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
| Chapter | Topics |
|---|---|
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.
| 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 |
|
Frequently Asked Questions (FAQs)
Yes, the GATE Engineering Mathematics Syllabus 2027 has been released on the official website.
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.
Candidates can download the GATE 2027 syllabus PDF on the official website.
The ideal time to start GATE preparation is during the pre-final year of undergraduate studies.
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