Engineering Entrance Exam : GATE : GATE Engineering Mathematics Syllabus 2017

GATE Engineering Mathematics Syllabus 2017

GATE 2016 Online Mock Test / Free Trial -

GATE 2017 Engineering Mathematics Syllabus

Section 1 : Linear Algebra

Algebra of Matrices; Inverse, Rank of a matrix; System of linear equations, Symmetric, Skew – symmetric and Orthogonal matrices. Determinants; Eigenvalues and eigenvectors; Diagonalisation of matrices; Cayley – Hamilton Theorem.

Section 2 : Calculus

Functions of single variable : Limit, continuity and differentiability, Mean value theorems, Indeterminate forms and L’Hospital rule, Maxima and minima, Taylor’s series, Fundamental and mean value – theorems of integral calculus. Evaluation of definite and improper integrals, Applications of definite integrals to evaluate areas and volumes.

Functions of two variables : Limit, continuity and partial derivatives; Directional derivative; Total derivative; Tangent plane and normal line; Maxima, minima and saddle points; Method of Lagrange multipliers; Double and triple integrals, and their applications.

Sequence and series : Convergence of sequence and series; Tests for convergence; Power series; Taylor’s series; Fourier Series; Half range sine and cosine series.

Section 3 : Vector Calculus 

Gradient, divergence and curl; Line and surface integrals; Green’s theorem, Stokes theorem and Gauss divergence theorem ( without proofs ).

Section 3 : Complex variables

Analytic functions, Cauchy – Riemann equations, Line integral, Cauchy’s integral theorem and integral formula ( without proof ); Taylor’s and Laurent’ series, Residue theorem ( without proof ) and its applications.

Section 4 : Ordinary Differential Equations

First order equation ( Linear and nonlinear ), Higher order linear differential equations with constant coefficients; Second order linear differential equations with variable coefficients, Method of Variation of parameters; Cauchy – Euler’s equations, power series solutions, Legendre polynomials and Bessel’s functions of the first kind and their properties.

Section 5 : Partial Differential Equations

Classification of second order linear partial differential equations; Method of separation of variables; Laplace equation; Solutions of one dimensional heat and wave equations.

Section 6 : Probability and Statistics

Axioms of probability; Conditional probability; Bayes’ Theorem; Discrete and continuous random variables : Binomial, Poisson and normal distributions; Correlation and linear regression.

Section 7 : Numerical Methods

Solution of a system of linear equations by LU decomposition, Gauss elimination and Gauss – Seidel methods; Lagrange and Newton’s interpolations, Solution of polynomial and transcendental equations by Newton – Raphson method; Numerical integration by trapezoidal rule, Simpson’s rule and Gaussian quadrature rule; Numerical solutions of first order differential equations by Euler’s method and 4th order Runge – Kutta method.

TAGS: , , , , , ,

GATE 2017 Navigation : GATE Ecology and Evolution Syllabus 2017, GATE Syllabus 2017, GATE Textile Engineering and Fibre Science Syllabus 2017, GATE Zoology Syllabus 2017, GATE Microbiology Syllabus 2017, GATE Production and Industrial Engineering Syllabus 2017, GATE Botany Syllabus 2017, GATE Physics Syllabus 2017, GATE Biochemistry Syllabus 2017, GATE Metallurgical Engineering Syllabus 2017, GATE Chemistry Syllabus 2017, GATE Mining Engineering Syllabus 2017, GATE Food Technology Syllabus 2017, GATE Mechanical Engineering Syllabus 2017, GATE Polymer Science and Engineering Syllabus 2017, GATE Thermodynamics Syllabus 2017, GATE Mathematics Syllabus 2017, GATE Solid Mechanics Syllabus 2017, GATE Instrumentation Engineering Syllabus 2017, GATE Materials Science Syllabus 2017, GATE Geology and Geophysics Syllabus 2017, GATE Electrical Engineering Syllabus 2017, GATE Electronics and Communication Engineering Syllabus 2017, GATE 2016 State Codes, GATE 2016 Discipline Codes,

GATE Related : GATE 2017 Engineering Mathematics Syllabus Details, GATE 2017 Syllabus, GATE 2017 Entrance Exam Syllabus, GATE Engineering Mathematics Syllabus 2017, Engineering Mathematics Syllabus for GATE 2017, GATE 2017 Syllabus Download, GATE 2017 Syllabus Information, GATE 2017 Syllabus Material, Graduate Aptitude Test in Engineering 2017 Engineering Mathematics Syllabus, GATE 2017 Engineering Syllabus, GATE 2017 Syllabus Pattern, GATE IIT 2017 Syllabus, GATE 2017 XE Syllabus, Detailed Syllabus of GATE 2017, What is the Syllabus of GATE 2017, Syllabus for GATE Engineering Mathematics 2017, GATE 2017 Linear Algebra Questions, GATE 2017 Entrance Test Syllabus, GATE 2017 Syllabus for Numerical Methods, GATE 2017 Subjects Syllabus, GATE 2017 Probability and Statistics Questions, GATE 2017 Syllabus and Study Material, GATE 2017 New Syllabus, GATE 2017 Engineering Mathematics Question, GATE Syllabus for All Branches 2017, GATE 2017 Preparation Syllabus, GATE 2017 Question Paper, GATE 2017 Question Paper Download,

Posted In engineering entrance exam : gate : Leave a response for gate engineering mathematics syllabus 2017 by nirmala

Leave a Comment for GATE Engineering Mathematics Syllabus 2017

2 Responses to “GATE Engineering Mathematics Syllabus 2017”

  • please mail me the important topics for GATE 2017
    By Amrin from Wardha,maharashtra. on January 6, 2016 at 4:32 pm
  • is engineering mathematics syllabus same for all branches??
    By lalitha surisetti from eluru on October 27, 2015 at 11:33 pm