GATE 2021 Engineering Mathematics Syllabus (Available) – Get (XE) A PDF Here
GATE 2021 Syllabus of Mathematics has been Released now. GATE 2021 is a national level exam organized by IIT Bombay (IITB). The Engineering Graduation Skill Test (GATE 2021) is organized for admission to PG courses in the field of engineering and technology, specifically ME / M.Tech.
GATE 2021 Officially Question papers have been released on 5th, 6th, 7th, And 12th, 13th & 14th February 2021. GATE 2021 Exam Date has been Announced by IIT Bombay Authority.
The Exam will be held on 5th, 6th, 7th And 12th, 13th & 14th February 2021. See here for complete information about the GATE 2021 Syllabus.
GATE 2021 Engineering Mathematics Syllabus – PDF Released
GATE 2021 Engineering Mathematics Syllabus has been Released. Click Here to Download PDF.
GATE 2021 Engineering Mathematics Syllabus
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 Chandigarh University, Punjab 2020 Admission Open for all Courses. Apply Now
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Section 1: Linear Algebra
Algebra of matrices; Inverse and rank of a matrix; System of linear equations; Symmetric, skewsymmetric and orthogonal matrices; Determinants; Eigenvalues and eigenvectors; Diagonalisation of matrices; CayleyHamilton Theorem.
Section 2: Calculus
Functions of the single variable: Limit, continuity and differentiability; Mean value theorems; Indeterminate forms and L’Hospital’s rule; Maxima and minima; Taylor’s theorem; Fundamental theorem and mean valuetheorems 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 4: Complex variables
Analytic functions; CauchyRiemann equations; Line integral, Cauchy’s integral theorem and integral formula (without proof); Taylor’s series and Laurent series; Residue theorem (without proof) and its applications.
Section 5: Ordinary Differential Equations
Firstorder equations (linear and nonlinear); Higher order linear differential equations with constant coefficients; Secondorder linear differential equations with variable coefficients; Method of variation of parameters; CauchyEuler equation; Power series solutions; Legendre polynomials, Bessel functions of the first kind and their properties.
Section 6: Partial Differential Equations
Classification of secondorder linear partial differential equations; Method of separation of variables; Laplace equation; Solutions of onedimensional heat and wave equations.
Section 7: 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 8: Numerical Methods
Latest Applications For Various UG & PG Courses Open 2020:

 Manav Rachna University, Haryana – 2020 UG & PG Admission Open. Apply Now
 Bennett University (Times Group), Admission Open for 2020. Apply Now
 Chandigarh University, Punjab 2020 Admission Open for all Courses. Apply Now
 MIT World Peace University, Admissions Open for All Courses 201920. Apply Now
 St. Andrew’s Institute of Technology and Management, Admission open 2020. Apply Now
A solution of systems of linear equations using LU decomposition, Gauss elimination, and GaussSeidel methods; Lagrange and Newton’s interpolations, Solution of polynomial and transcendental equations by NewtonRaphson method; Numerical integration by trapezoidal rule, Simpson’s rule, and Gaussian quadrature rule; Numerical solutions of firstorder differential equations by Euler’s method and 4th order RungeKutta method.
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