even if you have a B.E./B.Tech in Aeronautical Engineering , provided you meet the GATE eligibility criteria.

    However, qualifying GATE ME does not automatically make you eligible for PSU jobs .

    • GATE ME: You are eligible

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    There is no fixed GATE score that guarantees admission to JEC Jabalpur. The required score varies every year depending on the branch, number of applicants, category, and cutoff trends. As an OBC candidate, you may receive category benefits if applicable. It is advisable to aim for a high GATE